Pythagorean Theorem

1. Pythagorean Theorem In Action

2. Table of Contents 1. Title page 9. Lesson 3: Pythagorean Pyramids 2. Table of Contents A. What is the height? 3. Expectations B. Type in the steps. 4. Outcomes C. Mr. Right Responds 5. Successes 6. Shortcomings D. Turn In Results 7. Student Data 6. Summary 10. Lesson 4: Pythagorean Baseball A. Baseball Diamond 7. Lesson 1: Right Angles B. Take the Field A. All over the world C. Scoreboard and Steps B. Search the web D. Turn In Results C. Turn In Results 11. Thank You 8. Lesson 2: Right Triangles A. Search the web B. Turn In Results

3. Expectations • To create a mathematical lesson on the internet. • The webpage would be interactive. • The webpage would not require supplemental software. • The questions would be self-generating. • Students would have another method to learn. Table of Contents

4. Outcomes I learned the following: • Writing a random number generator in JavaScript. • Calling external windows with JavaScript. • Moving objects with Dynamic HTML. • Making a Power-Point presentation. • Making a graph with Excel. Table of Contents

5. Successes • Met California standards for Algebra 1 and Geometry. • Taught the topic with another method. • Most of the students passed the quiz. • Pages were dynamic, yet accessible from our library. • Completed CTAP 295. • Became a CTAP mentor. Table of Contents

6. Shortcomings • My classroom was never connected. • The library was connected for approximately one month. • The library was the only connection at our school. • We never got “Fetch” to work. • Not enough time. So many other things to do at the school. Table of Contents

7. Table of Contents

8. Summary It was enjoyable to create the web page. CTAP forced me to sit down and learn more about JavaScript and Dynamic HTML. At our school, we have just finished the first year of reconstruction as a digital high school. For most of the classes, technology is something we talk about. We can occasionally arrange a trip to the library. But we really don’t know yet how well these web pages can be used to teach students. Table of Contents

9. Lesson 1 Right Angles Table of Contents

10. I’m all over the world. I’m in the streets. I’m in the buildings. I’m even in your books. Table of Contents

11. Students search the web. Trying to find me. When they do, Table of Contents

12. They fill out a form on the webpage. Form Right Angle Page http://www.rightangle.com You can find right angles below the title. The information goes to a database. That information is emailed to the teacher later. Table of Contents

13. Lesson 2 Hello, I’m Mr. Right. I am a right triangle. Right Triangles Table of Contents

14. I can also be found all over the world For lesson 2, the students search the web for pages that have me. Table of Contents

15. Students type their findings into a form on the web page. Form Mr. Right’s Homepage http://www.mrright.com The right triangle can be found in the lower left corner. They send their results into a database. Later, the teacher receives all of the students’ work as email. Table of Contents

16. Lesson 3 The pyramid has more then one right triangle. Maybe the Pythagorean Theorem can be used to measure the parts of a pyramid. Pythagorean Pyramids Table of Contents

17. The base is 15 meters. The hypotenuse is 17 meters. But what is the height? Table of Contents

18. Students type a response for each step and press the “Check” button. Table of Contents

19. If the step is correct, Mr. Right will appear and let the student know this. If the step is not done correctly, Mr. Wrong will let the student know this too. Table of Contents

20. Press a “Turn In The Work” Button. Form Step 1: Correct Step2: Try Again Step3: Correct Step4: Try Again A form appears with the steps listed and another button. The student presses this second button and the information goes to the database. Table of Contents

21. Lesson 4 Pythagorean Baseball Table of Contents

22. A baseball diamond consists of four right triangles. 32 ft The Pythagorean Theorem can be used to determine the distance from the home plate to first base. 24 ft ? ft Table of Contents

23. The brown triangles take the field. The green triangles are up at bat. 32 ft Do the steps correctly and the green triangles get on base. 24 ft ? ft Table of Contents

24. The “scoreboard” in the upper right corner gives directions to the students. Follow the steps. Press the “Check” button. The scoreboard will tell the student whether the step is done correctly. Table of Contents

25. Press “Turn In The Work”. Another form pops up. Form Step 1: Correct Step 2: Incorrect Step 3: Correct Step 4: Incorrect The student presses the button on the form and the work is sent into the database for the teacher. Table of Contents

26. Thank You The End Press the green triangle to go back to the beginning. Table of Contents