High School: Functions
HSF.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.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.C7d
(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
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.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.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.C8
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
October 1, 2018HSF.IF.C7e
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
October 1, 2018HSF.IF.C7c
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
October 1, 2018