 Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum            Session 6, Part A:
The Pythagorean Theorem

In This Part: Calculating Area | Squares Around a Right Triangle | The Theorem

Each of the three figures in Problem A2 shows a right triangle with squares built on the sides. Determine the exact area of all three squares for each figure.  Problem A2

Figure 1:  Figure 2:  Figure 3:    Figure # Area of Square on Side a Area of Square on Side b Area of Square on Side c        Figure 1:   Figure 2: Figure 3:    Side a Side b Side c      4 9 13 1 4 5 4 4 8   Problem A3 Look at your table, and come up with a relationship between the three squares that holds for all of the pictures.   Video Segment In this video segment, the participants calculate the areas of the squares built on the right triangles. As they do the activity, a pattern begins to emerge, and they are able to formulate the relationship they discovered. Was your method of calculating areas similar to or different from the one shown here? Can you come up with yet another way of doing this? If you are using a VCR, you can find this segment on the session video approximately 4 minutes and 58 seconds after the Annenberg Media logo.   Problem A2 and the Video Segment problems adapted from IMPACT Mathematics, Course 1, developed by Educational Development Center, Inc. p. 537. © 2000 Glencoe/McGraw-Hill. Used with permission. www.glencoe.com/sec/math   Session 6: Index | Notes | Solutions | Video