Curriculum Map for Pythagorean Theorem
Activity One: Who is Pythagoras?
Target Objective:
- In an online discussion forum, students will be able to determine importance of Pythagoras in mathematical history by stating at least one of Pythagoras' accomplishments, and why this/these accomplishment(s) are the best.
Activities:
- Students will be engaged in different reading passages about Pythagoras.
- Students will work as a group (or an individual) to learn how to use a reading strategy to organize information from text.
- Know-Want to Learn-Learn
- SEARCH Strategy
- I-Chart
- Students will participate in an online discussion of readings, and relevance to today's world.
Activity Two: Proof Behind the Pythagorean Theorem
Target Objective:
- In a discussion group, the student will be able to justify the Pythagorean Theorem by explaining why the squares of the legs are equal to the square of the hypotenuse.
Activities:
- Students will learn how to properly label a right triangle.
- Students will participate in a hands-on activity to prove the ideas behind Pythagorean Theorem.
- Students will watch a video of another proof of Pythagorean Theorem.
Activity Three: Finding the Unknown Side of a Right Triangle using Pythagorean Theorem
Target Objective:
- Given two sides of a right triangle, students will be able to determine the length of the unknown side of the right triangle by using Pythagorean Theorem and a calculator.
Activities:
- Students will learn how to calculate the hypotenuse of a right triangle, given the two legs.
- Students will learn how to calculate a leg of a right triangle, given one leg and the hypotenuse.
- students will practice finding the missing side of a right triangle, given the other two side lengths.
Activity Four: Using Pythagorean Theorem to Solve Real World Problems
Target Objective:
- Given a scenario describing a right triangle, students will be able to draw a picture representing the passage, and solve for the missing distance by using Pythagorean Theorem and a calculator.
Activities:
- Students will solve real world problems, using the Pythagorean Theorem.
- Students will participate in an online quiz, allowing for immediate feedback on their learning.
Activity Five: Is it a triangle, a right triangle, or not a triangle?
Target Objective:
- Given three lengths, students will determine whether the lengths create a right triangle by applying the Pythagorean Theorem and using a calculator.
Activities:
- Students will participate in a hands-on activity using Spaghetti to prove the lengths of the sides of a triangle.
- Students will learn how to determine if three lengths create a right triangle.
- Students will learn to differientiate between a triangle, a right triangle, and lengths that do not create triangles.
Activity Six: Pythagorean Theorem Extra Practice
Activities:
- Students have the choice to participate in a resource page that contains videos, reading passages, practice pages, and interactive games to increase their knowledge.
Go back to the Portfolio: Jamie Davis Design Project Portfolio
Go on to the Online Course: Pythagorean Theorem