Prime factorization and the distributive property

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Presentation transcript:

Prime factorization and the distributive property Lesson 18 Continued

I can statements I can calculate the GCF and LCM of two or more numbers accurately using prime factorization. I can apply what I understand about factors to understand the Distributive Property. I can model the Distributive Property with a visual model.

Practice standard #1 : I will persist through problems without giving up! Teamwork Video

Warm-up: find the gcf(30, 50) List all factors Factor trees

Factor tree: GCF(30, 50) 30 50

Factor tree: GCF(42, 70) 42 70

Think, pair, share 15 + 25 = 8 + 12 = 4(2) + 4(3) = 4(2+3) = 20 8 + 12 = 4(2) + 4(3) = 4(2+3) = 20 15 + 25 = 5(3) + 5(5) = 5(3+5) = 40

DISTRIBUTIVE PROPERTY: ANGRY BIRDS STYLE ( + ) = +

Let’s Play! Answer the problems in your notebook. At the end of each round, total your points out of five. Your goal is to beat or match YOUR OWN score each round.

DISTRIBUTIVE PROPERTY: Game on! 6(2+3) = 14(3+7) = 9(4+3) = 8(2+9) = 11(4+3) = ( + ) = +

DISTRIBUTIVE PROPERTY: round 2 2 x 53 = 4. 8 x 29 = 2(50+3) = 8(20+9) = 4 x 27 = 12 x 42 = 4(25+2) = 12(40+2) = 9 x 102 = 9(100 + 2) = ( + ) = +

Brain break intermission Edad de Hielo Animales Bailando

DISTRIBUTIVE PROPERTY: round 3 2 x 37 = 4. 8 x 86 = 2(__+__) = 8(__+__) = 4 x 94 = 12 x 27 = 4(__+__) = 12(__+__) = 9 x 230 = 9(___+ __) = ( + ) = +

Exit ticket Find GCF(45, 60). You may list factors, or use a factor tree. Apply the Distributive Property to rewrite this addition problem. 30 + 45 = ___ (___+___) = 3. Write two numbers, neither of which is 8, whose GCF is 8. 4. Find the LCM(6, 9). Remember that a multiple means a copy. List the first few multiples for each number until you find the one that is COMMON between them. 5. Write two numbers, neither of which is 28, whose LCM is 28.