Unit 7 Exploring Angles and Angle Measurement

In Unit 7 students will:

  • Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
    • a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle.  An angle that turns through 1/360 of a circle is called a "one-degree angle"," and can be used to measure angles.
    • b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
  • Measure angles in whole-number degrees using a protractor.  Sketch angles of specified measure.
  • Recognize angle measure as additive.  When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts.  Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

By the end of Unit 7 your child should be able to answer the following questions:

  • How do angles relate to a circle, triangle or quadrilateral?
  • What does it mean to measure an angle?
  • How can you determine the measure of an angle separated into parts?

The following videos help explain some of the topics covered in Unit 7:

  • Types of Angles

  • To view the following LearnZillion Videos you will need to become a member. It is FREE to join and being a member allows you access to a large collection of LearnZillion videos.
  • To visit Learn Zillion and learn How to Compose and Decompose Angles
  • To visit Learn Zillion and learn How to Find Unknown Angles
  • To visit Learn Zillion and learn How to Write an Equation to Solve for missing Angles