1. Distributive Property
Using the “Mouse Method” 8 5 3
3 x
Uses arrays, animation, and step by step scaffolded instruction.

2. Distributive Property
The distributive property allows you to decompose (break down) one factor. Then you can use the smaller known facts to find products. 8 3

3. The Distributive Property
We can use the Distributive Property of Multiplication to make division easier! Let’s look at it step by step! How many rows are in this array? How many columns are in this array? 3 8 8 3

4. The Distributive Property
Great! So this array represents: 3 x 8 Now click to see how the mouse will split this array! 8 3

5. The Distributive Property

6. The Distributive Property
The mouse split this array into two!
What is the new array on the left?
What is the new array on the right?
3 x 5
3x 3

7. The Distributive Property
So we began with
3x8
The array was split into
(3x5) and (3x3)

8. The Distributive Property
3x8
(3x5) and (3x3)
Multiply:
3x5 = 15
3x3 = 9
Add the products: = 24 so
3x8= 24
YOU DID IT!

9. The Distributive Property
Let’s look at a new array How many rows are in this array? How many columns are in this array? 6 9 9 6

10. The Distributive Property
Great! So this array represents: 6 X 9 Now click to see how the mouse will split this array! 9 6

11. The Distributive Property
The mouse split this array into two!
What is the new array on the left?
What is the new array on the right?
6 x 4
6x 5

12. The Distributive Property
So we began with
6x9
The array was split into
(6x4) and (6x5)

13. The Distributive Property
6x9
(6x4) and (6x5)
Multiply:
6x5 =
6x4 = 24 30
Add the products: = 54 so
6x9= 54
YOU DID IT!

14. The Distributive Property
Let’s be more efficient by using just the mouse!
4 x 9 = ?

15. The Distributive Property
Let’s be more efficient by using just the mouse! 9
4 x = ?
1. Change one number with mouse ears!

16. The Distributive Property
Let’s be more efficient by using just the mouse! 9 4 5
4 x = ?
2. The ears add up to the face number (split one factor)

17. The Distributive Property
Let’s be more efficient by using just the mouse! 4 5 9
4 x = ?
3. Multiply the other factor by each ear number
(4 x4) + (4x5)

18. The Distributive Property
4 x = ? 9 4 5
3. Multiply the other factor by each ear number
(4 x4) + (4x5)
4. Add the products together = 36 so
4 x 9 = 36
YOU DID IT!

19. The Distributive Property
15 x = ?
1. Change one number with mouse ears!

20. The Distributive Property
x 6 = ? 15 10 5
x 6 = ? 15 10 5
2. Change one number with mouse ears! (Split one factor)

21. The Distributive Property15 10 5
x 6 = ?
3. Multiply the other factor by each ear number
(10 x6) + (5x6)
4. Add the products together = 90 so
15 x 6= 90
YOU DID IT!

22. The Distributive Property of Multiplication
Multiplying two factors together gives the same result as breaking one factor into two addends, multiplying both addends with the remaining factor, then adding both products together.

23. The Distributive Property of Multiplication
We use the Distributive Property to “break” one array into two smaller arrays to make multiplication easier!
(3 x 5) (3x3)
3 x 8 = +