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Geometry

01

Visualizing Shapes and Transformations in 2D and 3D

  • How and why to include Computer-Aided Design (CAD) in your geometry middle school units or high school courses. Visit Making Math's Engineering pages for powerful 2-D and 3-D learning. 

02

Perimeter and Area

  • Optimization with area and volume  pdf doc solutions​

  • Gerrymandering: Where Politics and Geometry Clash

    • Teacher Guide  pdf doc

    • Click to play the intro and advanced versions online 

03

Reasoning and Logic

  • Mouse Mazes - A game of inference

  • Zoe's Zoo - A game of problem solving with logic

  • Conditional Statements and Euler diagrams

  • The Gnu Project

  • Axiomatic Systems and the Nature of Mathematics

  • Direct proof

  • Proof by contradition

  • Proof by induction

04

Transformations

  • Reflections

  • Rotations

  • Symmetry

  • Scaling and Fractals

    • Patterns Rule! - Iterative pattern generating tool can create fractal designs. Click here to explore online.  User's guide: online or pdf.

05

Dynamic Geometry - Constructions and Discoveries

  • Where was that Earthquake?

  • Always-and-All quadrilaterals

06

Coordinate Geometry - Have more tools in your toolkit

  • Distance formula, midpoint formula, and slope

  • Using fewer variables - efficient set-ups

07

Quadrilaterals and Original Student Proofs

  • Basic properties of quadrilaterals

  • Modified quadrilaterals

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