Illustrative Mathematics | v.360 Curriculum

Problem 1

Diego measured the diameter and circumference of several circular objects and recorded his measurements in the table.

object	diameter (cm)	circumference (cm)
half dollar coin	3	10
flying disc	23	28
jar lid	8	25
flower pot	15	48

One of his measurements is inaccurate. Which measurement is it? Explain how you know.

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Problem 2

Complete the table. Use one of the approximate values for \(\pi\) discussed in class (for example 3.14, \(\frac{22}{7}\), 3.1416). Explain or show your reasoning.

object	diameter	circumference
hula hoop	35 in
circular pond		556 ft
magnifying glass	5.2 cm
car tire		71.6 in

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Problem 3

ForLesson 2: Exploring Circles

\(A\) is the center of the circle, and the length of \(CD\) is 15 centimeters.

Name a segment that is a radius. How long is it?
Name a segment that is a diameter. How long is it?

A circle with center point A. Diameter CD, 15 cm. Points on the circle are C, E, G, B, D.

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Problem 4

ForLesson 10: Introducing Graphs of Proportional Relationships

Consider the equation \(y=1.5x +2\). Find four pairs of \(x\) and \(y\) values that make the equation true. Plot the points \((x, y)\) on the coordinate plane.
Based on the graph, can this be a proportional relationship? Why or why not?

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Exploring Circumference

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Problem 1

Problem 2

Problem 3

Problem 4

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