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Equivalent Fractions EQ: How do we know fractional parts are equivalent?
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Review Fractions represent a part of a whole Fractions can be represented in many ways – Numbers (Numerator and Denominator) – Pictures – Number line Fractions are used in everyday life 1414 01 1/2 1/4 3/4
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Practice What fractions do you see? C C C C C C C C C C C C C C C C C C
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Equivalent Fractions To be equivalent means to be EQUAL 1414 2828
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How can we make equivalent fractions? Multiply both the numerator and denominator by the same number. 1414 2828 X 2
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How can we make equivalent fractions? We can use area models. 1313 2626
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Practice Use scissors to cut your fraction strips – DO NOT CUT UP THE FRACTION SECTIONS! Use the fourths and eighths strips to answer the following question: – Ms. Carr baked two cakes for her classes. She cut one cake into four equal pieces and the other into eight equal pieces. Jamario received a 1/4 sized slice. Damiana received 2/8 slices. Did the students receive the same amount of cake? Be able to justify your answer!
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Practice Fraction StripHow many pieces? Equivalent Fraction 1/221/2 = 2/4 1/ 331/3 = 2/6 1/ 4 1/5 1/6 1/884/8 = 2/4 1/10 1/12
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Exit Ticket 1.Fill in the blank: EQUIVALENT means the same as ____________. 2.Use multiplication to find equivalents of the following fractions. – 1/4 – 3/5 – 2/3 3.Use area models to find equivalents of the following fractions.
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Center 2 FractionEquivalent Fraction Picture
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Exit Ticket 1.Fill in the blank: If one fraction is EQUAL to another, that means the two fractions are ____________. 2.Use multiplication to find equivalents of the following fractions. – 2/6 – 1/3 – 5/7 3.Use area models to find equivalents of the following fractions.
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Review What are equivalent fractions? – Khan Academy - Equivalent Fractions Khan Academy - Equivalent Fractions So, if Ms. Carr ate 1/2 of a pizza and Ms. Bolton ate 4/8 of her pizza, did they eat the same amount of pizza? How do you know? What if Ms. Riley ate 3/4 of a candy bar and Mr. Toliver ate 6/8 of a candy bar; did they eat the same amount of candy? How do you know?
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How can we identify equivalent fractions? Putting the fractions in SIMPLEST FORM; – A fraction is in simplest form when 1 is the only number that divides both the numerator and denominator with no remainder How do we put a fraction into it’s simplest form? – LearnZillion - Simplifying Fractions LearnZillion - Simplifying Fractions
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Practice with fractions in Simplest Form What steps do I take to put 4/16 into simplest form? Find the factors of the number 4 – they are 1, 2, and 4 Find the factors of the number 16 – they are 1, 2, 4, 8, and 16 Find the GREATEST COMMON FACTOR – it is 4 Divide the numerator and denominator by the GREATEST COMMON FACTOR What is the new fraction?
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Practice With a partner, complete numbers 1 – 10 of worksheet, both sides.
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Exit Ticket Determine whether the following fractions are equivalent. 1.2/5 and 4/10 2.1/3 and 2/5 Create an equivalent fraction for each of the following fractions. 3. 3/44. 5/7 Simplify each of the following fractions. 1.2/4 2.5/15 3.3/27
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Exit Ticket Determine whether the following fractions are equivalent. 1.3/5 and 7/10 2.5/6 and 10/12 Create an equivalent fraction for each of the following fractions. 3. 1/44. 2/5 Simplify each of the following fractions. 1.4/8 2.3/15 3.12/18
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