Download Unit 5 Trig Functions

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.