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

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Precalculus Homework Schedule - Chapter 10
Vectors

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PRECALCULUS
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          Trimester 2 homework schedule

81

  Fri 3/13 6.T 292 6.Tools: 1(added), 11-16, 18, 19(added), 22, 23, 25. For questions 11-16,   x=q means solve for x and "exact"=don't find value, say, of sin(17°), just leave it as sin(17°).  Right triangles.
    Fri 3/13     Quiz #101 on right-angle trigonometry and special angles (30, 45 and 60 degrees).  No calculator, no notes, no special angles given.
82   Mon 3/16 10.1 443 1-4, 6-7 (for 6-7: sketch approximately).  Scalar/Vector; Add, subtract, and multiply by scalar.
83   Wed 3/18 81   Practice Worksheet 8-1: Questions 1, 3, 5-7.  Draw sums, find magnitude, angle to horizontal (="amplitude"); Horizontal and Vertical components. [Vector Practice Worksheets 81 to 84]
1012   Fri 3/20 10.1,
10.2
  Sheet #1012: Practice on Vectors and Components [Questions] - [Answers].
84   Mon 3/23 82   Practice Worksheet 82: 1-3, 6-10.  Algebraic vectors. Ordered pairs (vxvy).  Magnitude.
85   Mon 3/23 83   Practice Worksheet 83: 511.  Three dimensions. Unit vectors i, j, k.
    Mon 3/23 83   PW 83: 1, 3, 12.  Done in class.
86A   Wed 3/25 10.2 448 1, 3, 5, 7, 9, 10, 13abcde, 17 (why?).  Components.
86B   Wed 3/25 (10.2)   Do this: Find the usual angle θ in degrees relative to the x-axis. A. = 2i + 2j.  B. u = i − j. C. w = −3i − 2j.  Angles from components.
    Wed 3/25     Quiz on all Worksheet and Textbook material through HW#86B.
87     84   Practice Worksheet 8-4: 1, 2, 3, 8, 9. Dot products.  Optional, in class: (10), (13) Cross products.
88   Fri 3/27 10.4 460 5, 7, 8, 13*, 14 (angle).  Dot products.  Angles.
*=more difficult and required
89   Mon 3/30 10.1-
10.4
  Review A: 10.1, p.443: 9; 10.2, p.448: 11, 13f, 15, 21; 10.4, p.460: 1, 3, 17.
90   Mon 3/30     Review B: 10.Review, p.471: 1, 3, 9, 11, 13, 15, 17*; 34.
*=more difficult and required
91   Mon 3/30     Review C: 10.1, p.443: 11; 10.2, p.448: 19, 23, 25, 26; 10.4, p.460: 9, 15*; 10.Review, p.471: 6, 7, 19*.
    Wed 4/1     Make sure to know how to do each question on the Practice Worksheets.  Those types of questions will be part of the test.
    Wed 4/1     Test 6. Chapter 10. Allowed: a hand-written one-sided 11''×8.5'' page with reasonable size [not 8-point typed font].  No worked-out problems on the formula sheet!  Needs to be turned in with test.

 

Precalculus Homework Schedule - Chapter 12.1-12.3
Parametric Equations, Circles, Ellipses

HW#

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PRECALCULUS
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note At times, you will need to take the Practice Workbook home. If you copy it, then copy all of Chapter 10.
101 Fri 4/3 Practice Workbook Lesson 10.1, p.193: 1, 2, 3.  Test Review: 4.  Distance.  [PW Ans]
102 Fri 4/3 Practice Workbook Lesson 10.3,p.199-200: 1, 2; 4, 5, 6, 7.  Test Review: 3, 8.  Circles: implicit.
103 Wed 4/8 Practice Workbook Lesson 10.4,p.202-203: 1, 2, 3.  Test Review: 4. Ellipses: implicit, graph.
104 Wed 4/8 Practice Workbook Lesson, page 10.4,p.204: 5, 6, 7. Test Review: 8.  Ellipses: implicit, equation.
105 Wed 4/8 Practice Workbook Lesson, page 10.6,p.209: 4, 5.  Not 6 or 7.  Translation to (h, k).  [PW Ans]
Fri 4/10 Sheet#121: Implicitly defined conic sections [questions] - [answers].
106 Wed 4/22 Sheet #106: Parametric Graphs On TI [questions] - [answers]
107A Fri 4/24 12.1 512 Textbook: 1, 3, 11 (see below), 12 (see below), 30.  Hint for Questions 11, 12:  To eliminate t, rewrite to make use of sin2t+cos2t=1, as described on page 516.  Parametric graphs.
108 Wed 4/29 12.2 516 1, 3, 5, 7; 13a, 13b*, 14, 15. (For question 13b, complete the square, as described on page 517.  Also, see textbook Tools for Chapter 5, page 227). Circles: parametric and implicit, with translations.
107B Fri 4/24 12.1 512 13, 14, 16.  Given x(t) and y(t) graphs, trace path with arrows in the xy plane.
Parametric Coordinate System
109 Fri 5/1 12.3 520 1, 2, 5, 6, 11, 19.  (For question 11, complete the square.)  Ellipses: parametric and implicit, with translations.
110 Mon 4/27 Sheet #110 - Circles and Ellipses: Implicit and Parametric [questions] - [solutions] A, C and E.  Test Review: B, D.
111 due at test
discuss on
Mon 5/4
Review for Chapter 12 Test.
1) Review extra Practice Workbook questions marked "Test Review. [PW Ans]
2) Review extra Sheet#110 questions marked "Test Review."  Review other sheets.
3) Textbook: 12.1, p.512: 2[y=112x], 5[Answer key has wrong graph], 15, 28. 12.2, p.517: 9. 12.3, p.520: 4[(2,1),a=5,b=3], 8[x=23cost,y=1+5sint], 9, 17a, 17b*, 18[0<k<b<h<a]. 12.Review, p.530: 1, 5, 11*, 13, 18[x=cost,y=sint]. Understanding, p.531: 1 to 9[TFF.FFT.TFT].
4) Make a formula sheet.
Wed 5/6 Test 7. Chapter 12 & Practice Workbook  Lessons and all other Sheets.  Allowed: a hand-written one-sided 11''×8.5'' page with reasonable size [not 8-point typed font].  No worked-out problems on the formula sheet!  Needs to be turned in with test.

