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A-CED Regular Tessellations of the plane
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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:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
All Vs. Only Some Remix
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CC BY
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This lesson is a task in the Geometry strand that can be used for students discovering what makes a correct polygon and what does not.  This lesson can be extended to upper primary students to include classifying types of triangles.https://goopenva.org/courses/1-g-all-vs-only-some

Subject:
Measurement and Geometry
Material Type:
Activity/Lab
Author:
Ruthie Kinker
Date Added:
06/24/2020
CK-12 Foundation and Leadership Public Schools, College Access Reader: Geometry
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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:
Mathematics
Measurement and Geometry
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
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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:
Mathematics
Measurement and Geometry
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
10/06/2009
Combining Polygons
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CC BY-NC
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Combining Polygons --  Mathematics Instructional Plans (MIPs) help teachers align instruction with the 2016 Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

Subject:
Mathematics
Measurement and Geometry
Material Type:
Lesson Plan
Author:
Debra Delozier
Tina Mazzacane
Kristin Williams
Date Added:
04/29/2020
Compare and Contrast Polygons
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CC BY-NC-SA
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This performance task is designed for third grade students and higher to compare and contrast a group of items based on attributes or actions classified into at least two sets and subsets.  The items being classified are polygons.  The use of algorithms and flowcharts is also a key component of the performance task.

Subject:
Algorithms and Programming
Computer Science
Mathematics
Measurement and Geometry
Material Type:
Lesson Plan
Author:
Yvonne Richard
Laura Michaels
Acse Grant
Emily Taylor
Date Added:
06/03/2022
Finding Areas of Polygons, Variation 1
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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:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Foundation and Leadership Public Schools, College Access Reader: Geometry - Lesson Plans and Exams
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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:
Mathematics
Measurement and Geometry
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)
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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:
Mathematics
Measurement and Geometry
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
11/23/2010
Geometry - Second Edition (Student's Edition)
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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:
Mathematics
Measurement and Geometry
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Dirga, Kathryn
Jordan, Lori
Date Added:
11/16/2010
Geometry (Teacher's Edition)
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CC BY-NC-SA
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CK-12 Geometry Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12 Geometry Student Edition. The solution and assessment guides are available upon request.

Subject:
Mathematics
Measurement and Geometry
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Kershaw, Jem
Kramer, Melissa
Zwack, Teresa
Date Added:
06/25/2011
Grade 3 Unit 5: Shapes and Their Perimeter
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In Unit 5, students explore concepts of perimeter and geometry. Students have gradually built their understanding of geometric concepts since Kindergarten, when students learn to name shapes regardless of size and orientation. They also learn to distinguish between flat and solid shapes. In Grade 1, students’ understanding grows more nuanced, as they learn to distinguish between defining and non-defining attributes, as well as compose and decompose both flat and solid shapes. In Grade 2, students draw and identify shapes with specific attributes. All of this understanding gets them ready for Grade 3, in which students begin their journey of measuring those attributes, including area (addressed in Unit 4), and perimeter (explored here), as well as classification of shapes based on attributes into one or more categories.

Students begin the unit by defining perimeter as the boundary of a two-dimensional shape and measure it by finding its length. For a polygon, the length of the perimeter is the sum of the lengths of the sides. They develop their understanding of perimeter by measuring it with a ruler, finding it when all side lengths are labeled, and then finding it when some information about the length of a shape’s side lengths needs to be deduced, such as when a rectangle only has its length and width labeled. Students then solve real-world and mathematical problems, both given a figure and without one, involving perimeters of polygons (3.MD.8). With this understanding of perimeter, they are able to compare the measurement of area and perimeter of a rectangle, seeing that a rectangle with a certain area can have a variety of perimeters and, conversely, a rectangle with a certain perimeter can have a variety of areas, connecting the additional cluster content of perimeter to the major cluster content of area. Students then solve various problems involving area and perimeter. The last topic of the unit explores geometry. Students build on Grade 2 ideas about polygons and their properties, specifically developing and expanding their knowledge of quadrilaterals. They explore the attributes of quadrilaterals and classify examples into various categories (3.G.1), then explore attributes of polygons and classify examples into various categories, now including quadrilaterals. Students also draw polygons based on their attributes. Students next use tetrominoes and tangrams to compose and decompose shapes.

