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

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

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Unrestricted Use

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

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

Unrestricted Use

CC BY
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

Unrestricted Use

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

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

Only Sharing Permitted

CC BY-NC-ND
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

Conditional Remix & Share Permitted

CC BY-NC-SA
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

Unrestricted Use

CC BY
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

Unrestricted Use

CC BY
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

Conditional Remix & Share Permitted

CC BY-NC-SA
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

Conditional Remix & Share Permitted

CC BY-NC-SA
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

Unrestricted Use

CC BY
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

Conditional Remix & Share Permitted

CC BY-NC-SA
This short video and interactive assessment activity is designed to teach fourth graders about classifying triangles based on equal sides.

- Subject:
- Geometry
- Mathematics
- Material Type:
- Assessment
- Interactive
- Lecture
- Provider:
- CK-12 Foundation
- Provider Set:
- CK-12 Elementary Math
- Date Added:
- 03/05/2015

Read the Fine Print

Educational Use
Students learn how to use wind energy to combat gravity and create lift by creating their own tetrahedral kites capable of flying. They explore different tetrahedron kite designs, learning that the geometry of the tetrahedron shape lends itself well to kites and wings because of its advantageous strength-to-weight ratio. Then they design their own kites using drinking straws, string, lightweight paper/plastic and glue/tape. Student teams experience the full engineering design cycle as if they are aeronautical engineers—they determine the project constraints, research the problem, brainstorm ideas, select a promising design and build a prototype; then they test and redesign to achieve a successful flying kite. Pre/post quizzes and a worksheet are provided.

- Subject:
- Geometry
- Mathematics
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Joshua T. Claypool
- Date Added:
- 02/17/2017

Conditional Remix & Share Permitted

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

Read the Fine Print

Educational Use
Students use simple materials to design an open spectrograph so they can calculate the angle light is bent when it passes through a holographic diffraction grating. A holographic diffraction grating acts like a prism, showing the visual components of light. After finding the desired angles, students use what they have learned to design their own spectrograph enclosure.

- Subject:
- Applied Science
- Engineering
- Physical Science
- Physics
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Date Added:
- 10/14/2015

Conditional Remix & Share Permitted

CC BY-SA
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

Conditional Remix & Share Permitted

CC BY-NC-SA
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

Read the Fine Print

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

Conditional Remix & Share Permitted

CC BY-NC-SA
Origami is the Japanese art of paper folding, originally from China and now practiced all over the world. In this activity, create an origami star. Introduce children to both geometry and analytical skills in a creative way.

- Subject:
- Arts and Humanities
- Astronomy
- Physical Science
- Material Type:
- Activity/Lab
- Game
- Provider:
- UNAWE
- Provider Set:
- EU Universe Awareness
- Date Added:
- 03/20/2012

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
- Mathematics
- 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
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