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Worksheet
Curated OER

The Pythagorean Theorem

For Students 10th
In this geometry worksheet, 10th graders use the Pythagorean Theorem to determine the length of the third side of a right triangle given the length of any two sides.  The three page worksheet contains a combination of seventeen multiple...
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Lesson Plan
Curated OER

Charting a New Course

For Teachers 9th - 11th
Young scholars calculate the distance they will travel. In this geometry lesson, students use the TI and CBL system to make calculation of a certain path. They explore geography by calculating distances between different areas as it...
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Handout
Charleston School District

Pythagorean Theorem and Converse

For Students 8th Standards
You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...
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Lesson Plan
West Contra Costa Unified School District

Pythagorean Theorem and Its Converse

For Teachers 9th - 12th Standards
Challenge scholars to prove the Pythagorean Theorem geometrically by using a cut-and-paste activity. They then must solve for the missing sides of right triangles.
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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
Curated OER

Number Sense: Real Numbers

For Teachers 6th - 12th Standards
Using a scientific calculator and an 11-page guide sheet, middle schoolers investigate real numbers and problem-solving properties. The publisher links this resource to Common Core standard for seventh grade math, but you may find it a...
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Lesson Plan
EngageNY

Criterion for Perpendicularity

For Students 9th - 12th Standards
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and...
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Worksheet
Curated OER

Mnemonics to Remember Your Trig Ratios

For Students 10th - 12th
In this calculus worksheet, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.
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Lesson Plan
Curated OER

Distance Formula

For Teachers 1st - 11th
Students calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
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Worksheet
Curated OER

The Geometry of Solids

For Students 8th - 10th
In this solids worksheet, students compute the volume of prisms, cylinders, pyramids, spheres and cones.  This seven-page worksheet contains approximately 68 problems. 
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Worksheet
Curated OER

Similar Right Triangles-Introductions to Trigonometry

For Students 9th - 10th
In this geometry worksheet, students examine similar right triangles as the basis for the foundation of trigonometry. Students define the basic trigonometric functions and use a calculator to find the trigonometric value of an angle. The...
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Lesson Plan
Curated OER

Geometry: Lesson 10

For Teachers 8th
Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.
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Lesson Plan
Curated OER

The Pythagorean Theorem, the Distance Formula, and Slope

For Teachers 9th - 12th
Students explore the concept of the Pythagorean Theorem. For this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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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

The Geometry of Means

For Teachers Higher Ed
In this geometry worksheet, students are given a rectangle and a square. They verify ratios when given equal perimeters or areas. Students are given adjacent squares. They find the distance between the centers, and identify the means...
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Lesson Plan
Curated OER

Unit Circle and Triangle

For Teachers 9th - 11th
Students apply the Unit Circle to solve ratios of triangles. In this geometry lesson, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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Lesson Plan
Curated OER

Sled Kites and Trigonometry

For Teachers 9th - 12th
Students study the history of kites and their fundamental properties.  In this kites lesson students divide into teams and build and fly kites. 
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Worksheet
Curated OER

The Pythagorean Theorem

For Students 9th - 11th
In this geometry learning exercise, students solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.
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Lesson Plan
Curated OER

This Building is Tall

For Teachers 9th - 12th
Students calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
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Lesson Plan
Curated OER

Trig is SOH Easy!

For Teachers 7th - 10th
Students derive the six trigonometric identities. In this trigonometry lesson, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent ratios.
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Worksheet
Curated OER

Seventeen Math Regents Exam Pythagorean Theorem Questions

For Students 8th - 10th
In this Pythagorean Theorem activity, students solve seventeen Math Regents Exam questions using the Pythagorean Theorem.  The solutions are provided.
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Lesson Plan
Curated OER

Amazing Consistent Ratios

For Teachers 7th - 9th
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.