Lesson Plan
Curated OER

Pythagorean Triple

For Teachers 8th - 10th
Pupils investigate the properties of the Pythagorean Theorem. In this geometry lesson, students identify the missing angles and sides of a right triangle. They label the hypotenuse and legs of a right triangle correctly.
Lesson Plan
Curated OER

Pythagorean Theorem Word Problems

For Teachers 6th - 8th
Young scholars investigate the concept of the Pythagorean Theorem for geometry by using word problems. The challenge is for them to translate the words into the right measurements for a triangle looking for the longest side known as the...
Worksheet
Curated OER

Geometry Worksheet: Right Triangle

For Students 10th
In this geometry worksheet, 10th graders apply their knowledge of altitudes and geometric mean to solve the right triangle in order to find the length of the hypotenuse.  The one page worksheet contains one problem.  Answers...
Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 7th - 9th
Students solve right triangles using the Pythagorean Theorem.  In this solving right triangles using the Pythagorean Theorem lesson plan, students find the missing side of a right triangle.  Students find the hypotenuse given...
Activity
1
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Curated OER

Mt. Whitney to Death Valley

For Teachers 9th - 12th Standards
This is an intriguing problem that brings together real-world data, technology, and mathematical problem solving. If visibility wasn't an issue, could you see from the highest point in the lower 48 states, Mt. Whitney, to the lowest...
Lesson Plan
1
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Curated OER

A Rectangle in the Coordinate Plane

For Teachers 7th - 9th Standards
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem. 
Lesson Plan
Mathalicious

Been Caught Stealing

For Teachers 6th - 8th Standards
You're safe, when calculating the odds of stealing second base! Learners compare the rate of a runner to the distance the ball travels, in a lesson that explores right triangles and measurement. Full of discussion questions and fun...
Lesson Plan
Curated OER

The Distance and Midpoint Formula

For Teachers Higher Ed
In this college level mathematics worksheet, students solve use the Pythagorean Theorem to find the missing side of a right triangle and explore the connection between the Pythagorean Theorem and the distance formula....
Lesson Plan
Curated OER

Applying Special Right Triangles

For Teachers 10th
In this geometry worksheet, 10th graders use the theorems regarding right triangles to find the missing length in a special right triangle. The one page worksheet contains eleven questions. Answers are included.
Worksheet
1
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University of Adeaide

Basic Trigonometry and Radians

For Teachers 9th - 12th Standards
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
Lesson Plan
Willow Tree

The Pythagorean Theorem

For Students 8th - 11th Standards
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Lesson Plan
EngageNY

Lines That Pass Through Regions

For Students 9th - 12th Standards
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Assessment
Balanced Assessment

Refiguring Pythagoras

For Students 6th - 8th
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
West Contra Costa Unified School District

Introduction to Trigonometric Functions

For Teachers 9th - 12th
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
Lesson Plan
EngageNY

Informal Proof of the Pythagorean Theorem

For Students 8th Standards
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson plan by using the theorem to find missing side...
Lesson Plan
Virginia Department of Education

The Pythagorean Relationship

For Teachers 9th - 11th Standards
Add up areas of squares to discover the pythagorean relationship. Small groups create right triangles with squares along each side. They calculate the areas of each square and notice the relationship. Groups construct other types of...
Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 6th - 7th
For this pythagorean theorem worksheet, students identify the missing length of one side for 10 triangles. Each triangle gives the lengths of two sides and students must find the length of the third. 
Lesson Plan
Curated OER

Special Right Triangles

For Teachers 9th - 12th Standards
Using the Pythagorean Theorem to solve for missing angles, students evaluate right triangles and their properties.
Worksheet
Mt. San Antonio Collage

Elementary Geometry

For Students 9th - 12th Standards
Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and...
Lesson Plan
EngageNY

Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles

For Students 9th - 10th Standards
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
Lesson Plan
EngageNY

Incredibly Useful Ratios

For Students 9th - 10th Standards
Start the exploration of trigonometry off right! Pupils build on their understanding of similarity in this lesson that introduces the three trigonometric ratios. They first learn to identify opposite and adjacent...
Handout
Charleston School District

Pythagorean Theorem and Converse

For Students 8th Standards
You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...
Lesson Plan
Curated OER

Pythagorean Theorem by Graphic Manipulation

For Teachers 7th - 9th
There are many different ways to show a proof of the Pythagorean Theorem.  Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...

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