This modeling task is focused on finding rectilinear area of two figures.

- Subject:
- Elementary Education
- Mathematics
- Measurement and Data
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Author:
- raquel fuentes
- Date Added:
- 08/08/2019

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Remix

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This modeling task is focused on finding rectilinear area of two figures.

- Subject:
- Elementary Education
- Mathematics
- Measurement and Data
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Author:
- raquel fuentes
- Date Added:
- 08/08/2019

Conditional Remix & Share Permitted

CC BY-NC-SA
This modeling task is focused on finding rectilinear area of two figures.

- Subject:
- Elementary Education
- Mathematics
- Measurement and Data
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Author:
- MSDE Admin
- Linda Schoenbrodt
- Lisa Adkins
- Date Added:
- 09/17/2018

Conditional Remix & Share Permitted

CC BY-NC-SA
This task challenges students to find the area of different sections of a garden and the entire garden. With missing lengths and widths, the students are challenged to apply computation skills to finding missing measurements.

- Subject:
- Education
- Mathematics
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Author:
- MSDE Admin
- Linda Schoenbrodt
- Chelsea Davies
- Date Added:
- 09/17/2018

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CC BY-NC-SA
This flawed reasoning task addresses misconceptions with determining area.

- Subject:
- Education
- Elementary Education
- Mathematics
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Author:
- MSDE Admin
- Linda Schoenbrodt
- Lisa Adkins
- Date Added:
- 09/17/2018

Remix

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This task requires students to find the area and perimeter of a rectilinear figure and model their thinking through multiple equations. This task relates to the Common Core State Standards: 3.MD.C.7d, 3.MD.D.8, and 3.OA.D.8.

- Subject:
- Education
- Mathematics
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Author:
- Heather Bolles
- Date Added:
- 05/06/2020

Conditional Remix & Share Permitted

CC BY-NC-SA
This task requires students to find the area of a rectilinear figure and model their thinking through multiple equations. This task relates to the Common Core State Standards: 3.MD.C.7d and 3.OA.D.8.

- Subject:
- Education
- Mathematics
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Author:
- MSDE Admin
- Linda Schoenbrodt
- Chelsea Davies
- Date Added:
- 09/17/2018

Unrestricted Use

CC BY
Family facing 6th Grade math unit focusing on area and surface area.

- Subject:
- Geometry
- Material Type:
- Unit of Study
- Provider:
- Illustrative Mathematics
- Date Added:
- 05/11/2020

Unrestricted Use

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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
- Material Type:
- Unit of Study
- Provider:
- Illustrative Mathematics
- Date Added:
- 05/11/2020

Unrestricted Use

CC BY
Student facing 6th Grade math unit focusing on area and surface area.

- Subject:
- Geometry
- Material Type:
- Unit of Study
- Provider:
- Illustrative Mathematics
- Date Added:
- 05/11/2020

Use tiles to represent variables and constants, learn how to represent and solve algebra problems. Solve equations, substitute in variable expressions, and expand and factor. Flip tiles, remove zero pairs, copy and arrange, and make your way toward a better understanding of algebra.

- Subject:
- Algebra
- Material Type:
- Diagram/Illustration
- Interactive
- Simulation
- Author:
- Illuminations National Council of Teachers of Mathematics
- Date Added:
- 05/15/2018

Unrestricted Use

CC BY
Student will watch the two video about area and perimeter. After they will construct their own pieces of each from graph paper. They must create their own animal within the graph paper. They will count the squares for the proper area and count along the outside for perimeter.

- Subject:
- Mathematics
- Material Type:
- Lesson Plan
- Author:
- Amy Rosas
- Date Added:
- 03/03/2019

Unrestricted Use

CC BY
This is a lesson for learning about area and perimeter of rectangles.

This corresponds to "College and Career Ready" standard (3.MD.7a) -- Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

(I was not able to find that standard here.)

- Subject:
- Mathematics
- Material Type:
- Lesson Plan
- Author:
- Susan Jones
- Date Added:
- 01/28/2017

Remix

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This is a hands-on guided lesson for relating area to factors. Students will model area of rectangles using Cheez-Its and define factors as the dimensions of the rectangles.

