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SolidWorks Lesson Template for Teachers to Contribute Cover Sheet for Exemplary Lessons/Units Project Faculty Member Name: M. Planchard Date: 4/17/06 School District: N/A School email address: N/A Title of Lesson/Unit: Unit Circle - Triangle Applicable for Trigonometry, PreCalculus, Calculus and Physics. _______________________________________________________________________ Science, Technology, Engineering and Math) STEM Concepts Addressed: This lesson develops the Unit circle of radius 1, x-axis and y-axis sketched on the unit circle and compares how these values are the solution to cosine and sine. The x coordinate of a hypotenuse of a right triangle on the unit circle is its cosine value. The y coordinate of the hypotenuse of a right triangle on a unit circle is its sine value. Length of instruction period: 50 minutes How many periods needed to implement lesson unit: ____<1 Grade Level(s) for use: all Objectives: 1. Understand the relationship between a right triangle and a unit circle when the hypotenuse rests on the unit circle. 2. Apply the x axis and y axis to the unit circle to illustrate the relationship between cosine and sine with x and y coordinates. 3. Illustrate how changes in the angle modify values of cosine and sine. After years of teaching Calculus and Physics, common triangle values for 30, 45 and 60 degrees should be known. In a pre-calculus or higher math based class values in 30 degree increments and in terms of PI/6 for sine, cosine and tangent should be memorized. Materials: SolidWorks, paper and pencil. Procedures: On the Front Plane, Sketch a Circle of radius 1, (Diameter equals 2). Click the For Construction Check box. Sketch a horizontal centerline that represents the x axis. Sketch a vertical centerline that represents the y axis. Sketch an angled line with one point at the origin and 1 point coincident with the circumference of the circle. Dimension the angle. Create a horizontal dimension from the Origin to the end of the angled line. Click Yes to make the dimension driven. Create a vertical dimension from the Origin to the end of the angled line. Modify the angular dimensions and the values for x and y change. Assessment: _On their own, have students calculate the values for sine and cosine using SolidWorks for common angles from 0 to 180 in 30 degree increments. ____________________________________________________________ Resources Used: ____N/A___ Copyrighted Materials: _____N/A_____ What materials did you employ from published sources?
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