Standards for the week are listed at the end of this post.
Test - Tuesday of next week.
Monday - Today I spend the first half of the class period discussing the secant and cosecant functions. I had the students graph the sin and cos functions on separate coordinate planes and then they used colored pencils to manipulate the cos and sin functions into the secant and cosecant functions respectively. We also revisited the concepts of amplitude, period, vertical displacement, and phase shift. We discussed why the zeros on the sin and cos graphs become asymptotes on the csc and sec graphs, how often the asymptotes occur on each graph and discussed how to graph each by using the sin and cos parent graphs.
Homework: Page 419 # 1,4,6,7,8,13-20all,23,26,27,28,30,33,36,39,40
I will not be available for after school help tomorrow, Tuesday, February 2nd as earlier anticipated.
Tuesday - Today we learned how to graph the tan and cot functions. (I was unable to post this until Wednesday due to a run-in with a deer Tuesday after school).
Homework: Page 419 #2,3,5,9,11,21,25,29,31,35,37,38,69,70,72,73
Wednesday - Today we reviewed tan and cot functions. We will have a quiz tomorrow over sin, cos, csc, sec, tan, and cot functions. Students will need to be able to graph a function and/or write the equation of the function given certain pieces of information such as amp, period, phase shift, and vertical displacement. They should use their knowledge of what they know about the parent graphs of these functions in oder to graph transformations of these functions.
Homework: Review Problems in prepartaion for quiz (not mandatory but quite helpful. . .) Page 448 #89-112 and 117-136
Thursday - Quiz 5.4 - 5.5
Homework: Finish up the sinusoidal word problems.
Friday - Test - Tuesday of next week. Quizzes will most likely be given back on Monday. Students should look over previous homework assignments in preparation for Thursday's test in order to gather remaining questions they may have. I am available each day after school for extra help.
Unit Circle Timed Quiz on Monday. The following links may prove helpful. . .
USEFUL STUFF FOR TRIG:
Download Trig Graph Paper
Download Trig Identities
Download Things to Memorize for Trig
Download Unit_Circle
(Download Blank Unit Circle)http://www.embeddedmath.com/downloads/files/unitcircle/blankunitcircle-letter.pdf
Download Trig Graphs
More trig graph paper www.mathnstuff.com/papers/sheet/trig.htm
One Large Trig Graph http://www.jackson-ind.k12.ky.us/School/Teachers/Coots/Trig%20Graph%20paper.pdf (Used for sin/cos in class)
Listed below are sites that will offer extra help, if you're willing to take the time to look at them
Inverse Functions (ArcSin, ArcCos, ArcTan): We discussed why the domain of the sin, cos, and tan functions must be restricted in order to have the inverse functions. (If we didn't restrict the domains, the resulting inverse wouldn't be a function at all!) We looked at the inverse sin, inverse cos, and inverse tan graphs and discussed how to evaluate an inverse trig function.
Homework:
- Be prepared to turn in word problems on Monday!
- Page 429 #4-7all,9-15odd,27,31-37odd,61,62, 71,72,76
Standards for the week:
MM4A3. Students will investigate and use the graphs of the six trigonometric
functions.
a. Understand and apply the six basic trigonometric functions as functions of
real numbers.
b. Determine the characteristics of the graphs of the six basic trigonometric
functions.
c. Graph transformations of trigonometric functions including changing period,
amplitude, phase shift, and vertical shift.
d. Apply graphs of trigonometric functions in realistic contexts involving
periodic phenomena.
