Unit Plan
Math Is Fun

Math Is Fun: Pythagoras' Theorem

For Students 9th - 10th Standards
This resource investigates the Pythagorean Theorem. Includes animations, examples, proofs, and links to problems and activities.
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...
Unit Plan
Shmoop University

Shmoop: Basic Geometry: Pythagorean Theorem

For Students 9th - 10th Standards
Students learn about the Pythagorean Theorem. Notes, practice problems, and examples are included in the geometry resource.
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.
Study Guide
Other

New York State Education Department: Eighth Grade Math, Book One (2006) [Pdf]

For Students 7th - 9th
Part one of three; The March 2006 8th grade Math test from the State of New York. The test is 27 multiple choice questions dealing with topics such as algebra (translating into algebraic terms, simplifying expressions, evaluating...
Unknown Type
Other

New York State Education Department: Eighth Grade Math, Book Two (2010) [Pdf]

For Students 8th
Part two of three; The March 2010 8th grade Math test from the State of New York. The test is six open-response questions covering topics such as geometry (intersecting / parallel lines, Pythagorean Theorem), measurement (maps), and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Ask the Pilot

For Teachers 9th - 10th Standards
In the July 2013 issue of United Airlines' Hemisphere Magazine, a pilot responded to a question about how far in the distance he could see at different altitudes. The solution involved right triangles, lines of tangency to a circle, and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Explaining the Equation for a Circle

For Teachers 9th - 10th Standards
This problem examines equations defining different circles in the x-y plane. Students must use the Pythagorean Theorem to find equations whose solutions are points on the circle and explain why they work. Includes a GeoGebra worksheet...
Lesson Plan
Thinkport Education

Math by Design: Pythagorean Theorem [Pdf]

For Teachers 9th - 10th Standards
Use right angle concepts to solve problems amid geometric relationships.
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.
Handout
Math Open Reference

Math Open Reference: Biography of Pythagoras

For Students 9th - 10th
Biography of Greek mathematician, Pythagoras, who lived from 569 BC to approximately 475 BC. His theory, known as the Pythagorean Theorem continues to be of interest to mathematicians and has more than 400 different proofs.
Unit Plan
Wolfram Research

Wolfram Math World: Right Triangle

For Students 9th - 10th Standards
This site from MathWorld.com offers extensive information on right triangles. The site contains information on numerous characteristics of right triangles, including constructing similar inscribed triangles, altitudes, Pythagorean...
Activity
Analyze Math

Analyze Math: Triangle Problems

For Students 9th - 10th Standards
Here are five triangle problems to solve using the Law of Sines, Law of Cosines, Pythagorean Theorem, and trigonometry. All problems have detailed written solutions included.
Handout
Texas A&M University

Texas a & M University: Pythagoras and the Pythagoreans

For Students 9th - 10th
A biography of Pythagoras, his school, his teachings, and the history of his approach to mathematics. Includes many formulas connected to Pythagoras.
eBook
CK-12 Foundation

Ck 12: Interactive Middle School Math 8 for Ccss

For Students 8th
A complete CCSS Grade 8 Mathematics course that includes interactives in every lesson, plus videos, hands-on activities, and questions with immediate feedback. Every lesson also has specifically chosen 'Related Modalities' that teach the...
Activity
Harvey Mudd College

Mudd Math Fun Facts: Football Field

For Students 9th - 10th
Here is a math problem using a football field as its basis. The solution to the problem involves the Pythagorean theorem.
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...
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.
Interactive
Mangahigh

Mangahigh: Pyramid Panic: Basic Shapes to Advanced Geometry

For Students 9th - 10th Standards
Guide a mummy safely through the burial chambers of a pyramid as you solve length and area problems in basic to advanced geometry. There are four game zones that deal with circles and triangles, quadrilaterals, the Pythagorean Theorem,...
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.
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
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 1

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, learners can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 2

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.