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Cogito

Grade 3 Math · Chapter 1 · Lesson 2

Practice Worksheet

Arrays and the Commutative Property

Turn the array and the product stays the same.

10 problems · about 12 minutes · 3.OA.A.1, 3.OA.B.5

NameDate

Figure — use these to answer the problems

Swap the rows and columns round. Watch the product stay put.

4 + 4 + 4 = 12

3 × 4 = 12

Rows3
Columns4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Equal Groups and Multiplication”

    4 groups of 5. What is the product?

    Answer

  2. From “Equal Groups and Multiplication”

    What does multiplication do?

    • Adds equal groups the short way.
    • Adds any numbers together.

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. You know 9 × 2 = 18. What is 2 × 9?

    Answer

  2. Why is the commutative property useful?

    • It halves the facts you must learn.
    • It makes the answers bigger.

  3. You know 8 × 2 = 16. What is 2 × 8?

    Answer

  4. 5 × 3 = ?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 10 × 4 = ?

    Answer

  2. Does 7 × 6 give the same product as 6 × 7?

    • Yes. Order does not matter.
    • No. They are different.

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Garden

    A garden has 5 rows of 7 plants. How many plants? What is 7 × 5?

    Answerplants

  2. Two Ways

    You know 6 × 4 = 24. What is 4 × 6?

    Answer