Unit 7, Lesson 1
Relationships of Angles
Grade 7
Preparation
Lesson Narrative
In this lesson, students gain hands-on experience composing, decomposing, and measuring angles. Students connect vocabulary such as right angles and straight angles with their degree measures, as well as the description of going all the way around a point as 360 degrees. Students fit pattern blocks around a point using these relationships to determine the unknown angles on the remaining pattern blocks. Students use the structure of the blocks completely going around a point with no gaps to solve for the angles (MP7).
- Comprehend that the word “degrees” (in spoken and written language) and the symbol $^\circ$ (in written language) refer to the amount of turn between two different directions.
- Determine the angle measures of pattern blocks, and explain (orally) the reasoning.
- Recognize $180^\circ$ and $360^\circ$ angles, and identify when adjacent angles add up to these amounts.
Let’s examine some special angles.
Required Preparation
Prepare one set of pattern blocks for each group of 3–4 students, include blocks consisting of at least 3 yellow hexagons and 6 of each of the other shapes.
For the digital version of the activity, acquire devices that can run the applet.
For the digital version of the activity, acquire devices that can run the applet.
Adjacent angles share a side and a vertex.
In this diagram, angle is adjacent to angle .