UNIT 6
Triangles
LESSON 10
The Pythagorean Theorem Portfolio
8th grade pre algebra
In this lesson, you will be creating a portfolio that demonstrates your understanding of the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
To start your portfolio, you will need to gather some materials. You will need a ruler, a protractor, and a compass. You will also need graph paper or a blank sheet of paper to draw your diagrams on.
In your portfolio, you will include the following:
1. Definition and formula: Write a clear definition of the Pythagorean Theorem and include the formula. Explain what each part of the formula represents.
2. Diagrams: Draw at least three right triangles and label the sides as "a", "b", and "c", with "c" representing the hypotenuse. Measure the lengths of the sides using your ruler and label them on your diagrams.
3. Example problems: Solve at least three word problems that involve the Pythagorean Theorem. Include the problem, the solution, and a step-by-step explanation of how you found the answer using the Pythagorean Theorem. Use the diagram you created in step 2 to help you solve the problems.
4. Real-world application: Find an example in the real world where the Pythagorean Theorem is used. This could be in architecture, engineering, or any other field. Include a description of the application and how the Pythagorean Theorem is used in that context.
5. Reflection: Write a reflection on what you have learned about the Pythagorean Theorem. Include any challenges you faced, any new insights you gained, and how you might apply this knowledge in the future.
Once you have completed your portfolio, review it to make sure all the required components are included and that your work is neat and organized. You may also want to ask a classmate or teacher to look over your portfolio and provide feedback.
Remember, the purpose of this portfolio is to demonstrate your understanding of the Pythagorean Theorem, so make sure your explanations are clear and accurate. Good luck!