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 |

| |

|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 |

| | |

| | |

| | |

|Materials Suggestions: |

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download