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Pythagorean Theorem Differentiated Instruction for Use in an ...

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Additional Activities<br />

Activity 1:<br />

Investigate the area of squares proof us<strong>in</strong>g The Geometer’s Sketchpad.<br />

Teacher Directions<br />

Set up a station with a computer <strong>an</strong>d GSP<br />

Build squares on the sides of a right tri<strong>an</strong>gle, follow the directions below.<br />

1. construct a l<strong>in</strong>e<br />

2. construct a po<strong>in</strong>t not on the l<strong>in</strong>e<br />

3. construct a l<strong>in</strong>e perpendicular to the po<strong>in</strong>t <strong>an</strong>d the first l<strong>in</strong>e<br />

4. construct the <strong>in</strong>tersection of the l<strong>in</strong>es<br />

5. construct one po<strong>in</strong>t on each of the l<strong>in</strong>es <strong>an</strong>d label the po<strong>in</strong>ts<br />

6. hide the l<strong>in</strong>es <strong>an</strong>d the po<strong>in</strong>ts used to construct the l<strong>in</strong>es<br />

7. construct segments between the rema<strong>in</strong><strong>in</strong>g three po<strong>in</strong>ts<br />

8. construct squares on each side of the tri<strong>an</strong>gle<br />

9. construct the <strong>in</strong>terior of each square<br />

10. name the squares A, B, <strong>an</strong>d C<br />

11. measure the area of each square<br />

12. add the areas of the two smaller squares<br />

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