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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 3x6 3 groups of 6 6x3 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? • 4x6 or 6x4 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. 5x3x2 Associative Property • Day 3 • Which two numbers would you multiply first and why? • 3x6x4 • 4x2x9 Associative Property Day 3 • True or False • 2x4x6=6x2x4 • 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 7 x 2 = 14 14 + 14 = 28 So 7 x 4 = 28 Distributive Property • Day 4 • 7x6= • 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 Day 4 • 6 x 8 How would you break apart these numbers? • Let’s record all the different ways Distributive Property Day 5 7x7 5x7 2x7 Distributive Property Day 5 How would you split this up to multiply? Distributive Property Day 6 True or False 6 x 9 is the same as (6 x 5) + (6 x 4) Distributive Property Day 6 Choose one to break apart and be able to explain how you broke it apart and why. 8x4 9x6 7x4 Distributive Property