Worksheet Grade 7 Careers & CTE

Cost, Pay, and Percent: Comparing Water-Career Training Paths

A grade 7 careers worksheet where students use percent to compare the up-front cost of three water-sector training paths against real operator pay data.

Objectives

  1. Students will calculate what percent one amount is of another using real pay figures.
  2. Students will compute percent increases between pay levels and interpret the results.

Vocabulary

Key words: percent increase, median, percentile

Teacher overview

Choosing a training path means weighing what it costs now against what it can pay later. This worksheet gives students real operator pay data and three fictional training costs, then uses percent to compare them. A common error to watch for is dividing by the wrong number in a percent-increase problem; students should divide the change by the original amount, not by the new one.

Answer Key

  1. Answer: 2 percent. $1,500 ÷ $60,020 = 0.02499, and 0.02499 × 100 ≈ 2.499, which rounds to 2 percent.
  2. Answer: 13 percent. $8,000 ÷ $60,020 = 0.1333, and 0.1333 × 100 ≈ 13.3, which rounds to 13 percent.
  3. Answer: 67 percent. $40,000 ÷ $60,020 = 0.6664, and 0.6664 × 100 ≈ 66.6, which rounds to 67 percent.
  4. Answer: 20,910 dollars. $60,020 − $39,110 = 20,910 dollars per year.
  5. Answer: 53 percent. 20,910 ÷ 39,110 = 0.5346, and 0.5346 × 100 ≈ 53.46, which rounds to 53 percent.
  6. Answer: 31,040 dollars. $91,060 − $60,020 = 31,040 dollars per year.
  7. Answer: 52 percent. 31,040 ÷ 60,020 = 0.5172, and 0.5172 × 100 ≈ 51.7, which rounds to 52 percent.
  8. Answer: Accept reasoning that a higher up-front cost can lead to a role that earns more over a career, so the pay range (up to over $91,060) can make a costlier path worth it. The point is that cost alone does not decide value.
  9. Answer: Accept answers using at least two numbers, such as noting that Path A costs about 2 percent of median pay and Path C about 67 percent, yet the paths lead to different kinds of water jobs, and this worksheet gives pay only for operators, so cost alone cannot show which path is the better choice.
  10. Answer: 3,001 dollars. 5 percent of $60,020 is 0.05 × 60,020 = 3,001 dollars.

Differentiation

Support

Provide the subtraction results for items 4 and 6 already computed, so students focus on setting up the percent. Give a worked example with different numbers before item 1.

Extension

Ask students to find how many years of setting aside 5 percent of the median pay it would take to fully cover Path C's cost, showing their reasoning.

ELL supports

Pre-teach "median," "percentile," and "percent increase" with a simple labeled number line. Provide a sentence frame for items 8 and 9: "A higher cost can be worth it because ___."