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Building Fraction Number Sense – Purposeful Practice

Building Fraction Number Sense – Purposeful Practice. Now It Works, Now It Doesn’t. 3 ½. 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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Building Fraction Number Sense – Purposeful Practice

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  1. Building Fraction Number Sense – Purposeful Practice

  2. Now It Works, Now It Doesn’t 3 ½

  3. 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

  4. 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?

  5. Find the Point • Exs. This is 3, where is ½? • Change the length of the lines and the placement of benchmarks

  6. When Do I Use Fractions? • Forced Choice – • Could Use • Must Use • Can’t Use

  7. 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

  8. 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

  9. Show Me…. • Show Me … • Plates • String

  10. Finish the Fraction • TARGET: ½ • 3/? ?/7 • TARGET: 3/2 • 8/? ?/7

  11. Thinker Math

  12. 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.

  13. Find the Numbers

  14. Select the Sign • ½ _______ ¾ + ½ • ½ _______ ¾ - ½ • ½ _______ ¾ x ½ • ½ _______ ¾ divided by ½

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