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Lesson Plan

Pythagorean Theorem by ECSDM


Math, Science & Technology

Grade Levels

Intermediate, 7th Grade, 8th Grade


Students will be able to:

  • Identify the right angle, hypotenuse and legs of a right triangle.
  • Explore the relationship between the lengths of the three sides of a right triangle using the area formulas of squares in a hands-on activity using manipulatives.
  • Use the Pythagorean Theorem to determine the unknown length of a hypotenuse of a right triangle by completing the homework assignment.


2 (40-minute) class periods


In this lesson students will discover the Pythagorean Theorem. Students will also use the Pythagorean Theorem to solve real life problems.


PBS-Pythagorean Puzzle
PBS-Pythagorean Puzzle ~ Shockwave Version


  • SMART Board
  • Internet-connected computer
  • Scissors

    • Pythagorean Theorem Investigation #1
    • Questions of the Day
    • Right Triangle Problems #1

    • Pythagorean Theorem Worksheet #1
    • Questions of the Day.pdf
    • Procedure

      1. As students enter the classroom, have them begin the "Question of the Day" activity.
      2. Distribute the worksheet titled "Pythagorean Theorem Investigation #1".
        Ask the students to:
        • Locate the right triangle and state the measurement of the legs.
        • Find the area of each leg.
        • Discover the length of the hypotenuse by cutting out the areas of the two legs.
      3. Observe this discovery lesson on the PBS-Pythagorean Puzzle website (Shockwave version).
      4. Provide the students with examples where the student will find the hypotenuse given the measurement of right triangles, using the "Right Triangle Problems #1" worksheet.
      5. Use the website to show real-life situations involving a baseball field and ladders leaning on a house
      6. Assign the "Pythagorean Theorem Worksheet #1" as homework.

      SMART Board

      This instructional content was intended for use with a SMART Board. The .xbk file above can only be opened with SMART Notebook software. To download this free software from the SMART Technologies website, please click here.

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