Common Core State
HSG.CO.A2
Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
October 1, 2018HSF.TF.A1
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
October 1, 2018HSF.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.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.LE.A1
Distinguish between situations that can be modeled with linear functions and with exponential functions.
October 1, 2018HSF.LE.A1a
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
October 1, 2018HSF.LE.A1b
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
October 1, 2018HSF.LE.A1c
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
October 1, 2018