Organization: Pearson Education Product Name: Investigations 3 Common Core Grade 5 Product Version: v1.0 Source: IMS Online Validator Profile: 1.2.0 Identifier: realize-11f53d30-e4ba-37be-b819-c5769813644d Timestamp: Wednesday, February 6, 2019 10:20 AM EST Status: VALID! Conformant: true ----- VALID! ----- Resource Validation Results The document is valid. ----- VALID! ----- Schema Location Results Schema locations are valid. ----- VALID! ----- Schema Validation Results The document is valid. ----- VALID! ----- Schematron Validation Results The document is valid. Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. - 1DB21288-7053-11DF-8EBF-BE719DFF4B22 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. - 1DA19174-7053-11DF-8EBF-BE719DFF4B22 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. - 1DA8E6C2-7053-11DF-8EBF-BE719DFF4B22 Classify two-dimensional figures in a hierarchy based on properties. - 1E0D090E-7053-11DF-8EBF-BE719DFF4B22 Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. - 1DF5B920-7053-11DF-8EBF-BE719DFF4B22 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. - 1DFD3DDA-7053-11DF-8EBF-BE719DFF4B22 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. - 1DC0E6DC-7053-11DF-8EBF-BE719DFF4B22 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. - 1DFA6114-7053-11DF-8EBF-BE719DFF4B22 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. - 1DEA1322-7053-11DF-8EBF-BE719DFF4B22 Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. - 1DB89338-7053-11DF-8EBF-BE719DFF4B22 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. - 1E05F22C-7053-11DF-8EBF-BE719DFF4B22 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. - 1DFB949E-7053-11DF-8EBF-BE719DFF4B22 Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. - 1DD8D468-7053-11DF-8EBF-BE719DFF4B22 Interpret multiplication as scaling (resizing), by: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n x a) /(n x b) to the effect of multiplying a/b by 1. - 1DD9F0F0-7053-11DF-8EBF-BE719DFF4B22 Fluently multiply multi-digit whole numbers using the standard algorithm. - 1DBF3422-7053-11DF-8EBF-BE719DFF4B22 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) - 1DC7693A-7053-11DF-8EBF-BE719DFF4B22 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. - 1E096CC2-7053-11DF-8EBF-BE719DFF4B22 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. - 1DC286F4-7053-11DF-8EBF-BE719DFF4B22 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? - 1DE4813C-7053-11DF-8EBF-BE719DFF4B22 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . - 1DCAB7DE-7053-11DF-8EBF-BE719DFF4B22 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) - 1DD3A600-7053-11DF-8EBF-BE719DFF4B22 Use place value understanding to round decimals to any place. - 1DBAA114-7053-11DF-8EBF-BE719DFF4B22 Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. - 1DF7BF18-7053-11DF-8EBF-BE719DFF4B22 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. - 1DDEC3E6-7053-11DF-8EBF-BE719DFF4B22 Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). - 1DB65B40-7053-11DF-8EBF-BE719DFF4B22 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. - 1DD6625A-7053-11DF-8EBF-BE719DFF4B22 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). - 1E03D00A-7053-11DF-8EBF-BE719DFF4B22 Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. - 1DECFD94-7053-11DF-8EBF-BE719DFF4B22 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. - 1DB01910-7053-11DF-8EBF-BE719DFF4B22 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. - 1DE199F4-7053-11DF-8EBF-BE719DFF4B22 Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. - 1DF382F4-7053-11DF-8EBF-BE719DFF4B22 Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. - 1DDB862C-7053-11DF-8EBF-BE719DFF4B22 Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? - 1DD01CA6-7053-11DF-8EBF-BE719DFF4B22 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. - 1DA33B6E-7053-11DF-8EBF-BE719DFF4B22 List of all Files Validated: imsmanifest.xml I_001dd05c-d796-3388-8c51-4e22df0c80bc_R/BasicLTI.xml I_002a1529-b8ed-3ea4-82d1-0ece0ff02c86_R/BasicLTI.xml I_003dee1a-7d61-381b-ab3d-2760849838a0_R/BasicLTI.xml I_005114e0-0efc-3507-a1e3-603368b2dd94_R/BasicLTI.xml I_006d9e5d-45ef-38af-9ac8-193797134d98_1_R/BasicLTI.xml I_00706174-7b37-32f9-8110-e65be5cbd4d7_1_R/BasicLTI.xml I_00aafb8c-01ee-30e6-9261-042358ab4ccb_R/BasicLTI.xml I_00ce6b05-95b4-372d-b7dd-ae7d15ddc5f7_R/BasicLTI.xml I_0101d457-a885-348c-8ca2-c449f3401a02_R/BasicLTI.xml I_013e3bc2-6829-3ec9-ba44-ef2e0959e1a0_1_R/BasicLTI.xml I_016790a9-c71d-3502-aa96-eb198cea4394_R/BasicLTI.xml I_01689567-ffb0-3c9c-aef0-19dd45bad65b_1_R/BasicLTI.xml I_016a6f3b-3fff-3bed-89a1-831695b31f34_R/BasicLTI.xml I_01765305-1ebd-39a4-8cb2-e09baad2e6ad_1_R/BasicLTI.xml 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I_fee1244d-ff41-3c76-aa15-2c76940ea5f9_R/BasicLTI.xml I_ff12101c-0572-33ab-9566-96f01406b59c_1_R/BasicLTI.xml I_ff13fa9d-d814-3daf-9242-4126fdc16e33_R/BasicLTI.xml I_ff30cb3f-191d-347b-87dd-d763c20edbfb_R/BasicLTI.xml I_ff61f0ff-db12-3623-9b2c-0aa88027993e_R/BasicLTI.xml I_ff8258dd-02b1-3202-b1f2-d48fc088302b_1_R/BasicLTI.xml I_ffa6d0c7-99bb-3cfa-96fa-567ed35e632d_R/BasicLTI.xml I_ffb81b1a-52a6-3c1f-ba68-9a09a6781133_R/BasicLTI.xml I_ffc7a9ca-9650-3ab4-9442-970dbb7e33a4_R/BasicLTI.xml I_ffcb9360-1b52-3f45-bf9a-018ec4b297b6_R/BasicLTI.xml I_ffccb852-2cf4-3580-aec8-98fdaf0b2e9b_1_R/BasicLTI.xml Title: Investigations 3 Common Core Grade 5 2017 Tools Container Math Tools Grade 5 Game Center Math Words and Ideas Grade 5: Accessible Student Activity Book Unit 1 - Puzzles, Clusters, and Towers Inv.1 - Properties of Numbers S1.1 - Building and Using Arrays Activity (3) U1 S1.1 - Number Puzzles: 1 Clue Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U1 S1.1 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S1.1 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S1.1 - Family Letter Factors Multiples Multiplication and Division Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Arrays and Unmarked Arrays Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S1.2 - Identifying Properties of Numbers Activity U1 S1.2 - Number Puzzles: 2 Clues Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U1 S1.2 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S1.3 - What Numbers Have Which Properties? Activity (2) U1 S1.3 - Number Puzzles Recording Sheet Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U1 S1.3 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S1.3 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S1.3 - Family Letter: Homework U1 S1.3 - Family Letter: Practicing Multiplication Facts Learning Multiplication Facts S1.4 - Order of Operations Math Workshop Revisit U1 S1.3 - Number Puzzles Recording Sheet Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S1.4 - Order of Operations Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U1 S1.4 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S1.4 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S1.4 - Family Letter Order of Operations Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. S1.5 - Number Puzzles and Order of Operations Math Workshop Revisit U1 S1.3 - Number Puzzles Recording Sheet Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Fluently multiply multi-digit whole numbers using the standard algorithm. Revisit U1 S1.4 - Order of Operations Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Fluently multiply multi-digit whole numbers using the standard algorithm. Assessment Activity U1 S1.5 - Assessment: Quiz 1 Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Session Follow-Up U1 S1.5 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S1.5 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Inv. 2 - Multiplication Strategies S2.1 - Naming Multiplication Strategies Session Follow-Up U1 S2.1 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S2.1 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Multiplication Strategies Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S2.2 - Using Arrays to Represent Multiplication Activity U1 S2.2 - Solving Multiplication Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U1 S2.2 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S2.2 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S2.3 - Which Product Is Greater? Session Follow-Up U1 S2.3 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S2.3 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S2.4 - Multiplication Cluster Problems Math Workshop U1 S2.4 - Multiplication Cluster Problems Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Game: Multiplication Compare Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S2.4 - Problems Involving Teams Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U1 S2.4 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S2.4 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Multiplication and Division Cluster Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.5 - Multiplication Cluster Problems, continued Math Workshop U1 S2.5 - More Multiplication Cluster Problems Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Revisit U1 S2.4 - Problems Involving Teams Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Game: Multiplication Compare Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Assessment Activity U1 S2.5 - Assessment: Quiz 2 Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Session Follow-Up U1 S2.5 - Daily Practice Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Multiplication and Division Cluster Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.6 - How Do I Start? Activity U1 S2.6 - Starter Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U1 S2.6 - Daily Practice Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. U1 S2.6 - Homework Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Equivalent Expressions in Multiplication Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S2.7 - Examining Multiplication Strategies Assessment Activity U1 S2.7 - Assessment: What Is the Answer? Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Math Workshop Revisit U1 S2.6 - Starter Problems Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S2.7 - More Starter Problems Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Fluently multiply multi-digit whole numbers using the standard algorithm. Game: Multiplication Compare Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U1 S2.7 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U1 S2.7 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Inv. 3 - Division Strategies S3.1 - Solving a Division Problem Session Follow-Up U1 S3.1 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U1 S3.1 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Mathematical Symbols and Notation Remainders: Answering the Question Asked S3.2 - Multiple Towers Activity U1 S3.2 - Problems about Multiples of 21 Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U1 S3.2 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U1 S3.2 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Multiple Towers Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S3.3 - Solving More Division Problems Activity U1 S3.3 - Division Problems Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U1 S3.3 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Division Strategies: 2-Digit Divisors Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S3.4 - Multiplication and Division Relationships on the Multiple Tower Activity U1 S3.4 - Numbers Off the Tower Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Assessment Activity U1 S3.4 - Assessment: Quiz 3 Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U1 S3.4 - Daily Practice Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. U1 S3.4 - Homework Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. S3.5 - Division Cluster Problems Activity U1 S3.5 - Division Cluster Problems Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U1 S3.5 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U1 S3.5 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S3.6 - Practicing Division Math Workshop Revisit U1 S3.5 - Division Cluster Problems Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U1 S3.6 - Problems about Division Compare Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U1 S3.6 - Solving Division Problems Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Game: Division Compare Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U1 S3.6 - Daily Practice Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. U1 S3.6 - Homework Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. S3.7 - Practicing Division, continued Math Workshop Revisit U1 S3.5 - Division Cluster Problems Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U1 S3.6 - Problems about Division Compare Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U1 S3.6 - Solving Division Problems Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Game: Division Compare Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Assessment Activity U1 S3.7 - Assessment: Solving Multiplication and Division Problems Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U1 S3.7 - Daily Practice Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Unit 2 - Prisms and Solids Inv.1 - Finding the Volume of Solids S1.1 - How Many Cubes? Activity (3) U2 S1.1 - How Many Cubes? Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. U2 S1.1 - A Strategy for Finding Volume Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Session Follow-Up U2 S1.1 - Daily Practice Curriculum Standards: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. U2 S1.1 - Homework Curriculum Standards: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. U2 S1.1 - Family Letter Volume of Rectangular Prisms Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Rectangular Prisms Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. S1.2 - Strategies for Finding Volume Activity U2 S1.2 - Volume of Boxes Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Session Follow-Up U2 S1.2 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U2 S1.2 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U2 S1.2 - Family Letter Volume Formulas Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. S1.3 - Doubling the Number of Cubes Activity U2 S1.3 - Doubling the Number of Cubes Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Session Follow-Up U2 S1.3 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U2 S1.3 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Changing the Dimensions and Changing the Volume Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Rectangular Prisms Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. S1.4 - How Many Packages? Activity (2) U2 S1.4 - How Many Packages in Box 1? Curriculum Standards: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Session Follow-Up U2 S1.4 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U2 S1.4 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S1.5 - Finding the Volume of Rectangular Prisms Math Workshop U2 S1.5 - Volume of Rectangular Prisms Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Revisit U2 S1.4 - How Many Packages in Box 1? Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. U2 S1.5 - Doubling and Halving Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Assessment Activity U2 S1.5 - Assessment: Quiz 1 Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Session Follow-Up U2 S1.5 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Volume Formulas Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Standard Cubic Units Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. S1.6 - Combining Volumes Activity U2 S1.6 - Volume of Solids Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Math Workshop U2 S1.6 - Volume of Solids U2 S1.6 - How Many Packages in Box 2? Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Revisit U2 S1.4 - How Many Packages in Box 1? Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. U2 S1.6 - Finding Volume Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Session Follow-Up U2 S1.6 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U2 S1.6 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Finding the Volume of Solids Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. S1.7 - Finding Volume and Designing Boxes Math Workshop Revisit U2 S1.6 - Volume of Solids Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Revisit U2 S1.6 - Finding Volume Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Activity U2 S1.7 - Design a Box Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Session Follow-Up U2 S1.7 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U2 S1.7 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S1.8 - Designing Boxes, continued Assessment Activity U2 S1.8 - Assessment: Finding the Volume of a Solid Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Activity Revisit U2 S1.7 - Design a Box Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Session Follow-Up U2 S1.8 - Daily Practice Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. U2 S1.8 - Homework Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Inv. 2 - Using Standard Cubic Units S2.1 - Finding Volume in Cubic Centimeters Session Follow-Up U2 S2.1 - Daily Practice Curriculum Standards: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. U2 S2.1 - Homework Curriculum Standards: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Standard Cubic Units Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. S2.2 - Building Models of Volume Units Session Follow-Up U2 S2.2 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Standard Cubic Units Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. S2.3 - The Space Inside Our Classroom Session Follow-Up U2 S2.3 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U2 S2.3 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Length Measurement Tools Measuring Accurately S2.4 - Measuring Volume in Cubic Centimeters Assessment Activity U2 S2.4 - Assessment: Measuring Volume in Cubic Units Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Activity U2 S2.4 - Boxes for Centimeter Cubes Curriculum Standards: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems. Session Follow-Up U2 S2.4 - Daily Practice Curriculum Standards: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Unit 3 - Rectangles, Clocks, and Tracks Inv.1 - Comparing and Ordering Fractions S1.1 - What Do You Already Know About Fractions? Activity U3 S1.1 - What Do You Already Know? Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S1.1 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U3 S1.1 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U3 S1.1 - Family Letter Fractions and Decimals Curriculum Standards: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? What is a Fraction? S1.2 - Equivalent Fractions Activity (1) U3 S1.2 - Representing Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Activity (3) U3 S1.2 - Equivalent Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U3 S1.2 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U3 S1.2 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U3 S1.2 - Family Letter Fraction Equivalencies Naming Fractions S1.3 - Putting Fractions in Order Math Workshop Revisit U3 S1.2 - Representing Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Revisit U3 S1.2 - Equivalent Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U3 S1.3 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Comparing and Ordering Fractions Fraction Equivalencies S1.4 - Comparing Fractions Activity (2) U3 S1.4 - Which Is Greater Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S1.4 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) U3 S1.4 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Comparing and Ordering Fractions S1.5 - Comparing and Ordering Fractions Math Workshop Revisit U3 S1.4 - Which Is Greater Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U3 S1.5 - Fraction Problems Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Game: In Between Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S1.5 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) U3 S1.5 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Comparing and Ordering Fractions S1.6 - Fraction Problems Math Workshop Revisit U3 S1.5 - Fraction Problems Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Game: In Between Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U3 S1.6 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) U3 S1.6 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Comparing and Ordering Fractions Inv. 2 - Adding and Subtracting Fractions S2.1 - Fractions on Clocks Activity (2) U3 S2.1 - Clock Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Activity (3) U3 S2.1 - Clock Fractions Addition Problems Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U3 S2.1 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) U3 S2.1 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Adding Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Using Equivalent Fractions to Add or Subtract Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) S2.2 - Using a Clock to Add Fractions Activity (2) Game: Roll Around the Clock Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U3 S2.2 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) U3 S2.2 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Adding Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) S2.3 - Adding Fractions Activity U3 S2.3 - Using Rectangles to Add Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Math Workshop U3 S2.3 - Adding Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Game: Roll Around the Clock Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S2.3 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U3 S2.3 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Adding Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) S2.4 - Fraction Tracks Assessment Activity U3 S2.4 - Assessment: Quiz 1 Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Fluently multiply multi-digit whole numbers using the standard algorithm. