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...
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...
Handout
Charleston School District

Applications of the Pythagorean Theorem

For Students 8th Standards
Use patterns to your advantage! The Pythagorean Theorem allows learners to find missing sides of right triangles. Problems include those with both rational and irrational lengths. 
Handout
Charleston School District

3D Applications of the Pythagorean Theorem

For Students 8th - 10th Standards
How many right triangles can you find in a prism, cone, or pyramid? Using right triangles to find lengths in three-dimensional figures is the focus of the lesson. After working with the Pythagorean Theorem to find missing side...
Handout
Charleston School District

The Distance Between Points

For Students 8th - 10th Standards
Find the shortest distance from A to B using the Pythagorean Theorem! Scholars learn they can find the distance between two points by creating a right triangle using the horizontal and vertical lengths and applying the Pythagorean...
Lesson Plan
Willow Tree

Midpoint and Distance Formulas

For Students 8th - 11th Standards
The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula. 
Handout
Del Mar College

Formulas for Elementary and Intermediate Algebra

For Students 6th - 9th Standards
Give your scholars the support they need to work with formulas. A reference page offers definitions and picture examples of perimeter, area, surface area, volume, the Pythagorean theorem, a variety of shapes, and more. 
Handout
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Alaska Department of Education

Mathematics Reference Sheet

For Teachers 5th - 10th Standards
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
Lesson Plan
Willow Tree

Perimeter of Common Geometric Figures

For Students 8th - 11th Standards
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
Handout
Curated OER

Word Problems Review Sheet

For Students 11th - 12th
Word problems can make even expert mathematicians go blank. Practice solving word problems with an extended version of the GUESS method (givens, unknowns, equations, solve, substitute), which adds the steps of drawing a diagram, making...
Handout
Math Warehouse

Math Warehouse: Pythagorean Theorem

For Students 9th - 10th Standards
Resource takes a look at how to use the Pythagorean Theorem. Includes formulas, examples, animations, and practice problems.
Handout
Purple Math

Purplemath: The Pythagorean Theorem

For Students 9th - 10th Standards
Defines the Pythagorean Theorem, and demonstrates how to use this Theorem in connection with right-angled triangles.
Handout
Wolfram Research

Wolfram Math World: Pythagorean Triple

For Students 9th - 10th Standards
This site provides extensive information about Pythagorean triples. It begins by explaining its relation to the Pythagorean theorem, and then gives ways to generate Pythagorean triples using relatively prime numbers and Fibonacci numbers.
Handout
National Council of Teachers of Mathematics

The Math Forum: Vector Length

For Students 9th - 10th Standards
Describes how to use the Pythagorean Theorem to find the length, or magnitude, of a vector.
Handout
Purple Math

Purplemath: Distance Formula

For Students 9th - 10th Standards
A concise presentation of a lesson showing how the Distance Formula is really just the Pythagorean Theorem, and how it can be used to find the distance between two sets of coordinates.