Lesson 5 What is an Angle?
Let’s look for angles and find out ways to describe them.
Warm-up Notice and Wonder: A Wall of Clocks
What do you notice? What do you wonder?
Activity 1 Tricky Figures
Work with a partner in this activity. Choose a role: A or B. Sit back to back, or use a divider to keep one person from seeing the other person’s work.
Your teacher will give you a card. Don’t show it to your partner.
Describe both images on the card—as clearly and precisely as possible—so that your partner can draw the same images.
Your partner will describe two images. Listen carefully to the descriptions.
Create the drawings as described. Follow the instructions as closely as possible.
When done, compare the drawings to the original images. Discuss:
Which parts were accurate? Which were off?
How could the descriptions be improved so the drawing could be more accurate?
Switch roles and repeat the exercise. Compare the drawings to the original images afterwards.
If you have time… Request two new cards from your teacher (one card at a time). Take turns describing and drawing the geometric figure on each card.
Activity 2 Angles or Not Angles?
Decide if each figure shows at least one angle. Explain or show your reasoning for each.
Clare and Kiran are looking at this diagram. Clare says there are no angles because the rays do not meet at a point. Kiran says he sees two angles.
Do you agree with either of them? How many angles do you see?
Activity 3 Discover Angles
Here are two figures.
Find 2–3 angles in each figure. Draw pairs of rays to show the angles.
Sketch a part of your classroom that has 2–3 angles. Draw pairs of rays to show the angles.
Find one angle in the figure. Draw a pair of rays to show the angle and extend them as far as you can.
Find another angle in the figure. Draw a pair of rays to show it. Extend the rays as far as you can. (If you’d like, you can use a different colored pencil for this pair of rays.)
Now that you have drawn some rays, do you see other angles that you didn’t see before? If you see one or more, label each one with a letter.