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Created by Hester Sutton April 2011 The Brandywine School District presents The Singapore Math Series Session IV Fractions

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01 01/52/53/54/55/5 6/5 A fraction is a point on the number line. For example, to locate 6/5 we start at 0, find the step size so that 5 equal steps gets us to 1. Then take 6 such steps, landing at the point called 6/5.

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When counting or measuring we always have some unit in mind. Example: I have 3 cups of flour. We use fractions when there is a given unit, called the whole unit, but we want to measure using a smaller unit, called the fractional unit.

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Numerator is the number of fractional units. Denominator names a fractional unit by specifying how many fractional units make one whole unit. 01

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Area Model Pie DiagramRectangles

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0 1 Linear Measurement Model 3/4 Bar Diagrams are just thickened number lines. 3/4

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Set Model If a class of 20 students contains 15 girls and 5 boys then ¾ of the students are girls.

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Fractions are introduced at the end of Grade 2, but does not proceed to the next step, addition and subtraction of fractions, until Grade 4.

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Comparing Fractions: With the same denominator. > Comparing the number of fractional units.

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Comparing Fractions: With the same numerator. > Comparing the size of the fractional units.

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Circle the smallest fraction.

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Renaming Fractions ==

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Mother opened a quart of milk and poured 1/5 of the quart for Kate and 2/5 for Ryan. How much was left? Quart of Milk KateRyan ? 2/5 of the quart was left.

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4/5 of the children in the choir are girls. If there are 8 boys, how many children are there altogether? Children in the choir GirlsBoys x 5 = 40 There are 40 children altogether.

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Peter had 400 stamps. 5/8 of them were Singapore stamps and the rest were U.S. stamps. He gave 1/5 of the Singapore stamps to his friend. How many stamps did he have left? 400 stamps Singapore StampsU.S. Stamps ? 7/8 x 400 = 7 x (1/8 x 400) = 7 x 50 = 350 Peter had 350 stamps left.

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Mixed numbers and Improper fractions. Improper fractionMixed number is a whole number plus a fraction. is a fraction where the numerator is greater than the denominator.

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5 children want to share 3 giant cookies equally. How much should each one get? Cookie Each child will get 3/5.

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42 Children GlassesNo glasses Next calculate the number of children who wear glasses children do not wear glasses.

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of the balls in a basket are green.of the balls in a basket are purple. If there are 240 balls in all, how many of the balls are neither green or purple? of the balls are neither green or purple. 240 ?

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Adding Fractions

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Sam has 3/7 as many stamps as Lisa. If Sam gives 1/6 of his stamps to Lisa, what will be the ratio of the number of Sam’s stamps to Lisa’s? Lisa Sam The ratio of Sam’s stamps to Lisa’s stamps is 5:15 or 1:3

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