Midcontinent Research for Education and Learning
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Common Core Mathematics 912
Cluster
Build a function that models a relationship between two quantities
Grade 912
F.BF.1.
Write a function that describes a relationship between two quantities.
F.BF.1.a.
Determine an explicit expression, a recursive process, or steps for calculation from a context.
F.BF.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.
F.BF.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.
F.BF.2.
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.