- Subject:
- Mathematics
- Material Type:
- Lesson Plan
- Author:
- Donna Parrish
- Date Added:
- 08/08/2019

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An interactive applet and associated web page showing how to find the area and perimeter of a square from the coordinates of its vertices. The square can be either parallel to the axes or rotated. The grid and coordinates can be turned on and off. The area and perimeter calculation can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the method for determining area and perimeter, a worked example and has links to other pages relating to coordinate geometry. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

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An interactive applet and associated web page that demonstrate the area of a circle. A circle is shown with a point on the circumference that can be dragged to resize the circle. As the circle is resized, the radius and the area computation is shown changing in real time. The radius and formula can be hidden for class discussion. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

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An interactive applet and associated web page that demonstrate the area of an ellipse. The major and minor axes can be dragged and the area is continuously recalculated. The ellipse has a grid inside it so that students can estimate the area and compare the result to the calculated one. The web page has the formula for the area calculation. The web page also has links to other pages defining the various properties of an ellipse and to some ellipse constructions. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

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This short video and interactive assessment activity is designed to teach third graders about area in grid.

- Subject:
- Mathematics
- Measurement and Data
- Material Type:
- Assessment
- Interactive
- Lecture
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 Elementary Math
- Date Added:
- 03/04/2015

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Finding area of rectangular solids and cylinders by cutting them into flat pieces and adding the areas.

- Subject:
- Geometry
- Material Type:
- Lesson Plan
- Provider:
- University of North Carolina at Chapel Hill School of Education
- Provider Set:
- LEARN NC Lesson Plans
- Author:
- Dorothy Carawan
- Date Added:
- 07/22/1999

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CC BY-NC-SA
This short video and interactive assessment activity is designed to teach third graders an overview of area of squares and rectangles - word problems.

- Subject:
- Mathematics
- Measurement and Data
- Material Type:
- Assessment
- Interactive
- Lecture
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 Elementary Math
- Date Added:
- 03/04/2015

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An interactive applet and associated web page that deals with the area of a kite, (a quadrilateral with two distinct pairs of equal adjacent sides). The applet shows a kite and the user can reshape it by dragging any vertex. The other vertices move automatically to ensure it always remains a kite. As the vertices are dragged, the area is continuously recalculated and displayed. The kite is filled with a grid of unit squares so that the students can estimate the area. The on-screen calculation can be hidden until the estimates are done. The web page lists two different ways to compute the area of a kite. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

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A web page and interactive applet showing the ways to calculate the area of a parallelogram. The user can drag the vertices of the parallelogram and the other points change automatically to ensure it remains a parallelogram. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area, which is continuously recomputed and displayed. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the rhombus is reshaped with the mouse. A companion page is http://www.mathopenref.com/parallelogram.html showing the definition and properties of a parallelogram Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

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A web page and interactive applet showing the ways to calculate the area of a rectangle. The user can drag the vertices of the rectangle and the other points change automatically to ensure it remains a rectangle. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the rectangle is reshaped with the mouse. A companion page is http://www.mathopenref.com/rectangle.html showing the definition and properties of a rectangle Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

Read the Fine Print

An interactive applet and associated web page that demonstrate the area of a square. The applet shows a square with all vertices draggable. As you drag any one, the area id continuously calculated and shown on the applet. The square is filled with a unit grid to allow class estimation of area. The displayed calculation can be turned off. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

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A web page and interactive applet showing the ways to calculate the area of a trapezoid. The user can drag the vertices of the trapezoid and the other points change automatically to ensure it remains a trapezoid. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the trapezoid is reshaped with the mouse. A companion page is http://www.mathopenref.com/trapezoid.html showing the definition and properties of a trapezoid. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

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An interactive applet and associated web page that calculate the area of a triangle using the formula method in coordinate geometry. The applet has a triangle with draggable vertices. As you drag them the triangle's area is recalculated from the vertex coordinates using the formula. The grid and coordinates can be turned on and off. The area calculation can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the method for determining area using the formula method, a worked example and has links to other pages relating to coordinate geometry. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

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An interactive applet and associated web page that explain the area of a triangle. The applet shows a triangle that can be reshaped by dragging any vertex. As it changes, the area is continually recalculated using the 'half base times height' method. The triangle has a fixed square grid in its interior that can be used to visually estimate the area for later correlation with the calculated value. The calculation can be hidden while estimation is in progress. The text page has links to a similar page that uses Heron's Formula to compute the area. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

- Subject:
- Geometry
- Material Type:
- Reading
- Simulation
- Provider:
- Math Open Reference
- Author:
- John Page
- Date Added:
- 02/16/2011

Remix

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In this unit students will learn to find the perimeter and area of plane and composite figures, find the circumference and area of circles, Surface Area of Prisms and Cylinders, Volume of Prisms and Cylinders, Volume and Surface Area Applications.

