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Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 8

For Students 7th - 9th Standards
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire and...
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Lesson Plan
Curated OER

Getting It Right! An Investigation of the Pythagorean Theorem

For Teachers 6th - 8th
Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...
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Instructional Video12:58
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2
Flipped Math

Pythagorean Theorem and Its Converse

For Students 9th - 12th Standards
Make sure it is all right in class. Pupils review the Pythagorean Theorem and find sides of right triangles, either by simplifying radicals or using calculators to find approximate lengths. Learners find out how to use the converse to...
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Activity
Under the Dome

The Pythagoras Tree

For Students 8th Standards
View a tree designed by Pythagoras. Pupils watch a video as a tree is built by using squares representing the side lengths of a right triangle, with each side of the squares becoming the side of another triangle. Learners come up with...
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Instructional Video4:23
Corbett Maths

Showing a Triangle Is Right Angled

For Students 7th - 12th Standards
Determine whether it is right or not. Using the Pythagorean Theorem, the video shows how to determine whether a triangle is a right triangle. Pupils practice the skill in a few of the problems in the associated worksheets on the...
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Assessment
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1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Target H

For Teachers 8th Standards
Pythagoras is all about being right. A presentation provides sample items for how the Pythagorean Theorem standards may show up in Smarter Balanced assessments. Seven items use the Pythagorean Theorem to find the sides of a right...
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Instructional Video6:29
Corbett Maths

Pythagoras Rectangles and Isosceles Triangles

For Students 7th - 12th Standards
When does the Pythagorean Theorem come in handy? An intriguing video uses the Pythagorean Theorem to solve problems other than simply finding the length of a side of a right triangle. Pupils find the diagonal of a rectangle and the...
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Instructional Video9:23
Corbett Maths

3D Pythagoras

For Students 6th - 12th Standards
Calculate one hypotenuse then repeat. The resource provides a variety of ways for finding the length of the diagonal in a prism. Using the Pythagorean Theorem, pupils find a variety of distances in 3-D figures. The distances range from...
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Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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Interactive
Shodor Education Foundation

Pythagorean Explorer

For Students 6th - 12th Standards
Make sure the measurement is right. The interactive provides right triangles with a missing side measurement. Pupils use the given sides and the Pythagorean Theorem to calculate the length of the missing side. After entering the length,...
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Interactive
CK-12 Foundation

Solving Equations Using the Pythagorean Theorem: Cryptography

For Students 8th - 10th Standards
Don't keep this resource a secret. Individuals learn to use the Pythagorean Theorem to find Pythagorean triples. They also see how Pythagorean triples can be useful in the field of cryptography to encrypt secret messages.
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Interactive
CK-12 Foundation

Identifying Sets of Pythagorean Triples: The iPad is a Pythagorean Triple

For Students 8th - 12th Standards
Compare iPad and HDTV aspect ratios. Individuals use the interactive to determine whether the measurements of screens represent a Pythagorean triple. The pupils determine what changes are needed to make a Pythagorean triple.
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Interactive
CK-12 Foundation

Identifying Sets of Pythagorean Triples: Matching Problem

For Students 8th - 12th Standards
What sets of whole numbers make up the measures of side lengths in right triangles? Pupils use an interactive triangle to learn about Pythagorean triples. Individuals find missing values in triples and learn more about Pythagorean...
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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...
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Lesson Plan
EngageNY

Systems of Equations Leading to Pythagorean Triples

For Teachers 8th Standards
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
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Lesson Plan
EngageNY

The Power of Algebra—Finding Pythagorean Triples

For Students 10th - 12th Standards
The Pythagorean Theorem makes an appearance yet again in this instructional activity on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity. 
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Assessment
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Mathematics Assessment Project

College and Career Readiness Mathematics Test C2

For Students 9th - 12th
Scholars apply knowledge learned over their high school math courses in order to determine their college readiness. The 20-page resource emphasizes applied problem solving.
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Lesson Plan
EngageNY

Trigonometry and the Pythagorean Theorem

For Students 9th - 11th Standards
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
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Assessment
Mathematics Assessment Project

Pythagorean Triples

For Students 8th - 10th Standards
What special relationships exist in right triangles? In the high school performance task, learners investigate Pythagorean triples. They then determine rules for the perimeter and area of right triangles given the shortest side.
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Lesson Plan
Curated OER

A Fibonacci Primer

For Teachers 7th - 10th
Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.
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Lesson Plan
Curated OER

Pythagorean Triples

For Teachers 9th - 12th Standards
Teach how to solve problems with right triangles. Students use the Pythagorean Theorem to identify missing sides and angles. Then, they will define and use the Pythagorean Triples to solve problems.
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Lesson Plan
Curated OER

The Proof of the Century!

For Teachers 7th - 12th
Young scholars do Web research in the field of mathematics. They explore mathematical proofs and apply them to the Pythagorean theorem. They also explore the general ideas of Fermat's Last Theorem
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Interactive
Curated OER

Pythagorean Theorem Worksheet

For Students 9th - 12th
In this online math worksheet, students use the Pythagorean Theorem to determine if given triangles are "right" triangles. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
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Lesson Plan
Curated OER

Investigating Pythagorean Triples

For Teachers 9th - 10th
Students investigate and solve Pythagorean triples. In this geometry lesson, students find the missing sides and angles of a right triangle. They graph right triangles and move the sides around to create different angles.