IM 7.3.2 Lesson: Exploring Circles
Here are two figures. Figure C looks more like Figure A than like Figure B. Sketch what Figure C might look like.
Explain your reasoning.
Sort these pictures into two groups.
Explain why you sorted the objects like you did.
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.
What are some characteristics that all circles have in common?
Put the circular objects in order from smallest to largest.
Select one of the pictures of a circular object. What are some ways you could measure the actual size of your circle?
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.
Do you think that all these circles are the same size? 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. Then draw and label Circle A, with a diameter of 6 cm.
Draw and label Circle B, with a radius of 5 cm. Pause here so your teacher can review your work.
Draw and label Circle C, with a radius that is equal to Circle A’s diameter.
Draw and label Circle D, with a diameter that is equal to Circle B’s radius.