- Subject:
- Education
- Geometry
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Lesson
- Lesson Plan
- Teaching/Learning Strategy
- Unit of Study
- Author:
- Rick Meyer
- Bonnie Noel
- Date Added:
- 08/08/2019

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Educational Use
Student pairs are given 10 minutes to create the biggest box possible using one piece of construction paper. Teams use only scissors and tape to each construct a box and determine how much puffed rice it can hold. Then, to meet the challenge, they improve their designs to create bigger boxes. They plot the class data, comparing measured to calculated volumes for each box, seeing the mathematical relationship. They discuss how the concepts of volume and design iteration are important for engineers. Making 3-D shapes also supports the development of spatial visualization skills. This activity and its associated lesson and activity all employ volume and geometry to cultivate seeing patterns and understanding scale models, practices used in engineering design to analyze the effectiveness of proposed design solutions.

- Subject:
- Mathematics
- Geometry
- Measurement and Data
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Author:
- Aaron Lamplugh
- Maia Vadeen
- Malinda Zarske
- Nathan Coyle
- Russell Anderson
- Ryan Sullivan
- Date Added:
- 02/07/2017

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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
- Material Type:
- Textbook
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 FlexBook
- Author:
- Fauteux, Michael
- Zapata, Rosamaria
- Date Added:
- 05/18/2011

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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
- Material Type:
- Textbook
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 FlexBook
- Date Added:
- 10/06/2009

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Worksheet with solutions is provided.

- Subject:
- Architecture and Design
- Geometry
- Material Type:
- Activity/Lab
- Provider:
- Achieve, Inc.
- Date Added:
- 07/12/2014

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Educational Use
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

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Educational Use
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

Conditional Remix & Share Permitted

CC BY-NC
Activity where students make as many rectangles as possible that have a set perimeter and compare how their areas differ.

Major Concept: Squares provide the most area with the same perimeter. Students will also relate how the formulas for area and perimeter of rectangles relate to the building of those figures.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Lesson Plan
- Teaching/Learning Strategy
- Author:
- Tabatha Myers
- Date Added:
- 02/13/2016

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A series of four posters showing the scale of the Universe, intended for the walls of science classrooms in secondary schools.

- Subject:
- Physics
- Material Type:
- Diagram/Illustration
- Author:
- Richard Penn
- Date Added:
- 09/17/2019

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In this lesson, students will use a square foot gardening planting chart (provided) to calculate the number of crops they can plant within a specific area.

- Subject:
- Mathematics
- Material Type:
- Lesson Plan
- Author:
- Out Teach
- Date Added:
- 05/06/2021

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CC BY-NC-SA
Students explore how the formulas for the areas of parallelograms, triangles, and trapezoids are developed.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Homework/Assignment
- Author:
- Heather Bolles
- Date Added:
- 05/13/2020

Conditional Remix & Share Permitted

CC BY-SA
Developing the Concept of a Determinant using DGS

- Subject:
- Algebra
- Geometry
- Material Type:
- Simulation
- Provider:
- GeoGebra
- Provider Set:
- GeoGebraTube
- Date Added:
- 11/11/2011

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Educational Use
Through this lesson and its two associated activities, students are introduced to the use of geometry in engineering design, and conclude by making scale models of objects of their choice. The practice of developing scale models is often used in engineering design to analyze the effectiveness of proposed design solutions. In this lesson, students complete fencing (square) and fire pit (circle) word problems on two worksheets—which involves side and radius dimensions, perimeters, circumferences and areas—guiding them to discover the relationships between the side length of a square and its area, and the radius of a circle and its area. They also think of real-world engineering applications of the geometry concepts.

