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Published byMarcia Hines Modified over 9 years ago

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FRACTIONS Using pattern blocks as a visual model Equivalents Simplest form Adding using common pieces

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How many of each piece does it take to make a whole? Write a fraction for each

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⅙ a green triangle will model the fraction 1/6 Why?

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1/3 = 2/6

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1/2 = 3/6

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1 WHOLE = 6/6

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1/6 = 2/12

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1/3 = 2/6= 4/12

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½ = 3/6 = 6/12

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Brown trapezoid is ¼ of the whole

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¼ = 3/12

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1/12 = 1/12 2/12 = 3/12 = 4/12 = 5/12 = 5/12 6/12 = 1/6 1/4 = 1/3 2/4 = 1/2=3/6 2/6

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7/12 = 7/12 8/12 = 9/12 = 10/12 = 11/12 = 11/12 12/12 2/3 = 4/6 3/4 5/6 =6/6=3/3 2/2

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1/12 2/12=1/6 3/12=1/4 4/12=2/6=1/3 5/12 6/12=3/6=2/4 =1/2 KNOWING EQUIVALENTS WILL HELP FIND SIMPLEST FORM 7/12 8/12= 4/6 = 2/3 9/12 = 3/4 10/12 =5/6 11/12 12/12= 6/6=4/4=3/3= 2/2

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2/3 SIMPLEST FORM 4/6

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3/12 SIMPLEST FORM 1/4

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Simplest form is the one that uses the least pieces to show an equal area SIMPLEST FORM OF 8/12 8/12 is not in simplest form. 8 and 12 have a common factor. Divide by the common factor to find the simplest form 8 ÷4 = 2 12 ÷ 4 = 3 Simplest form is 2/3

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1/2 + 1/3 ADDING FRACTIONS = 5/6

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2/3 + 1/6 2/3+ 1/6 =5/6

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1/4 + 2/3 = 11/12 3/12 4/12 4/12

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How much does this shape represent?

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