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IM K-5 Math
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6-8 Grade 7 Unit 7 Lesson 1

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K-5 Math •6-8 Math 9-12 Math

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Grade 6 •Grade 7 Grade 8

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Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 •Unit 7 Unit 8 Unit 9

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Lesson 1

1.1 Warm-up 1.2 Activity 1.3 Activity 1.4 Activity Student Lesson Summary Glossary

Unit 7, Lesson 1

Relationships of Angles

Grade 7

1.1

Warm-up

Visualizing Angles

Which angle is bigger?
Identify an obtuse angle in the diagram.

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Are You Ready for More?

1.2

Activity

Pattern Block Angles

Trace one copy of every different pattern block. Each block contains either 1 or 2 angles with different degree measures. Which blocks have only 1 unique angle? Which blocks have 2 unique angles?
If you trace three copies of the hexagon so that one vertex from each hexagon touches the same point, as shown, they fit together without any gaps or overlaps. Use this to figure out the degree measure of the angle inside the hexagon pattern block.
Figure out the degree measure of all of the other angles inside the pattern blocks that you traced in the first question. Be prepared to explain your reasoning.

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1.3

Activity

More Pattern Block Angles

Use pattern blocks to determine the measure of each of these angles.
Find as many different combinations of pattern blocks as you can that make a straight angle.

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1.4

Activity

Measuring Like This or That

Tyler and Priya were both measuring angle .

A protractor is pictured. An acute angle has T at 0 or 180 degrees, vertex at the center of the protractor, and S at the end of a line through 40 or 140 degrees.

Priya thinks the angle measures 40 degrees. Tyler thinks the angle measures 140 degrees. Do you agree with either of them? Explain your reasoning.

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Student Lesson Summary

When two lines intersect and form four equal angles, we call each one a right angle. A right angle measures . You can think of a right angle as a quarter turn in one direction or the other.

Two lines meet to form four angles. Each angle is marked 90 degrees, and with the symbol for perpendicular lines.

An angle in which the two sides form a straight line is called a straight angle. A straight angle measures . A straight angle can be made by putting right angles together. You can think of a straight angle as a half turn, so that you are facing in the opposite direction after you are done.

A straight line is indicated to be an angle with measure 180 degrees.

If you put two straight angles together, you get an angle that is . You can think of this angle as turning all the way around so that you are facing the same direction as when you started the turn.

A circle from a segment, around one endpoint, indicates that the measure is 360 degrees.

When two angles share a side and a vertex, and they don't overlap, we call them adjacent angles.

Glossary

adjacent angles

Adjacent angles share a side and a vertex.

In this diagram, angle is adjacent to angle .

Three segments all joined at endpoint B. Point A is to the left of B and segment A B is drawn. Point C is above B and segment C B is drawn. Point D is to the right of B and segment B D is drawn.

right angle

A right angle is half of a straight angle. It measures 90 degrees.

a right angle

straight angle

A straight angle is an angle that forms a straight line. It measures 180 degrees.

a 180 degree angle