Properties of Operations Commutative Property Associative Property Distributive

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

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

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

Day 1 • How can you think about multiplying both expressions? • Does it matter? • 4 x 6 or 6 x 4 Commutative Property

Day 2 Multiply the following numbers mentally. 8 and 4 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

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

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

Day 3 • True or False • 2 x 4 x 6=6 x 2 x 4 • How do you know? Associative 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 14 + 14 = 28 So 7 x 4 = 28 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