Build a function that models a relationship between two quantities1. Write a function that describes a relationship between two quantities.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.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.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.
State Standard
CCSS
Grade Level
9 10 11 12
Learning Targets
Long Term Learning Target:
(Algebra 1, Linear & Exponential Relationships) I can write, evaluate, graph, and interpret linear and exponential functions that model the relationship between two quantities.
Target ID
2 729
Assessments
Supporting Targets
Long Term Learning Target:
(Algebra 1, Quadratic equations) I can describe a real-world context using a quadratic model.
Target ID
4 793
Assessments
Supporting Targets
Long Term Learning Target:
(Algebra 2) I can determine the appropriate method for writing a function that describes the relationship between two quantities. This means:
Target ID
4 822
Assessments
Supporting Targets
I can determine an explicit expression, a recursive process, or steps for calculation appropriate to the context. I can combine standard function types using arithmetic operations. I can compose functions and determine the meaning of that composition.
Discipline
Mathematics