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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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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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Activity
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Mrs. Burgess

End of the Year Geometry Projects

For Teachers 8th - 10th Standards
Geometry students will be ecstatic about these engaging and enlightening end-of-the-year projects! Types of project ideas include interviewing a geometer, an ABCs of geometry poster, an engineering lab report, and origami work. 
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Worksheet
Curated OER

Euclidean Geometry

For Students 9th - 12th
For 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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Worksheet
3
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K12 Reader

Basic Geometry Terms

For Students 4th - 5th Standards
Set your pupils up to start on geometry by teaching them some introductory terminology. Pupils learn the terms by reading a short passage and looking at examples. They then respond to five questions related to the text.
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Unit Plan
New York City Department of Education

Designing Euclid’s Playground

For Teachers 10th Standards
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
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Worksheet
Curated OER

Three- and Two- Dimensional Geometry

For Students 7th
In this three- and two- dimensional geometry activity, 7th graders solve 12 various problems related to geometric shapes and measurement. They first use paper and a pencil to sketch the front, side, back, top and bottom views of each...
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Lesson Plan
Curated OER

Miami Metrozoo & Mathematics

For Teachers 12th
Twelfth graders use Algebra and Geometry to solve a real life problem at the Zoo.
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Lesson Plan
EngageNY

Construct an Equilateral Triangle (part 1)

For Teachers 9th - 10th Standards
Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...
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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 instructional activity students also create and critique inductive and deductive arguments concerning congruency,...
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Lesson Plan
Curated OER

Geometry and Islam: Religious Beliefs Made Visual

For Teachers 3rd - 8th
Students examine the importance of geometric patterns in Muslim countries. Using cutout patterns, they replicate the designs seen in Islam and color them. They put their completed designs on a bulletin board to show to the school.
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Lesson Plan
Curated OER

The Centroid : Balancing the History

For Teachers 10th - 12th
Students discover the centroid of a triangle based on Euclid's constructions. They explore locus of points of a median. They understand properties of the segments that form the median and areas of the smaller sections formed by the median.
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Lesson Plan
Curated OER

Duplicating Segments and Angles

For Teachers 10th
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 construction and...
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Lesson Plan
Curated OER

Preparation and Transition to Two-Column Proofs

For Teachers 10th - 11th
Students investigate proofs used to solve geometric problems. In this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
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Lesson Plan
Curated OER

Investigating Area Using Tangrams

For Teachers 10th
Tenth graders connect the history of geometry to problem solving. In this geometry instructional activity, 10th graders investigate polygons through hands on manipulatives and solve problems relating to parallelograms and triangles. They...
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Lesson Plan
Curated OER

The Overlooked Regular Pentagon

For Teachers 10th
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry activity, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for shapes of polygons...
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Lesson Plan
Curated OER

Regular Polyhedra

For Teachers 10th
Tenth graders investigate the history of geometry and its different shapes. In this geometry lesson, 10th graders practice seeing three dimensional shapes and explain why there are only five polyhedra. They relate all the new materials...
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Lesson Plan
Curated OER

Exploring Special Lines

For Teachers 9th - 10th
Students compare and order numbers. In this geometry lesson, students write equations for inequalities. They differentiate and apply concepts of triangular properties to solve problems.
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Lesson Plan
Curated OER

Why Study Fractals?

For Teachers 9th - 12th
Students explore the concept of fractals. In this fractals lesson plan, students use the website to research where fractals occur in nature. Students research what fractals are and how fractals are used to solve real world problems.
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Lesson Plan
Curated OER

The Flat Earth

For Teachers 9th - 11th
Students differentiate between different planes. In this geometry lesson, students differentiate between a plane and a sphere. They discuss the Great Circle, Geodesic and Lune as it relates to the earth.
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Lesson Plan
Curated OER

How Many Regular Polyhedrons Are There In This or Any Universe?

For Teachers 7th - 12th
Young scholars examine the idea of "regularity" as it pertains to geometry.  For this geometry lesson students complete several assignments that are part of trihedral angles and regular polyhedrons.
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Lesson Plan
EngageNY

Thales’ Theorem

For Teachers 9th - 10th Standards
Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...
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Lesson Plan
EngageNY

Construct an Equilateral Triangle (part 2)

For Teachers 9th - 10th Standards
Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...

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