In this unit, students reason abstractly and quantitatively, translating back and forth between figures and equations in the context of perimeter problems (MP.2). Students will also construct viable arguments and critique the reasoning of others as they develop a nuanced understanding of the difference between area and perimeter, as well as when they classify shapes according to their attributes and justify their rationale (MP.3). Lastly, students will use appropriate tools strategically by using rulers to measure the side lengths of polygons to find their perimeter, as well as use rulers and right angle templates to find attributes of shapes to determine their classification (MP.5).

Subject:
Mathematics
Material Type:
Assessment
Homework/Assignment
Lesson Plan
Unit of Study
Provider:
Match Fishtank
Date Added:
01/01/2017
Hexagonal Pattern of Beehives
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CC BY-NC-SA
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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:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
Overlapping Rectangles
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This challenging problem and brainteaser gives students an opportunity to compose and decompose polygons to make rectangles.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/29/2012
PhET Simulation: Estimation
Unrestricted Use
CC BY
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This interactive Flash animation allows students to explore size estimation in one, two and three dimensions. Multiple levels of difficulty allow for progressive skill improvement. In the simplest level, users estimate the number of small line segments that can fit into a larger line segment. Intermediate and advanced levels offer feature games that explore area of rectangles and circles, and volume of spheres and cubes. Related lesson plans and student guides are available for middle school and high school classroom instruction. Editor's Note: When the linear dimensions of an object change by some factor, its area and volume change disproportionately: area in proportion to the square of the factor and volume in proportion to its cube. This concept is the subject of entrenched misconception among many adults. This game-like simulation allows kids to use spatial reasoning, rather than formulas, to construct geometric sense of area and volume. This is part of a larger collection developed by the Physics Education Technology project (PhET).

Subject:
Science
Material Type:
Activity/Lab
Interactive
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Mindy Gratny
Date Added:
01/22/2006
Polygon ( remix)
Unrestricted Use
CC BY
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This resource can be found in Illustrative Mathematics website. There are a few modifications that were necessary to support the original lesson. Suggested modifications: Instead of providing with an activity, I strongly suggest activating student's background knowledge with a book on "The Greedy Triangle" by Marilyn Burns which encourages literacy in the curriculum. Students often are motivated to write a children's book or a poem, as it allows them to think outside the box. Secondly, the suggested activities will allow students to explore and have a mathematical dialogue about different polygons, and discourage rote memorization of geometric shapes. 

Subject:
Measurement and Geometry
Material Type:
Activity/Lab
Author:
Sandy Chalke
Date Added:
06/19/2020
Polygons Galore!
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CC BY-NC
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Investigating polygons -- Mathematics Instructional Plans (MIPs) help teachers align instruction with the Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

Subject:
Mathematics
Measurement and Geometry
Material Type:
Lesson Plan
Author:
Debra Delozier
Tina Mazzacane
Kristin Williams
Date Added:
04/29/2020
Polygons Remix
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CC BY
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This is a remix of Polygons from Illustrative Mathematics, https://tasks.illustrativemathematics.org/content-standards/tasks/1506.The purpose of this lesson is for students to define and practice identifying polygons to support sol 3.12a and 3.12b.  The lesson starts with a discussion about four polygons (triangles, quadrilaterals, pentagons, and hexagons).  Next, students play a game called 4 corners.  By incorporating movement games and activities in my classroom, the attention and behavior of my students have improved.    

Subject:
Mathematics
Material Type:
Activity/Lab
Game
Lesson
Author:
Tina Fuller
Date Added:
06/17/2020
Polygons Remix
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CC BY
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This geometry lesson is a remix from Illustrative Mathematics.  In this lesson, students identify triangles, quadrilaterals, pentagons and hexagons.  Students are also required to make these shapes using manipulatives.  https://tasks.illustrativemathematics.org/content-standards/tasks/1506

Subject:
Measurement and Geometry
Material Type:
Activity/Lab
Author:
Ruthie Kinker
Date Added:
06/24/2020
Polygons on the Coordinate Plane and Working with Polygons (Math SOL 6th and 7th)
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use. An additional source is added from VDOE to provide a foundation for identifying polygons and other support related to working with polygons.

Subject:
Mathematics
Measurement and Geometry
Material Type:
Activity/Lab
Homework/Assignment
Date Added:
11/08/2019