 

 

Precalculus Homework Schedule - Chapters 2, 5, 7, 9
Quadratic and Polynomial Functions

HW#

Planned
Date due         

Actual
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Book

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PRECALCULUS
Description

70A     PW   Practice Workbook 5.1,p.79:1,4,8,10. 5.2,p.82:1,2,4. 5.4,p.88:1,7,13. 5.6,p.94:1,4,7. Graph 3 forms/FOIL; Factoring; Complex #s; Quadratic Equation. 
70B   Fri 4/10 PW   More: 5.2,p.82:16all. 5.6,p94:19all. Factoring; Quad. Eq.  Done in class.

71

  Fri 5/8 2.T 97 Textbook Chapter 2 Tools: 13, 15, 23, 39, 41, 79, 87, 95.  FOIL, Factor, Complete the Square.
72   Mon 5/11 2.6 88 7, 9, 10*.  Quadratics: Zeros, factoring and graph.
*=Challenging and required
73   Mon 5/11 5.T 229 13, 15*, 55.  Quadratics: Vertex form.
74   Wed 5/13 5.5 219 5, 7*, 13, 16*, 22*.  Quadratics: Formula from graph.
75   Fri 5/15 (7.6)   Sheet #760: Quadratics with Imaginary Solutions.  For help: Read Chapter 7.6 pages 330-332.
    Wed 5/13     Calculus Readiness Test. All students must take this.  60 minutes.  Bring calculator.
    Fri 5/15     Quiz #91. On HW#7175. No graphing calculator. Quadratic functions: factoring, zeros from factoring, vertex, complex numbers (i), Quadratic formula (real and complex solutions), vertex form of quadratic functions (with h and k), FOIL with complex numbers.  Graph to formula not on this quiz.
    Mon 5/18 PW   Practice Workbook 6.4,p.114:14,16. 6.7,p123:9,11. 6.8,p.125:7 then 4. Cubic equations; Words to formula; TI83 max/min/zeros.
76   Wed 5/20 9.2 388 1-11odd, 13, 15, 17*inverse.   Hint for 15: find line through (0, yint,) and (xint, 0) of the two lines with point-slope formula).  Polynomials.  Long run.
77     9.2 388 19, 21, 23*composition, 25.  Word problems, polynomials.
      (9.2)   Sheet #320: Polynomials Long Run Behavior and Intercepts- [answers]
78     9.3 394 1, 4, 5, 7; 35, 39.  Factor. Zeros exact and numerically approximated.
79     9.3 394 11, 13, 15, 17, 19, 25*[there is a trick].  Graphs converted to equations.
80     9.3 395 27, 29, 31; 33; 40, 41*.  Possible formulas; inverse; optimization.
    Fri 5/22     Quiz #92. HW#7780. Calculator Required. Definition of polynomials, Long-run behavior, zeros by factoring and zeros/max/min using calculator, formulas from graphs.
    Mon 6/1     Final Review student pick from textbook. [Solutions]
    Thu 6/4     Final Exam. Test 8.  Covers all topics of Trimester 3 and a few topics from Trimesters 1 and 2.  Review materials will be provided.  Formula sheet and TI−83 calculator allowed.

 

Precalculus at http://teach.kralsite.com/. Latest update:  Monday June 01, 2009 08:57 AM