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Mathematics · Grade 7

Percent Change and Multi-Step Applications

Learners treat every percent change as a multiplier: an 8% tax multiplies by 1.08 and a 25% discount multiplies by 0.75. They solve tax, tip, markup, discount, commission and simple-interest problems, chain several changes together, compute percent increase, decrease and error relative to the original amount, and work backward from a final price to the original.

  • 4 lessons
  • About 95 minutes
  • Percent change check: 10 questions
  • Ways to answer: choose an answer, match pairs, type a number, put in order, shade a shape and sort into groups
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What learners will discover

  • Represent a percent increase as multiplying by (100 + p)% and solve sales tax, tip and markup problems.
  • Represent a percent decrease as multiplying by (100 − p)% and solve discount and markdown problems, including several changes in a row.
  • Compute percent increase, percent decrease and percent error relative to the original or actual amount.
  • Solve commission and simple-interest problems and work backward from a final amount to the original amount.

Lessons

  1. Increases as multipliers: tax, tip and markup 9 steps5 practiceabout 23 min
  2. Decreases: discounts, markdowns and changes in a row 10 steps5 practiceabout 25 min
  3. Percent change and percent error 9 steps5 practiceabout 23 min
  4. Commission, simple interest and working backward 8 steps5 practiceabout 24 min
  5. Percent change check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Ratio KitchenScale recipes, fill ratio tables and find the better buy.
  • Coordinate CourierDrive the parcel van to the right address on the coordinate grid.

More 7th grade math

Guide for grown-ups