5th Grade Pencil Problem

Share this with your students to help them improve their math thinking and begin to prepare for PARCC testing.

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5th Grade Pencil Problem

Created 3 years ago

Duration 0:16:39
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Share this with your students to help them improve their math thinking and begin to prepare for PARCC testing.
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Slide Content
  1. PARCC math Example

    Slide 1 - PARCC math Example

    • 5th grade pencil-box problem
  2. Part a

    Slide 2 - Part a

    • Mr. Edmunds shared 12 pencils among his four sons as follows:
    • Alan received 1 / 3 of the pencils
    • Bill received 1 / 4 of the pencils
    • Carl received more than 1 pencil
    • David received more pencils than Carl
    • On the number line, represent the fraction of the total number of pencils that was given to both Alan and Bill combined.
    • 0
    • 1
  3. workspace

    Slide 3 - workspace

  4. Part a

    Slide 4 - Part a

    • Mr. Edmunds shared 12 pencils among his four sons as follows:
    • Alan received 1 / 3 of the pencils
    • Bill received 1 / 4 of the pencils
    • Carl received more than 1 pencil
    • David received more pencils than Carl
    • On the number line, represent the fraction of the total number of pencils that was given to both Alan and Bill combined.
    • 0
    • 1
  5. Part b

    Slide 5 - Part b

    • What fraction of the total number of pencils did Carl and David each receive? Justify your answer.
  6. Part a

    Slide 6 - Part a

    • Mr. Edmunds shared 12 pencils among his four sons as follows:
    • Alan received 1 / 3 of the pencils
    • Bill received 1 / 4 of the pencils
    • Carl received more than 1 pencil
    • David received more pencils than Carl
    • On the number line, represent the fraction of the total number of pencils that was given to both Alan and Bill combined.
    • 0
    • 1
  7. workspace

    Slide 7 - workspace

  8. Part b

    Slide 8 - Part b

    • What fraction of the total number of pencils did Carl and David each receive? Justify your answer.
  9. Part b

    Slide 9 - Part b

    • What fraction of the total number of pencils did Carl and David each receive? Justify your answer.
    • Carl received 2 / 12 pencils and David received 3 / 12 pencils. In Part A of the problem, I found that Alan and Bill combined had been given 7 / 12 pencils, which left 5 pencils for Carl and David. In the problem, it said that Carl had more than one pencil and that David had more pencils than Carl. If Carl has 2 out of the 5 remaining pencils, that would leave 3 pencils for David. This works with the details in the problem because 2 is more than one (for Carl) and 3 is more than 2 (for David).