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# Module 2 lesson 18 fifth grade flash back

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• 1. Name _________________________________________ Mrs. Labuski / Mrs. Portsmore Period ______ Date __________________ Fifth Grade Flashback!! Concept 1: Factor Trees & Prime Factorization To find the Prime Factorization of each number use a Factor Tree 36 1. Choose any two factors of the number: 3 12 2. Circle the prime number 2 6 3. Keep finding factors until each branch ends in a prime number 2 3 4. Rewrite the factors in order 36= 3 2 2 3 5. Combine any factors into exponential form 36= 22 32 Now let’s try one together: 1. 28 What divisibility rule can help you? ____ 2. ____________________ 3. 50 What divisibility rule can help you? ____ ____________________ 45 What divisibility rule can help you? ____ ____________________ 4. 72 What divisibility rule can help you? ____ ____________________
• 2. Concept 2 Greatest Common Factor Use Factor Trees to help you find the Greatest Common Factor of two numbers. Draw your factor trees Complete the Venn Diagram. Multiply the common factors to find the GCF GCF GCF GCF: 2 x 5 = 10 GCF= 10 GCF: 3 x 5 = 10 GCF = 15 Now you try: 1- factor trees 2 – Venn diagrams GCF GCF
• 3. Concept 3 GCF & Distributive Example: 36 + 8 as 4(9 + 2). Step 1: Find the GCF of the numbers in the sum. GCF of 36 and 8 is 4. Step 2: Replace each number by a product of the GCF and its other factor. 36 + 8 = 4 9 + 4 2 Step 3: Replace the sum of the products by two factors with the GCF as a multiple of the sum of two whole numbers. 36 + 8 = 4 9 + 4 2 = 4(9 + 2) Write each of the following sums as two factors of their GCF and a sum: 1) 24 + 16 (GCF=_4____) ___4(6+4)_____ 4) 63 + 54 (GCF=_____) ______________ 7) 54 + 36 (GCF=_____) ______________ 10) 20 + 44 ______________ 2) 25 + 15 (GCF=_____) _______________ 5) 80 + 30 (GCF=_____) _______________ 8) 49 + 84 (GCF=_____) _______________ 11) 4 + 12 _______________ 3) 35 + 28 (GCF=_____) ________________ 6) 12 + 9 (GCF=_____) ________________ 9) 24 + 18 (GCF=_____) ________________ 12) 6 + 8 ________________
• 4. Concept 1 Answer Key Now let’s try one together: 2. 28 2 2. 45 14 5 9 2 7 3 3 22 7 3. 50 32 5 4. 72 5 10 8 2 5 9 2 4 3 3 2 2 2 52 23 32 Concept 2 Answer Key GCF GCF: 3 x 5 = 15 GCF= 15 GCF GCF: 2 x 7 = 14 GCF = 14
• 5. Concept 3 Answer Key Write each of the following sums as two factors of their GCF and a sum: 1) 24 + 16 4(6+4) 2) 25 + 15 5(5+3) 3) 35 + 28 7(5+4) 4) 63 + 54 9(7+6) 5) 80 + 30 10(8+3) 6) 12 + 9 3(4+3) 7) 54 + 36 18(3+2) 8) 49 + 84 7(7+12) 9) 24 + 18 6(4+3) 10) 20 + 44 4(5+11) 11) 4 + 12 4(1+3) 12) 6 + 8 2(3+4)
• 6. Name _______________________________________ Mrs. Labuski / Mrs. Portsmore Period ________ Date ____________________ FlashBack Homework Concept1 & 2 Directions – Use Factor Trees& Venn Diagrams to find the GCF. 1) 36 and 60 2) 75 and 125 Concept 3 GCF & Distributive Write each of the following sums as two factors of their GCF and a sum: 1) 22 + 16 (GCF=_____) ______________ 4) 63 + 45 (GCF=_____) ______________ 7) 54 + 18 (GCF=_____) ______________ 10) 24 + 40 2) 35 + 20 (GCF=_____) _______________ 5) 70 + 40 (GCF=_____) _______________ 8) 49 + 98 (GCF=_____) _______________ 11) 20 + 24 3) 32 + 28 (GCF=_____) ________________ 6) 18 + 42 (GCF=_____) ________________ 9) 51 + 18 (GCF=_____) ________________ 12) 49 + 63
• 7. ______________ _______________ ________________