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• NC.Math.7.G.2
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In this unit students will build upon their experiences with geometry in earlier grades. Seventh grade students use these skills to informally construct geometric figures.

Manipulatives, dynamic geometry, and tools like rulers and protractors will be particularly helpful with this unit. A particular focus in this unit is the construction of triangles when given combinations of measures of three angles and/or sides. Students will investigate which of these combinations create unique triangles, more than one triangle, or no triangle at all. Students will use the angle-angle criterion to determine similarity.

Angle relationships generated by intersecting lines including supplementary, complementary, adjacent, and vertical angles are also used in problem solving. Using these relationships, students will make conjectures and solve multistep problems with angles created by parallel lines cut by a transversal. They will also examine both angle sums of polygons and exterior angles.

Students will know and use formulas for the area and circumference of a circle and be able to determine the relationship between them.

Subject:
Mathematics
Material Type:
Unit of Study
Provider:
Michigan Virtual
Author:
Liviya Racine-Creekmore
Date Added:
10/31/2017
Only Sharing Permitted
CC BY-NC-ND
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This 7th grade Math&nbsp;parent guide&nbsp;explains the content in straightforward terms so they can support their children&rsquo;s learning at home and will&nbsp;encourage&nbsp;caretaker engagement&nbsp;with lessons.

Subject:
Mathematics
Material Type:
Reference Material
Author:
AMBER GARVEY
Date Added:
01/05/2022
Conditional Remix & Share Permitted
CC BY-NC-SA
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Our Teacher Guides are meant to support the use of our online course and unit content. Please use these to accompany the use of our content and for ideas to support struggling learners, those needing extension and for additional resources.

Subject:
Mathematics
Material Type:
Curriculum
Teaching/Learning Strategy
Author:
AMBER GARVEY
Date Added:
05/16/2022
Conditional Remix & Share Permitted
CC BY-NC-SA
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After reviewing types of angles and how to measure angles using a protractor, students will see how many triangles they can construct using an 18-foot beam.&nbsp; Through this activity, students will discover the conditions that must be met to construct a triangle.&nbsp; For example, the sum of the lengths of two sides of a triangle must be greater than the longest side of the triangle.&nbsp; They will also discover that the sum of the angles of a triangle is always 180 degrees.

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
William Allred
Carrie Robledo
Date Added:
05/06/2021
Rating
0.0 stars

Students will learn about the Transit of Venus through reading a NASA press release and viewing a NASA eClips video that describes several ways to observe transits. Then students will study angular measurement by learning about parallax and how astronomers use this geometric effect to determine the distance to Venus during a Transit of Venus. This activity is part of the Space Math multimedia modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school textbooks. The modules cover specific math topics at multiple levels of difficulty with real-world data and use the 5E instructional sequence.

Subject:
Science
Material Type:
Lesson
Provider:
NASA
Provider Set:
Space Math
Date Added:
07/31/2019
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Educational Use
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Working in teams of four, students build tetrahedral kites following specific instructions and using specific materials. They use the basic processes of manufacturing systems – cutting, shaping, forming, conditioning, assembling, joining, finishing, and quality control – to manufacture complete tetrahedral kites within a given time frame. Project evaluation takes into account team efficiency and the quality of the finished product.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
09/18/2014
Conditional Remix & Share Permitted
CC BY-NC-SA
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&nbsp;Students will be asked to evaluate their local community and design and build a 3-dimensional circular space, building, or facility to meet their town&#39;s / city&#39;s / state&#39;s needs.&nbsp;Requirements: two written paragraphs, blueprints drafted on graph paper, a physical model, a Project Improvement Plan, and self reflection.&nbsp;

Subject:
Engineering
Mathematics
Social Studies
Material Type:
Activity/Lab
Author:
Carrie Robledo
SCOTT JEWITT
Date Added:
02/15/2021
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Middle School Math Concepts for seventh grade provides a complete textbook. It presents topics including algebraic thinking, patterns, decimals, decimal operations, fractions, fraction operations, integers, integer operations, ratios, rates, proportions, percents, percent applications, equations, solving equations, inequalities, functions, graphing functions, geometry, plane geometry, solid geometry, area, perimeter, surface area, volume, statistics including mean, median, mode and range, graphing and types of graphs, and probability.

