Trigonometry (Triangle and Circular Functions): Precalculus: TI Math Nspired

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Trigonometry (Triangle and Circular Functions)

This unit introduces the six basic trigonometric functions, both as ratios of side lengths of right triangles and then transitioning to their definitions based on "wrapping" around a circle.

Precalculus: Trigonometry (Triangle and Circular Functions) Activities

Title
Radian Measure This lesson involves exploring the relationship between the central angle, the arc, and the radius of a circle. Standards \| Textbook	3014	14
Triangle Trigonometry and Circles This lesson involves the ratios of side lengths of triangles with invariant angle measures and the relationships to trigonometric functions of an angle. Standards \| Textbook	2556	11
The Unit Circle Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle. Standards \| Textbook	29	2
Basic Trigonometric Transformations This lesson involves manipulating sliders to change the values of parameters in trigonometric functions and determining the effect that each change has upon the shape of the graph. Standards \| Textbook	2846	14
Graphs of the OTHER Trig Functions This lesson involves providing opportunities for students to explore and make sense of the graphs of the cotangent, secant, and cosecant functions. Standards \| Textbook	2685	9
Identifying Sinusoidal Graphs This lesson involves examining graphs, or partial graphs, of sinusoidal functions to determine the values of their parameters and to express them in various ways involving sine and cosine functions. Standards \| Textbook	2322	10
Trigonometric Transformations Students will use a slider to animate the graphing of a function of time that models the height of a capsule on the London Eye observation wheel as the wheel turns. Students will discover the concepts of amplitude, frequency, period, and midline. Students will create an appropriate equation to model the height of a capsule on the wheel. Standards \| Textbook	2735	9
Slope and Tangent This lesson provides opportunities for students to explore the connections between the slope of a line and the tangent of the angle between the line and the horizontal. Standards \| Textbook	2482	10

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