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Workbook
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University of Utah

Geometry: Angles, Triangles, and Distance

For Students 8th Standards
The Pythagorean Theorem is a staple of middle school geometry. Scholars first investigate angle relationships, both in triangles and in parallel lines with a transversal, before proving and applying the Pythagorean Theorem.
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Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Neighborhood Map

For Students 8th - 12th Standards
Find the distance between various locations in a neighborhood. Scholars use the interactive to find distances between locations on a map. The map is overlaid onto a grid to provide coordinates for each location, and pupils apply...
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Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Distance Between Friends

For Students 8th - 12th Standards
Pupils use an interactive to help visualize the right triangles needed to calculate distances between friends' houses. Individuals solve five problems on how to determine distances and comparing the distances.
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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 lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity. 
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Lesson Plan
2
2
Illustrative Mathematics

Shortest Line Segment from a Point P to a Line L

For Teachers 9th - 11th Standards
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the class...
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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, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...
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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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Handout
2
2
EEWeb

Geometry: Shapes and Solids

For Teachers 6th - 10th Standards
An excellent resource for a geometry class, as well as for an electrical engineering course. A thorough reference sheet covers geometric shapes such as triangles, parallelograms, and circles, as well as 3-D shapes and the Pythagorean...
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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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Worksheet
Curated OER

Volume of Solids

For Students 10th
In this volume of solids activity, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
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Lesson Plan
Curated OER

History / Introduction of Pythagorean Theorem

For Teachers 7th - 12th
Learners explore Pythagoras and the history behind his theorem. They work together to solve a proof that is embedded in the lesson.
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Interactive
Curated OER

The Pythagorean Theorem

For Students 10th
For this geometry worksheet, 10th graders answer questions about right triangles by identifying the 3 sides of the triangle. They analyze the different shapes of polygons and relate them to right triangles to find the sides using the...
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Assessment
Charleston School District

Pre-Test Unit 8: Geometry Applications

For Students 8th Standards
What does a squared and b squared make? C squared of course! The pre-test assesses eighth graders' knowledge of the Pythagorean Theorem, application of the Pythagorean Theorem, and finding volumes of solids. 
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Assessment
Charleston School District

Review Unit 8: Geometry Applicaitons

For Students 8th - 10th Standards
Pupils complete a review worksheet that highlights the key problems from the first eight lessons in the series. Topics include the Pythagorean Theorem and its converse, as well as finding volume of three-dimensional figures.
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Interactive
Curated OER

Pythagorean Theorem Worksheet

For Students 10th
In this geometry worksheet, 10th graders use the Pythagorean Theorem to find the length of the unknown side of the right triangle. The one page interactive worksheet contains twelve questions. Answers and hints are included. 
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Assessment
Mathematics Assessment Project

Geometry

For Students 7th - 8th Standards
Help learners find joy in facing mathematical challenges. The questions posed on this worksheet encourage young mathematicians to utilize skills learned throughout a geometry unit, and to apply themselves and persevere through problem...
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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 Practice

For Teachers 7th - 10th
In this geometry skills worksheets, pupils examine 10 triangles and use the Pythagorean theorem to identity the lengths of the missing units.
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Lesson Plan
Curated OER

Pythagorean Theorem: Triangles and Their Sides

For Teachers 8th - 10th
Students 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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Worksheet
Curated OER

Pythagorean Theorem

For Students 8th - 10th
In this Pythagorean Theorem instructional activity, students explore examples and explanations about the Pythagorean Theorem. Afterward, they apply the Pythagorean Theorem to models and real world story problems. This ten-page...
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Worksheet
Curated OER

Pythagorean Theorem

For Students 8th - 9th
In this Pythagorean Theorem worksheet, students determine the length of a missing side of triangles. They read story problems, draw diagrams, and use the Pythagorean Theorem to solve real life problems. This one-page worksheet contains...
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Assessment
Inside Mathematics

Patterns in Prague

For Teachers 8th Standards
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
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Worksheet
Curated OER

Informal Geometry

For Students 8th - 12th
Middle and high schoolers solve and complete 29 various types of problems. First, they match each name with its correct formula. Then, students find the length of the missing side and the distance between the two points given. In...
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Lesson Plan
Curated OER

Investigating the Pythagorean Theorem

For Teachers 11th - 12th
Students problem solve a series of problems based on the Pythagorean Theorem. They apply the theorem to a number of scenarios.

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