PRE CALCULUS SYLLABUS 2011/2012
Unit 1: Sequences and Series
| 13.1 Projectile Motion/ Introduction to Sequences | 1(c) |
finish class ws; sequence ws/1-11 (omit #4) |
| 13.1 Introduction to Sequences | 2(c) |
pg 476/4-7, 18, 19, 21, 25, 30, 31, 33 |
| 13.1 Arithmetic and Geometric Sequences | 3(c) |
pg 476-478/ 11, 13, 15, 16, 37-39, 47-50; quiz over sec 13.1 |
| 13.2 Recursive Definitions | 4c |
Read and study Sec 13.2, pg 479-480, pg 481/1-10,13,14,21,22 |
| 13.3 Sums of Arithmetic and Geometric Series | 5(c) |
pg 489/1-8, 11, 12, 17, 18, 35, 37 |
| 13.3 Limits of Infinite Sequences | 6(c) |
pg 496/Classroon ex/ 1-11 |
| 13.4 Limits of Infinite Sequences | 7(c) |
pg 496 Written ex/1-14, 19-28 (omit #21 #23 and #25) |
| 13.5Sums of Infinite Series | 8(c) |
pg 503 Written ex/ 1-6, 10, 33, 36 |
| 13.6 Sigma Notation | 9(c) |
pg 508 Written ex/ 1-16, 25 |
| Test :13.1, 13.2, 13.3, 13.4 13.5,13.6 | Thurs 9/15 |
Chapt. Test pg 515/ 1-7, 9, 10, 12b
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Unit 2 : FUNCTIONS
| 4.1 Functions: basic definitions | 9(c) |
Read and Study Sec 4.1; pg 122 Classroom ex/1-12 (due monday 9/19) |
| 4.1 Functions: domain, range, zeroes and graphs | 10(c) |
pg 122 Classroom ex/1-12 ; Written ex/ 1-21, 25 |
| 4.1 Functions: domain, range, zeroes and graphs | 10(c) |
pg 122 Classroom ex/1-12 ; Written ex/ 1-21, 25 |
| 4.2 Operations on Functions | 11(c ) |
pg 128 Classroom ex/5-10; Written ex/ 2, 5-10, 21, 23, 25, 27 |
| 4.3 Reflecting Graphs of Functions | 12(c) |
pg 136/ 1, 3, 5, 7-14 ; study for quiz over 4.1-4.3 |
| 4.3 Reflecting Graphs of Functions | 13(c) |
pg 136/ 15 b,c, 16 c, 31-34 |
| 4.5 Inverses of Functions | 14(c) |
pg 149/1-19 |
| 4.7 Functions from Verbal Descriptions | 15(c) |
pg 161/ 1-67, 9, 11-13, 15 |
| Test 1-2 : 4.1, 4.2, 4.3, 4.5,4.7 | Mon 10/3 |
Chapt Test Practice Problems:pg 166-167/ 1-5, 6 bc, 9, 11 |
Unit 3: Exponents and Logarithms
| 5.1 Integral Exponents. | 16(c) |
pg 172-173/ 9-12, 22, 24, 25, 31, 32, 37, 39,41 |
| 5.2 Solving Equations with Exponents. | 17(c) |
pg 178/ 1,3,5,7,17, 23,29,31,33,35,36,44 |
| 5.2/5.3 Exponential Growth and Decay Applications | 18(c) |
pg 173/ 13, 14, 18, 19, 34-36 pg 179/38,41 |
| 5.3 Exponential Functions | 19(c) |
pg 183/ 7-9, 11, 16, 17; Study for quiz on monday 10/10 over 5.1-5.3 (no graphs on quiz) |
20(c) |
sketch 4 graphs on ws | |
| 5.4 The number "e," compound interest | 21(c) |
pg 188/5,6,9,11,12,13 |
5.5 Logarithmic Functions 5.6 Laws of Logarithms |
22(c) |
pg 194-196 Written ex/1-21odds, 35-43odds; pg 200/ 7-17, 25, 29, 43 |
| 5.7 Change of Base Formula | 23(c) |
pg 205/2, 3, 5,6,10,11,13,14 (see examples on pg 204), 19 20 |
| Test 1-3 | Wed 10/19 |
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Unit 4: Rational Functions and Transformations
| Graphs of Parent Functions | 24(c) |
ws: graphs of parent functions |
| 4.4 Translations of Functions | 25(c) |
ws: translations |
| 4.4 Dilations and Compressions | 26(c) |
finish translations ws; begin dilation/compression ws |
27(c) |
Finish dilation/compression ws | |
| 4.4 Transformations of Functions | 28(c) |
Combined Transformation ws with book work |
| Test 1-4 | Mon 11/7 |
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| 2.3 Graphing Polynomial Functions | 29(c) |
pg 66/ 1-11 odds, 13-16, 21-24 |
Unit 5:Trigonometric Functions.
