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IM: 7.3.2: Exploring Circles (Lesson)

By Newsela Staff
Last updated 2 months ago
8 Questions
2.1: How Do You Figure?
Here are two figures.

Figure C looks more like Figure A than like Figure B.
1.

Sketch what Figure C might look like.

2.

Explain your reasoning.

2.2: Sorting Round Objects
Your teacher will give you some pictures of different objects.
3.

How could you sort these pictures into two groups? Be prepared to share your reasoning.

Work with your partner to sort the pictures into the categories that your class has agreed on. Pause here so your teacher can review your work.
4.

What are some characteristics that all circles have in common?

Put the circular objects in order from smallest to largest.
5.

Select one of the pictures of a circular object. What are some ways you could measure the actual size of your circle?

Are you ready for more?
6.

On January 3rd, Earth is 147,500,000 kilometers away from the Sun. On July 4th, Earth is 152,500,000 kilometers away from the Sun. The Sun has a radius of about 865,000 kilometers.


Could Earth’s orbit be a circle with some point in the Sun as its center? Explain your reasoning.

2.3: Measuring Circles
Priya, Han, and Mai each measured one of the circular objects from earlier.
  • Priya says that the bike wheel is 24 inches.
  • Han says that the yo-yo trick is 24 inches.
  • Mai says that the glow necklace is 24 inches.
7.

Do you think that all these circles are the same size?

8.

What part of the circle did each person measure? Explain your reasoning.

2.4: Drawing Circles
Spend some time familiarizing yourself with the tools that are available in this applet.

https://curriculum.illustrativemathematics.org/MS/students/2/3/2/index.html

[Scroll to the tool under "2.4 Drawing Circles"]
Draw and label each circle.
  1. Circle A, with a diameter of 6 cm.
  2. Circle B, with a radius of 5 cm. Pause here so your teacher can review your work.
  3. Circle C, with a radius that is equal to Circle A’s diameter.
  4. Circle D, with a diameter that is equal to Circle B’s radius.
  5. Use a compass to recreate one of these designs.