Title: |
Grade 7 Mathematics Module 6, Topic A: Unknown Angles |
URL: |
https://www.engageny.org/resource/grade-7-mathematics-module-6-topic-overview |
Content Source: |
EngageNY
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Type: |
Lesson/Unit Plan
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Overview: |
In Module 6, Topic A, students solve for unknown angles. The supporting work for unknown angles began in Grade 4, Module 4 (4.MD.C.5–7), where all of the key terms in this Topic were first defined, including adjacent, vertical, complementary, and supplementary angles, angles on a line and angles at a point. In Grade 4, students used those definitions as a basis to solve for unknown angles by using a combination of reasoning (through simple number sentences and equations), and measurement (using a protractor). For example, students learned to solve for a missing angle in a pair of supplementary angles where one angle measurement is known.
In Grade 7, Module 3, students studied how expressions and equations are efficient ways to solve problems. Two lessons were dedicated to applying the properties of equality to isolate the variable in the context of missing angle problems. The diagrams in those lessons were drawn to scale to help students more easily make the connection between the variable and what it actually represents. Now in Module 6, the most challenging examples of unknown angle problems (both diagram-based and verbal) require students to use a synthesis of angle relationships and algebra. The problems are multi-step, requiring students to identify several layers of angle relationships and to fit them with an appropriate equation to solve. In this case, they use angle relationships to find the measurement of an angle. |
Content Standard(s): |
Mathematics MA2019 (2019) Grade: 7 | 21. Use facts about supplementary, complementary, vertical, and adjacent angles in multi-step problems to write and solve simple equations for an unknown angle in a figure. Unpacked Content
Alabama Alternate Achievement Standards
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Tags:
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angles, complementary, equations, multistep, supplementary, unknown, vertical |
License Type:
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Accessibility | Text Resources: Content is organized under headings and subheadings |
Comments | There are four lessons on this topic.
This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. |