Unit 3 End Assessment

Measuring Circles

3A: Circumference of a Circle

I understand that it can be difficult to measure the quantities in a proportional relationship accurately.I can examine quotients and use a graph to decide whether two associated quantities are in a proportional relationship.I can identify the diameter, center, radius, and circumference of a circle.I can describe the characteristics that make a shape a circle.I can describe the relationship between circumference and diameter of any circle.I can explain what π means.I can choose an approximation for π based on the situation or problem. If I know the radius, diameter, or circumference of a circle, I can find the other two.If I know the radius or diameter of a wheel, I can find the distance the wheel travels in some number of revolutions.

3B: Area of a Circle

I can calculate the area of a complicated shape by breaking it into shapes whose area I know how to calculate.If I know a circle’s radius or diameter, I can find an approximation for its area.I know whether or not the relationship between the diameter and area of a circle is proportional and can explain how I know.I can explain how the area of a circle and its circumference are related to each other.I know the formula for area of a circle.I can write exact answers in terms of π.I can calculate the area of more complicated shapes that include fractions of circles.