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Mathematics > Course Model Mathematics III (Integrated Pathway) > Trigonometric Functions
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Mathematics | Course : Model Mathematics III (Integrated Pathway)

Domain - Trigonometric Functions

Cluster - Model periodic phenomena with trigonometric functions.

[MIII.F-TF.B.5] - Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*

Resources:


  • Midline
    In the graph of a trigonometric function, the horizontal line halfway between its maximum and minimum values.
  • Periodic phenomena
    Naturally recurring events, for example, ocean tides, machine cycles.
  • Trigonometric function
    A function (as the sine, cosine, tangent, cotangent, secant, or cosecant) of an arc or angle most simply expressed in terms of the ratios of pairs of sides of a right-angled triangle.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MI.F-IF.C.7.e
    Graph exponential functions, showing intercepts and end behavior.*
  • MI.F-BF.B.3
    Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include linear and exponential models. (Focus on vertical translations for exponential functions). Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.
  • MIII.F-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.*
  • MIII.F-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.
  • PC.F-TF.B.7
    (+) 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.*
  • AQR.F-TF.B.7
    (+) 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.*