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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 - Extend the domain of trigonometric functions using the unit circle.

[MIII.F-TF.A.1] - Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Resources:

    Predecessor Standards:

    • 4.MD.C.5
      Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
    • 4.MD.C.5.a
      An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
    • 4.MD.C.5.b
      An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

    Successor Standards:

    No Successor Standards found.

    Same Level Standards:

    • MI.G-CO.A.1
      Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
    • MII.G-C.B.5
      Derive, using similarity, the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
    • 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.