University of California
Euclidean Geometry
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...
Curated OER
Multivariable Calculus: Euclidean Geometry
In this Euclidean geometry worksheet, students determine if planes are parallel or perpendicular to each other. They identify the vector position. This two-page worksheet contains definitions, examples and explanations of how to do the...
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Spherical Geometry: A Global Perspective
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...
Harvard University
The Nouns of Geometry
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...
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Euclidean Geometry
In this Euclidean geometry worksheet, learners 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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Euclidean Direct Proofs
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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NON-EUCLIDEAN GEOMETRY.
Young scholars 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...
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Exploring Geometry on the Sphere
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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Quiz: Direct Euclidean Proofs
In this Euclidean proof worksheet, students observe models and read given proofs. Students determine conclusions based upon the given information. This one-page worksheet contains ten Euclidean proof problems.
Massachusetts Department of Education
Similarity through Transformations
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...
Illustrative Mathematics
Regular Tessellations of the Plane
Bringing together the young artists and the young organizers in your class, this instructional activity takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions,...
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Indirect Euclidean Proofs
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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Indirect Euclidean Proofs
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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Introduction to Parallel Lines in Euclidean Space and in Spherical Space
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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Euclidean Proofs involving Triangles and Circles (Congruency Proofs)
In this geometry worksheet, 10th graders focus on Euclidean proofs involving triangles and circles. The eight page worksheet contains eight proofs. Solutions are not provided.
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Duplicating Segments and Angles
Tenth graders investigate geometric construction. In this geometry lesson, 10th graders explore the procedure for copying an angle and a segment. The lesson emphasizes the difference between a sketch, a drawing, and a...
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The Right Angle
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...
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Why Does ASA Work?
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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Extra Problems For Homework 7: Dimension
For 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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Measuring the Earth
High schoolers use principles of geometry to measure the circumference of the Earth. For this applied geometry lesson, students use mathematics to determine scientific information. They make measurements, calculate the central...
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Fractals Rock
Students identify the repeated sequences of a pattern. In this geometry lesson plan, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.
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Fractals Rock: Investing the Fractal Tree
Young scholars investigate the relationship between fractals and sequences. In this geometry lesson, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
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Koch Snowflake
Students investigate Koch's Snowflake. In this geometry instructional activity, students identify the properties of creating Koch's snowflake. They solve problems dealing with fractals and patterns.
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Fractals: Koch Snowflake
Students investigate the properties of Koch's snowflake. In this geometry lesson, students investigate fractals and patterns. They create Koch's snowflake using Cabri software.