Illustrative Math Circle

Diego made a graph of two quantities that he measured and said, “The points all lie on a line except one, which is a little bit above the line. This means that the quantities can’t be proportional.” Do you agree with Diego? Explain.

• I don’t agree with Diego, since the quantities could be proportional if the line goes through the origin. Measurements are not perfect and the relationship could be proportional.

• I don't agree with Diego, since the quantities could not be proportional if the line goes though the origin. Measurements are perfect and the relationship can not be proportional.

• I agree with Diego, since the quantities could be proportional if the line goes through the origin. Measurements are not perfect and the relationship could be proportional.

• I agree with Diego, since the quantities could not be proportional if the line goes though the origin. Measurements are perfect and the relationship can not be proportional.

Tags

CCSS.8.EE.B.5

Here is a circle with center H and some line segments and curves joining points on the circle. Identify examples of diameter.

• Segment AE

• Segment DC

• Segment DG

• Segment GH

Here is a circle with center H and some line segments and curves joining points on the circle. Identify examples of radius.

• GH

• AH

• EH

• DH

What is the circumference of the hula hoop?

• 90 in

• 17.5 in

• 35 in

• 110 in

Tags

CCSS.7.G.B.4

What is the diameter of the circular pond?

• 88.5 ft

• 177 ft

• 555.78 ft

• 200 ft

Tags

CCSS.7.G.B.4

What is the circumference of the magnifying glass?

• 16 cm

• 8 cm

• 64 cm

• 48 cm

Tags

CCSS.7.G.B.4

What is the diameter of the car tire?

• 22.8 cm

• 35.8 in

• 22.8 in

• 35.8 cm

Tags

CCSS.7.G.B.4

The Ferris Wheel has a diameter of 80 meters. How far does a rider travel in one complete rotation?

• 251 m

• 750 m

• 80 m

• 240 m

Tags

CCSS.7.G.B.4

The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?

• 405 in

• 106 in

• 81 in

• 1272 in

Tags

CCSS.4.MD.A.2

Find the area of the polygon.

• 12 squared centimeters

• 20 squared centimeters

• 22 squared centimeters

• 18 squared centimeters