Pythagorean Theorem
David Gelman
 

 
 
 
 
 
 


 
 
 
 
 
 
 
 


 
 
 
 
 
 
 

 
 
 
 
 
 
 
 
 


 
 
 
 
 
 
 
 
 
 
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Introduction
Students will understand what is a right triangle and label its parts. They will recognize right triangles within other images and identify their parts. They will perform a webquest searching for similar figures.

Students will also learn to solve for the length of one of the sides given the other two.  Javascript will be used to make this part of the lesson more interactive.

Subject:Algebra I and Geometry
Topic: Pythagorean Theorem
Grade Level:9-12
Student Lesson name and URL:
Standards Addressed
California Standards for Mathematics This file is 544k and requires acrobat reader.
Algebra 1
2.0) Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raisiing to a fractional power. They understand the rules of exponents.

Geometry
15.0) Students use the Pythagorean theorem to determine distance and find the missing lengths of sides of right triangles. 

Instructional Objectives
1) Students know what is a right triangle, its legs and its hypotenuse. 

2) Students can solve for the hypotenuse given the length of the legs.

3) Students can solve for the length of one of the legs given the lenght of the other leg and the hyponuse.

Student Activities
Introductory Activity
Students are provided 3 images which have of right triangles inside of them.The right triangles are highlighted. The legs and hypotenuse are labeled.
1) in a street map
2) in a pyramid
3) in a baseball diamond

The students are assigned to search the internet for more images that have right triangles in them.  They can print out the images and highlight the right triangles. They should also label the 2 legs and the hypotenuse.

Enabling Activity(ies)
1) Show the students how to calculate the distance from the base to the top of a pyramid using the pythagorean theorem.  Students will learn to solve for hypotenuse given the 2 legs.Use javascript to generate another pythagorean triple and take the students through the steps of solving for the hypotenuse, correcting them as they go.

2) The students are given the distance from home plate to second base and the distance from first base to second.  Show students how to calculate the distance from home plate to first base. Students will learn to solve for one of the legs given the hypotenuse and the other leg.Use javascript to generate another pythagorean triple and take the students through the steps of solving for a leg, correcting them as they go.

Culminating Activity
Students solve for either the hypotenuse or leg of any right triangle. Use javascript to generate another pythagorean triple and have them solve for the hypotenuse or one of the legs.
 

Assessment
Insert your grading rubric for the culminating activity or a link to your rubric or test document file.
Results
After implementing your lesson (sometime between January & March), insert a chart of your pre-test, post-test, and culminating assessment data.
 
Web Resources & Supplementary Materials
Introductory Activity
Names of the Sides of a Right Triangle
Right Triangle Facts
Right Triangles (another CTAP 295 page by Ms. Isabel Cervantes)

Enabling Activity
Baseball and the Pythagorean Theorem
Pythagoras (another CTAP 295 page by Mr. Scott Schoepp)

Culminating Activity
Circles around Pythagorus
Pythagorean Triples

Gardena High School
Gardena, California
DavidX200@aol.com
Last Revised: 07/1/2000