Common Core State
HSF.TF.A4
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
October 1, 2018HSF.TF.B5
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
October 1, 2018HSF.TF.B6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
October 1, 2018HSF.TF.B7
(+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.*
October 1, 2018HSF.IF.C9
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
October 1, 2018HSF.IF.A1
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 … Read More “HSF.IF.A1”
October 1, 2018HSF.IF.A2
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
October 1, 2018HSF.IF.A3
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.
October 1, 2018HSF.IF.B4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end … Read More “HSF.IF.B4”
October 1, 2018HSF.IF.B5
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*
October 1, 2018HSF.IF.B6
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.*
October 1, 2018HSF.IF.C7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
October 1, 2018