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6.1 Area and Surface Area (Teacher Materials).
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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
A-CED Regular Tessellations of the plane
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CC BY
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This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
Applying Angle Theorems
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.

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
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
Calculat
Unrestricted Use
CC BY
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This lesson focuses on calculating the areas of rectangles. It is designed to enable adult students to successfully master basic geometry knowledge in order to achieve their High School Equivalency (HSE). Areas to be covered include types of polygons, quadrilaterals, rectangles; calculating areas of rectangle and calculating costs. Students will apply this knowledge to practical areas of their lives such as calculating the costs of purchasing carpets or painting of walls

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Date Added:
08/08/2019
Calculat
Unrestricted Use
CC BY
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This lesson focuses on calculating the areas of rectangles. It is designed to enable adult students to successfully master basic geometry knowledge in order to achieve their High School Equivalency Diploma (HSED). Areas to be covered include types of polygons, quadrilaterals, rectangles; calculating areas of rectangles and calculating costs. Students can apply this knowledge to practical areas of their lives such as calculating the cost of purchasing carpet or painting walls.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Date Added:
08/08/2019
Calculating Rectangular Area
Read the Fine Print
Educational Use
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In this video segment from Cyberchase, the CyberSquad measures Judge Trudy's land claim by using tarps, fence posts and a grid made with rope.

Subject:
Mathematics
Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media: Multimedia Resources for the Classroom and Professional Development
Author:
U.S. Department of Education
WNET
Date Added:
07/07/2008
Calculating the Areas of Rectangles
Unrestricted Use
CC BY
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This lesson focuses on calculating the areas of rectangles. It is designed to enable adult students to successfully master basic geometry knowledge in order to achieve their High School Equivalency (HSE). Areas to be covered include types of polygons, quadrilaterals, rectangles; calculating areas of rectangle and calculating costs. Students will apply this knowledge to practical areas of their lives such as calculating the costs of purchasing carpets or painting of walls

Subject:
Mathematics
Material Type:
Interactive
Lesson Plan
Date Added:
05/05/2016
Comparing Regular and Irregular Areas
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Educational Use
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The CyberSquad proves that the area of Hacker's land is equal to the area of Judge Trudy's land in this video segment from Cyberchase.

Subject:
Mathematics
Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media: Multimedia Resources for the Classroom and Professional Development
Author:
U.S. Department of Education
WNET
Date Added:
07/08/2008
Finding Areas of Polygons, Variation 1
Unrestricted Use
CC BY
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The purpose of this task is to have students work on a sequence of area problems that shows the advantage of increasingly abstract strategies in preparation for developing general area formulas for parallelograms and triangles.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
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 - 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 - Second Edition (Student's Edition)
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12's Geometry - Second Edition is a clear presentation of the essentials of geometry for the high school student. Topics include: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Dirga, Kathryn
Jordan, Lori
Date Added:
11/16/2010
Grade 8 Module 3: Similarity
Conditional Remix & Share Permitted
CC BY-NC-SA
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In Module 3, students learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean Theorem based on the Angle-Angle criterion for similar triangles.  The module begins with the definition of dilation, properties of dilations, and compositions of dilations.  One overarching goal of this module is to replace the common idea of “same shape, different sizes” with a definition of similarity that can be applied to geometric shapes that are not polygons, such as ellipses and circles.

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:
10/17/2013
Hexagonal Pattern of Beehives
Unrestricted Use
CC BY
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The goal of this task is to use geometry study the structure of beehives. Beehives have a tremendous simplicity as they are constructed entirely of small, equally sized walls. In order to as useful as possible for the hive, the goal should be to create the largest possible volume using the least amount of materials. In other words, the ratio of the volume of each cell to its surface area needs to be maximized. This then reduces to maximizing the ratio of the surface area of the cell shape to its perimeter.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
Illustrative Mathematics: Areas of Special Quadrilaterals
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task asks students to identify which of the six polygons have the same area. Students may complete the task using a variety of techniques including decomposing shapes, using transformations (rotations, reflections, translations) to move one or more parts of the figure to another part to more easily calculate the area, enclosing the polygon inside a larger rectangle and then subtract the areas of the "extra" pieces, etc.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Lesson Plan
Provider:
Illustrative Mathematics
Date Added:
05/08/2020
Math, Grade 7
Conditional Remix & Share Permitted
CC BY-NC
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Four full-year digital course, built from the ground up and fully-aligned to the Common Core State Standards, for 7th grade Mathematics. Created using research-based approaches to teaching and learning, the Open Access Common Core Course for Mathematics is designed with student-centered learning in mind, including activities for students to develop valuable 21st century skills and academic mindset.

Subject:
Mathematics
Material Type:
Full Course
Provider:
Pearson
Date Added:
10/06/2016