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Module 1: Multiplication and Division with Units of 2, 3, 4, 5, and 10 |
Lesson 1: Organize, count, and represent a collection of objects. |
Lesson 2: Interpret equal groups as multiplication. |
Lesson 3: Relate multiplication to the array model. |
Lesson 4: Interpret the meaning of factors as number of groups or number in each group. |
Lesson 5: Represent and solve multiplication word problems by using drawings and equations. |
Lesson 6: Explore measurement and partitive division by modeling concretely and drawing. |
Lesson 7: Model measurement and partitive division by drawing equal groups. |
Lesson 8: Model measurement and partitive division by drawing arrays. |
Lesson 9: Represent and solve division word problems using drawings and equations. |
Lesson 10: Demonstrate the commutative property of multiplication using a unit of 2 and the array model. |
Lesson 11: Demonstrate the commutative property of multiplication using a unit of 4 and the array model. |
Lesson 12: Demonstrate the distributive property using a unit of 4. |
Lesson 13: Demonstrate the commutative property of multiplication using a unit of 3 and the array model. |
Lesson 14: Demonstrate the distributive property using units of 2, 3, 4, 5, and 10. |
Lesson 15: Model division as an unknown factor problem. |
Lesson 16: Model the quotient as the number of groups using units of 2, 3, 4, 5, and 10. |
Lesson 17: Model the quotient as the size of each group using units of 2, 3, 4, 5, and 10. |
Lesson 18: Represent and solve measurement and partitive division word problems. |
Lesson 19: Use the distributive property to break apart multiplication problems into known facts. |
Lesson 20: Use the distributive property to break apart division problems into known facts. |
Lesson 21: Compose and decompose arrays to create expressions with three factors. |
Lesson 22: Represent and solve two-step word problems using the properties of multiplication. |
Lesson 23: Represent and solve two-step word problems using drawings and equations. |
Module 2: Place Value Concepts Through Metric Measurement |
Lesson 1: Connect the composition of 1 kilogram to the composition of 1 thousand. |
Lesson 2: Estimate the weight of familiar objects and read scales when weighing objects. |
Lesson 3: Use all four operations to solve one-step word problems involving weight. |
Lesson 4: Connect decomposition of 1 liter to the decomposition of 1 thousand. |
Lesson 5: Estimate and measure liquid volume using a vertical number line and connect composition of 1 liter to composition of 1 thousand. |
Lesson 6: Use all four operations to solve one-step word problems involving liquid volume. |
Lesson 7: Solve one-step word problems using metric units. |
Lesson 8: Read temperatures on a thermometer using number line concepts. |
Lesson 9: Round two-digit numbers to the nearest ten on the vertical number line. |
Lesson 10: Round two- and three-digit numbers to the nearest ten on the vertical number line. |
Lesson 11: Round to the nearest hundred on the vertical number line. |
Lesson 12: Estimate sums and differences by rounding. |
Lesson 13: Collect and represent data in a scaled bar graph and solve related problems. |
Lesson 14: Use place value understanding to add and subtract like units. |
Lesson 15: Use the associative property to make the next ten to add. |
Lesson 16: Use compensation to add. |
Lesson 17: Use place value understanding to subtract efficiently using take from a ten. |
Lesson 18: Use place value understanding to subtract efficiently using take from a hundred. |
Lesson 19: Use compensation to subtract. |
Lesson 20: Add measurements using the standard algorithm to compose larger units once. |
Lesson 21: Add measurements using the standard algorithm to compose larger units twice. |
Lesson 22: Subtract measurements using the standard algorithm to decompose larger units once. |
Lesson 23: Subtract measurements using the standard algorithm to decompose larger units twice. |
Lesson 24: Subtract measurements using the standard algorithm to decompose larger units across two place values. |
Lesson 25: Solve two-step word problems. |
Module 3: Multiplication and Division with Units of 0, 1, 6, 7, 8, and 9 |
Lesson 1: Organize, count, and represent a collection of objects. |
Lesson 2: Count by units of 6 to multiply and divide by using arrays. |
Lesson 3: Count by units of 8 to multiply and divide by using arrays. |
Lesson 4: Decompose pictorial arrays to create expressions with three factors. |
Lesson 5: Use the break apart and distribute strategy to multiply with units of 6 and 8. |
Lesson 6: Use the break apart and distribute strategy to divide with units of 6 and 8. |
Lesson 7: Count by units of 7 to multiply and divide by using arrays and tape diagrams. |
Lesson 8: Use the break apart and distribute strategy to multiply with units of 7. |
Lesson 9: Model the associative property as a strategy to multiply. |
Lesson 10: Use parentheses in expressions with different operations. |
Lesson 11: Use the break apart and distribute strategy to divide with units of 7. |
Lesson 12: Solve one-step word problems involving multiplication and division. |
Lesson 13: Count by units of 9 to multiply. |
Lesson 14: Apply strategies and identify patterns to multiply with units of 9. |
Lesson 15: Reason about and explain patterns of multiplication and division with units of 1 and 0. |
Lesson 16: Identify patterns by using the multiplication table. |
Lesson 17: Identify and complete patterns with input–output tables. |
Lesson 18: Create multiplication and division word problems. |
Lesson 19: Solve two-step word problems by using the four operations and assess the reasonableness of solutions. |
Lesson 20: Multiply by multiples of 10 by using the place value chart. |
Lesson 21: Multiply by multiples of 10 by using place value strategies and the associative property. |
Lesson 22: Solve two-step word problems involving multiplication of single-digit factors and multiples of 10. |
