Standard #: MA.912.T.1.8 (Archived Standard)


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Solve real-world problems involving applications of trigonometric functions using graphing technology when appropriate.


Remarks


Example: The number of hours of daylight varies through the year in any location. A graph of the number of hours of daylight throughout the year is in the form of a sine wave. In a certain location the longest day of 14 hours is on Day 175 and the shortest day of 10 hours is on Day 355. Sketch a graph of this function and find its equation. Which other day has the same length as July 4 (Day 186)?

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Trigonometry
Standard: Trigonometric Functions - Extend the definitions of the trigonometric functions beyond right triangles using the unit circle, and measure angles in radians as well as degrees. Draw and analyze graphs of trigonometric functions (including finding period, amplitude, and phase shift), and use them to solve word problems. Define and graph inverse trigonometric functions, and determine values of both trigonometric and inverse trigonometric functions.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived

Related Resources

Lesson Plan

Name Description
Calculating the Earth-Sun distance using Satellite Observations of a Venus Transit

Every school child learns that the earth-sun distance is 93 million miles. Yet, determining this distance was a formidable challenge to the best scientists and mathematicians of the 18th and 19th centuries. The purpose of this lesson is to use the 2012 Transit of Venus as an opportunity to work through the mathematics to calculate the earth-sun distance. The only tools needed are basic knowledge of geometry, algebra, and trigonometry. The lesson is self-contained in that it includes all the data needed to work through the exercise.

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