Mathematics MA2015 (2016) Grade: 9-12 Precalculus | 16 ) 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. Determine odd, even, neither.*)* [F-IF4] (Alabama) |

Mathematics MA2015 (2016) Grade: 9-12 Algebra II with Trigonometry | 34 ) Identify the effect on the graph of replacing *f*(*x*) by *f*(*x*) + *k*, *k* *f*(*x*), *f*(*kx*), and *f*(*x* + *k*) for specific values of *k* (both positive and negative); find the value of *k* given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
[F-BF3] |

Mathematics MA2015 (2016) Grade: 9-12 Algebra II with Trigonometry | 37 ) Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. [F-TF1] |

Mathematics MA2015 (2016) Grade: 9-12 Algebra II with Trigonometry | 38 ) 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. [F-TF2] |

Mathematics MA2015 (2016) Grade: 9-12 Algebra II with Trigonometry | 40 ) Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.* [F-TF5] |

Mathematics MA2015 (2016) Grade: 9-12 Precalculus | 26 ) Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama) |

Mathematics MA2015 (2016) Grade: 9-12 Precalculus | 29 ) (+) Use special triangles to determine geometrically the values of sine, cosine, and tangent for ^{π}/_{3}, ^{π}/_{4}, and ^{π}/_{6}, and use the unit circle to express the values of sine, cosine, and tangent for π - *x*,
π + *x*, and 2π - *x* in terms of their values for *x*, where *x* is any real number. [F-TF3] |

Mathematics MA2015 (2016) Grade: 9-12 Precalculus | 30 ) (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. [F-TF4] |