"> LESSON # 1

Pythagorean triples


OBJECTIVE:  Students  will explore Pythagorean Theorem using

            informations from Internet and following activity.



MATERIALS:  Computer, calculator, graph paper and pencil.



PROCEDURES:



1)   On graph paper, draw segment AB going 5 right and 2 up. Draw both 

     segments  BC and AD going 2 left and 5 up. Draw Segment DC and 

     describe how to go from D to C. What shape is ABCD ?



2). Repeat Exercise 1 with segment AB going 3 right and 5 up, and segment BC and segment AD both going 5 left and 3 up. 3). On the graph paper, draw segment IJ going 3 right and 2 up. Draw square IJKL on segment IJ. Also draw a surrounding square whose sides are parallel to the grid lines. Calculate the area of square IJKL. Use square root tables or a calculator to find the length of segment IJ to hundredth place. 4). Repeat Exercise 3 for square MNOP, where segment MN is 8 right and 6 up. 5). Repeat Exercise 3 for square QRST, where segment QR is 2 right and 1 up. 6). Repeat Exercise 3 for square UVWX, where segment UV is 5 right and 4 up. 7). Copy and complete the table. Use the figure and your work in Exercises 3-6 to help you.
Area of Square
on Hypotenuse
(AB)2 = 8 (EF)2 = ? (IJ)2 = ? (MN)2 = ? (UV)2 = ? (QR)2 = ?
Sum of Areas of Squares
on Other Two Sides
22 + 22
= 4 + 4
= 8
42 + 32
= ?
?
?
?
?
What do you notice in the table about the two numbers in each column ?