Curated OER
What Is Hyperbolic Geometry?
Ninth graders discuss the concept of hyperbolic geometry. They complete Internet geometry activities and write essays comparing and contrasting hyperbolic geometry to Euclidean geometry.
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...
Texteam Geometry Institute
Geometry for the High School Classroom
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....
Curated OER
Multivariable Calculus: Euclidean Geometry
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...
Curated OER
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 topics...
Curated OER
Euclidean Geometry
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.
Curated OER
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...
Curated OER
NON-EUCLIDEAN GEOMETRY.
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...
Curated OER
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.
Curated OER
Quiz: Direct Euclidean Proofs
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.
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 lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...
Curated OER
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...
Curated OER
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.
Curated OER
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...
Curated OER
Euclidean Proofs involving Triangles and Circles (Congruency Proofs)
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.
Curated OER
Duplicating Segments and Angles
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...
Curated OER
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 questions. ...
Curated OER
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...
Curated OER
Extra Problems For Homework 7: Dimension
In this dimension worksheet, students explore manifolds of dimension and find equivalence relations. This one-page worksheet contains three multi-step problems.
Curated OER
Unit on Spepherical Trigonometry
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...
Curated OER
Measuring the Earth
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...
Curated OER
Fractals Rock
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.