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MathSummer

Mainland High School · CCTT

These web-based activities were developed, during summer sessions from 1997 through 1999, by students at Mainland High School, located in Daytona Beach, FL. As part of Mainland's CCTT grant, the students were given permission by the book's publisher to convert the ancillary materials of the County's adopted Algebra 1 Textbook into html format.


Materials

  • square dot paper or Geoboard and rubber bands
  • isometric dot paper
You have seen how the "Pythagorean" Right-Triangle Theorem was proven by constructing squares on the legs of a right triangle and squares on the hypotenuse In this activity you will explore the relationships among the areas of other polygons constructed on the sides of right triangles.
The unit of areas on square dot paper is the area of one square, and the length of one side of the square is one square, and the length of one side of the square is one linear unit.

dots,gif

1.  On square dot paper, construct right triangles on the legs of a 3-4-5 right triangle and construct a right triangle on the hypotenuse as shown. Count the squares inside each right triangle to find the area. Record the data in the table on page 2.

FigureA

Page 2

 

Copyright 1997-1999: html adaptation
Career Connection to Teaching with Technology