Section B Section B Checkpoint

Problem 1

Elena ran 27102\frac{7}{10} miles. Diego ran 2342\frac{3}{4} miles. How much farther did Diego run than Elena? Explain or show your reasoning.

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Solution

120\frac{1}{20} mile or equivalent. Sample response: I used 20 as a common denominator and 34=1520\frac{3}{4} = \frac{15}{20} and 710=1420\frac{7}{10} = \frac{14}{20}, so Diego ran 120\frac{1}{20} mile farther.

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Sample Response

120\frac{1}{20} mile or equivalent. Sample response: I used 20 as a common denominator and 34=1520\frac{3}{4} = \frac{15}{20} and 710=1420\frac{7}{10} = \frac{14}{20}, so Diego ran 120\frac{1}{20} mile farther.

Problem 2

Find the value of each expression:

  1.  21112−1382\frac{11}{12} - 1\frac{3}{8}
  2.  34+29\frac{3}{4} + \frac{2}{9}

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Solution
  1. 113241\frac{13}{24} (or equivalent)
  2. 3536\frac{35}{36} (or equivalent)
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Sample Response
  1. 113241\frac{13}{24} (or equivalent)
  2. 3536\frac{35}{36} (or equivalent)

Problem 3

The line plot shows the amount of blueberries Lin picked on different days during harvesting season. 

Dot plot titled Blueberries from 0 to 3 by 1’s.
Dot plot titled Blueberries from 0 to 3 by 1’s. Hash marks by eighths. Horizontal axis, cups picked. Beginning at 2 eighths, the number of X’s above each eighth increment is 1, 3, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1.

  1. What is the difference between the greatest number of cups and the least number of cups of blueberries?
  2. How many days did Lin pick more than 1121\frac{1}{2} cups of blueberries?
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Solution
  1. 2282\frac{2}{8} cups (or equivalent)
  2. 6 days
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Sample Response
  1. 2282\frac{2}{8} cups (or equivalent)
  2. 6 days