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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
Shodor Education Foundation

Pythagorean Theorem

For Teachers 8th - 10th Standards
Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...
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Lesson Plan
Curated OER

Applying the Pythagorean Theorem to find Distances Between Cities

For Teachers 8th - 10th
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the Pythagorean Triple and use it to solve real life problems.
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Lesson Plan
Curated OER

Pythagorean Theorem by Graphic Manipulation

For Teachers 7th - 9th
There are many different ways to show a proof of the Pythagorean Theorem.  Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
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Lesson Plan
EngageNY

Informal Proof of the Pythagorean Theorem

For Students 8th Standards
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths...
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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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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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Lesson Plan
Curated OER

Proof of the Pythagorean Theorem Using Transformations

For Teachers 9th - 12th Standards
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
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Lesson Plan
EngageNY

Applications of the Pythagorean Theorem

For Students 8th Standards
Examine the application of the Pythagorean Theorem in problem-solving questions. Pupils apply the theorem to find lengths when given different scenarios. They finish the 17th installment in an 18-part series by applying the theorem to...
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Lesson Plan
Curated OER

Time Dilation and Geometry

For Teachers 9th - 10th
Students solve problems of dilation and velocity. In this geometry lesson, students apply the Pythagorean Theorem to solve problems and relate it to time and velocity.
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Lesson Plan
EngageNY

Applications of the Pythagorean Theorem

For Students 8th Standards
Begin seeing the world through the lens of geometry! Use the 19th installment in a 25-part module to apply the Pythagorean Theorem to solve real-world problems. Individuals sketch situations resulting in right triangles such as the...
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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 7th - 8th
Students discover the Pythagorean Theorem.  In this discovering the Pythagorean Theorem lesson plan, students measure the lengths of various triangles to the nearest centimeter. Students record their measurements in a table.  Students...
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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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Lesson Plan
Curated OER

Principles of Square Roots Lesson Plan

For Teachers 8th - 11th
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson plan, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude,...
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Lesson Plan
Curated OER

Geometric Properties

For Teachers 9th - 12th
Students find triangular angles using the angle theorem. In this geometry lesson, students describe labeled triangles, use the pythagorean theorem, and rewrite information about triangles in standard form.
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Lesson Plan
Curated OER

Pythagorean Theorem: Triangles and Their Sides

For Teachers 8th - 10th
Learners investigate triangles and their relationship to each other. In this geometry lesson, students solve right triangles using the properties of the Pythagorean Theorem. They differentiate between right, acute, straight and oblique...
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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.
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Lesson Plan
Curated OER

Why use the Pythagorean Theorem?

For Teachers 8th
Eighth graders explore the Pythagorean Theorem.  In this middle school geometry activity, 8th graders solve problems using the Pythagorean Theorem as they explore the definition of a theorem and attempt to determine the formula for the...
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Lesson Plan
Curated OER

Application of the Pythagorean Theorem

For Teachers 9th - 10th
Students find the length of the hypotenuse using the Pythagorean Theorem. In this geometry lesson, students solve for the different parts of a right triangle. They work the first problem with-the teacher then work on their own.
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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 9th - 10th
Students solve problems using the Pythagorean Theorem. For this geometry lesson,students identify the right angle, hypotenuse and legs of a right triangle. They find the missing sides using the ratios of the Pythagorean theorem.
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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 9th - 10th
Students solve problems using the Pythagorean Theorem. In this geometry activity, students identify different parts of a right triangle. They use the Pythagorean Theorem to calculate missing angles and sides.
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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 7th - 10th
Students find the different ratios of a triangle. In this geometry lesson, students use the Pythagorean Theorem to solve for missing sides and angles on a right triangle. They use a robot to create a right triangle.
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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 7th - 8th
Pupils explore the history of Pythagoras and his contributions to mathematics. In this middle school geometry lesson, students use one inch tiles to investigate the Pythagorean Theorem and to find the length of the sides of a right...
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Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 9th - 11th
Students solve problems using the Pythagorean Theorem. In this geometry lesson plan, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.

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