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Equivalent Fractions Unit 4.5 Pages 180-184

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1. 8 = 2. 10 = 3. 16 = 4. 20 = 1, 2, 4, 8 1, 2, 5, 10 1, 2, 4, 8, 16 1, 2, 4, 5, 10, 20 Warm Up Problems List the factors of each number

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Equivalent Fractions Objective: Students will be able to write equivalent fractions and mixed numbers. We will model them, multiply and divide them, as well as reduce them into simplest form by finding the G.C.F.

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Definitions: Equivalent Fractions: Equivalent Fractions: Fractions that may be written with different denominators, but equal the same amounts when simplified. Simplest Form : Simplest Form : is when both the numerator, and the denominator is reduced into greatest common factors. Equivalent: means EQUAL

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2424 1212 4848 We will be using math disks to show how many different fractions can be equivalent (or equal) to each other. How many pieces are in the WHOLE How many pieces are used or needed. How many pieces are in the WHOLE How many pieces are used or needed. How many pieces are in the WHOLE How many pieces are used or needed. Each fraction below is EQUIVILENT (or) equal! How many more can you find!

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What equivalent fractions were found? 1/2 3/4 3/12 1

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When finding equivalent factors we take the same shaded shape and continue to break it into smaller equal pieces. 3434 6868 9 12 How many pieces we used or needed How many pieces are in the whole Numerator represents shaded pieces Denominator represents wholes Now we can reduce the fraction…

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#37) write the equivalent fractions for the picture below: = ______ = ______

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#38) write the equivalent fractions for the picture below: = ______ = ______

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#40) write the equivalent fractions for the picture below: = ______ = ______

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Homework (4.5) Challenge 4-5 Due: Tuesday match the fractions worksheet.

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Equivalent Fractions Day 2. Unit 4.5 Pages 180-184

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1. 2 3 2. 4 8 Warm Up Problems Draw two equivalent fractions for the fractions listed below:

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We can find equal fractions by changing the denominator of the fraction. 4646 Multiply Divide

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#2) find two equivalent fractions for each fraction. Multiply Divide 3 12

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#3) find two equivalent fractions for each fraction. Multiply Divide 3 6

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#4) find two equivalent fractions for each fraction. Divide 6 18 Divide

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difference We find the missing number that make the fractions equivalent by finding the difference between the numerator or denominator. 2525 10 = X ____ = 25

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#6) Find the missing number that makes the fraction equivalent. How do we make a 7 turn into a 1? 7 21 1 = ____ = 3

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#7) Find the missing number that makes the fraction equivalent. How do we make a 4 turn into a 28? 3 4 __ 28 = X ____ = 21

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#8) Find the missing number that makes the fraction equivalent. How do we make a 12 turn into a 3? 8 12 __ 3 = ____ = 2

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simplest form When we rewrite a fraction in its simplest form We need to factor the numerator and denominator into Greatest Common Factors 2 10 = = = 1 11 1 5

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#10) Write each fraction in simplest form. 6 18 = = = 1 11 1 3

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#11) Write each fraction in simplest form. 4 16 = = = 1 11 1 4

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#12) Write each fraction in simplest form. 9 15 = = = 3 33 3 5

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Homework (4.5) page 182 Due: Wednesday 17-24 29-32 (12 total questions)

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0.246.75 6/25 4 6 3/4 Write each decimal as a fraction. 2 3/5 22 Write as a decimal. 7/8

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