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Mathematics · Grade 7

Multi-Step Modeling, Critique and Transfer

The grade 7 capstone. Learners model multi-step percent and rate situations with multipliers, write and solve equations and inequalities for real constraints, and act as checkers who find, name and fix the first error in flawed solutions. They finish by comparing two correct methods and by transferring the year's tools (scale, area, volume, probability and data) to unfamiliar situations, with cumulative retrieval throughout.

  • 4 lessons
  • About 100 minutes
  • Modeling, critique and transfer check: 11 questions
  • Ways to answer: choose an answer, type a fraction, highlight a text, match pairs, type a number and sort into groups
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Model multi-step percent and rate problems (discounts, tax, tips, markups, commission, interest and percent change) with multipliers, and check results for reasonableness.
  • Model situations with equations of the form px + q = r and p(x + q) = r and with inequalities, solve them, and interpret the solutions in context.
  • Critique flawed solutions to percent, algebra, geometry and statistics problems: find the first error, explain it and correct the answer.
  • Compare two solution methods and transfer the year's tools (rates, scale, area, volume, probability and data) to unfamiliar situations.

Lessons

  1. Modeling with percents and rates 9 steps6 practiceabout 24 min
  2. Modeling with equations and inequalities 9 steps5 practiceabout 25 min
  3. Critique: find and fix the error 9 steps6 practiceabout 25 min
  4. Compare methods and transfer 9 steps5 practiceabout 26 min
  5. Modeling, critique and transfer check 11 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