Lesson 23: Identify patterns and apply strategies to multiply with units of 11 and 12. (Optional) |
Lesson 24: Organize, count, and represent a collection of objects. |
Lesson 25: Apply multiplication and division concepts to complete a multi-part task. (Optional) |
Module 4: Multiplication and Area |
Lesson 2: Recognize area as an attribute of polygons. |
Lesson 3: Tile polygons to find their areas. |
Lesson 4: Compose rectangles to compare areas. |
Lesson 5: Relate side lengths to the number of tiles on a side. |
Lesson 6: Tile rectangles with squares to make arrays and relate the side lengths to area. |
Lesson 7: Draw rows and columns to complete a rectangular array and determine its area. |
Lesson 8: Determine the area of a rectangle by using side lengths. |
Lesson 9: Multiply side lengths to find the area of a rectangle. |
Lesson 10: Compose large rectangles and reason about their areas. |
Lesson 11: Decompose to find the total area of a rectangle. |
Lesson 12: Find all possible side lengths of rectangles with a given area. |
Lesson 13: Apply area understanding to real-world situations. |
Lesson 14: Reason to find the area of composite shapes by using grids. |
Lesson 15: Reason to find the area of composite shapes by using rectangles. |
Lesson 16: Solve historical math problems involving area. |
Lesson 17: Apply area concepts to a real-world context. |
Lesson 18: Find the area of shapes and represent area data on a line plot. |
Lesson 19: Apply area concepts to complete a multi-part task. |
Module 5: Fractions as Numbers |
Lesson 1: Partition a whole into equal parts and name the fractional unit. |
Lesson 2: Partition different wholes into fractional units concretely. |
Lesson 3: Partition a whole into fractional units by folding fraction strips. |
Lesson 4: Partition a whole into fractional units pictorially and identify the unit fraction. |
Lesson 5: Partition a whole into fractional units and write fractions in fraction form. |
Lesson 6: Build non-unit fractions less than 1 from unit fractions concretely. |
Lesson 7: Identify and represent a whole as two parts: a unit fraction and a non-unit fraction. |
Lesson 8: Identify and represent a whole as two non-unit fractions. |
Lesson 9: Compare unit fractions by reasoning about their size concretely. |
Lesson 10: Compare non-unit fractions less than 1 with the same numerator by using tape diagrams. |
Lesson 11: Locate fractions from 0 to 1 on a number line by using fraction tiles. |
Lesson 12: Represent fractions from 0 to 1 on a number line. |
Lesson 13: Identify equivalent fractions from 0 to 1 with tape diagrams and on number lines. |
Lesson 14: Recognize that equivalent fractions share the same location on a number line. |
Lesson 15: Identify fractions on a ruler as numbers on a number line. |
Lesson 16: Measure lengths and record data on a line plot. |
Lesson 17: Represent fractions greater than 1 on a number line and identify fractions equivalent to whole numbers. |
Lesson 18: Compare fractions with like units by using a number line. |
Lesson 19: Compare fractions with unlike units but the same numerator by using number lines. |
Lesson 20: Compare fractions with related units by using a number line. |
Lesson 21: Compare various fractions by representing them on number lines. |
Lesson 22: Identify fractions equivalent to whole numbers by using number lines. |
Lesson 23: Reason to find fractions equivalent to whole numbers by using patterns and number lines. |
Lesson 24: Generate equivalent fractions greater than 1 by using a number line. |
Lesson 25: Express whole numbers as fractions with a denominator of 1. |
Lesson 26: Create a ruler with 1-inch, half-inch, and quarter-inch intervals. |
Lesson 27: Apply fraction concepts to complete a multi-part task. (Optional) |
Module 6: Geometry, Measurement, and Data |
Lesson 1: Relate skip-counting by fives on the clock to telling time on the number line. |
Lesson 2: Count by fives and ones on the number line as a strategy for telling time to the nearest minute on the clock. |
Lesson 3: Solve time word problems where the end time is unknown. |
Lesson 4: Solve time word problems where the start time is unknown. |
Lesson 5: Solve time word problems where the change in time is unknown. |
Lesson 6: Solve time word problems and use time data to create a line plot. |
Lesson 7: Count coins and create money word problems. (Optional) |
Lesson 8: Compare and classify quadrilaterals. |
Lesson 9: Compare and classify other polygons. |
Lesson 10: Draw polygons with specified attributes. |
Lesson 11: Reason about composing polygons by using tetrominoes. |
Lesson 12: Reason about composing polygons by using tangrams. |
Lesson 13: Decompose quadrilaterals to understand perimeter as the boundary of a shape. |
Lesson 14: Measure side lengths in whole-number units to determine the perimeters of polygons. |
Lesson 15: Recognize perimeter as an attribute of shapes and solve problems with unknown measurements. |
Lesson 16: Solve problems to determine the perimeters of rectangles with the same area. |
Lesson 17: Solve problems to determine the areas of rectangles with the same perimeter. |
Lesson 18: Solve real-world problems involving perimeter and unknown measurements by using all four operations. |
Lesson 19: Measure the perimeter of various circles to the nearest quarter inch by using string. |
Lesson 20: Record measurement data in a line plot. |
Lesson 21: Create and analyze a line plot for measurement data to the nearest half unit and quarter unit. |
Lesson 22: Generate categorical data and represent it by using a scaled picture graph. |
Lesson 23: Solve problems by creating scaled picture graphs and scaled bar graphs. |
Lesson 24: Organize, count, and represent a collection of objects. |
Lesson 25: Name and count numbers greater than 1,000. (Optional) |
Lesson 26: Fluently multiply and divide within 100 and add and subtract within 1,000. |