F-BF.A. Build a function that models a relationship between two quantities.

• Exponential Parameters

F-BF.A.1. Write a function that describes a relationship between two quantities.

• 1,000 is half of 2,000
• A Sum of Functions
• Kimi and Jordan
• Lake Algae
• Skeleton Tower
• Summer Intern

F-BF.A.1.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.

• Compounding with a 100% Interest Rate
• Compounding with a 5% Interest Rate
• Susita's Account
• The Canoe Trip, Variation 1
• The Canoe Trip, Variation 2

F-BF.A.1.b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

• 1,000 is half of 2,000
• A Sum of Functions

F-BF.A.1.c. Compose functions. For example, if $T(y)$ is the temperature in the atmosphere as a function of height, and $h(t)$ is the height of a weather balloon as a function of time, then $T(h(t))$ is the temperature at the location of the weather balloon as a function of time.

• Building an Explicit Quadratic Function by Composition
• Crude Oil and Gas Mileage
• Flu on Campus
• Graphs of Compositions
• Temperature Conversions

F-BF.A.2. Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

• Snake on a Plane