Education Technology

TryAngle?

Activity Overview

In this activity, students investigate properties of triangles by randomly generating possible side lengths for triangles. They learn to determine if three line segments can form a triangle. They also learn to classify triangles as acute, obtuse, right, scalene, isosceles, and equilateral triangles. They gain an understanding of the Pythagorean theorem.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 13 - 18 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • Randomly generate 3 numbers between 1 and 6 using the roll dice program on the calculator
  • Use the three numbers as side lengths, cut straws to form these lengths and create a triangle
  • Keep a tally of the three numbers that could be used to make triangles and those that could not make a triangle
  • Classify triangles as equilateral if all sides are congruent, as isosceles if two sides are congruent, and as scalene if no two sides are congruent
  • Classify the triangles as acute if all angles of the triangle are below 90 degrees
  • Classify the triangle as obtuse if triangle has an angle greater than 90 degrees and has 2 acute angles
  • Classify triangles as right triangles if the triangle has an angle of 90 degrees and two acute angles
  • Test for a Pythagorean triplet using the side lengths of different triangles and find the right, acute, and obtuse triangles
  • Combine class data and create a list of all triangles (28 triangles) possible with a side of 1", 2", 3", 4", 5", and 6"
  • Use the triangle inequality rule to test the triangles
  • Classify the triangles by their sides and angles
  • After the Activity

    Students will complete the Worksheet and analyze the results.

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary