Subject: - Currituck County Schools
|Subject: Advanced Functions & Modeling |Timeframe Needed for Completion: 9 Weeks |
|Grade Level: 10-12 | |
|Unit Title: Trigonometric Functions |Grading Period: 2nd Quarter |
|Big Idea/Theme: Functions |
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|Understandings: |
|Radian measures |
|Angular speed vs. linear speed |
|Basic trigonometric identities |
|Multiple definitions of trigonometric functions |
|Graphs of the sine and cosine functions |
|Graphs of other trigonometric functions |
|Use the Law of Sines and the Law of Cosines |
|Solutions of trigonometric equations |
|Essential Questions: |Curriculum Goals/Objectives (to be assessed at the end of the unit/quarter) |
|What types of functions can be used to model cyclical data? |Develop function definitions |
|When parameters are changed, how does the model change? |Develop basic identities |
|What calculations become different when triangles do not have a right angle? |Use trigonometric functions to solve problems (2.04) |
|Why would calculating the measures of oblique triangles be different from calculating the measures of |Create/identify transformations based on changes in parameters (2.04) |
|right triangles? |Develop/use the Law of Sines and Law of Cosines (2.04) |
|What basic knowledge can be used to develop most of what is essential to understanding trigonometry? |Use trig identities to solve problems (2.04) |
|Why is the unit circle such a valuable tool? |Calculate bearings (2.04) |
|What is different about calculating one’s bearing versus standard position angles? | |
|Essential Skills/Vocabulary: |Assessment Tasks: |
|Standard position of an angle |Convert between degrees and radians |
|Relationship between radians and degrees |Evaluate trigonometric functions for angles and real numbers |
|Right triangle definitions of trigonometric functions |Compute the reference angle for any angle |
|Definitions of trigonometric functions of any angle |Analyze a graph for amplitude, period, and shifts |
|Reference angles |Graph any trigonometric function with changes in amplitude, period, and phase shift |
|Definitions of trigonometric functions in terms of a unit circle |Evaluate inverse sine, cosine, and tangent functions |
|Amplitude, period, and phase shift |Categorize an oblique triangle as SAS, SSS, SSA, or AAS |
|The Law of Sines |Compute measures using the Law of Sines and the Law of Cosines |
|The Law of Cosines |Verify fundamental trig identities |
| |Develop and use sum and difference formulas as well as half-angle formulas |
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|Materials Suggestions: |
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