Unit 3: My Reflections

Lesson 1: How Well Can You Measure?

• 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.

Lesson 2: Exploring Circles

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

Lesson 3: Exploring Circumference

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

Lesson 4: Applying Circumference

• 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: Circumference and Wheels

• 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: Estimating Areas

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

Lesson 7: Exploring the Area of a Circle

• 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: Relating Area to Circumference

• 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: Applying Area of Circles

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

Lesson 10: Distinguishing Circumference and Area

• 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: Stained-Glass Windows

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