Math · 8–10 · sweet spot 9

Art of Problem Solving Introduction to Geometry

Published by Art of Problem Solving

Top pick
SecularClassicalTraditional / TextbookEclectic

How it teaches

Art of Problem Solving's Introduction to Geometry uses a rigorous, proof-based approach that prioritizes understanding over memorization. The curriculum develops critical thinking and mathematical maturity through scaffolded problem sets that range from straightforward applications to olympiad-style challenges. Students learn to construct valid arguments and see geometry as a logical system rather than a collection of formulas.

Who it's for

Mathematically strong middle and early high school students (grades 8–10) who thrive on challenge, enjoy proofs, and want preparation for advanced mathematics or competition. Works well for classical and traditional homeschools seeking depth over breadth.

Who it's not for

Students seeking a light, intuition-first introduction to geometry or those who need significant scaffolding and concrete manipulatives. Not suitable for struggling math learners without strong foundational algebra skills.

Key features

  • Rigorous proof-based geometry with emphasis on problem-solving
  • Hundreds of carefully-selected exercises ranging from routine to challenging
  • Clear exposition with full solutions to odd-numbered problems
  • Develops logical reasoning and mathematical maturity
  • Builds foundation for advanced mathematics

At a glance

Format

textbook, workbook

Delivery

parent led

Approach

mastery

Cadence

2× per week · 60 min/session

Screen time

none

Materials

Mixed (consumable + reusable)

Parent prep

3/5

Parent involvement

3/5

Estimated cost

$79/ year, one student

Approximate MSRP. Confirm current pricing on the publisher's page before purchasing.

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