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Building Fraction Number Sense – Purposeful Practice

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Now It Works, Now It Doesn’t 3 ½

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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)  What are your objectives? What will be your endpoints?

     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  Exs. This is 3, where is ½?

 Change the length of the lines and the placement of benchmarks

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When Do I Use Fractions?

 Forced Choice –    Could Use Must Use Can’t Use

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Show the Rest…  Here’s ¾ of a rectangle. Show 4/4:  Here’s 3/8 of a rectangle. Show ¾:  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  Sort fractions in at least three ways….

(Can use Venn Diagram)  Is or can be whole number; fraction  Less than 1; equal to 1; greater than 1  Close to 0; close to ½’; close to 1  Proper; improper  Denominator is odd; reduced fraction

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Show Me….

 Show Me …   Plates String

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Finish the Fraction  TARGET: ½  3/?

?/7  TARGET: 3/2  8/?

?/7

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Thinker Math

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Agree or Disagree/ You Decide  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.

 The more digits to the right of a decimal point, the larger the number.

 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  ½ _______ ¾ + ½  ½ _______ ¾ - ½  ½ _______ ¾ x ½  ½ _______ ¾ divided by ½