# Multiplication Strategies

## Fact Fluency Games: Multiplication

- Multiplication War
- Multiplication “Go Fish”
- Multiplication “Memory”
- Array Games
- Draw the Array Game
- Multiplication Baseball
- Multiplication Flower
- Multiplication Diamond Paper
- Multiplication Subitizing Cards
- The Product Game
- Multiplication Ludo
- 3 In a Row
- Multo 2 0

## Multiplication War

## Multiplication “Go Fish”

## Multiplication “Memory”

## Array Games

## Draw the Array Game

## Multiplication Baseball

## Multiplication Flower

## Multiplication Diamond Paper

## Multiplication Subitizing Cards

## The Product Game

## Multiplication Ludo

## 3 In a Row

## Multo 2 0

## Repeated Addition

As students begin learning multiplication, they see the connection between multiplication and repeated addition.

3 x 4 = 4 + 4 + 4

6 x 5 = 5 + 5 + 5 + 5 + 5 + 5

## Zero Property (x0)

The product of any number and 0 is 0.

4 x 0 = 0 0 x 65 = 0

## Times Ten (x 10)

Focus on the base ten aspect of our number system. Discuss moving a place.

6 x 10 = 60 45 x 10 = 450

## Doubles (x 2)

To multiply by 2, double the other number or think of the addition doubles.

2 x 5 = 5 + 5 = 10 14 x 2 = 14 + 14 = 28

## Double-Double-Double (x8)

To multiply by 8, double the other number, double the result and double it again.

8 = 2 x 2 x 2

8 x 6 = ((6x2) x2) x 2 = (12x2)x2= 24 x2= 48

8 x 43 = ((43x2) x2) x 2 = (86 x 2) x 2= 172 x 2 = 344

## Double Plus a Set (x 3)

To multiply by 3, double the other number than add one more set of that number.

3 = 2 + 1

3 x 6 = (2 x 6) + 6

3 x 15 = (2 x 15) + 15

## Visualizing Arrays

The array provides a visual model for multiplication. The numbers being multiplied correspond to the dimensions of the rectangle and the product of those numbers correspond to the area of the rectangle.

## Identity Property (x1)

The product of any number and 1 is that number.

5 x 1 = 5 1 x 43 = 43

## Half Ten (x 5)

To multiply by 5, multiply by 10 and then divide the result in half. 5 = 10 ÷ 2

5 x 3= (10 x 3) ÷ 2 = 30 ÷ 2 = 15

5 x 18 = (10 x 18) ÷2 = 180 ÷ 2 = 90

## Double-Double (x 4)

To multiply by 4, double the other number and then double the result. 4 = 2 + 2

4 x 6 = 2 x (2 x 6) = 2 x 12 = 24

4 x 24 = 2 x(2x24) = 2 x 48= 96

## Ten Minus a Set (x 9)

To multiply by 9, multiply the number first by ten and then subtract a set of that number.

9 = 10 - 1

9 x 6 = (10 x 6) – 6= 60 – 6 = 54

9 x 45 = (10 x 45) – 45 = 450 – 45 = 405

## Half Ten Plus a Set (x 6)

To multiply by 6, carry out the steps for multiplying by 5 and then add a set.

6= 5 + 1

6 x 7 = ((10 x 7) ÷ 2) + 7 = 42

6 x 42 = ((10 x 42) ÷2) + 42= (420÷2) + 42= 210 + 42 = 252