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Math Is Fun
Math Is Fun: Pythagoras' Theorem
This resource investigates the Pythagorean Theorem. Includes animations, examples, proofs, and links to problems and activities.
PBS
Pbs Learning Media: Formulas: Targeted Math Instruction
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...
Shmoop University
Shmoop: Basic Geometry: Pythagorean Theorem
Students learn about the Pythagorean Theorem. Notes, practice problems, and examples are included in the geometry resource.
Wolfram Research
Wolfram Math World: Pythagorean Triple
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.
Other
New York State Education Department: Eighth Grade Math, Book One (2006) [Pdf]
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...
Other
New York State Education Department: Eighth Grade Math, Book Two (2010) [Pdf]
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...
Illustrative Mathematics
Illustrative Mathematics: G Srt Ask the Pilot
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...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Explaining the Equation for a Circle
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...
Thinkport Education
Math by Design: Pythagorean Theorem [Pdf]
Use right angle concepts to solve problems amid geometric relationships.
National Council of Teachers of Mathematics
The Math Forum: Drexel Math Forum: Pythagorean Theorem
Dr. Math explains how to find distances indirectly by using the Pythagorean theorem.
Math Open Reference
Math Open Reference: Biography of Pythagoras
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.
Wolfram Research
Wolfram Math World: Right Triangle
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...
Analyze Math
Analyze Math: Triangle Problems
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.
Texas A&M University
Texas a & M University: Pythagoras and the Pythagoreans
A biography of Pythagoras, his school, his teachings, and the history of his approach to mathematics. Includes many formulas connected to Pythagoras.
CK-12 Foundation
Ck 12: Interactive Middle School Math 8 for Ccss
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...
Harvey Mudd College
Mudd Math Fun Facts: Football Field
Here is a math problem using a football field as its basis. The solution to the problem involves the Pythagorean theorem.
National Council of Teachers of Mathematics
The Math Forum: Famous Problems in the History of Mathematics
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...
National Council of Teachers of Mathematics
The Math Forum: Vector Length
Describes how to use the Pythagorean Theorem to find the length, or magnitude, of a vector.
Purple Math
Purplemath: Distance Formula
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.
Mangahigh
Mangahigh: Pyramid Panic: Basic Shapes to Advanced Geometry
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,...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Squares on a Coordinate Grid
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.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Triangle Perimeters
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...
Illustrative Mathematics
Illustrative Mathematics: F Tf Special Triangles 1
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.
Illustrative Mathematics
Illustrative Mathematics: F Tf Special Triangles 2
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.