# Curriculum for Grade 3

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### MODULE 1. Properties of Multiplication and Division and Solving Problems with Units of 2-5 and 10

Students build upon their knowledge of addition to identify factors (how many groups, how many objects in each group) and to compose and solve simple multiplication equations. They work with groups of 2-5 identical objects, beginning with models of identical concrete objects, such as bunches of bananas and fingers on a hand. As students progress, they work with more abstract objects (identical beads) and objects in an array.

A. Compose and solve a repeated addition equation based on a modelB. Compose a repeated addition equation based on a model and identify the number of "groups”C. Compose and solve a multiplication equation based on a model, a repeated addition equation, and the number of "groups”D. Compose and solve a multiplication equation based on a model and a repeated addition equationE. Arrange groups of objects into an array and determine the totalF. Compose and solve a multiplication equation based on a model of objects in an array

Students continue to work with concrete and more abstract objects to build models of division. They use the "dealing” method to create a given number of equal groups and also create groups of a given size. Based on these models, they answer the questions, "How many groups?” and "How many in each group?” They compose and solve division equations and determine the missing factor in multiplication problems.

A. Divide a set of objects into a given number of equal groups and identify the number of objects in each groupB. Compose and solve a division equation based on a model (Part 1)C. Divide a set of objects into equal groups of a given size and identify the number of groupsD. Compose and solve a division equation based on a model (Part 2)E. Arrange a group of objects into an array and compose a division equation based on the modelF. Determine the missing factor in a multiplication equation based on a modelG. Solve a missing factor multiplication equation based on a modelH. Solve a missing factor multiplication equation and a related division equation based on a model

A. Skip count by 2 (Level 1)B. Skip count by 3 (Level 1)C. Multiply by 2 with and without an array model (Level 1)D. Multiply by 3 with and without an array model (Level 1)E. Multiply by 2 to complete a pattern of equations (Level 1)F. Multiply by 3 to complete a pattern of equations (Level 1)G. Label arrays with equations to show the commutative property of multiplication by 2H. Label arrays with equations to show the commutative property of multiplication by 3I. Complete equations to show the commutative property of multiplication by 2 (Level 1)J. Complete equations to show the commutative property of multiplication by 3 (Level 1)K. Solve x2 multiplication equations (Level 1, Part 1)L. Solve x3 multiplication equations (Level 1, Part 1)M. Solve x2 multiplication equations (Level 1, Part 2)N. Solve x3 multiplication equations (Level 1, Part 2)O. Skip count by 2 (Level 2)P. Skip count by 3 (Level 2)Q. Multiply by 2 with and without an array model (Level 2)R. Multiply by 3 with and without an array model (Level 2)S. Multiply by 2 to complete a pattern of equations (Level 2)T. Multiply by 3 to complete a pattern of equations (Level 2)U. Complete equations to show the commutative property of multiplication by 2 (Level 2)V. Complete equations to show the commutative property of multiplication by 3 (Level 2)W. Label arrays with equations to show the distributive property of multiplication by 2 (Part 1)X. Label arrays with equations to show the distributive property of multiplication by 3 (Part 1)Y. Label arrays with equations to show the distributive property of multiplication by 2 (Part 2)Z. Label arrays with equations to show the distributive property of multiplication by 3 (Part 2)AA. Solve x2 multiplication equations (Level 2, Part 1)AB. Solve x3 multiplication equations (Level 2, Part 1)AC. Solve x2 multiplication equations (Level 2, Part 2)AD. Solve x3 multiplication equations (Level 2, Part 2)