5th Grade Pencil Problem
Created 3 years ago
Duration 0:16:39
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Slide 1  PARCC math Example
 5th grade pencilbox problem

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

Slide 3  workspace

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

Slide 5  Part b
 What fraction of the total number of pencils did Carl and David each receive? Justify your answer.

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

Slide 7  workspace

Slide 8  Part b
 What fraction of the total number of pencils did Carl and David each receive? Justify your answer.

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).