Mathematics | Course : Model Mathematics I (Integrated Pathway)
Domain - Interpreting Functions
Cluster - Understand the concept of a function and use function notation.
[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.
- Fibonacci sequence
The sequence of numbers beginning with 1, 1, in which each number that follows is the sum of the previous two numbers, i.e., 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,.... - Function
A mathematical relation for which each element of the domain corresponds to exactly one element of the range. - Integer
All positive and negative whole numbers, including zero. - Sequence, progression
A set of elements ordered so that they can be labeled with consecutive positive integers starting with 1, e.g., 1, 3, 9, 27, 81. In this sequence, 1 is the first term, 3 is the second term, 9 is the third term, and so on.
[MI.F-IF.A.2] -
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. For example, given a function representing a car loan, determine the balance of the loan at different points in time.
[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.*