Measuring Circles Using the Radius - 2.6.3[br][list][*]HSF-TF.A Extend the domain of trigonometric functions using the unit[br]circle. (2.6.3)[br][/*][*]HSF-TF.A.1 Understand radian measure of an angle as the length of the[br]arc on the unit circle subtended by the angle. [/*][/list][br]Pythagorean Identity - 2.6.5[br][list][*]HSF-TF.A Extend the domain of trigonometric functions using the unit[br]circle. [br][/*][*]HSF-TF.A.1 Understand radian measure of an angle as the length of the[br]arc on the unit circle subtended by the angle.[br][/*][/list][br]Introduction to Trigonometric Functions - 2.6.9[br][list][*]HSF-IF.C.7 Graph functions expressed symbolically and show key[br]features of the graph, by hand in simple cases and using technology for[br]more complicated cases.[br][/*][*]HSF-TF.A Extend the domain of trigonometric functions using the[br]unit circle.[br][br][/*][/list]Beyond [math]2\pi[/math] - 2.6.10[br][list][*]HSF-TF.A.2 Explain how the unit circle in the coordinate plane enables[br]the extension of trigonometric functions to all real numbers, interpreted[br]as radian measures of angles traversed counterclockwise around the[br]unit circle. [br][/*][/list][br]Amplitude and Midline - 2.6.13[br][list][*]HSF-IF.C.7 Graph functions expressed symbolically and show key[br]features of the graph, by hand in simple cases and using technology for[br]more complicated cases.[br][/*][*]HSF-TF.A Extend the domain of trigonometric functions using the[br]unit circle.[br][/*][/list][br]Modeling Circular Motion - 2.6.18[br][list][*]HSF-IF.B.4 For a function that models a relationship between two[br]quantities, interpret key features of graphs and tables in terms of the[br]quantities, and sketch graphs showing key features given a verbal[br]description of the relationship. Key features include: intercepts; intervals[br]where the function is increasing, decreasing, positive, or negative;[br]relative maximums and minimums; symmetries; end behavior; and[br]periodicity.[/*][*]HSF-IF.C.7.e Graph exponential and logarithmic functions, showing[br]intercepts and end behavior, and trigonometric functions, showing period,[br]midline, and amplitude.[/*][*]HSF-TF.A.1 Understand radian measure of an angle as the length of the[br]arc on the unit circle subtended by the angle.[/*][*]HSF-TF.B.5 Choose trigonometric functions to model periodic[br]phenomena with specified amplitude, frequency, and midline.[/*][*]HSN-Q.A.1 Use units as a way to understand problems and to guide the[br]solution of multi-step problems; choose and interpret units consistently in[br]formulas; choose and interpret the scale and the origin in graphs and data[br]displays.[/*][/list]