| 9.1Right Triangle Trig. | 30(c) |
pg 334/ 1,3, 10, 14, 15, 17, 23, 31, 32 Show trig equations |
Begin Winter Term |
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| 7.1 Degree and radian measures of angles | 31(c) |
pg 261/ 1-12, 17-20 |
| 7.2 Arc length and area of sectors; 7.4 Reference Angles | 32(c) |
pg 264/1-6, 11 pg 279 Classroom ex/ 1-5;Written ex/ 1-4 |
| 7.3 Sine and Cosine functions | 33(c) |
graphs of sin, cos and tan functions; pg 272/1-6, 9-28 |
| 7.4: exact values of special angles | 34(c) |
Study for quiz over circular trig definitions; exact values, and graph sketching. Quiz on Wed 12/7 |
| Quiz | 35(c) |
Finish chart with exact values of cot, sec, and csc |
| 7.5 Other trig functions; graphing trig functions | 36(c) |
graphs of all 6 trig functions in pairs: sin-csc, cos-sec, tan-cot |
| 7.6 Inverse Trig functions | 37(c) |
Graphs of Inverse Sin, Inverse Cos, and Inverse Tan functions; see Sec. 7.6 in textbook for help |
| 7.6 Inverse Trig functions | 38(c) |
pg 289/ 1-8,11,12 |
| Test 2-1 over chapt 7 (No Calculator) | Thurs 12/15 |
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Unit 6: Solving Triangles
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| 9.2 Area of a Triangle | 39(c) |
pg 342/ 3, 7, 9-11, 19, 20 |
| 9.3 Law of Sines | 40(c) |
Finish practice problems in Law of Sines packet |
| 9.4 Law of Cosines/Law of Sines Review | 41(c) |
pg 347-348/3,5,7, 13, 17, 18, 22 |
| 9.4 Law of Cosines | 42(c) |
pg 352-353/1-17;class work day on Wed 1/11--bring your books. |
| Mixed Trig review problems | 43(c) |
Mixed Trig Review/1-8,11,14, 20, 21,23-26 |
| 9.5 Applications: Navigation | 44(c) |
pg 363/1-6,11-14 |
| Test 2-2 over 9.1-9.5 | Wed 1/18 |
Chapt test pg 365/ 1-8,10 |
Unit 7 :Trigonometic Equations and Graph Transformations.
| 8.1 Simple trig equations; inclination | 45(c) |
pg 299/ 1-21, 25-33 due after test 2-2 |
| 8.2 Sine and Cosine curves: period and amplitude | 46(c) |
pg 143/ 1-4; pg 305/ 1-16 |
| 8.2 Sine and Cosine curves; trig equations with different periods(example 3, pg 303) | 47(c) |
pg 306/ 19-26--solve both algebraically and grpahically; study for quiz over solving trig equaations (quiz on Tues 1/24 |
| 8.3 Transformations of Sine and Cosine curves | 48(c) |
pg 312 Classroom ex/ 1-5; pg 313 Written ex/ 1-8 write equations in terms of both sin and cos |
| 8.3 Transformations of Sine and Cosine curves | 49(c) |
pg 312-313 Classroom ex/6; Written ex/ 9-14 sketch 2 full periods for each graph. |
| 8.3 Trigonometric models | 50(c) |
pg 314/ 15, 16, 17a-c, 19a,b |
| 8.5 Solving More Difficult Trig equations | 51(c) |
pg 326/ 1-6, 9-13 (use ans in terms of pi) |
| 8.5 Solving More Difficult Trig equations | 52(c) |
pg 326/ 14-18, 29-32 (solve 29-32 by graphing) |
| Test 2-3over 8.1,8.2,8.3,8.5 | Wed 2/8 |
pg 328-329/ 1-7a(graph as function of time since high tide), 9,10 |
| 8.4 Simplifying Trig Expressions | 53(c) |
pg 320-321 Classroom ex/ 1-7; Written ex/ 1-24; Study for quiz over sec 8.4. Quiz on monday 2/13 |
Unit 8 Trig Addition Formulas
| 10.1 Angle sum and difference formulas | ||
| 10.1 Angle sum and difference formulas | ||
| 10.3 Double Angle formulas for sin and cos | ||
| 10.2/10.3 Tangent sum and difference formulas;Tangent Double angle formulas | ||
| 10.4 Solving Complicated Trig. Equations | ||
| In Class Assignment for mon 2/22 | ||
| Test 2-4 over 10.1, 10.2, 10.3, 10.4 |
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Unit 9: Polar Coordinates and Complex Numbers
| 11.1 Polar Coordinates | ||
| 11.1 Polar Coordinates | ||
| 1.5 Review of Complex Numbers | ||
| 11.2 Geometric Representation of Complex Numbers | ||
| Review of sec 11.1 and 11.2 | ||
| 11.2 Multiplying Complex numbers in Polar form | ||
| 11.3 Powers of Complex numbers | ||
| 11.4 Roots of Complex Numbers | ||
| Test 3-1: 11.1, 11.2, 11.3, 11.4 |
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Unit 10: Vectors and Parametric Equations
| 12.1 Geometric Representation of Vectors | ||
| 12.1 Geometric Representation of Vectors | ||
| 12.1 Geometric Representation of Vectors | ||
| 12.2 Algebraic Representation of Vectors | ||
| 12.2 Algebraic Representation of Vectors | ||
| 12.3 Vector Equations | ||
| 12.3 Parametric Equations (lines) | ||
| Test 3-2 |
| 12.3 Parametric Equations:Curves | ||
| 12.3 Parametric Equations:Curves | ||
| 12.3 Parametric Equations:Curves | ||
| 12.3 Parametric Equations:Curves | ||
| 12.3 Parametric Equations: Curves | ||
| Test 3-3 |
Unit 11:Matrices
Lesson |
Assignment Number |
Assignment |
| 14.1Matrices;definitions, scalar multiplication; addition and subtraction | ||
| 14.2/14.3 Matrix Multiplication; solving matrix equations | ||
| 14.3Inverse Matrix; Solving Matrix Equations |
Unit 12: Probability
| 16.1 Introduction to Probability | ||
| 16.1 Basic Probability Laws | ||
| 16.2 Probability of Events occurring Together | ||