Mathematics | Course : Model Mathematics I (Integrated Pathway)
Domain - Building Functions
Cluster - Build a function that models a relationship between two quantities.
[MI.F-BF.A.1.a] - Determine an explicit expression, a recursive process, or steps for calculation from a context.*
- Expression
A mathematical phrase that combines operations, numbers, and/or variables (e.g., 32 ÷ a). - Recursive pattern or sequence
A pattern or sequence wherein each successive term can be computed from some or all of the preceding terms by an algorithmic procedure.
[MI.F-IF.A.1] -
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
[MI.F-IF.B.6] -
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.*
[MI.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.*