BuilderGrade 3⏱ 12 min

Multiplication as arrays

Arrange cookies in rows and columns, skip-count the rows, and turn the array to see 3 × 4 = 4 × 3.

Standards: 3.OA.A.13.OA.B.5

1Wonder

A baker puts cookies on a tray in neat rows. Is there a faster way to find out how many there are than counting them one by one?

2Explore

Array maker

This activity needs a bigger screen

Turn your phone sideways, or open this lesson on a tablet or computer. The explanation and quiz below work here.

3 × 4= 123 rows of 4 = 12SillyChili
Rows
3
In each row
4
Try this
  • Make 3 rows of 4. Press Count by rows. What numbers do you hear?
  • Press Turn it. Did the number of cookies change?
  • Press Give me a challenge and find an array with that many cookies. Can you find another one?
  • Make an array with 1 row. What do you notice?

3Explain

4 + 4 + 4SillyChili
Step 1 of 5

Equal groups

3 plates with 4 cookies on each plate. That is 3 equal groups of 4: 4 + 4 + 4.

4Practice

Question 1 of 5

Which multiplication matches this array?

5Recap

  • Multiplication counts equal groups: 3 × 4 means 3 groups of 4.
  • An array shows the groups as rows and columns.
  • Skip count the rows to find the total: 4, 8, 12.
  • Order does not matter: 3 × 4 = 4 × 3.