Precalculus - 2008-2009 - Dr. Fred Kral - Bentley School

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Precalculus Homework Schedule - Chapter 6
Trigonometric Functions

HW#

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Actual
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PRECALCULUS
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          For reference (handed out in class): [Trigonometry Packet]
19     Sheet 6-1 Practice Worksheet 6-1: 1-6, 10, 12.  Angles on axes; Graph sin, cos.
20   Wed 12/2 6.4 256 Textbook: 2, 3, 4, 6; 9; 11, 13.  Amplitude, Period, Midline; Special angles.
21   Fri 12/5 6.4 256 Textbook: 9; 14, 15; 22, 23.  A, T, midline; Square root; Graphs.
    Wed 12/10     Quiz #63.  Section 6.4
22A   Mon 12/8 Sheet 6-2 Practice Worksheet 6-2: 1, 3, 4, 6, 7-10, 11, 12.  Amplitude, Period, Phase-shift, Horizontal Shift and graphs from formulas.
22B     2-1a   Exploration 2-1a.  Transformations.
23   Mon 12/15 6.5   FMC 6.5A: 1, 2, 14, 16, 18, 19, 32, 38a,b. Master formula for sine and cosine (tables, graphs, words).
    Wed 12/17 6.5   Quiz #64. on Sheet 6.5A. More explanations in the textbook.
24   Wed 12/17 6.5   Sheet FMC6.5A: 38a,b,c. Word problem.
25   in class     Practice Worksheet 6-4: 1-16.  In 712, find one or two exact values for each question.  Properties of inverses.
26A         If y=2sin(3t), find t exactly in degrees when y=1.
26B   Fri 12/17     In Example 4 on p.260, y=300cos(0.2π t)+600. Find first value of t in radians when y=400.
26C   in class     FMC 6.7A: 36, 29, 35. Inverse trig functions.
27   Fri 1/9/09     N75: Inverse Trig Worksheet (see packet).
    Fri 1/9/09 6.7   Quiz #65.  Section 6.7 and what is needed from 6.5.
28   due at
test
Ch6   Review for Test 4: 24 Textbook questions (+3 optional). Turn it in with the Test. 6.1 p.237: 29; 6.4 p.256: 3, 5, 7, 19, 20, 21; 6.5 p.264: 5, 7, 11, 13, 15, (17), (21), 23, 31, 32, (37);  6.7 p.280: 1, 3, 5, 7, 23, 34 (make t=0 be noon), 37, 39, 40a,b,c.
Answers: 6.4 p.257: 20 g(x) is first one; 6.5 p.265: 32 g(x)=sin(2πx)+2, where A=1.051 is more exact; 6.7 p.281: 34 d=11.4+5.8cos(πt/6.2), t=4.336hours, 4:20pm; Question 40 (a) π/3=60°, (b) 2π/3=120°(c) 1/2, (d) π/3=60°.
    Wed 1/14     Test 4, Chapter 6: Master formula and inverses. TI83 calculator allowed.  Closed book, closed notes, closed homework.  The master formula is provided on the test. Review homework is due at the time of the test.

 

Precalculus Homework Schedule - Chapter 8
Compositions and Inverses of Functions

HW#

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Actual
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PRECALCULUS
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61

  Tue 1/20 8.1 347 5, 7, 9, 13, 32* (compositions from formulas).  *=challenging and required
62   Fri 1/23 8.1 347 1 (table), 29* (graph), 41, 42, 47, 49 (decompositions), 58 (words). 
          Quiz #13 on 8.1
63   Mon 1/26 8.2 359 1, 3 (one to one), 5, 8 (check inverses), 9, 13, 17 (find inverses).
64   Mon 1/26 8.2 359 28, 29, 33 (inverses solve equations/review), 34 (table), 35 (graph), 41 (undoing), 43.
65   Mon 1/26 8.1,
8.R
347,
370
8.1, p. 347: 3 (compositions from table).
8.Review, p. 370: 1, 3, 5 (compositions); 7 (comp.&inv.).
          Quiz #14 on 8.1 and 8.2.
66A   Wed 1/28 8.R 370 Review Part A: 8.Review, p.370: 8, 9*, 13*, 15.  Do question 8, in order to practice the method. Ans: (x+7)/3.  Find inverses.
66B   Wed 1/28 8.R 371 Review Part B: 8.Review, p. 371: 18, 21 (decompositions); 35* (mix&match graphs); 39 (domain).  For question 35c and 35g, I don't agree with book answers.
66C   Wed 1/28 8.1 347 Review Part C: Also do this:  In 8.1, p. 347: Use Table 8.4 of Question 1 to construct both p-1 and q-1 (inverses of p and q) for all values of x for which each is defined.
67   Fri 1/30     More review.
• 8.1, p.347: 2, 6, 12, 22*, 46.
• 8.2, p.359: 2, 4, 6, 11, 19, 38, 40*.
• 8.Review, p.372: 35*, re-do question 35 by drawing all new graphs (a) through (g).   For question 35c and 35g, I don't agree with book answers. What answers do you get?
• Answers for Test 6 "More Review" Chapter 8.
    Fri 1/30     Formulas for inverses that need to be known for the test.
    Fri 1/30     All Review Work Due at the Time of the Test
    Fri 1/30     Test 5 - Chapter 8.  Closed book, closed notes; Calculator needed.  No notes.

 

Precalculus Homework Schedule
Linear Algebra

HW#

Planned
Date due         

Actual
Date Due         

Book

First Page

PRECALCULUS
Description

411   in class
Mon 2/2
PW   Practice Workbook, Chapter 4.  4.1,p.64: 1, 2.  4.2,p.67:2.  4.2,p.69:5,6,7,8.  Matrix addition and multiplication.
431   in class
Wed 2/4
PW   Practice Workbook, 4.3,p.72: 5,6,7,10. Determinants, Cramer's Rule, Solving 2x2 systems.
441   in class
Fri 2/6
    Practice Workbook, 4.4,p.73: 1,2,3.  Inverses.
451   in class
Fri 2/6
    Practice Workbook, 4.5,p.76: 1,2,3. Using inverses to solve 2x2 systems.
452   in class
Mon 2/9
    Practice Workbook, 4.5,p.78: 4,5. Using inverses to solve word problems with 3 unknowns.
453   Wed 2/11     Handout: Practice Worksheet 24: 1 by hand using Cramer's rule, 2 by hand using inverses, 3 and 6 with the calculator.
    Wed 2/11     Quiz.  Linear Algebra.  Both calculator and no calculator questions.
          No homework until Friday after Mini-term.

 

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