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

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

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

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

1/3 = 2/6

1/2 = 3/6

1 WHOLE = 6/6

1/6 = 2/12

1/3 = 2/6= 4/12

½ = 3/6 = 6/12

Brown trapezoid is ¼ of the whole

¼ = 3/12

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

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

 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

 2/3 SIMPLEST FORM  4/6

 3/12 SIMPLEST FORM  1/4

 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

 1/2 + 1/3 ADDING FRACTIONS = 5/6

 2/3 + 1/6 2/3+ 1/6 =5/6

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

 How much does this shape represent?

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