Measuring with Pythagoras

Materials: Handouts, dot paper, Geoboard

Step 1:

Let .

¨ Do Activity Set 6.4: Irrational Numbers on the Geoboard from Mathematics for Elementary Teachers: An Activity Approach.

¨ Explain how to create squares so that the lengths of the sides are equal to each number in S.

¨ Explain why did I choose the numbers in S.

¨ Actively read about the Pythagorean Theorem and Investigation 10.3: Using the Pythagorean Theorem on pp. 565-6 of Bassarear.

¨ Explain how to create triangles so that the lengths of the hypotenuses are equal to each number in S.

¨ Explain how to create rectangles so that the lengths of the diagonals are equal to each number in S.