Common Core State
HSF.TF.A2
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
October 1, 2018HSF.TF.A3
(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.
October 1, 2018HSF.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.IF.C8a
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
October 1, 2018HSF.IF.C8b
Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)12^t, y = (1.2)^t/10, and classify them as representing exponential growth or decay.
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, 2018