- Subject:
- Mathematics
- Geometry
- Measurement and Data
- Material Type:
- Lesson
- Provider:
- TeachEngineering
- Author:
- Aaron Lamplugh
- Maia Vadeen
- Malinda Zarske
- Nathan Coyle
- Russell Anderson
- Ryan Sullivan
- Date Added:
- 02/07/2017

Unrestricted Use

CC BY
The purpose of this task is to strengthen students' understanding of area. It could be assigned in class to individuals or small groups or given as a homework exercise to generate interesting discussions the following day. The relatively high levels of complexity and technical demand enhance its instructional value.

- Subject:
- Mathematics
- Geometry
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 05/01/2012

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help teachers assess how well students are able to solve problems involving area and volume, and in particular, to help you identify and assist students who have difficulties with the following: computing perimeters, areas and volumes using formulas; and finding the relationships between perimeters, areas, and volumes of shapes after scaling.

- Subject:
- Geometry
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help teachers assess how well students can: Understand the concepts of length and area; use the concept of area in proving why two areas are or are not equal; and construct their own examples and counterexamples to help justify or refute conjectures.

- Subject:
- Geometry
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

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Educational Use
Working individually or in groups, students explore the concept of stress (compression) through physical experience and math. They discover why it hurts more to poke themselves with mechanical pencil lead than with an eraser. Then they prove why this is so by using the basic equation for stress and applying the concepts to real engineering problems.

- Subject:
- Engineering
- Life Science
- Mathematics
- Geometry
- Physics
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Jeffrey Mitchell
- Date Added:
- 09/18/2014

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Educational Use
Students develop and solidify their understanding of the concept of "perimeter" as they engage in a portion of the civil engineering task of land surveying. Specifically, they measure and calculate the perimeter of a fenced in area of "farmland," and see that this length is equivalent to the minimum required length of a fence to enclose it. Doing this for variously shaped areas confirms that the perimeter is the minimal length of fence required to enclose those shapes. Then students use the technology of a LEGO MINDSTORMS(TM) NXT robot to automate this task. After measuring the perimeter (and thus required fence length) of the "farmland," students see the NXT robot travel around this length, just as a surveyor might travel around an area during the course of surveying land or measuring for fence materials. While practicing their problem solving and measurement skills, students learn and reinforce their scientific and geometric vocabulary.

- Subject:
- Engineering
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Ursula Koniges
- Date Added:
- 09/18/2014

Unrestricted Use

CC BY
Math unit about understanding Perimeter and Area using Khan Academy materials. Appropriate for grades 3-5.

- Subject:
- Mathematics
- Material Type:
- Assessment
- Homework/Assignment
- Lesson Plan
- Author:
- Amy Whitchurch
- Date Added:
- 01/28/2016

Conditional Remix & Share Permitted

CC BY-NC-SA
A structured geometry program teacher edition of daily lesson plans and teacher supports to accompany the College Access Reader: Geometry student edition.

- Subject:
- Geometry
- Material Type:
- Textbook
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 FlexBook
- Author:
- Fauteux, Michael
- Zapata, Rosamaria
- Date Added:
- 05/18/2011

Conditional Remix & Share Permitted

CC BY-NC-SA
This resource demonstrates the distributive property through the area of rectangles. You can manipulate the dimension by moving the slider.

- Subject:
- Mathematics
- Algebra
- Geometry
- Material Type:
- Diagram/Illustration
- Simulation
- Provider:
- GeoGebra
- Author:
- jtmace11
- Date Added:
- 05/10/2018

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CC BY-NC-SA
Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities.

- Subject:
- Geometry
- Material Type:
- Full Course
- Provider:
- The Open University
- Provider Set:
- Open University OpenLearn
- Date Added:
- 12/15/2008

Conditional Remix & Share Permitted

CC BY-NC-SA
- Subject:
- Geometry
- Material Type:
- Textbook
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 FlexBook
- Date Added:
- 11/23/2010

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This module brings together the ideas of similarity and congruence and the properties of length, area, and geometric constructions studied throughout the year. It also includes the specific properties of triangles, special quadrilaterals, parallel lines and transversals, and rigid motions established and built upon throughout this mathematical story. This module's focus is on the possible geometric relationships between a pair of intersecting lines and a circle drawn on the page.

