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6.1 Area and Surface Area (Teacher Materials).
Unrestricted Use
CC BY
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In this unit, students learn to find areas of polygons by decomposing, rearranging, and composing shapes. They learn to understand and use the terms “base” and “height,” and find areas of parallelograms and triangles. Students approximate areas of non-polygonal regions by polygonal regions. They represent polyhedra with nets and find their surface areas.

Subject:
Geometry
Mathematics
Material Type:
Unit of Study
Provider:
Illustrative Mathematics
Date Added:
05/11/2020
Analyzing Congruence Proofs
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CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to: work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles; Identify and understand the significance of a counter-example; Prove, and evaluate proofs in a geometric context.

Subject:
Geometry
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Are Random Triangles Acute or Obtuse?
Conditional Remix & Share Permitted
CC BY-NC-SA
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This learning video deals with a question of geometrical probability. A key idea presented is the fact that a linear equation in three dimensions produces a plane. The video focuses on random triangles that are defined by their three respective angles. These angles are chosen randomly subject to a constraint that they must sum to 180 degrees. An example of the types of in-class activities for between segments of the video is: Ask six students for numbers and make those numbers the coordinates x,y of three points. Then have the class try to figure out how to decide if the triangle with those corners is acute or obtuse.

Subject:
Geometry
Mathematics
Statistics and Probability
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Gilbert Strange
Date Added:
06/02/2012
Are the Triangles Congruent?
Unrestricted Use
CC BY
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The purpose of this task is primarily assessment-oriented, asking students to demonstrate knowledge of how to determine the congruency of triangles.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Base and Height
Unrestricted Use
CC BY
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The purpose of this task is to help students understand what is meant by a base and its corresponding height in a triangle and to be able to correctly identify all three base-height pairs.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
CK-12 Foundation and Leadership Public Schools, College Access Reader: Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
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This book is a "flexed" version of CK-12's Basic Geometry that aligns with College Access Geometry and contains embedded literacy supports. It covers the essentials of geometry for the high school student.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Fauteux, Michael
Zapata, Rosamaria
Date Added:
05/18/2011
CK-12 Texas Instruments Geometry Student Edition
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
10/06/2009
Circumcenter of a Triangle
Unrestricted Use
CC BY
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This task shows that the three perpendicular bisectors of the sides of a triangle all meet in a point, using the characterization of the perpendicular bisector of a line segment as the set of points equidistant from the two ends of the segment. The point so constructed is called the circumcenter of the triangle.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
03/04/2013
Euclidean plane and its relatives
Conditional Remix & Share Permitted
CC BY-SA
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This book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalistic.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Author:
Anton Petrunin
Date Added:
08/13/2018
Exploring Triangles: Properties, Theorems, and Trig Functions
Conditional Remix & Share Permitted
CC BY-NC-SA
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This is a 10 slide Soft Chalk presentation that includes:
Classify Triangle by Angles
Classify Triangles by Sides
Triangle Sum Theorem
Isosceles Triangles Theorem
Pythagorean Theorem
Tan Ratio

Subject:
Geometry
Mathematics
Material Type:
Unit of Study
Author:
Kimberley Mounts
Date Added:
03/08/2021
Foundation and Leadership Public Schools, College Access Reader: Geometry - Lesson Plans and Exams
Conditional Remix & Share Permitted
CC BY-NC-SA
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A structured geometry program teacher edition of daily lesson plans and teacher supports to accompany the College Access Reader: Geometry student edition.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Fauteux, Michael
Zapata, Rosamaria
Date Added:
05/18/2011
Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
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Students engage in a competitive group relay to construct formal proofs involving triangles.

New proofs can always be written to fit different curriculum and pacing.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Game
Date Added:
10/18/2018
Geometry
Conditional Remix & Share Permitted
CC BY-NC-SA
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Students engage in a competitive group relay to construct formal proofs involving triangles.

New proofs can always be written to fit different curriculum and pacing.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Game
Date Added:
10/21/2018
Geometry Deductive Proof Relay
Conditional Remix & Share Permitted
CC BY-NC-SA
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Students engage in a competitive group relay to construct formal proofs involving triangles.

New proofs can always be written to fit different curriculum and pacing.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Game
Date Added:
02/12/2016
Geometry - Edicion Espanola (Student's Edition)
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
11/23/2010
Geometry Module 2: Similarity, Proof, and Trigonometry
Conditional Remix & Share Permitted
CC BY-NC-SA
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Just as rigid motions are used to define congruence in Module 1, so dilations are added to define similarity in Module 2.  To be able to discuss similarity, students must first have a clear understanding of how dilations behave.  This is done in two parts, by studying how dilations yield scale drawings and reasoning why the properties of dilations must be true. Once dilations are clearly established, similarity transformations are defined and length and angle relationships are examined, yielding triangle similarity criteria.  An in-depth look at similarity within right triangles follows, and finally the module ends with a study of right triangle trigonometry.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Geometry
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
07/03/2014