Connecting Multiplication and Division Facts

Purpose

To identify and provide related multiplication and division facts

Materials

None

Overview

Give students two factors (for example, 3 x 7), ask students to give the product (21) and then ask one student to give a related division fact (for example, 21 ÷ 7 = 3). To keep students attentive, state the factors and have students respond with the product before choosing a student to give the related fact. To keep the pace moving, you can randomly choose students using a deck of name cards.

About the sequence

Part 1 asks students to provide the product of two factors followed by the quotient of its related division fact, using factors less than or equal to 5. Part 2 uses factors up to 10, and the extension offers practice using factors up to 12.

Part 1

Let’s practice our multiplication facts. I’ll give a set of factors, and together, we’ll say the product. Then, a volunteer will give one related division fact. For example, if I say 2 x 4, the product is 8 and one related division fact is 8 ÷ 4 = 2 (or 8 ÷ 2 = 4). Here we go!

Examples:

2 × 5 (10, related division fact is 10 ÷ 5 = 2 or 10 ÷ 2 = 5)
3 × 2 (6, related division fact is 6 ÷ 3 = 2 or 6 ÷ 2 =3
3 × 3 (9, related division fact is 9 ÷ 3 = 3)
2 × 2 (4, related division fact is 4 ÷ 2 = 2)
4 × 3 (12, related division fact is 12 ÷ 3 = 4 or 12 ÷ 4 = 3)
4 × 4 (16, related division fact is 16 ÷ 4 = 4)
5 × 3 (15, related division fact is 15 ÷ 5 = 3 or 15 ÷ 3 = 5)
5 × 4 (20, related division fact is 20 ÷ 4 = 5 or 20 ÷ 5 = 4)

While children are enjoying their building of mastery, feel free to repeat. When children are eager for more, try Part 2.

Part 2

Let’s keep working on our related multiplication and division facts, but this time we’ll go even faster. (At some point, you might let the students lead this activity.)

Examples:

5 × 8 (40, related division fact is 40 ÷ 8 = 5 or 40 ÷ 5 = 8)
9 × 5 (45, related division fact is 45 ÷ 9 = 5 or 45 ÷ 5 = 9)
7 × 6 (42, related division fact is 42 ÷ 6 = 7 or 42 ÷ 7 = 6)
6 × 10 (60, related division fact is 60 ÷ 6 = 10 or 60 ÷ 10 = 6)
10 × 10 (100, related division fact is 100 ÷ 10 = 10)
6 × 8 (48, related division fact is 48 ÷ 8 = 6 or 48 ÷ 6 = 8)
9 × 4 (36, related division fact is 36 ÷ 4 = 9 or 36 ÷ 9 = 4)
9 × 9 (81, related division fact is 81 ÷ 9 = 9)

As always, when children seem excited for a new challenge, move on.

Extension

Now let’s find some more products and their related division facts.

Examples:

11 × 10 (110, related division fact is 110 ÷ 10 = 11 or 110 ÷ 11 = 10)
11 × 8 (88, related division fact is 88 ÷ 8 = 11 or 88 ÷ 11 = 8)
11 × 5 (55, related division fact is 55 ÷ 5 = 11 or 55 ÷ 11 = 5)
12 × 8 (48, related division fact is 48 ÷ 8 = 12 or 48 ÷ 12 = 8)
11 × 3 (33, related division fact is 33 ÷ 3 = 11 or 33 ÷ 11 = 3)
12 × 5 (60, related division fact is 60 ÷ 5 = 12 or 60 ÷ 12 = 5)
12 × 7 (84, related division fact is 84 ÷ 7 = 12 or 84 ÷ 12 = 7)
11 × 9 (99, related division fact is 99 ÷ 9 = 11 or 99 ÷ 11 = 9)
12 × 3 (36, related division fact is 36 ÷ 3 = 12 or 36 ÷ 12 = 3)