7.3 Measuring Circles

Lesson 1

  • 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.

Lesson 2

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

Lesson 3

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

Lesson 4

  • 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.

Lesson 5

  • If I know the radius or diameter of a wheel, I can find the distance the wheel travels in some number of revolutions.

Lesson 6

  • I can calculate the area of a complicated shape by breaking it into shapes whose area I know how to calculate.

Lesson 7

  • 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.

Lesson 8

  • 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.

Lesson 9

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

Lesson 10

  • 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.

Lesson 11

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