- Subject:
- Geometry
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 04/15/2016

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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
- Material Type:
- Textbook
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 FlexBook
- Author:
- Dirga, Kathryn
- Jordan, Lori
- Date Added:
- 11/16/2010

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CK-12's Texas Instruments Geometry Student Edition Flexbook is a useful collection of exercises intended to enrich a student's understanding of basic geometric principles.

- Subject:
- Geometry
- Material Type:
- Textbook
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 FlexBook
- Author:
- Jordan, Lori
- Date Added:
- 12/14/2010

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CC BY-NC-SA
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:
- 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

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Educational Use
Students take on the role of geographers and civil engineers and use a device enabled with the global positioning system (GPS) to locate geocache locations via a number of waypoints. Teams save their data points, upload them to geographic information systems (GIS) software, such as Google Earth, and create scale drawings of their explorations while solving problems of area, perimeter and rates. The activity is unique in its integration of technology for solving mathematical problems and asks students to relate GPS and GIS to engineering.

- Subject:
- Engineering
- Geometry
- Measurement and Data
- Physical Science
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Provider Set:
- Activities
- Author:
- Andrea Burrows
- Jake Schell
- Date Added:
- 10/05/2018

Conditional Remix & Share Permitted

CC BY-NC-SA
In this 35-day Grade 3 module, students extend and deepen second grade practice with "equal shares" to understanding fractions as equal partitions of a whole. Their knowledge becomes more formal as they work with area models and the number line.

- Subject:
- Ratios and Proportions
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 02/03/2013

Conditional Remix & Share Permitted

CC BY-NC-SA
In this 20-day module students explore area as an attribute of two-dimensional figures and relate it to their prior understandings of multiplication. Students conceptualize area as the amount of two-dimensional surface that is contained within a plane figure. They come to understand that the space can be tiled with unit squares without gaps or overlaps. They make predictions and explore which rectangles cover the most area when the side lengths differ. Students progress from using square tile manipulatives to drawing their own area models and manipulate rectangular arrays to concretely demonstrate the arithmetic properties. The module culminates with students designing a simple floor plan that conforms to given area specifications.

- Subject:
- Measurement and Data
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 10/18/2013

Conditional Remix & Share Permitted

CC BY-NC-SA
This 40-day final module of the year offers students intensive practice with word problems, as well as hands-on investigation experiences with geometry and perimeter. The module begins with solving one- and two-step word problems based on a variety of topics studied throughout the year, using all four operations. Next students explore geometry. Students tessellate to bridge geometry experience with the study of perimeter. Line plots, familiar from Module 6, help students draw conclusions about perimeter and area measurements. Students solve word problems involving area and perimeter using all four operations. The module concludes with a set of engaging lessons that briefly review the fundamental Grade 3 concepts of fractions, multiplication, and division.

- Subject:
- Geometry
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 02/01/2014

Conditional Remix & Share Permitted

CC BY-NC-SA
In this 25-day module, students work with two- and three-dimensional figures. Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms. The second half of the module turns to extending students understanding of two-dimensional figures. Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths. They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes. This module fills a gap between Grade 4s work with two-dimensional figures and Grade 6s work with volume and area.

- Subject:
- Geometry
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 01/17/2014

Conditional Remix & Share Permitted

CC BY-NC-SA
In this module, students utilize their previous experiences in order to understand and develop formulas for area, volume, and surface area. Students use composition and decomposition to determine the area of triangles, quadrilaterals, and other polygons. Extending skills from Module 3 where they used coordinates and absolute value to find distances between points on a coordinate plane, students determine distance, perimeter, and area on the coordinate plane in real-world contexts. Next in the module comes real-life application of the volume formula where students extend the notion that volume is additive and find the volume of composite solid figures. They apply volume formulas and use their previous experience with solving equations to find missing volumes and missing dimensions. The final topic includes deconstructing the faces of solid figures to determine surface area. To wrap up the module, students apply the surface area formula to real-life contexts and distinguish between the need to find surface area or volume within contextual situations.

- Subject:
- Geometry
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 01/31/2014