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. [br]
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 [b]circles [/b]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.[br][br][img]data:image/png;base64,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[/img][br][br]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.[br][list][*]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.[/*][/list][br]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.
Use a compass app below to recreate one of these designs.[br][img]data:image/png;base64,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[/img]

IM 7.3.2 Practice: Exploring Circles

Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle.
Here is a circle with center H and some line segments and curves joining points on the circle.
Identify example(s) of a diameter. Explain your reasoning.
Identify example(s) of a radius. Explain your reasoning.
Lin measured the diameter of a circle in two different directions. Measuring vertically, she got 3.5 cm, and measuring horizontally, she got 3.6 cm. Explain some possible reasons why these measurements differ.
A small, test batch of lemonade used [math]\frac{1}{4}[/math] cup of sugar added to 1 cup of water and [math]\frac{1}{4}[/math] cup of lemon juice. After confirming it tasted good, a larger batch is going to be made with the same ratios using 10 cups of water. How much sugar should be added so that the large batch tastes the same as the test batch?
The graph of a proportional relationship contains the point with coordinates [math]\left(3,12\right)[/math]. What is the constant of proportionality of the relationship?

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