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Mathematics · Grade 10

A Proof and Design Portfolio

The geometry capstone. Learners choose among two-column, paragraph, coordinate and transformation proofs for the same theorem, critique and repair flawed proofs, and complete a design brief for a fictional community-garden pavilion that draws on area, volume, similarity and trigonometry. They finish by assembling portfolio pieces: a polished proof and a design report written for a non-specialist audience.

  • 4 lessons
  • About 145 minutes
  • Portfolio check: 11 questions
  • Ways to answer: choose an answer, highlight a text, match pairs, type a number, put in order and sort into groups
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Choose an appropriate proof format (two-column, paragraph, coordinate or transformation) and write complete, justified proofs.
  • Critique proofs: identify unjustified steps, circular reasoning and invalid criteria, and repair them.
  • Complete a design task that satisfies geometric constraints using area, volume, similarity and trigonometry.
  • Communicate mathematical reasoning and design decisions clearly and honestly for a specified audience.

Lessons

  1. Choosing a proof strategy 6 steps3 practiceabout 35 min
  2. Critiquing and repairing proofs 6 steps4 practiceabout 32 min
  3. Design brief: the garden pavilion 6 steps4 practiceabout 40 min
  4. Communicating results 5 steps2 practiceabout 30 min
  5. Portfolio check 11 questions at the end

Keep exploring

More 10th grade math

Guide for grown-ups