Subject:
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Jen Kershaw
Date Added:
11/30/2012
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Students use bearing measurements to triangulate and determine objects' locations. Working in teams of two or three, they must put on their investigative hats as they take bearing measurements to specified landmarks in their classroom (or other rooms in the school) from a "mystery location." With the extension activity, students are challenged with creating their own maps of the classroom or other school location and comparing them with their classmates' efforts.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Malinda Schaefer Zarske
Matt Lippis
Penny Axelrad
Date Added:
10/14/2015
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This animation demonstrates how to construct triangles if you know the lengths of a triangle's 3 sides using a ruler and drafting compass.

Subject:
Mathematics
Material Type:
Diagram/Illustration
Lesson
Presentation
Provider:
MathsIsFun.com
Author:
Math is Fun
Date Added:
02/26/2019
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to assess how students reason about geometry, and in particular, how well they are able to: recall and apply triangle properties; sketch and construct triangles with given conditions; determine whether a set of given conditions for the measures of angle and/or sides of a triangle describe a unique triangle, more than one possible triangle or do not describe a possible triangle.

Subject:
Mathematics
Material Type:
Formative Assessment
Provider:
Mathematics Assessment Resource Service
Author:
Mathematics Assessment Project
Date Added:
04/23/2016
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this lesson, students draw triangles under different criteria to explore which criteria result in many, a few, or one triangle.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
EngageNY
Date Added:
02/03/2017
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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
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
10/14/2015
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Students are given three vertices of a parallelogram. They are asked to determine where the fourth vertex is located. The mathematics task is intended to be a problem or question that encourages the use of mathematical practices. The dialogue is meant to show how students might engage in the mathematical practices as they work on the task.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
Education Development Center, Inc.
Author:
Education Development Center, Inc.
Date Added:
02/26/2019
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Students are given two vertices of a triangle and its area. They are asked to determine where the third vertex is located. The mathematics task is intended to be a problem or question that encourages the use of mathematical practices. The dialogue is meant to show how students might engage in the mathematical practices as they work on the task.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
Education Development Center, Inc.
Author:
Education Development Center, Inc.
Date Added:
02/26/2019
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Educational Use
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Students learn about radar imaging and its various military and civilian applications that include recognition and detection of human-made targets, and the monitoring of space, deforestation and oil spills. They learn how the concepts of similarity and scaling are used in radar imaging to create three-dimensional models of various targets. Students apply the critical attributes of similar figures to create scale models of a radar imaging scenario using infrared range sensors (to emulate radar functions) and toy airplanes (to emulate targets). They use technology tools to measure angles and distances, and relate the concept of similar figures to real-world applications.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Mounir Ben Ghalia
Rocio Denise Nava
Date Added:
10/14/2015
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The purpose of this lesson is to help students investigate the relationships of the lengths of the sides of a triangle in order to discover the three triangle inequality theorems. Students will learn how to draw valid conclusions from the information obtained from the activity and apply those conclusions to real world geometry problems. This serves as an introduction into more advanced geometric theorems.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
Alabama Learning Exchange
Author:
Cathy Bennett
Date Added:
02/26/2019
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Students make an isosceles triangles using a geoboard. The mathematics task is intended to be a problem or question that encourages the use of mathematical practices. The dialogue is meant to show how students might engage in the mathematical practices as they work on the task.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
Education Development Center, Inc.
Author:
Education Development Center, Inc.
Date Added:
02/26/2019
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Educational Use
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Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package things.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Mary R. Hebrank
Date Added:
01/20/2009
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Educational Use
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Celestial navigation is the art and science of finding one's geographic position by means of astronomical observations, particularly by measuring altitudes of celestial objects sun, moon, planets or stars. This activity starts with a basic, but very important and useful, celestial measurement: measuring the altitude of Polaris (the North Star) or measuring the latitude.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Malinda Schaefer Zarske
Matt Lippis
Penny Axelrad
Date Added:
10/14/2015