Transcript Building Fraction Number Sense

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Building Fraction Number
Sense – Purposeful
Practice
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Now It Works, Now It Doesn’t
3½
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Numbers That Go Together
1/2, 1/3,1/4, 1/5, 1/6, 1/7 …
1/1, 2/2, 3/3, 4/4, 5/5…
6/5, 7/5, 8/5, 9/5
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Human Number Line
(important because they are creating and seeing the
relationships between numbers = number sense)
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What are your objectives? What will be your endpoints?
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Recognize placement of fractions – size or amount?
 Within the whole number system
 Spacing of fractions by dividing into equal parts
 Unit fractions
 Equivalent fractions
 Mixed numbers
Learn relationship and location to other fractions/numbers? (ordering
fractions)
 Between the benchmark
 Closest benchmark
Estimation of addition, subtraction fractions?
Estimation of multiplication, division fractions?
Understand that fractions are decimals and vise versa?
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Find the Point
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Exs. This is 3, where is ½?
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Change the length of the lines and the placement of
benchmarks
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When Do I Use Fractions?
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Forced Choice –
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Could Use
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Must Use
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Can’t Use
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Show the Rest…
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Here’s ¾ of a rectangle. Show 4/4:
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Here’s 3/8 of a rectangle. Show ¾:
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Here’s 3/6 of a rectangle. Show 2/3:
Extensions:
- Vary the size of the
rectangle
- Ask for parts that are
smaller than the given
- Ask for part that is
larger than one
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Sorting Numbers
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Sort fractions in at least three ways….
(Can use Venn Diagram)
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Is or can be whole number; fraction
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Less than 1; equal to 1; greater than 1
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Close to 0; close to ½’; close to 1
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Proper; improper
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Denominator is odd; reduced fraction
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Show Me….
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Show Me …
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Plates
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String
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Finish the Fraction
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TARGET: ½
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3/?
?/7
TARGET: 3/2
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8/?
?/7
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Thinker Math
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Agree or Disagree/
You Decide
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If both the numerator and denominator of a fraction are
prime numbers, the fraction cannot be reduced. But if only
one of them is prime, then it can be reduced.
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The more digits to the right of a decimal point, the larger the
number.
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If you have two fractions with different numerators, the one
with the larger numerator will belong to the larger fraction.
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Find the Numbers
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Select the Sign
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½ _______ ¾ + ½
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½ _______ ¾ - ½
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½ _______ ¾ x ½
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½ _______ ¾ divided by ½