Unit 7

Angles and Angle Measurement

Unit Goals

Unit Narrative

In this unit, students deepen and refine their understanding of geometric figures and measurement.

In earlier grades, students learned about two-dimensional shapes and their attributes, which they described informally early on but with increasing precision over time. Here, students formalize their intuitive knowledge about geometric features and draw them. They identify and define some building blocks of geometry (points, lines, rays, and line segments), and develop concepts and language to more precisely describe and reason about other geometric figures.

Jada says Figure A shows an angle,
but Figure B does...

Section A

Section Goals

Section Narrative

This section introduces students to some building blocks of geometric figures and the language to describe them. Students start by describing images that contain lines for others to draw, and draw images by relying only on others’ descriptions. The experience motivates a need for more precise vocabulary to describe geometric parts. Students learn to distinguish points as locations in space,...

Let’s draw and describe geometric figures.

Let’s draw points, lines, line segments, and rays.

Let’s look at lines that cross and lines that don’t.

Let’s find parallel and intersecting lines all around us.

Let’s look for angles and find out ways to describe them.

Section A Practice Problems

to access Section Checkpoints.

Section A

Let’s draw and describe geometric figures.

Let’s draw points, lines, line segments, and rays.

Let’s look at lines that cross and lines that don’t.

Let’s find parallel and intersecting lines all around us.

Let’s look for angles and find out ways to describe them.

Section B

Section Goals

Section Narrative

In this section, students learn two main ideas: that angles can be measured, with degrees () as the unit of measurement, and that angles can be composed and decomposed, and are therefore additive. They also learn to use a protractor to measure and draw angles.

Students begin by comparing angles visually and exploring ways to describe their sizes. They...

Let’s think about how to compare and describe angles.

Let’s describe angles, using the hands of a clock.

Let’s describe the size of an angle, using degrees.

Let’s use some tools to measure angles.

Let’s measure all kinds of angles.

Let’s draw some angles.

Section B Practice Problems

to access Section Checkpoints.

Section B

Let’s think about how to compare and describe angles.

Let’s describe angles, using the hands of a clock.

Let’s describe the size of an angle, using degrees.

Let’s use some tools to measure angles.

Let’s measure all kinds of angles.

Let’s draw some angles.

Section C

Section Goals

Section Narrative

In this section, students continue to draw and analyze angles and reason about their measurements.

They first classify angles by size and identify acute, obtuse, and straight angles. Then they further develop the idea that angles are additive by composing and decomposing angles, using tactile tools and drawings, and writing expressions or equations to support their reasoning.

Students solve problems...

Let’s look at different types of angles.

Let’s compose and decompose angles to find their measurements.

Let’s find the size of an angle on the clock.

Let’s figure out missing angle measurements.

Let’s investigate streets and steps.

Section C Practice Problems

to access Section Checkpoints.

Section C

Let’s look at different types of angles.

Let’s compose and decompose angles to find their measurements.

Let’s find the size of an angle on the clock.

Let’s figure out missing angle measurements.

Let’s investigate streets and steps.

to access End-of-Unit Assessments.

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Angles and Angle Measurement

Unit Goals

Unit Narrative

Section Goals

Section Narrative

Section A Practice Problems

Section Goals

Section Narrative

Section B Practice Problems

Section Goals

Section Narrative

Section C Practice Problems

Unit 7 Resources

About Unit 7

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Section Goals

Section Narrative

Section B Practice Problems

Section Goals

Section Narrative

Section A Practice Problems

Section Goals

Section Narrative

Section C Practice Problems