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.2] - Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.*
[MI.F-IF.A.3] -
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + f(n - 1) for n = 1.
[MI.F-BF.A.1.a] -
Determine an explicit expression, a recursive process, or steps for calculation from a context.*
[MI.F-LE.A.1] -
Distinguish between situations that can be modeled with linear functions and with exponential functions.*
[MI.F-LE.A.1.a] -
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.*
[MI.F-LE.A.1.b] -
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.*
[MI.F-LE.A.1.c] -
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.*
[MI.F-LE.A.2] -
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table).*