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Illustrative Math
Grade 7
Let’s explore circles.
Illustrative Math Unit 7.3, Lesson 2 (printable worksheets)
The following diagram shows how to identify the diameter, center, radius, and circumference of a circle.
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.
Your teacher will give you some pictures of different objects.
On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The sun has a radius of about 865,000 kilometers.
Could the Earth’s orbit be a circle with some point in the Sun as its center? Explain your reasoning.
The diameter of the circle would be 147,500,000 + 152,500,000 + 865,000 = 300,865,000
The radius of the circle would be 300,865,000 ÷ 2 = 150,432,500 km.
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.
Spend some time familiarizing yourself with the tools that are available in this applet.
Show Applet
Draw and label each circle.
Circle A, with a diameter of 6 cm.
Circle B, with a radius of 5 cm.
Circle C, with a radius that is equal to Circle A’s diameter.
Circle D, with a diameter that is equal to Circle B’s radius. Pause here so your teacher can review your work.
Use a compass to recreate one of these designs.
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
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