Lesson 12 Types of Angles

    • Let’s look at different types of angles.

Warm-up Number Talk: Fractions of 120 and 360

Find the value of each expression mentally.

Activity 1 Sorting Angles

In an earlier lesson, you and your partner drew some angles on cards.

Put the cards together and sort the angles into two groups. Be prepared to explain why you sort them the way you do.

Activity 2 What is It, Really?

  1. Mai and Jada are looking at this drawing. Jada says it is just a line. Mai says it is an angle.

    2 rays connected at their endpoints to form a straight line.

    With whom do you agree? Explain your reasoning.

  2. Tyler and Andre were measuring an angle in a letter Y.

    2 segments connected to form the letter y. 

    Andre said the angle he measured is obtuse. Tyler said the angle is acute.

    Explain why they could both be right.

Activity 3 Small Angles, Large Angles

Problem 1

Identify each angle as acute, right, obtuse, or straight.

  1. option a, angle, greater than 90 degrees.
  2. option b, angle, less than 90 degrees.
  3. Choice C. Angle. Less than 90 degrees.

  4. An angle formed by two angles.

  5. A angle

  6. An angle that is in a rectangle

  7. option G. Hexagon with all same side lengths and same angle sizes. One angle is marked.
  8. option h. triangle. One angle is marked.

  9. An angle composed of two right angles

Problem 2

Here is a drawing of the structure of a roof.

Find as many acute and obtuse angles as you can in the drawing.

Use an “A” to label acute angles, a square (◻) for right angles, and an “O” for obtuse angles.

drawing of the structure of a roof. Please ask for further assistance.

Problem 3

pattern blocks. From left to right. Green triangle, red trapezoid, blue rhombus, yellow hexagon, orange square.

  1. Diego is holding a pattern block that has 2 acute angles and 2 obtuse angles. Which pattern block could it be?

  2. He then picks up a pattern block with no obtuse angles. Which pattern block could he be picking up? Explain your reasoning.

Practice Problem

Problem 1

  1. Draw an acute angle. Explain how you know the angle is acute.

  2. Extend one of the rays of your angle in the opposite direction. Explain why you’ve now created a new angle that is obtuse.