1. Properties of Operations: Commutative Property, Associative Property, Distributive Property
Apply Properties of operations as strategies to multiply and divide.
3.OA.5

2. Day 1
Which shows a picture of 3 x 5 ?
Commutative Property

3. Day 1 3 x 6 6 x 3 3 groups of 6 6 groups of 3 Explain how these two multiplication problems give the same product.
Commutative Property

4. Commutative Property Day 1
How can you think about multiplying both expressions?
Does it matter?
4 x or x 4
Are students seeing for (4 x 6) and for (6 x 4)
Are there other ways the students are thinking about these two expressions.
Ex. 6 x 4 and look like 6 x x 2
Commutative Property

5. Day 2 Multiply the following numbers mentally. 8 and 4
Students can come up with 1,2 or 3 strategies to multiply these numbers.
Commutative Property

6. Commutative Property Day 2
The teacher passed out boxes of markers to 9 students. Each box contained 8 markers.
How many markers are there in total?
How did you think about the problem?
Write or tell an expression.
Commutative Property

7. Day 3 We can group numbers when multiplying three factors, we can group the factors in different ways. For example, which two numbers would you multiply first and why. 5 x 3 x 2
Associative Property

8. Associative Property Day 3
Which two numbers would you multiply first and why?
3 x 6 x 4
4 x 2 x 9
Associative Property

9. Associative Property Day 3 True or False 2 x 4 x 6 = 6 x 2 x 4
How do you know?
Associative Property

10. Distributive Property
Day 4
We can break numbers up into smaller numbers in order to make multiplication problems we already know from memory.
For example, I always forget what 7 x 4 is.
I can split up the 4 into 2 and 2
I know 7 x 2 = 14
7 x 2 = 14
= 28
So 7 x 4 = 28
Distributive Property

11. Distributive Property
Day 4
7 x 6 =
I will split up the 7 into 5 and 2
5 x 6 = 30
2 x 6 = 12
7 x 6 = 42
Can someone break apart 7 x 6 differently? Share with a partner.
Share with the class and we will record the different ways.
Distributive Property

12. Distributive Property
Day 4
6 x 8 How would you break apart these numbers?
Let’s record all the different ways
Distributive Property

13. Distributive Property
Day x 7
5 x 7
2 x 7
Distributive Property

14. Distributive Property
Day 5 How would you split this up to multiply?
Project this image on a white board and allow students to come up and draw their lines to split up 7 x 7
For example 5 x x 7
Distributive Property

15. Distributive Property
Day 6 True or False 6 x 9 is the same as (6 x 5) + (6 x 4)
Distributive Property

16. Distributive Property
Day 6 Choose one to break apart and be able to explain how you broke it apart and why. 8 x 4 9 x 6 7 x 4
Distributive Property