Multiplication and Division Lessons: All 4 in Order

Equal Groups #

Adding the same number again and again.

Multiplying is adding the same number again and again

These 12 squares are arranged in a grid.

3 rows with 4 in each. You could go 4 + 4 + 4.

Multiplication is repeated addition: 4 + 4 + 4 = 3 × 4 = 12.

Now you

4 groups of 3

5 groups of 3

A times table fact you can see.

A times table fact is a rectangle you can see

4 groups of 6 is 24.

6 rows of 4 is also 24: the same dots, turned. The order you multiply in does not change the count.

Now you

Now the rectangle is turned on its side. How many squares?

How many squares?

How many each one gets when you share fairly.

Dividing is asking how many each one gets when you share fairly

Twelve to share out fairly between 3 friends. Nobody has anything yet.

One round is done: each friend has one. Keep handing them round in turn until the pile is gone.

The pile is gone and each friend has 4, so 12 ÷ 3 = 4.

Now you

9 shared between 3

12 shared between 3

One array, one family of facts.

One array holds a multiplication and the divisions that undo it

Twelve squares in 3 rows answer a division: 12 shared into 3 rows puts 4 in each.

Split by columns instead: 12 ÷ 4 = 3. One picture, one family of facts.

Multiplying builds the 12; dividing takes it back apart. They undo each other.

Now you

5 × 6 = 30. What is 30 ÷ 5?

3 × 4 = 12. What is 12 ÷ 3?