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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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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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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
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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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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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

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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Lesson Plan
Curated OER

Hey, Pythagoras! Help Me Understand Your Theorem!

For Teachers 8th - 12th
Learners explore the Pythagorean Theorem. In 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

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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Interactive
Curated OER

Radio Antenna Application of the Pythagorean Theorem Problem

For Students 8th - 10th
In this Pythagorean theorem worksheet, students solve one Pythagorean Theorem application problem concerned with the minimum length required for a radio antenna wire.  The solution is provided by clicking on the "show solution" button at...
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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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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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PPT
Curated OER

The Four-Color Problem: Concept and Solution

For Teachers 8th - 12th Standards
Take a walk through time, 1852 to 1994, following the mathematical history and development of the Four-Color Theorem. Learners take on the role of cartographers to study an imaginary world of countries that need to be mapped. One rule:...
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Lesson Plan
Curated OER

Pythagoras's Theorem

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

Pythagoras' Theorem

For Students 8th - 9th
In this Pythagorean Theorem worksheet, students use the Pythagorean Theorem to determine the length of a missing side. They calculate surface area of a prism. This two-page worksheet contains 4 multi-step problems.
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Worksheet
Curated OER

Pythagorean Theorem

For Students 9th
In this Pythagorean theorem worksheet, 9th graders solve and complete 6 various types of problems. First, they find the length of a right-angled triangle's hypotenuse. Then, students determine which triangle is described and explain...
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Worksheet
Curated OER

Pythagorean Theorem

For Students 10th
In this Pythagorean Theorem worksheet, 10th graders solve and complete 19 various types of problems. First, they draw the square shown and divide its sections as shown. Then, students cut out the 6 parts of the square and rearrange the 4...
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Worksheet
Curated OER

Pythagorean Theorem

For Students 6th
In this problem solving worksheet, 6th graders calculate the length of each missing side on 8 triangles. Students utilize the Pythagorean Theorem to calculate each side.
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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 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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Worksheet
Curated OER

Finding the Shortest Total Distance possible

For Students 10th - 11th
In this geometry worksheet, students solve the problem of finding the shortest total distance traveling in straight lines.  The solution is provided.
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Lesson Plan
Curated OER

Proving Pythagoras

For Teachers 8th - 10th
Learners prove the theorem of Pythagoras. In this Pythagorean Theorem lesson, 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

Pythagorean Theorem

For Teachers 7th - 12th
Students investigate the Pythagorean Theorem.  In this seventh through twelfth grade geometery lesson, students explore the Pythagorean Theorem and its converse and use it to find the length of the missing side of a right triangle.