Squaring the Triangle

Teach budding mathematicians how to square a triangle with an interactive that shows a graphical proof of the Pythagorean Theorem. Pupils alter the lengths of the legs using sliders. Using the inputted lengths, the applet displays the areas of the squares on each side of the triangle along with the measures of the three angles.

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CCSS: Designed
Instructional Ideas

  • Research proofs of the Pythagorean Theorem
  • Use paper manipulatives of right triangles and squares to physically show that the sum of the areas of the two small squares is equal to the area of the larger square
Classroom Considerations

  • The class should have a basic understanding of the Pythagorean Theorem
Pros

  • Includes links to related resources
  • Displays the figure on a grid, allowing learners to verify the areas by counting
Cons

  • None
Common Core