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U3 S2.4 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Comparing and Ordering Fractions S2.5 - Playing Fraction Track Activity (2) Game: Fraction Track Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S2.5 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) U3 S2.5 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Adding Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) S2.6 - Playing Fraction Track, continued Activity Game: Fraction Track Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S2.6 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U3 S2.6 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Using Equivalent Fractions to Add or Subtract Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) S2.7 - Subtracting Fractions Activity (2) U3 S2.7 - Subtracting Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Assessment Activity U3 S2.7 - Assessment: Addition and Subtraction with Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S2.7 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U3 S2.7 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Subtracting Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Inv. 3 - Adding and Subtracting Mixed Numbers S3.1 - Fraction Track to 2 Math Workshop U3 S3.1 - Adding and Subtracting Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Game: Fraction Track to 2 Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S3.1 - Daily Practice Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. U3 S3.1 - Homework Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Subtracting Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Using Equivalent Fractions to Add or Subtract Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) S3.2 - Adding and Subtracting Fractions Math Workshop Revisit U3 S3.1 - Adding and Subtracting Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Game: Fraction Track to 2 Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S3.2 - Daily Practice Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. U3 S3.2 - Homework Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Subtracting Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Using Equivalent Fractions to Add or Subtract Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) S3.3 - Addition Compare with Fractions Math Workshop U3 S3.3 - Addition and Subtraction Problems with Fractions Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Game: Addition Compare with Fractions Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U3 S3.3 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U3 S3.3 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Adding and Subtracting Mixed Numbers With Unlike Denominators Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . S3.4 - Fractions on a Line Plot Activity U3 S3.4 - Grasshopper Lengths Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Math Workshop U3 S3.4 - Grasshopper Lengths Revisit U3 S3.3 - Addition and Subtraction Problems with Fractions Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Game: Addition Compare with Fractions Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Session Follow-Up U3 S3.4 - Daily Practice Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Data on Line Plots Curriculum Standards: Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. S3.5 - Adding and Subtracting Mixed Numbers Math Workshop U3 S3.5 - Grasshopper Collections Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. U3 S3.5 - Adding and Subtracting Mixed Numbers Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Assessment Activity U3 S3.5 - Assessment: Quiz 2 Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Session Follow-Up U3 S3.5 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U3 S3.5 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Adding and Subtracting Mixed Numbers With Unlike Denominators Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . S3.6 - Adding and Subtracting Mixed Numbers, continued Math Workshop Revisit U3 S3.5 - Grasshopper Collections Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Revisit U3 S3.5 - Adding and Subtracting Mixed Numbers Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Assessment Activity U3 S3.6 - Assessment: Adding and Subtracting Fractions and Mixed Numbers Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Make a line plot to display a data set of measurements in fractions of a unit (1/2 , 1/4 , 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Session Follow-Up U3 S3.6 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U3 S3.6 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Adding and Subtracting Mixed Numbers With Unlike Denominators Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Unit 4 - How Many People and Teams? Inv.1 - Multiplication Strategies S1.1 - Multiplication Review Activity U4 S1.1 - Multiplication: How Did I Solve It? Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U4 S1.1 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U4 S1.1 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U4 S1.1 - Family Letter Multiplication Strategies Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S1.2 - Multiplication Practice Activity U4 S1.2 - Multiplication Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U4 S1.2 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U4 S1.2 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U4 S1.2 - Family Letter Multiplication Strategies Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S1.3 - U.S. Standard Algorithm for Multiplication Activity (1) U4 S1.3 - Two Algorithms: What Do They Mean? Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Activity (3) U4 S1.3 - Applying the U.S. Standard Algorithm for Multiplication Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Session Follow-Up U4 S1.3 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U4 S1.3 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Comparing Multiplication Algorithms Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. The U.S. Standard Algorithm for Multiplication Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S1.4 - Practicing the U.S. Standard Algorithm Math Workshop U4 S1.4 - Practicing the U.S. Algorithm Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U4 S1.4 - Solving Multiplication Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Assessment Activity U4 S1.4 - Assessment: Quiz 1 Session Follow-Up U4 S1.4 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. The U.S. Standard Algorithm for Multiplication Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Writing Powers of 10 Using Exponents Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. S1.5 - Solving More Multiplication Problems Math Workshop Revisit U4 S1.4 - Practicing the U.S. Algorithm Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Revisit U4 S1.4 - Solving Multiplication Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Assessment Activity U4 S1.5 - Assessment: Solving a Multiplication Problem in Two Ways Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Session Follow-Up U4 S1.5 - Daily Practice Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . U4 S1.5 - Homework Curriculum Standards: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 , by observing that 3/7 < 1/2 . Inv. 2 - Division Strategies and Notation S2.1 - Representing a Division Problem Session Follow-Up U4 S2.1 - Daily Practice Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. U4 S2.1 - Homework Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Division Strategies: 2-Digit Divisors Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.2 - Division Notation Activity U4 S2.2 - Division Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S2.2 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S2.2 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Division Strategies: 2-Digit Divisors Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.3 - First Steps in Solving Division Problems Activity (2) U4 S2.3 - Counting Around the Room Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S2.3 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S2.3 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.4 - Refining Division Strategies Math Workshop U4 S2.4 - Division Starter Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S2.4 - Classroom Supplies Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S2.4 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S2.4 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.5 - Refining Division Strategies, continued Math Workshop Revisit U4 S2.4 - Division Starter Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S2.4 - Classroom Supplies Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S2.5 - Solving Division Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S2.5 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S2.5 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.6 - Division: How Did I Solve It? Math Workshop U4 S2.6 - Division: How Did I Solve It? Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S2.4 - Classroom Supplies Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S2.5 - Solving Division Problems Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Activity U4 S2.6 - Division: How Did I Solve It? Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Assessment Activity U4 S2.6 - Assessment: Quiz 2 Session Follow-Up U4 S2.6 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S2.6 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.7 - Examining Division Strategies Assessment Activity U4 S2.7 - Assessment: 701 ÷ 27 Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Math Workshop Revisit U4 S2.4 - Classroom Supplies Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S2.5 - Solving Division Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S2.7 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Inv. 3 - Using the Operations S3.1 - Field Day Refreshments Activity U4 S3.1 - Field Day Refreshments Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S3.1 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.1 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Division Strategies: 2-Digit Divisors Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Multi-step Problems with Larger Numbers Multiplication Strategies Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S3.2 - Field Day Activities Activity U4 S3.2 - Field Day Lunch and Cleanup Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.2 - Field Day Activities: Relay Race Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.2 - Field Day Activities: Kickball Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.2 - Field Day Activities: Tug of War Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S3.2 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.2 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S3.3 - Field Day Problems Math Workshop Revisit U4 S3.2 - Field Day Lunch and Cleanup Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Relay Race Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Kickball Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Tug of War Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.3 - Field Day Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.3 - Multiplying and Dividing Large Numbers Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S3.3 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.3 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Division Strategies: 2-Digit Divisors Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Multiplication Strategies Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. S3.4 - Field Day Problems, continued Math Workshop Revisit U4 S3.2 - Field Day Lunch and Cleanup Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Relay Race Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Kickball Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Tug of War Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.3 - Field Day Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.3 - Multiplying and Dividing Large Numbers Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S3.4 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U4 S3.4 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Division Strategies: 2-Digit Divisors Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S3.5 - Multiplication and Division with Larger Numbers Math Workshop Revisit U4 S3.2 - Field Day Lunch and Cleanup Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Relay Race Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Kickball Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.2 - Field Day Activities: Tug of War Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.3 - Field Day Problems Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Revisit U4 S3.3 - Multiplying and Dividing Large Numbers Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Assessment Activity U4 S3.5 - Assessment: Multiplying and Dividing Large Numbers Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Session Follow-Up U4 S3.5 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Unit 5 - Temperature, Height, and Growth Inv.1 - Graphing Temperature and Height S1.1 - Temperature Graphs Activity (1) U5 S1.1 - Temperatures in Two Cities Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Activity (2) U5 S1.1 - Temperatures in Two Cities Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Session Follow-Up U5 S1.1 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U5 S1.1 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U5 S1.1 - Family Letter Coordinate Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Tables and Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S1.2 - Temperature: Stories, Tables, and Graphs Activity (1) U5 S1.2 - High Temperatures in One Year in Honolulu Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S1.2 - High Temperatures in One Year in U.S. Cities Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Activity (2) U5 S1.2 - High Temperatures in One Year in U.S. Cities Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S1.2 - Daily Practice Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S1.2 - Homework Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S1.2 - Family Letter Coordinate Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S1.3 - Growth Stories Activity U5 S1.3 - Growth Stories: Tara and Nat Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S1.3 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U5 S1.3 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Tables and Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S1.4 - More Stories of Children’s Growth Activity (1) U5 S1.4 - Representing Growth Stories: Tony, Maya, and Susie Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S1.4 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Ordered Pairs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Tables and Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Telling Stories From Line Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S1.5 - A Growth Pattern That Follows a Rule Activity U5 S1.5 - Flickerbill’s Growth Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S1.5 - Daily Practice Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. U5 S1.5 - Homework Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Growing at a Constant Rate Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Tables and Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S1.6 - Comparing Animals’ Growth Activity U5 S1.6 - The Krink, the Trifoot, and the Water Weasel Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Assessment Activity U5 S1.6 - Assessment: Comparing Animals’ Growth Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S1.6 - Daily Practice Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Comparing Rates of Growth Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Growing at a Constant Rate Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Tables and Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S1.7 - Another Kind of Animal Activity U5 S1.7 - Fastwalker Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S1.7 - Daily Practice Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. U5 S1.7 - Homework Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Comparing Rates of Growth Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Growing at a Changing Rate Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Inv. 2 - Analyzing Geometric Patterns S2.1 - 3 Squares Across Activity (1) U5 S2.1 - 3 Squares Across: Area Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Activity (3) U5 S2.1 - 3 Squares Across: Perimeter Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Session Follow-Up U5 S2.1 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U5 S2.1 - Homework S2.2 - Double or Not? Activity Revisit U5 S2.1 - 3 Squares Across: Area Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Revisit U5 S2.1 - 3 Squares Across: Perimeter Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Session Follow-Up U5 S2.2 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Writing Rules to Describe Change Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. S2.3 - Comparing Arrays with 4, 5, and 6 Squares Across Activity (1) U5 S2.3 - _______ Squares Across: Area Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S2.3 - _______ Squares Across: Perimeter Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Activity (2) U5 S2.3 - _______ Squares Across: Area Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S2.3 - _______ Squares Across: Perimeter Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Activity (3) U5 S2.3 - _______ Squares Across: Area Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S2.3 - _______ Squares Across: Perimeter Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S2.3 - Daily Practice Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). U5 S2.3 - Homework Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Tables and Graphs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Writing Rules to Describe Change Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. S2.4 - 10 Squares Across Activity U5 S2.4 - 10 Squares Across: Area Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S2.4 - 10 Squares Across: Perimeter Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S2.4 - Daily Practice Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S2.4 - Homework Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Ordered Pairs Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S2.5 - Growing Squares Activity U5 S2.5 - Growing Squares Curriculum Standards: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Assessment Activity U5 S2.5 - Assessment: Quiz 1 Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2? as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S2.5 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U5 S2.5 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Growing at a Changing Rate Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S2.6 - Staircase Towers Activity U5 S2.6 - Staircase Towers: Jumps of 1 Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. U5 S2.6 - Staircase Towers: Jumps of 2 Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S2.6 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U5 S2.6 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Growing at a Changing Rate Curriculum Standards: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. S2.7 - Graphing and Analyzing Patterns Assessment Activity U5 S2.7 - Assessment: Graphing and Analyzing Numerical Patterns Curriculum Standards: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Session Follow-Up U5 S2.7 - Daily Practice Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Unit 6 - Between 0 and 1 Inv.1 - Representing and Comparing Decimals S1.1 - Decimals on Grids Activity (2) U6 S1.1 - Tenths and Hundredths Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Activity (3) U6 S1.1 - How Much of the Garden Is Planted? Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Session Follow-Up U6 S1.1 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). U6 S1.1 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). U6 S1.1 - Family Letter Decimals to Thousandths Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. S1.2 - Introducing Thousandths Activity (2) U6 S1.2 - Hundredths and Thousandths Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Activity (3) U6 S1.2 - Decimals on Hundredths and Thousandths Grids Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Session Follow-Up U6 S1.2 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Decimals to Thousandths Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Equivalent Decimals and Fractions Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Place Value: Decimals to Thousandths Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. S1.3 - Comparing Decimals Activity (2) U6 S1.3 - Comparing Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Session Follow-Up U6 S1.3 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U6 S1.3 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Comparing and Ordering Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. S1.4 - Decimals on the Number Line Discussion U6 S1.4 - Decimal Grids Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Activity (2) U6 S1.4 - Decimal Grids Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Activity (3) U6 S1.4 - Decimal Grids Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. U6 S1.4 - Ordering Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Session Follow-Up U6 S1.4 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U6 S1.4 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. U6 S1.4 - Family Letter Comparing and Ordering Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Equivalent Decimals and Fractions Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. S1.5 - Decimals In Between Session Follow-Up U6 S1.5 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. U6 S1.5 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. S1.6 - Rounding Decimals Activity U6 S1.6 - Rounding Decimals Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Use place value understanding to round decimals to any place. Session Follow-Up U6 S1.6 - Daily Practice Curriculum Standards: Use place value understanding to round decimals to any place. Rounding Decimals Curriculum Standards: Use place value understanding to round decimals to any place. S1.7 - Decimal Problems Math Workshop U6 S1.7 - Decimal Problems Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Game: Smaller to Larger Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Game: Decimals In Between Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Assessment Activity U6 S1.7 - Assessment: Quiz 1 Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Session Follow-Up U6 S1.7 - Daily Practice Curriculum Standards: Use place value understanding to round decimals to any place. U6 S1.7 - Homework Curriculum Standards: Use place value understanding to round decimals to any place. Comparing and Ordering Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. S1.8 - Ordering and Comparing Decimals Math Workshop Revisit U6 S1.7 - Decimal Problems Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Game: Smaller to Larger Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Game: Decimals In Between Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Assessment Activity U6 S1.8 - Assessment: Comparing and Ordering Decimals Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Session Follow-Up U6 S1.8 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. U6 S1.8 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Inv. 2 - Adding and Subtracting Decimals S2.1 - Fill Two Activity (2) Game: Fill Two Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.1 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U6 S2.1 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Adding Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S2.2 - The Jeweler’s Gold Activity U6 S2.2 - The Jeweler’s Gold Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.2 - Daily Practice U6 S2.2 - Homework Adding Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S2.3 - Strategies for Adding Decimals Activity U6 S2.3 - Adding Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.3 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. S2.4 - Subtracting Decimals Activity (2) U6 S2.4 - Subtraction Problems with Decimals Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.4 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U6 S2.4 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Subtracting Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S2.5 - Decimal Problems Activity (1) U6 S2.5 - Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.5 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U6 S2.5 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Adding Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Comparing and Ordering Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Subtracting Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S2.6 - Addition and Subtraction of Decimals Math Workshop U6 S2.6 - More Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Revisit U6 S2.5 - Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Close to 1 Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Decimal Double Compare Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.6 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U6 S2.6 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Subtracting Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S2.7 - Decimal Games Math Workshop Revisit U6 S2.6 - More Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Revisit U6 S2.5 - Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Close to 1 Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Decimal Double Compare Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Decimal Subtraction Compare Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Assessment Activity U6 S2.7 - Assessment: Quiz 2 Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.7 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U6 S2.7 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S2.8 - Adding and Subtracting Decimals Math Workshop Revisit U6 S2.6 - More Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Revisit U6 S2.5 - Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Close to 1 Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Decimal Double Compare Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Decimal Subtraction Compare Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.8 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). U6 S2.8 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). S2.9 - Working with Decimals Math Workshop Revisit U6 S2.6 - More Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Revisit U6 S2.5 - Decimal Problems Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Close to 1 Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Decimal Double Compare Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Game: Decimal Subtraction Compare Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Assessment Activity U6 S2.9 - Assessment: Addition, Subtraction and Place Value of Decimals Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U6 S2.9 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Unit 7 - Races, Arrays, and Grids Inv.1 - Multiplying and Dividing Fractions S1.1 - Multiplying a Fraction by a Whole Number Activity U7 S1.1 - Running and Biking Distances Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Session Follow-Up U7 S1.1 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S1.1 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S1.1 - Family Letter Multiplying Fractions by Whole Numbers S1.2 - Multiplying a Whole Number by a Fraction Activity U7 S1.2 - Big Bicycle Race Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Session Follow-Up U7 S1.2 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. U7 S1.2 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Multiplying Whole Numbers, Fractions, and Mixed Numbers Curriculum Standards: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. S1.3 - Multiplying Whole Numbers by Fractions and Mixed Numbers Activity U7 S1.3 - Bicycle Race Training Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Interpret multiplication as scaling (resizing), by: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n x a) /(n x b) to the effect of multiplying a/b by 1. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Session Follow-Up U7 S1.3 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. U7 S1.3 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. U7 S1.3 - Family Letter Multiplying Whole Numbers, Fractions, and Mixed Numbers Curriculum Standards: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. S1.4 - Multiplying Fractions or Mixed Numbers Math Workshop Revisit U7 S1.3 - Bicycle Race Training Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Interpret multiplication as scaling (resizing), by: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n x a) /(n x b) to the effect of multiplying a/b by 1. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. U7 S1.4 - Cycling and Running Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Interpret multiplication as scaling (resizing), by: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n x a) /(n x b) to the effect of multiplying a/b by 1. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Session Follow-Up U7 S1.4 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. U7 S1.4 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Multiplying Whole Numbers, Fractions, and Mixed Numbers Curriculum Standards: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. S1.5 - Multiplying Fractions by Fractions Activity U7 S1.5 - Fractions of Fractions Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Interpret multiplication as scaling (resizing), by: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n x a) /(n x b) to the effect of multiplying a/b by 1. