Lesson Plan
Oswego City School District

Regents Exam Prep Center: Pythagorean Theorem

For Teachers 6th - 8th Standards
Who was Pythagoras and what is his theorem? Explore this concept and its relationship to the measurement of a right triangle in this test prep lesson plan. The lesson includes an interactive worksheet where students discover the answers...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Squares on a Coordinate Grid

For Teachers 9th - 10th Standards
The purpose of this task is to use the Pythagorean Theorem and knowledge about quadrilaterals in order to construct squares of different sizes on a coordinate grid. Aligns with G-GPE.B.7.
Unit Plan
Wolfram Research

Wolfram Math World: Distance

For Students 9th - 10th
MathWorld.com gives a formula for finding distance using the Pythagorean theorem. The formula for finding the distance between two points in Euclidean space is given on this page. The page has links to related topics.
Interactive
PBS

Pbs Learning Media: Taco Cart: A Pythagorean Journey

For Students 7th - 9th Standards
This interactive exercise uses distance and speed of travel to solve a real-life problem focusing on the Pythagorean theorem and rate of change.
eBook
Physics Classroom

The Physics Classroom: Motion and Forces in Two Dimensions: Component Addition

For Students 9th - 10th
In this physics tutorial, students learn how to approach more complex vector addition situations by combining the concept of vector components and the principles of vector resolution with the use of the Pythagorean theorem.
Lesson Plan
Alabama Learning Exchange

Alex: The Clock Tower

For Teachers 9th - 10th
This project resulted from the collaboration of a computer aided drafting teacher (pre-engineering), Chris Bond, and a math teacher, Lee Cable, (Hewitt-Trussville High School) to provide higher math expectations in CT and real life...
Activity
National Council of Teachers of Mathematics

The Math Forum: Drexel Math Forum: Pythagorean Theorem

For Students 9th - 10th
Dr. Math explains how to find distances indirectly by using the Pythagorean theorem.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Area of a Trapezoid

For Teachers 8th Standards
Eighth graders are given various dimensions of a trapezoid and are asked to find its area. This requires them to use the Pythagorean Theorem and to decompose the trapezoid into other polygons. Aligns with 8.G.B.7.
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Triangle Perimeters

For Teachers 9th - 10th Standards
Students are shown two triangles touching points on a coordinate grid and are asked to answer questions about their perimeters. The purpose of this task is to apply the Pythagorean theorem to calculate distances and areas. Aligns with...
Lesson Plan
PBS

Pbs Learning Media: Formulas: Targeted Math Instruction

For Teachers 9th - 10th Standards
At the end of this lesson plan about formulas, students will be able to identify and apply the correct formula for a given situation, solve for any unknown component of the formulas for perimeter, circumference, and area of regular and...
Interactive
Mangahigh

Mangahigh: Number: Solve Problems Using Radicals

For Students 9th - 10th Standards
Use the pythagorean theorem to solve problems with radicals.
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.
Unknown Type
Khan Academy

Khan Academy: Right Triangle Side Lengths

For Students 7th - 8th Standards
Use the Pythagorean Theorem to determine if the given side lengths could form a right triangle, i.e., which set forms a Pythagorean triple. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Distance Formula in the Coordinate Plane

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to find the distance between two points using the distance formula. Students examine guided notes, review guided practice, watch...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Distance Formula in the Coordinate Plane

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students use the Distance Formula to find the distance between two points. Students examine guided notes, review guided practice, watch instructional...
Website
National Council of Teachers of Mathematics

The Math Forum: Famous Problems in the History of Mathematics

For Students 9th - 10th
On this site, there are several math problems to explore and solve. Look through some solutions by famous mathematicians and expand your thinking about some interesting math concepts. Teachers of elementary grades may want to use this...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Shortest Line Segment From a Point P to a Line L

For Teachers 9th - 10th Standards
In this task, students develop an understanding that the shortest path from a point to a line always meets the line at a right angle. Aligns with G-SRT.C.8.
Lesson Plan
Alabama Learning Exchange

Alex: Growing in a Triangle

For Teachers 6th - 8th
Middle school students explore the Pythagorean Theorem by measuring and calculating diagonal lengths using the Pythagorean Theorem. Students view an animated proof of the Pythagorean Theorem. They access an Internet site to view and...
Activity
Texas Instruments

Texas Instruments: From a Distance, You Can See It!

For Teachers 9th - 10th
In this activity, students find the distance between points using common fractions and decimals, with the concepts of midpoint and distance. They also learn to solve problems using the Pythagorean theorem.
Activity
Texas Instruments

Texas Instruments: Going Out of Business

For Teachers 6th - 8th Standards
In this activity, students use the Pythagorean theorem to compute the diagonals of rectangles.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g, G Srt Points From Directions

For Teachers 9th - 10th Standards
For this problem, learners must carefully read the description of a triangle and a fourth point that lies outside it and draw a picture to represent the problem. They must then use the Pythagorean Theorem to find side lengths. Aligns...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Two Triangles' Area

For Teachers 8th Standards
In this task, 8th graders are given the dimensions of two isosceles triangles and are asked to compare their areas. They must draw them and use the Pythagorean Theorem and the triangle area formula to solve the problem. Aligns with 8.G.B.7.
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Square Roots Video

For Students 6th - 8th Standards
This video illustrates the concepts of square roots, slope, and the Pythagorean Theorem as they are used in designing and constructing skate park rails, ramps, and pipes. An interactive activity is also included where students are able...