Unit 7

Angles, Triangles, Prisms

Unit Overview Summary

Unit Overview Video

Unit Vocabulary

Unit Extra Practice

Homework Resources for Families

Math 7 Unit 7 Student Workbook

Lesson

Standards

Learning Targets

Additional Resources

Lesson 1:

Relationships of Angles

Addressing:

NC.7.G.5

Building Toward:

NC.7.G.5

Building On:

NC.4.MD.6

7th Grade Unpacking Document

4th Grade Unpacking Document

I can find unknown angle measures by reasoning about adjacent angles with known measures.
I can recognize when an angle measures 90, 180, or 360 degrees.

Digital Manipulative

1.1 Visualizing Angles

Khan Academy Video

Angle Basics

YouTube Video

Relationships of Angles

Khan Academy Practice

Name Angles

Video Lesson Summary: G7U7V1 Angle Relationships From Illustrative Mathematics

Lesson 2:

Adjacent Angles

Addressing:

NC.7.G.5

Building On:

NC.4.MD.6

7th Grade Unpacking Document

4th Grade Unpacking Document

I can recognize when adjacent angles are complementary or supplementary.
I can find unknown angle measures by reasoning about complementary or supplementary angles.

Khan Academy Video

Complementary and Supplementary Angles

YouTube Video

Adjacent Angles

Khan Academy Practice Complementary and Supplementary Angles

Complementary and Supplementary Angles

Video Lesson Summary: G7U7V1 Angle Relationships From Illustrative Mathematics

Lesson 3:

Nonadjacent Angles

Addressing:

NC.7.G.5

7th Grade Unpacking Document

I can determine if angles that are not adjacent are complementary or supplementary.
I can explain what vertical angles are in my own words.

Khan Academy Video

Vertical Angles Introduction

Khan Academy Practice

Identifying Supplementary, Complementary and Vertical Angles

Vertical Angles

Finding Missing Angles

Finding Angle Measures Between Intersecting Lines

Video Lesson Summary: G7U7V1 Angle Relationships From Illustrative Mathematics

Lesson 4:

Solving for Unknown Angles

Addressing:

NC.7.G.5

Building Toward:

NC.7.G.5

7th Grade Unpacking Document

I can reason through multiple steps to find unknown angle measures.
I can recognize when an equation represents a relationship between angle measures.

YouTube Video

Finding Missing Angles Vertical and Supplementary Angles

Khan Academy Videos

Measure: Complementary Angles

Measure Supplementary Angles

Khan Academy Practice

Unknown Angle Problems

Create Equations to Solve for Missing Problems

Video Lesson Summary: G7U7V1 Angle Relationships From Illustrative Mathematics

Lesson 5:

Using Equations to Solve for Unknown Angles

Addressing:

NC.7.G.5

NC.7.EE.4

Building On:

NC.7.EE.4

7th Grade Unpacking Document

I can write an equation to represent a relationship between angle measures and solve the equation to find unknown angle measures.

Khan Academy Videos

Measure: Complementary Angles

Measure Supplementary Angles

Khan Academy Practice

Unknown Angle Problems

Create Equations to Solve for Missing Problems

Video Lesson Summary: G7U7V1 Angle Relationships From Illustrative Mathematics

Lesson 6:

Building Polygons (Part 1)

Addressing:

NC.7.G.2

7th Grade Unpacking Document

I can show that the 4 side lengths that form a quadrilateral can be rearranged to form different quadrilaterals.
I can show that the 3 side lengths that form a triangle cannot be rearranged to form a different triangle.

Digital Manipulative

6.2 What Can You Build

6.3 Building Diego’s and Jada’s Shapes

6.4 Building Han’s Shape

YouTube Video

Building Quadrilaterals

Khan Academy Videos

Construct Triangle with Constraints

Triangle Inequality Theorem

Khan Academy Practice

Triangle Side Length Rules

Video Lesson Summary: G7U7V2 Drawing Polygons with Given Conditions From Illustrative Mathematics

Lesson 7:

Building Polygons (Part 2)

Addressing:

NC.7.G.2

7th Grade Unpacking Document

I can show whether or not 3 side lengths will make a triangle.
I can reason about a figure with an unknown angle.

Khan Academy Videos

Construct Triangle with Constraints

Triangle Inequality Theorem

Khan Academy Practice

Triangle Side Length Rules

Digital Manipulative

7.1 Where is Lin?

7.2 How Long is the Third Side?

7.3 Swinging the Sides Around

Video Lesson Summary: G7U7V2 Drawing Polygons with Given Conditions From Illustrative Mathematics

Lesson 8:

Triangles with 3 Common Measures

Addressing:

NC.7.G.2

7th Grade Unpacking Document

I understand that changing which sides and angles are next to each other can make different triangles

Digital Manipulative

9.2 Does Your Triangle Match Theirs?

9.3 How Many Can you Draw?

Khan Academy Videos

Construct Triangle with Constraints

Triangle Inequality Theorem

YouTube Video

Unique Triangles

Khan Academy Practice

Triangle Side Length Rules

Video Lesson Summary: G7U7V2 Drawing Polygons with Given Conditions From Illustrative Mathematics

Lesson 9:

Drawing Triangles (Part 1)

Addressing:

NC.7.G.2

7th Grade Unpacking Document

Given two angle measures and one side length, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.

Khan Academy Video

Construct Right Isosceles Triangle

YouTube Video

Drawing Triangles

Khan Academy Practice

Constructive Triangles

Video Lesson Summary: G7U7V2 Drawing Polygons with Given Conditions From Illustrative Mathematics

Lesson 10:

Drawing Triangles (Part 2)

Addressing:

NC.7.G.2

7th Grade Unpacking Document

Given two side lengths and one angle measure, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.