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IM: 7.3.2: Exploring Circles (Lesson)

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Last updated over 1 year ago
8 Nsɛmmisa
2.1: How Do You Figure?
2.2: Sorting Round Objects

Your teacher will give you some pictures of different objects.

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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.

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Put the circular objects in order from smallest to largest.

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Are you ready for more?

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2.3: Measuring Circles
2.4: Drawing Circles

Here are two figures.

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

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Sketch what Figure C might look like.

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2.

Explain your reasoning.

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3.

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

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4.

What are some characteristics that all circles have in common?

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5.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

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.

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7.

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

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8.

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

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.