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Session Follow-Up U7 S1.5 - Daily Practice Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) U7 S1.5 - Homework Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Multiplying a Fraction by a Fraction Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. S1.6 - Rules for Multiplying Fractions Activity U7 S1.6 - Multiplying Fractions Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Session Follow-Up U7 S1.6 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S1.6 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S1.7 - Using Arrays for Multiplying Fractions Activity U7 S1.7 - Using Arrays to Multiply Fractions Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Session Follow-Up U7 S1.7 - Daily Practice Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. U7 S1.7 - Homework Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Multiplying a Fraction by a Fraction Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. S1.8 - Multiplying Fractions and Multiplying Mixed Numbers Activity U7 S1.8 - Multiplying Fractions and Mixed Numbers Practice Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Assessment Activity U7 S1.8 - Assessment: Multiplication with Fractions, Mixed Numbers, and Whole Numbers Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Session Follow-Up U7 S1.8 - Daily Practice Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. S1.9 - Dividing a Whole Number by a Fraction Activity U7 S1.9 - Dividing a Whole Number by a Fraction Curriculum Standards: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Session Follow-Up U7 S1.9 - Daily Practice Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). U7 S1.9 - Homework Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Dividing a Whole Number by a Unit Fraction Curriculum Standards: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? S1.10 - Dividing a Fraction by a Whole Number Activity U7 S1.10 - Dividing a Fraction by a Whole Number Curriculum Standards: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Assessment Activity U7 S1.10 - Assessment: Quiz 1 Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Session Follow-Up U7 S1.10 - Daily Practice Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. U7 S1.10 - Homework Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Dividing a Fraction by a Whole Number Curriculum Standards: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? S1.11 - Dividing with Fractions Activity U7 S1.11 - Dividing with Fractions Curriculum Standards: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Assessment Activity U7 S1.11 - Assessment: Dividing with Fractions Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Session Follow-Up U7 S1.11 - Daily Practice Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. U7 S1.11 - Homework Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Inv. 2 - Fractions as Division S2.1 - Brownie Problems Activity U7 S2.1 - Brownie Problems Curriculum Standards: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? Session Follow-Up U7 S2.1 - Daily Practice Curriculum Standards: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. U7 S2.1 - Homework Curriculum Standards: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. Fractions as Division Curriculum Standards: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? S2.2 - Fractions as Division Activity U7 S2.2 - Win/Loss Records Curriculum Standards: Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? Session Follow-Up U7 S2.2 - Daily Practice Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U7 S2.2 - Homework Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Finding Decimals Equivalent to Fractions Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. S2.3 - Decimal Equivalents Activity (1) U7 S2.3 - Fraction-to-Decimal Division Table Curriculum Standards: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? Activity (2) U7 S2.3 - Fraction-to-Decimal Division Table Curriculum Standards: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? Session Follow-Up U7 S2.3 - Daily Practice Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. U7 S2.3 - Homework Curriculum Standards: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Finding Decimals Equivalent to Fractions Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and <, symbols to record the results of comparisons. S2.4 - Fraction-Decimal Equivalents Math Workshop Revisit U7 S2.3 - Fraction-to-Decimal Division Table Curriculum Standards: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? U7 S2.4 - Division Problems Curriculum Standards: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? Assessment Activity U7 S2.4 - Assessment: Quiz 2 Curriculum Standards: Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie? Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. Session Follow-Up U7 S2.4 - Daily Practice Curriculum Standards: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ 1/5 , and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 x (1/5) = 4. Inv. 3 - Multiplying and Dividing Decimals S3.1 - Multiplying Powers of 10 Activity (2) U7 S3.1 - Multiplying by Powers of 10 Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U7 S3.1 - Daily Practice Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. U7 S3.1 - Homework Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Multiplying by Powers of 10 Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. S3.2 - Multiplying by “Small” Numbers Activity (2) U7 S3.2 - Multiplying Decimals Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U7 S3.2 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S3.2 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Multiplying by Powers of 10 Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Multiplying Decimals Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S3.3 - Strategies for Multiplying Decimals Activity (1) U7 S3.3 - Buying School Supplies Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Activity (2) U7 S3.3 - A Strategy for Multiplying Decimals Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U7 S3.3 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S3.3 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Multiplying Decimals Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S3.4 - Multiplying Decimals Activity U7 S3.4 - Animal Speeds Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U7 S3.4 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S3.4 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S3.5 - Multiplying Decimals, continued Activity U7 S3.5 - Animal Speeds and Jumps Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Assessment Activity U7 S3.5 - Assessment: Multiplying Decimals Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). Use place value understanding to round decimals to any place. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U7 S3.5 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Multiplying Decimals Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S3.6 - Dividing Powers of 10 Activity U7 S3.6 - Dividing by Powers of 10 Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U7 S3.6 - Daily Practice Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S3.6 - Homework Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Dividing by Powers of 10 Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. S3.7 - Dividing Decimals Activity (2) U7 S3.7 - Dividing Decimals Curriculum Standards: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Session Follow-Up U7 S3.7 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S3.7 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Dividing Decimals Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S3.8 - Converting Metric Measurements Activity U7 S3.8 - Converting Length, Mass, and Capacity (Metric) Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Session Follow-Up U7 S3.8 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S3.8 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Converting Metric Measurements Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. S3.9 - Converting U.S. Measurements of Length and Weight Math Workshop U7 S3.9 - Converting Length and Weight (US) Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. U7 S3.9 - Rhomaar Animal Jumps Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Session Follow-Up U7 S3.9 - Daily Practice Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. U7 S3.9 - Homework Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Converting U.S. Measurements Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Dividing Decimals Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. S3.10 - Converting Measurements and Dividing Decimals Math Workshop U7 S3.10 - Converting Capacity (US) Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Revisit U7 S3.9 - Rhomaar Animal Jumps Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. U7 S3.10 - Converting Measurements Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Assessment Activity U7 S3.10 - Assessment: Quiz 3 Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Session Follow-Up U7 S3.10 - Daily Practice Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. U7 S3.10 - Homework Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Converting Metric Measurements Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Converting U.S. Measurements Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. S3.11 - Converting Measurements and Dividing Decimals, continued Assessment Activity U7 S3.11 - Assessment: Dividing Decimals Curriculum Standards: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Math Workshop Revisit U7 S3.10 - Converting Capacity (US) Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Revisit U7 S3.10 - Converting Measurements Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins? Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Session Follow-Up U7 S3.11 - Daily Practice Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Unit 8 - Properties of Polygons Inv.1 - Categories and Properties of Polygons S1.1 - Triangles Activity (1) U8 S1.1 - Triangles: Two the Same, One Different Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Session Follow-Up U8 S1.1 - Daily Practice Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. U8 S1.1 - Homework Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. U8 S1.1 - Family Letter Properties of Triangles Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. S1.2 - Quadrilaterals Activity (1) U8 S1.2 - Quadrilaterals: Two the Same, One Different Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Activity (3) U8 S1.2 - Types of Quadrilaterals Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Session Follow-Up U8 S1.2 - Daily Practice Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. U8 S1.2 - Family Letter Properties of Quadrilaterals Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. S1.3 - Properties of Quadrilaterals Math Workshop U8 S1.3 - Some Figures Have Many Names Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Game: Guess My Rule Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Session Follow-Up U8 S1.3 - Daily Practice Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. U8 S1.3 - Homework Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Properties of Quadrilaterals Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. S1.4 - Relationships among Polygons Math Workshop U8 S1.4 - Representation of Relationships Among Quadrilaterals Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. U8 S1.4 - Categories of Triangles Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Game: Guess My Rule Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Assessment Activity U8 S1.4 - Assessment: Quiz 1 Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Session Follow-Up U8 S1.4 - Daily Practice Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) U8 S1.4 - Homework Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Properties of Quadrilaterals Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Properties of Triangles Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. S1.5 - Categories of Polygons Math Workshop Revisit U8 S1.4 - Representation of Relationships Among Quadrilaterals Revisit U8 S1.4 - Categories of Triangles Game: Guess My Rule Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Assessment Activity U8 S1.5 - Assessment: Naming Quadrilaterals Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Session Follow-Up U8 S1.5 - Daily Practice Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. U8 S1.5 - Homework Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. Inv. 2 - Finding Perimeter and Area of Related Rectangles S2.1 - A Sequence of Squares Activity U8 S2.1 - Building a Sequence of Squares Curriculum Standards: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Session Follow-Up U8 S2.1 - Daily Practice Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. U8 S2.1 - Homework Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Perimeter or Area? S2.2 - Doubling Dimensions of Squares Activity U8 S2.2 - Doubling Squares Curriculum Standards: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Session Follow-Up U8 S2.2 - Daily Practice Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. U8 S2.2 - Homework Curriculum Standards: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles. Classify two-dimensional figures in a hierarchy based on properties. S2.3 - Building a Sequence of Rectangles Activity (1) U8 S2.3 - A Sequence of Rectangles Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U8 S2.3 - Daily Practice Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. U8 S2.3 - Homework Curriculum Standards: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Growing Rectangles Curriculum Standards: Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Interpret multiplication as scaling (resizing), by: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n x a) /(n x b) to the effect of multiplying a/b by 1. S2.4 - Rearranging Rectangles Math Workshop U8 S2.4 - Rearranging a 16 x 12 Rectangle Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) U8 S2.4 - Fencing a Garden Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U8 S2.4 - Daily Practice Curriculum Standards: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) U8 S2.4 - Homework Curriculum Standards: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Same Area, Different Perimeter Same Perimeter, Different Area S2.5 - Perimeter and Area of Rectangles Math Workshop Revisit U8 S2.4 - Rearranging a 16 x 12 Rectangle Revisit U8 S2.4 - Fencing a Garden Assessment Activity U8 S2.5 - Assessment: Perimeter and Area of Related Rectangles Curriculum Standards: Fluently multiply multi-digit whole numbers using the standard algorithm. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3? and the starting number 0, and given the rule "Add 6? and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12 . (In general, a/b + c/d = (ad + bc/bd.) Session Follow-Up U8 S2.5 - Daily Practice Curriculum Standards: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3 , and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) Teacher Resources Container Teacher Resources Intended Role: Instructor Read Me First: Availability Information Intended Role: Instructor Teacher Resources Intended Role: Instructor Unit 1 - Online Curriculum Unit Intended Role: Instructor Student Voice Intended Role: Instructor U1 S1.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Activity (2) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U1 S1.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U1 S1.2 - Teacher Presentation: Number Puzzles: 2 Clues Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Properties of Numbers Intended Role: Instructor Student Voice Intended Role: Instructor U1 S1.3 - 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Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Activity (2) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U2 S2.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Activity (3) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U2 S2.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U2 S2.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A18, Assessment Checklist Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S14, Growing Boxes Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Unit 3 - Online Curriculum Unit Intended Role: Instructor Student Voice Intended Role: Instructor U3 S1.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S1.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U3 S1.2 - Teacher Presentation: Representing Fractions on Rectangles Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Activity (2) Intended Role: Instructor Student Voice Intended Role: Instructor A19, Assessment Checklist Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S1.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A19, Assessment Checklist Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Activity Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S1.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S1.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S16, Finding Equal Amounts Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S1.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.1 - Teacher Presentation: Clock Fractions Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.1 - Teacher Presentation: Adding Clock Fractions Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor A20, Assessment Checklist: MP3 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor A20, Assessment Checklist: MP3 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_3 Intended Role: Instructor S20, Fraction Addition Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Activity (2) Intended Role: Instructor Activity (3) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S2.7 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S3.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S3.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion (1) Intended Role: Instructor Student Voice Intended Role: Instructor A23, Assessment Checklist: MP8 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Discussion (3) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S3.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor A23, Assessment Checklist: MP8 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_3 Intended Role: Instructor S24, Addition Compare with 3 Fractions Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S3.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S3.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S22, Practice Adding and Subtracting Mixed Numbers Intended Role: Instructor T32, 4 × 6 Rectangles Intended Role: Instructor T33, 5 × 12 Rectangles Intended Role: Instructor T36, Clocks Intended Role: Instructor S23, Story Problems with Mixed Numbers Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U3 S3.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Unit 4 - Online Curriculum Unit Intended Role: Instructor Student Voice Intended Role: Instructor U4 S1.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S26, Practicing Multiplication Strategies Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S1.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S25, Practicing Multiplication Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S1.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S1.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S1.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S2.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S2.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S2.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S27, Practicing Division Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S2.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A31, Assessment Checklist: MP6 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S28, Equivalence in Division Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S2.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A31, Assessment Checklist: MP6 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S2.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S2.7 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S3.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U4 S3.1 - Teacher Presentation: Field Day Refreshments Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S29, Field Day: Third to Fifth Grades Intended Role: Instructor Student Voice_3 Intended Role: Instructor S30, School Supplies Intended Role: Instructor S32, Finding the Best Buy Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S3.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S29, Field Day: Third to Fifth Grades Intended Role: Instructor Student Voice_2 Intended Role: Instructor S31, Multi-Step Problems Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S3.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A35, Assessment Checklist: MP2 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S29, Field Day: Third to Fifth Grades Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S3.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A35, Assessment Checklist: MP2 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S29, Field Day: Third to Fifth Grades Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U4 S3.