options: Use functions to model relationships between quantities.

Understand the concept of a function and use function notation.

Define, evaluate, and compare functions.

Build new functions from existing functions.

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

Interpret functions that arise in applications in terms of the context.

Interpret expressions for functions in terms of the situation they model.

Extend the domain of trigonometric functions using the unit circle.

Analyze functions using different representations.
problem_activity: Task
A penny is about $\frac{1}{16}$ of an inch thick.
In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
In the past 100 years, nearly 500 billion pennies have been minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
The distance from the moon to the earth is about 239,000 miles. How many pennies would need to be in a stack in order to reach the moon?


correct_option_index: 2