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Get papers sit down get out homework &quietly work on bellringer Solve -4^2(-2)^3 (-3)^4

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Solve

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Get papers sit down get out homework &quietly work on bellringer Solve -2^2(-2)^4 (-3)^3

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Solve

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Prime Factorization 2-2

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umbersandoperations/factoring/ Brainpop - Factoring video.. Answer the questions

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Answers: 1. C 2. D 3. B 4. A 5. A 6. D 7. C 8. B 9. C 10. A

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Factor The numbers that are multiplied to get a product 15 = 3 x 5 3 and 5 are factors of 15 2 x 9 = 18 2 & 9 are factors of 18 3 x 2 =6 3 & 2 are factors of 6

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Prime Number is a counting number that only has two factors, itself and one. One is not a prime 7 is a prime 5 is a prime

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Composite Number Counting numbers which have more than two factors (such as six, whose factors are 1, 2, 3 and 6) One is not a composite 8 is a composite 55 is a composite

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A Rhyme to Help Us Remember Prime number What do you see? I see no other factors Except for one and me. Composite number What do you see? I see at least three factors Including one and me.

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All of the orange numbers on this chart are prime. Write them down. Refer to them so you don’t waste time trying to factor them.

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Prime Factorization When a composite number is written as a product of all of its prime factors Using the Factor Tree 78 / \ 2 x 39 / / \ 2 x 3 x 13

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Let’s Try a Factor Tree! / \ / \ 2 x 42 2 x 42 / / \ / / \ 2 x 2 x 21 2 x 2 x 21 / / / \ / / / \ 2 x 2 3 x 7 2 x 2 3 x 7

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Factor Trees do not look the same for the same number, but the final answer is the same / \ / \ 8 x 9 8 x 9 / \ / \ / \ / \ 2 x 4 x 3 x 3 2 x 4 x 3 x 3 / \ / \ 2 x 2 x 2 x 3 x 3 2 x 2 x 2 x 3 x / \ / \ 2 x 36 2 x 36 / / \ / / \ 2 x 2 x 18 2 x 2 x 18 / / / \ / / / \ 2 x 2 x 2 x 9 2 x 2 x 2 x 9 / / / / \ / / / / \ 2 x 2 x 2 x 3 x 3 2 x 2 x 2 x 3 x 3

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Greatest Common Factor The largest common factor of 2 or more numbers Use prime factorization or ladder to find GCF GCF of 24 and 36 Is 12 GCF of 72 and 84 Is 12

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Prime Factorization is helpful for finding greatest common factors / \ / \ 8 x 9 8 x 9 / \ / \ / \ / \ 2 x 4 x 3 x 3 2 x 4 x 3 x 3 / \ / \ 2 x 2 x 2 x 3 x 3 2 x 2 x 2 x 3 x 3 Take the common prime factors of each number and multiply to find the greatest common factor / \ / \ 2 x 42 2 x 42 / / \ / / \ 2 x 2 x 21 2 x 2 x 21 / / / \ / / / \ 2 x 2 3 x 7 2 x 2 3 x 7 2 x 2 x 3 = 12

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Least Common Multiple The smallest product that both numbers have in common LCM of 4 & 10 is 20 LCM of 5 & 7 Is 35 LCM of 12 & 15 Is 60

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Use the Ladder for LCM, GCF and Simplifying Fractions WRITE WRITE the two numbers on one line. DRAW THE L SHAPE DIVIDE out common prime numbers starting with the smallest LCM makes an L: LCM = 2 2 3 6 7 = 504 GCF = 2 2 3 = = 7 6 GCF is down the left side: Simplified fraction Simplified fraction is on the bottom

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Use the Ladder for LCM, GCF and Simplifying Fractions WRITE WRITE the two numbers on one line. DRAW THE L SHAPE DIVIDE out common prime numbers starting with the smallest LCM makes an L: LCM = 2 2 3 2 3 = 72 GCF = 2 2 3 = = 3 2 GCF is down the left side: Simplified fraction Simplified fraction is on the bottom

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Use the Ladder for LCM, GCF and Simplifying Fractions WRITE WRITE the two numbers on one line. DRAW THE L SHAPE DIVIDE out common prime numbers starting with the smallest LCM makes an L: LCM = 3 2 3 = 18 GCF = = 3 2 GCF is down the left side: Simplified fraction Simplified fraction is on the bottom

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Use the Ladder for LCM, GCF and Simplifying Fractions WRITE WRITE the two numbers on one line. DRAW THE L SHAPE DIVIDE out common prime numbers starting with the smallest LCM makes an L: LCM = 5 x 7 = 35 GCF = = 7 5 GCF is down the left side: Simplified fraction Simplified fraction is on the bottom 1

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HOMEWORK PG 77 4 – 40 evens only 8-16 use ladder use factor trees use ladder method

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HOMEWORK Ps 2-2 evens only 2-14 ladder factor tree use exponents ladder

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Resources Brain Pop – Prime Factors Prime FactorsPrime Factors Brain Pop - Prime Numbers Prime NumbersPrime Numbers Brain Pop - Exponents Exponents

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Interactive Practice for Factor Trees 1. Virtual Manipulatives Virtual Manipulatives Virtual Manipulatives 2. Interactive Practice 1 Interactive Practice 1 Interactive Practice 1 3. Interactive Practice from MathPlayground.com Interactive Practice from MathPlayground.com Interactive Practice from MathPlayground.com

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The Birthday Cake Method a.k.a. The Box Method An alternative to factor trees A video from YouTube A video from YouTube

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Challenge Problem Use what you know about multiplying whole numbers by variables and exponents to make a factor tree for the following monomial 45x x3x3 xxx

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A Random Thought about Prime Numbers Brought to you from YouTube.com Brought to you from YouTube.com

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Use the Ladder for LCM, GCF and Simplifying Fractions WRITE the two numbers on one line. DRAW THE L SHAPE DIVIDE out common prime numbers starting with the smallest LCM makes an L: LCM = 2 2 3 2 3 = 72 GCF = 2 2 3 = = 3 2 GCF is down the left side: Simplified fraction is on the bottom

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Ch Test this Thursday Big Rocks Quiz tomorrow – Decimal rules #1 Four Sight paper Homework Practice sheet 2-1 evens only

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