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Worksheet Grade 7 Art & Music

Where the Draystone Water Dollar Goes: A Pie-Chart Worksheet

A grade 7 art-and-math worksheet where students turn a fictional utility's budget percentages into dollar amounts and pie-chart slice angles for a bill insert.

Objectives

  1. Students will compute dollar amounts from budget percentages of a fixed bill.
  2. Students will convert budget percentages into pie-chart degrees.
  3. Students will explain which part of a water bill costs the most.

Vocabulary

Key words: utility, budget, percent, pie chart

Teacher overview

Water utilities sometimes mail a small insert that shows where each dollar of a bill is spent. A pie chart makes those shares easy to read at a glance. This worksheet uses the fictional Draystone Water District, which wants an insert for its monthly bill. Students turn the budget percentages into dollar amounts, then into pie-chart slices measured in degrees, so the finished art is accurate as well as clear. The scenario is invented for practice, yet the categories match how real utilities group their costs.

Where the Draystone Water Dollar Goes: A Pie-Chart Worksheet — Grade 7 Art & Music
Name: ____________________________ Date: ______________

Student Worksheet

Suppose the fictional Draystone Water District has a monthly bill of $60. The insert shows how each dollar is spent. Treatment takes 25 percent. Pipes and repairs take 40 percent. Pumping takes 15 percent. Billing and staff take 20 percent.

  1. How much of the $60 bill goes to treatment?
  2. How much goes to pipes and repairs?
  3. How much goes to pumping?
  4. How much goes to billing and staff?
  5. Add your four amounts. Do they total the full bill?
  6. A full pie chart is 360 degrees. How many degrees is the treatment slice?
  7. How many degrees is the pipes-and-repairs slice?
  8. The district raises the pipes-and-repairs share to 45 percent. How many dollars is that on the $60 bill?
  9. The share rose from 40 percent to 45 percent. By how many dollars did the pipes-and-repairs amount go up?
  10. Explain why the pipes-and-repairs slice is the largest part of the bill.

From Water for Schools (waterforschools.org). This material is in the public domain (CC0) and may be copied, edited, and shared freely.

Answer Key
  1. Answer: $15.
    25 percent of $60 is 0.25 times 60, which equals $15.
  2. Answer: $24.
    40 percent of $60 is 0.40 times 60, which equals $24.
  3. Answer: $9.
    15 percent of $60 is 0.15 times 60, which equals $9.
  4. Answer: $12.
    20 percent of $60 is 0.20 times 60, which equals $12.
  5. Answer: Yes, they total $60.
    15 plus 24 plus 9 plus 12 equals 60, the full bill.
  6. Answer: 90 degrees.
    25 percent of 360 degrees is 0.25 times 360, which equals 90 degrees.
  7. Answer: 144 degrees.
    40 percent of 360 degrees is 0.40 times 360, which equals 144 degrees.
  8. Answer: $27.
    45 percent of $60 is 0.45 times 60, which equals $27.
  9. Answer: $3.
    The new amount is $27 and the old amount was $24, so the increase is 27 minus 24, which is $3.
  10. Answer: Pipes and repairs is the largest slice because aging pipes cost the most to fix and replace, so they take the biggest share of the bill.

Differentiation

Support

Provide a partly filled table with the treatment row done (25 percent, $15) so students repeat the same steps for the other shares. Allow a calculator and give the "percent times 360" setup for items 6 and 7.

Extension

Ask students to draw the full pie chart to scale with a protractor, computing all four slice degrees first, then to label each slice with its dollar amount and percent.

ELL supports

Pre-teach "budget," "share," and "insert" with a simple drawing of a bill split into parts. Provide the sentence frame "___ percent of the bill is ___" for the computation items.