created by hester sutton april 2011 the brandywine school district presents the singapore math...
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![Page 1: Created by Hester Sutton April 2011 The Brandywine School District presents The Singapore Math Series Session IV Fractions](https://reader030.vdocument.in/reader030/viewer/2022032518/56649ccd5503460f94997e6c/html5/thumbnails/1.jpg)
Created by Hester Sutton April 2011
The Brandywine School District
presents
The Singapore Math SeriesSession IVFractions
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0 1
0 1/5 2/5 3/5 4/5 5/5 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.
0 1
6
5 6
5
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Area Model
Pie Diagram Rectangles
3
4
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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.
3
8
>58
Comparing the number of fractional units.
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Comparing Fractions: With the same numerator.
3
4 >3
7
Comparing the size of the fractional units.
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Circle the smallest fraction.
1
4
1
7
1
5
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Renaming Fractions
1
2
1
2
2
44
8
2
4
4
8= =
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3
4
6
8
12
16
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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
Kate Ryan?
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
Girls Boys
8 8 8 8 8
8 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 Stamps U.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
Cookie
Cookie
Each child will get 3/5.
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1 516 6
42 Children
Glasses No glasses
Next calculate the number of children who
wear glasses.
42 6 7
7
5 7 35 35 children do not wear glasses.
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of the balls in a basket are green.
1
4
1
8 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?
240 8 30
30 3030 30 303030 30
5(30) 150150 of the balls are neither green or purple.
240
?
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Adding Fractions
2 1
3 4
8 3 11
12 12 12
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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