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Lesson Plan
Curated OER

What Is Hyperbolic Geometry?

For Teachers 9th - 10th
Ninth graders discuss the concept of hyperbolic geometry. They complete Internet geometry activities and write essays comparing and contrasting hyperbolic geometry to Euclidean geometry.
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Unit Plan
University of California

Euclidean Geometry

For Teachers 9th - 12th
Go back to where it all began! Investigate how axiomatic systems and Euclidean geometry are based on undefined terms, common notions, postulates, and propositions by examining passages from Euclid's Elements. (Social studies teachers...
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Unit Plan
Texteam Geometry Institute

Geometry for the High School Classroom

For Teachers 9th - 12th
What does it mean for apples to have chirality? This and other explorations in geometry, such as tiling the plane, boxing a tetrahedron, and investigating Euclid's Characteristic, are included in this resource on Euclidean geometry....
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Worksheet
Curated OER

Multivariable Calculus: Euclidean Geometry

For Students Higher Ed
In this Euclidean geometry instructional activity, students determine if planes are parallel or perpendicular to each other. They identify the vector position. This two-page instructional activity contains definitions, examples and...
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Lesson Plan
Curated OER

Spherical Geometry: A Global Perspective

For Teachers 3rd - 12th
Students investigate spherical geometry using a globe and an apple. In this spherical geometry lesson plan, students translate Euclidean geometry terms to spherical geometry terms using a globe. They answer 3 questions about spherical...
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Lesson Plan
Harvard University

The Nouns of Geometry

For Teachers 9th - 12th
Socratic questioning to teach Euclidean geometry? "The Nouns of Geometry," followed by "The Verbs of Geometry," and the misfit, "A Beginner's Story - The Equilateral Triangle" are designed to encourage learners to explore various topics...
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Worksheet
Curated OER

Euclidean Geometry

For Students 9th - 12th
In this Euclidean geometry worksheet, students use a straight edge and a compass to create constructions that are possible with Euclid's Postulates. This one-page worksheet contains two construction problems.
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Lesson Plan
Curated OER

Euclidean Direct Proofs

For Teachers 9th - 10th
Learning how to prove theorems in geometry can be challenging. This resource explains what a proof is, and the different styles for proofs. It also contains links to web-based practice problems that help guide learners though example...
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Lesson Plan
Curated OER

NON-EUCLIDEAN GEOMETRY.

For Teachers 8th - 9th
Students study relationships between angles, side lengths, perimeters, areas and volumes of similar objects. In this lesson students also create and critique inductive and deductive arguments concerning congruency, similarity and the...
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Lesson Plan
Curated OER

Exploring Geometry on the Sphere

For Teachers 9th - 10th
In this geometry worksheet, students define important vocabulary dealing with circles. They measure cricles to the nearest degree. There are 11 word problems to be solved.
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Worksheet
Curated OER

Quiz: Direct Euclidean Proofs

For Students 10th - 12th
In this Euclidean proof learning exercise, students observe models and read given proofs. Students determine conclusions based upon the given information. This one-page learning exercise contains ten Euclidean proof problems.
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Unit Plan
Massachusetts Department of Education

Similarity through Transformations

For Teachers 9th - 12th Standards
Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...
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Lesson Plan
Illustrative Mathematics

Regular Tessellations of the Plane

For Teachers 9th - 11th Standards
Bringing together the young artists and the young organizers in your class, this lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...
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Worksheet
Curated OER

Indirect Euclidean Proofs

For Students 10th
In this Euclidean proofs worksheet, 10th graders solve 10 different problems that include completing indirect Euclidean proofs. First, they write a statement for each of the reasons listed on the sheet of proofs. Then, students solve the...
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Worksheet
Curated OER

Indirect Euclidean Proofs

For Students 7th - 8th
In this indirect Euclidean proof worksheet, students write statements supporting the reasons for a given proof. This one-page worksheet contains ten problems.
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Lesson Plan
Curated OER

Introduction to Parallel Lines in Euclidean Space and in Spherical Space

For Teachers 8th
Eighth graders are introduced to the basic concepts of Geometry and their definitions in Euclidean space. They draw and define the following terms: point, line, and line segment. Students also define the terms colliner and...
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Worksheet
Curated OER

Euclidean Proofs involving Triangles and Circles (Congruency Proofs)

For Students 10th
In this geometry activity, 10th graders focus on Euclidean proofs involving triangles and circles.  The eight page activity contains eight proofs.  Solutions are not provided. 
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Lesson Plan
Curated OER

Duplicating Segments and Angles

For Teachers 10th
Tenth graders investigate geometric construction.  In this geometry lesson plan, 10th graders explore the procedure for copying an angle and a segment.  The lesson plan emphasizes the difference between a sketch, a drawing, and a...
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Worksheet
Curated OER

The Right Angle

For Students 10th
In this geometry worksheet, 10th graders determine the answer to a vocabulary questions and then follow the give rules to place the answer in the appropriate place on the crossword grid.   The one page worksheet contains 18 questions. ...
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Lesson Plan
Curated OER

Why Does ASA Work?

For Teachers 9th - 10th Standards
Your geometry learners explore Angle-Side-Angle congruence in this collaborative task. The sum of the interior angles of all triangles being one hundred eighty degrees, is the key learners will discover as they explain their reasoning...
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Worksheet
Curated OER

Extra Problems For Homework 7: Dimension

For Students 12th - Higher Ed
In this dimension worksheet, students explore manifolds of dimension and find equivalence relations. This one-page worksheet contains three multi-step problems.
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Lesson Plan
Curated OER

Unit on Spepherical Trigonometry

For Teachers 10th
Tenth graders analyze characteristics and properties of two and three dimensional shapes. In this geometry lesson, 10th graders apply Spherical Easel Technology to help them decipher geometric shapes. They compare and contrast the 2D...
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Lesson Plan
Curated OER

Measuring the Earth

For Teachers 9th - 12th
Students use principles of geometry to measure the circumference of the Earth. In this applied geometry activity, students use mathematics to determine scientific information. They make measurements, calculate the central angle, and use...
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Lesson Plan
Curated OER

Fractals Rock

For Teachers 9th - 11th
Learners identify the repeated sequences of a pattern. In this geometry lesson, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.

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