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7.3 Measuring Circles

I can examine quotients and use a graph to decide whether two associated quantities are in a proportional relationship.
I understand that it can be difficult to measure the quantities in a proportional relationship accurately.

I can describe the characteristics that make a shape a circle.
I can identify the diameter, center, radius, and circumference of a circle.

I can describe the relationship between circumference and diameter of any circle.
I can explain what $\pi$ means.

I can choose an approximation for $\pi$ 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.

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 calculate the area of more complicated shapes that include fractions of circles.
I can write exact answers in terms of $\pi$.

I can decide whether a situation about a circle has to do with area or circumference.
I can use formulas for circumference and area of a circle to solve problems.

I can apply my understanding of area and circumference of circles to solve more complicated problems.