Education Technology

The Pythagorean Theorem (Part 2)

Subject Area
Math: Geometry: Transformational Geometry
Math: Geometry: Triangles
Level
9-12
Activity Time
50 Minutes
Software
TI Connect™
TI Calculator
TI-83 Plus Family
TI-84 series
Other Materials
Resource Types
Lessons

The Pythagorean Theorem (Part 2)

Activity Overview

Students will:

  • Construct a square.
  • Divide each side of the square using the same length to construct four congruent triangles and an inner square.
  • Show that the Pythagorean relationship holds using an algebraic and numeric approach.
  • Before the Activity

    Provide each student with a copy of the attached .pdf document.

    During the Activity

    This activity will help students visualize the areas involved in a right- angled triangle and uses some basic algebra involving the sum of areas in the diagram to prove that the Pythagorean relationship holds. The numeric approach confirms the algebraic result.

    After the Activity

  • Review student answers
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary
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    Subject Area
    Math: Geometry: Transformational Geometry
    Math: Geometry: Triangles
    Level
    9-12
    Activity Time
    50 Minutes
    Software
    TI Connect™
    TI Calculator
    TI-83 Plus Family
    TI-84 series
    Other Materials
    Resource Types
    Lessons
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