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Lesson Plan
Curated OER

Flying with Pythagoras

For Teachers 7th - 10th
A lengthy narrative about Pythagoras and his young scholars precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided. 
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Lesson Plan
Curated OER

Pythagoras' Theorem

For Teachers 8th - 12th
Students are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Students state and explain the theory.
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Lesson Plan
Curated OER

Learning Unit: The Pythagorean Theorem

For Teachers 8th - 10th
Middle and high schoolers research the life of Pythagoras and the Pythagorean theorem. They write a short biography of Pythagoras and learn to apply the theorem in their study of right triangles.
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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 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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Assessment
Balanced Assessment

Refiguring Pythagoras

For Students 6th - 8th
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
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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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Lesson Plan
Curated OER

Proving Pythagoras

For Teachers 8th - 10th
Students prove the theorem of Pythagoras. In this Pythagorean Theorem lesson plan, students define the different parts of a right triangle. They use the Pythagorean Theorem to solve for the missing sides and angles of a right triangle.
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Lesson Plan
Curated OER

Getting It Right!

For Teachers 6th - 8th
Pupils construct right triangles, measuring the sides and recording the measurements in spreadsheets. They analyze their measurements for patterns and research the Internet for information on Pythagoras.
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Assessment
Mathed Up!

Pythagoras' Theorem

For Students 7th - 10th Standards
Use a right method to find a distance. Given a right triangle, class members find the length of one side given the measurement of the other two sides—the missing side may or may not be the hypotenuse. A video reminds the pupils how to...
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Lesson Plan
Curated OER

Proving (a Theorem) and Disproving (a Theory)

For Teachers 7th - 12th
As a cross-curricular lesson, your class examines the issues of gender discrimination, careers, and gender roles. They read and discuss an article, prepare a proof of the Pythagorean theorem as a class, and develop a creative...
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Worksheet
Curated OER

Pythagoras' Theorem

For Students 6th - 7th
In this triangles worksheet, students solve 40 problems in which Pythagoras' theorem is used to check if a triangle is right-angled. This page is intended for online use but may be completed on paper.
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Worksheet
Curated OER

Pythagoras' Theorem

For Students 5th - 10th
In this Pythagoras' Theorem worksheet, students solve problems having to do with square roots and numbers to a certain power. Students match up the answers for 30 problems.
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Lesson Plan
Curated OER

Hey, Pythagoras! Help Me Understand Your Theorem!

For Teachers 8th - 12th
Learners explore the Pythagorean Theorem. For this math lesson, pupils solve problems using the Pythagorean Theorem. They select the appropriate numbers to substitute in the formula to solve problems.
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Worksheet
Curated OER

Practicing Pythagoras

For Students 6th - 8th
In this math learning exercise, learners practice answering the questions for finding the hypotenuse of the given triangles while using the Pythagorean Theorem.
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Worksheet
Curated OER

Problems in Context

For Students 6th - 11th
In this Pythagoras' Theorem worksheet, students read through an explanation of how to solve problems with Pythagoras' Theorem and answer 4 questions in the explanation. Then, students use Pythagoras' Theorem to answer 6 problems. They...
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Lesson Plan
Curated OER

Gougu Rule or Pythagoras' Theorem

For Teachers 5th
Fifth graders explore Pythagoras' Theorem. They examine the pattern linking the length of the hypotenuse of a right angled triangle and the length of the other two sides. Students find an unknown side in right angled triangles.
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Assessment
Mathed Up!

3-D Pythagoras

For Students 9th - 12th
Apply the Pythagorean Theorem in three-dimensional shapes. Young mathematicians watch a video that takes them through several examples of using the Pythagorean Theorem to solve problems involving lengths in three-dimensional figures. A...
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Lesson Plan
Curated OER

Poppy Meets Pythagoras

For Teachers 8th
Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...
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Lesson Plan
EngageNY

Ptolemy's Theorem

For Teachers 9th - 12th Standards
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
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Assessment
Inside Mathematics

Rugs

For Teachers 8th Standards
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
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Lesson Plan
Curated OER

Pythagoras's Theorem

For Teachers 5th - 6th
Students explore Pythagoras' Theorem. In this geometry lesson, students complete 4 pages of equations using Pythagoras's Theorem. Students complete 14 problems.
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Lesson Plan
Curated OER

Picking Pythagoras

For Teachers 6th - 9th
Learners discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
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Lesson Plan
Curated OER

Getting it Right! An Investigation of the Pythagorean Theorem

For Teachers 5th - 8th
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...

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