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S29, Field Day: Third to Fifth Grades Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Unit 5 - Online Curriculum Unit Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T43, Temperatures in Two Cities Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.2 - Teacher Presentation: Introducing Temperature Stories Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor A37, Assessment Checklist: MP4 and MP5 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T47, Temperature Grid Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.3 - Teacher Presentation: Growth Stories: Tara and Nat Intended Role: Instructor Student Voice_1 Intended Role: Instructor A37, Assessment Checklist: MP4 and MP5 Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_3 Intended Role: Instructor T48, Table: Tara and Nat Intended Role: Instructor T49, Graphs: Tara and Nat Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T50, Table: Tony, Maya, and Susie Intended Role: Instructor T51, Graphs: Tony, Maya, and Susie Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.5 - Teacher Presentation: Animals’ Growth Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S33, Growth Table and Graph Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor S34, Tables and Graphs Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S1.7 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Discussion (3) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice Intended Role: Instructor U5 S2.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice_2 Intended Role: Instructor S36, Tile Rectangles Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S2.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S2.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor S35, Comparing Rectangles with 4, 5, and 6 Squares Across: Small-Group Questions Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S2.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion (1) Intended Role: Instructor Student Voice Intended Role: Instructor U5 S2.4 - Teacher Presentation: 10 Squares Across Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T59, Area Graphs Intended Role: Instructor T61, Perimeter Graphs Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Discussion (3) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S2.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor S37, Showing Costs in Tables and Graphs Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S2.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U5 S2.7 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Unit 6 - Online Curriculum Unit Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.4 - Teacher Presentation: Introducing Decimals on a Number Line Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor C16, Decimal Cards, Set A Intended Role: Instructor C17, Decimal Cards, Set B Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor Student Voice_2 Intended Role: Instructor S38, Decimals on a Number Line Intended Role: Instructor T71, Thousandths Grids Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion (1) Intended Role: Instructor Activity Intended Role: Instructor Discussion (3) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.6 - Teacher Presentation: Rounding Decimals Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor T71, Thousandths Grids Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.7 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor A44, Assessment Checklist: MP7 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_3 Intended Role: Instructor S39, Smaller to Larger with Ten Thousandths Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S1.8 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A44, Assessment Checklist: MP7 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor T71, Thousandths Grids Intended Role: Instructor C16, Decimal Cards, Set A Intended Role: Instructor C17, Decimal Cards, Set B Intended Role: Instructor G17, Fill Two Directions Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.3 - Teacher Presentation: Adding Decimals Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor C16, Decimal Cards, Set A Intended Role: Instructor C17, Decimal Cards, Set B Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor T71, Thousandths Grids Intended Role: Instructor Student Voice_3 Intended Role: Instructor S40, Adding Decimals on Grids Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor Student Voice_2 Intended Role: Instructor S41, Decimal Subtraction Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor T71, Thousandths Grids Intended Role: Instructor Activity (3) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor A48, Assessment Checklist: MP6 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.7 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity Intended Role: Instructor Student Voice Intended Role: Instructor A48, Assessment Checklist: MP6 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.8 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U6 S2.9 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Unit 7 - Online Curriculum Unit Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.1 - Teacher Presentation: Running and Biking Distances Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.2 - Teacher Presentation: The Big Bicycle Race Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T72, Fraction Bars Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor A52, Assessment Checklist Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T72, Fraction Bars Intended Role: Instructor S42, Whole Number and Fraction Problems Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A52, Assessment Checklist Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.5 - Teacher Presentation: Shading Fraction Bars Intended Role: Instructor Student Voice_1 Intended Role: Instructor A52, Assessment Checklist Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T72, Fraction Bars Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.7 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.7 - Teacher Presentation: Using Arrays to Multiply Fractions Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S43, Multiplying Fractions with Arrays Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.8 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S44, Multiplying Two Mixed Numbers Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.9 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.10 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S1.11 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S2.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S2.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor U7 S2.2 - Teacher Presentation: Win/Loss Records Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor Student Voice_3 Intended Role: Instructor S45, Who Is Winning? Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S2.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor A57, Assessment Checklist: MP8 Intended Role: Instructor Student Voice Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S2.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A57, Assessment Checklist: MP8 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S46, Repeating Decimals Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor A60, Assessment Checklist Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor A60, Assessment Checklist Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor A61, Assessment Checklist: MP1 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S48, Multiplying Decimals Resulting in Thousandths Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor A61, Assessment Checklist: MP1 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.6 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.6 - Teacher Presentation: Dividing by Powers of 10 Intended Role: Instructor Student Voice_1 Intended Role: Instructor A60, Assessment Checklist Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_3 Intended Role: Instructor T68, Hundredths Grids Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.7 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Student Voice Intended Role: Instructor A60, Assessment Checklist Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.8 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.9 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor S47, Converting Measurements of Length and Weight Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.10 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T80, Measurement Equivalents Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U7 S3.11 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Unit 8 - Online Curriculum Unit Intended Role: Instructor Student Voice Intended Role: Instructor U8 S1.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U8 S1.1 - Teacher Presentation: Triangles: Two the Same, One Different Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor C18–C19, Shape Cards Intended Role: Instructor Activity (3) Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S1.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor U8 S1.2 - Teacher Presentation: Quadrilaterals: Two the Same, One Different Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor C18–C19, Shape Cards Intended Role: Instructor Discussion Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor C18–C19, Shape Cards Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S1.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S1.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S49, Polygon Puzzles Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S1.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S2.1 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S2.2 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S2.3 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S2.4 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Activity (1) Intended Role: Instructor Activity (2) Intended Role: Instructor Student Voice Intended Role: Instructor A68, Assessment Checklist: MP2 and MP3 Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_2 Intended Role: Instructor S50, Making Rectangles Intended Role: Instructor S51, Area and Perimeter Problems Intended Role: Instructor S52, Cutting Up Rectangles Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor U8 S2.5 - Online Curriculum Unit Intended Role: Instructor Ten-Minute Math Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Student Voice_1 Intended Role: Instructor T13, One-Centimeter Grid Paper Intended Role: Instructor Student Voice Intended Role: Instructor Teacher Resources Intended Role: Instructor Grade 5 Professional Development Videos—Coming in 2017 Intended Role: Instructor Pearson-Created Assessments Intended Role: Instructor eText Container Curriculum Units: Grade 5 Student Activity Book: Grade 5