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Common Core: Math
CCLS - Math: F.TF.2
- Trigonometric Functions
- Extend The Domain Of Trigonometric Functions Using The Unit Circle
- State Standard:
- 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.
- In this topic, students develop an understanding of the six basic trigonometric functions as functions of the amount of rotation of a point on the unit circle (F-TF.A.1), and then translate that...
- Student Outcomes Students define the secant function and the co-functions in terms of points on the unit circle. They relate these names for these functions to the geometric relationships among lines...
- Student Outcomes Students define the tangent function and understand the historic reason for its name. Students use special triangles to determine geometrically the values of the tangent function for...
- Student Outcomes Students will define sine and cosine as functions for all real numbers measured in degrees. Students will evaluate the sine and cosine functions at multiples of 30 and 45.
- Student Outcomes Students will define sine and cosine as functions for degrees of rotation of the ray formed by the positive -axis up to one full turn. Students use special triangles to geometrically...
- Student Outcomes Students explore the historical context of trigonometry as motion of celestial bodies in a presumed circular arc. Students describe the position of an object along a line of sight in...
- Student Outcomes Students model and graph two functions given by the location of a passenger car on a Ferris wheel as it is rotated a number of degrees about the origin from an initial reference...
- Student Outcomes Students apply geometric concepts in modeling situations. Specifically, they find distances between points of a circle and a given line to represent the height above the ground of a...
- Module 2 builds on students’ previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of...