Pythagorean Theorem

In Action

Table of Contents1. Title page2. Table of Contents

7. Lesson 1: Right Angles

A. All over the worldB. Search the web

C. Turn In Results

8. Lesson 2: Right Triangles

B. Type in the steps.

D. Turn In Results

9. Lesson 3: Pythagorean Pyramids

A. Search the web

A. What is the height?

C. Mr. Right Responds

B. Turn In Results

10. Lesson 4: Pythagorean BaseballA. Baseball Diamond

B. Take the Field

C. Scoreboard and StepsD. Turn In Results

3. Expectations4. Outcomes

6. Summary

5. Successes6. Shortcomings7. Student Data

11. Thank You

Expectations

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• The webpage would not require supplemental software.

• The questions would be self-generating.

• The webpage would be interactive.

• To create a mathematical lesson on the internet.

• Students would have another method to learn.

Outcomes

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• Calling external windows with JavaScript.

• Moving objects with Dynamic HTML.

• Writing a random number generator in JavaScript.

I learned the following:

• Making a Power-Point presentation.

• Making a graph with Excel.

Successes

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• Most of the students passed the quiz.

• Pages were dynamic, yet accessible from our library.

• Taught the topic with another method.

• Met California standards for Algebra 1 and Geometry.

• Completed CTAP 295.

• Became a CTAP mentor.

Shortcomings

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• The library was the only connection at our school.• We never got “Fetch” to work.

• The library was connected for approximately one month.

• My classroom was never connected.

• Not enough time. So many other things to do at the school.

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Student Data

0

4

8

12

16

20

1 5 9 13 17 21 25 29 33 37

Students

Sco

res

Pre-Test

Post-Test

Summary

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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.

Lesson 1

Right Angles

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I’m all over the world.

I’m in the streets.

I’m in the buildings.

I’m even in your books.

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Students search the web.

Trying to find me.

When they do,

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Form

Right Angle Page

http://www.rightangle.com

You can find right angles below the title.

They fill out a form on the webpage.

The information goes to a database.

That information is emailed to the teacher later.

Lesson 2

Right Triangles

Hello, I’m Mr. Right.

I am a right triangle.

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I can also be found all over the world

For lesson 2, the students search the web for pages that have me.

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Students type their findings into a form on the web page.

Later, the teacher receives all of the students’ work as email.

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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.

Lesson 3Pythagorean Pyramids

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The pyramid has more then one right triangle.

Maybe the Pythagorean Theorem can be used to measure the parts of a pyramid.

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The base is 15 meters. The hypotenuse is 17 meters.

But what is the height?

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Students type a response for each step and press the “Check” button.

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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.

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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.

Lesson 4Pythagorean Baseball

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A baseball diamond consists of four right triangles.

The Pythagorean Theorem can be used to determine the distance from the home plate to first base.

24 ft

32 ft

? ft

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The brown triangles take the field.

The green triangles are up at bat.

24 ft

32 ft

? ft

Do the steps correctly and the green triangles get on base.

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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.

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Press “Turn In The Work”.

Form

Step 1: Correct Step 2: Incorrect Step 3: Correct Step 4: Incorrect

Another form pops up.

The student presses the button on the form and the work is sent into the database for the teacher.

Thank You

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The EndPress the green triangle to go back to the beginning.