# Model Commutative Property using Arrays

Examples, solutions, and videos to help Grade 3 students learn how to relate arrays to tape diagrams to model the commutative property of multiplication.

Common Core Standards: 3.OA.5, 3.OA.7, 3.OA.1, 3.OA.2, 3.OA.3, 3.OA.4, 3.OA.6

### New York State Common Core Math Grade 3, Module 1, Lesson 15

Lesson 15 Concept Development
Pictorial: Relate arrays with tape diagrams.
2 × 4 = 4 × 2

Pictorial - Abstract: Model commutativity using arrays and tape diagrams.

Lesson 15 Homework

1. Label the tape diagrams and complete the equations. Then draw an array to represent the problems.
b) 4 × _____ = _____
_____ × 4 = _____

2. 7 clowns hold 4 balloons each at the fair. Draw and label a tape diagram to show the total number of balloons the clowns hold.

3. George swims 7 laps in the pool each day. How many laps does George swim after 4 days? Draw and label a tape diagram to solve.

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