Standards

Measuring Circles Using the Radius - 2.6.3
  • HSF-TF.A Extend the domain of trigonometric functions using the unit circle. (2.6.3)
  • HSF-TF.A.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
Pythagorean Identity - 2.6.5
  • HSF-TF.A Extend the domain of trigonometric functions using the unit circle.
  • HSF-TF.A.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
Introduction to Trigonometric Functions - 2.6.9
  • HSF-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
  • HSF-TF.A Extend the domain of trigonometric functions using the unit circle.
Beyond - 2.6.10
  • HSF-TF.A.2 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.
Amplitude and Midline - 2.6.13
  • HSF-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
  • HSF-TF.A Extend the domain of trigonometric functions using the unit circle.
Modeling Circular Motion - 2.6.18
  • HSF-IF.B.4 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 behavior; and periodicity.
  • HSF-IF.C.7.e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
  • HSF-TF.A.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
  • HSF-TF.B.5 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
  • HSN-Q.A.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.