Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Unit 5: Trigonometry Functions May 4 Properties of Periodic Functions Self-directed learning of the properties of periodic functions We learn the properties of periodic functions and using the terms as following to analyze a function. amplitude, cycle, max, min, period, axis of curve (midline) Homework: Read TB 286 – 287 Example 1, 2 and 3 Work: TB 290 -293 #1-2. #6, #8-11, #18 -22 May 5 5.2 Investigation: Unwrapping the Unit Circle (Sine, Cosine and Tangent) We learn the properties of sine, cosine and tangent functions and apply the terms to analyze a function. Conversion between cosine and sine based on quarter shifts Homework: Finish the investigation in class and find the 5 key points TB 299 #1, #2, 3, 4, #6, 7, 8, 9, 10, 11 Handout TB320 #13 May 6 5.3 Transformations of Periodic Function Homework: handouts TB 309:#1ab, 2cd, 3L, #6ac, 7bc, #8a iii and iv, b, #9 ai, ii and b #11 a) b) using transformations of key points We learn the vertical and horizontal translations of periodic function specifically for sine and cosine functions May 7 5.4.1Transformations of Periodic Function We learn the vertical and horizontal stretches of periodic function specifically for sine and cosine functions. (e.g. finding the ¼period and key points) Phase shift and vertical shift How to sketch periodic functions quickly May 11 5.4.2 Naming Periodic Function (2) We learn to come up with the equation to Homework: TB318 #1 – 4 #8, 9, 11ab, 12ab, 13a Homework: handouts + textbook a periodic function by finding the period (k), axis of curve (q), phase shift (p) and amplitude (a). p.318-321 #5, 6,7,14ab, 16, 17, 19, 21, 22 May 12 Solving Trigonometric Function I We learn to find the angle of a given trigonometric function. We learn special triangle and unit circle to determine the ratios of 45, 30 and 60. CP 181, 182(classwork) CP183 + p. 408 #2, 3, 5, 11 OR Handout on Solving Trig Equations II May 13 Solving Trigonometric Function II Handout We learn to solve trigonometric equation by graphing the horizontal line. When k != 1, find all the solutions according to restrictions Special cases May 14 Trigonometric Application (1) We apply concepts on trigonometric functions and learn to come up with an equation. May 15 Trigonometric Application (2) We apply concepts on graphing trigonometric functions and learn to come up with an equation with a given situation. 9 stations worksheet. May 19 Review Homework: Handouts TB328 -332 Homework: #12-16 as indicated on the handout Write out all the solutions to the station problems. Review questions p.418419 #1-12, p. 412 #5-9, 13, 15, 24, 30-32 (skip radian questions or use 180 degrees = pi radians to convert) Focus on review package Review May 20 Unit 4 Test Review by practice chapter test.