Reality Quizzes 17 Best 6 scores  600 points 
Reality Quiz 8  100 points 
Homework  200 points 
Final Examination  400 or 600 points 
Total  1300 or 1500 points 


Tuesday 



I. Introduction: Backgrounds and Key concepts  529 
530 Introduction Sensible Precalc Ch 1.A What are Numbers? Comparing Numbers:=,< Number Operations, equations. [Cont'd on Wed.!] 
531 Using Thinkwell 
61
Sqr(2) is not a rational #. Visualizing variables and plane coordinate geometry. 

II. Beginning FunctionsCore functions and
concepts. Begin Right Triangle Trig 
65 Visualizing: numbers intervals. 1.2.1,1.2.1 The Pythagorean theorem. [Over 30 proofs !] [Many Java Applets proofs ] Plane Coordinates. More Geometry review: Midpoints. Solving linear inequalities 2.11.1 [8:34] 
66
Applications of linear inequalities 2.11.4 Algebra review. Review Polynomials. (Factoring) Similar triangles. 
67 Simplifying and Rationalizing More on graphs. Lines. Slopes and equations of lines. 
68
Circles What's a function? More on functions. Linear functions. Practice Quiz #1 

III. Triangle Trig  612 Graphs and mapping figures. Other function qualities. Review of Key Triangles. Overview of Core: trigonometric for Right Triangles 
613
Solving Right triangles. Radian measure Overview of Core: algebraic Secant lines and Linear Interpolation 
614
Triangle trig: Inverse trig acute
Law of Sines. sine for obtuse angles. Abs. value inequalities Primary Descriptive features of functions. (Increasing/decreasing/max/min) 
615 More law of sines More Inverse trig (sine obtuse). Properties of roots and exponents. 

IV.More Trig plus Exponential functions  619 Trig for obtuse angles. Trig functions for all angles (sine and cosine)(tan) Exponential Functions. 
620
Radian measure and circles in general. Trig functions for all angles  with radian measure. Start Law of cosines. A visual proof for "The Law of Cosines" Solving simple exponential equations 
621A visual proof for "The Law of Cosines" and More. Dynamic proof :The Law of Cosines
Compound interest? Applications of Exponential functions More exponential functions and graphs. 
622
More on Exponential
Applications compound interest and growth. More on law of cosines. Applications of triangle trig 

. Logarithmic functions 
626
What
is e? Composed Mapping figures. Piecewise functions Logarithms: Introduction and definition. 
627 Graphs of exponential, logarithmic Basic properties of logs... and applications and exponentssolving equations. 
628 QUIZ #4 in class on 619 to 626 assignments. More on properties of logs and exponents 
629 Graphs of logs, exps, sin and cos Lab: Graphing Functions with Winplot.? Lab: Graphing and Trig Applets.? tfigs.wp2 tfigslink.wp2 The big picture on functions: Core functions and elementary functions Symmetry [wrt axes.] Inverse tangent function. 

I.Trig function graphs [LAB? ]  73 More on graphs of trig functions. Graphs of tan and sec. 
NO Class July 4 Holiday  75
Models
using Exponential Functions Logarithmic calculations in equations and computations. More on graphs of trig functions. graph SinAX graph A sin(BX+C) 
712
Graphs of tan and sec. More on graphs and basic properties of trig functions. More applications of logs Logarithmic scales.Slide rules ? 

VII.Trig Equations Trig Identities ***LAB ***?] 
710 Begin Trig Identities Begin trig equations and review of inverse trig functions Log scales and graphs. More exponential models Slide rules Online java sliderule 
711 Trig Identities 
712 Translation, symmetry and scales for quadratics . 
713
Trig equations and review of inverse trig functions (Asin and Acos) More on graphs of trig functions, identities and equations. 

VIII.  717 Graphs for inverse trig. Addition formulae 
718 More on Trig Identities: double angles! Double and half angles 
719
Product
to sum trig.Other Trig identities. More on quadratics and 1/x. Begin Rational functions 
720
Long division and factors of polys. Complex numbers and trig 
. 
IX.Polynomial and Rational Functions  724 Roots and more on Polynomials. More Trig functions and equations: graphs and elementary functions Complex arithmetic and trig! 
725Graphs of polynomials and rational functions. More on Complex
Numbers, trig and roots. 
726Quiz #8! in class Quiz # 8 will cover material from the following sections covered in assignments for 7/12 & 7/18 to 7/24: 3.14, 4.1, 4.4, 4.8, 4.9, 6.7.4, 7.5, 7.6 Brief look at The Logistic 
727
Difference quotients.? MORE Polynomials rational, real and complex roots! Intermediate value theorem. Inequalities. Bisection and Secant methods for estimating roots. Rational functions.Asymptotes. Putting functions together? 

X. PreCalculus!  731 More on rational functions. Combining trig Functions lines review. Composition & Inverse functions 
81 Final comments on functions algebraic and trignometric. "Tangents to graphs for logs and exponential functions. "?? A precalculus view. 
82 Final Exam Part I (40 minutes on Log and exponential functions.) 
83 Final Exam Part II (80 minutes with very little from Part I) 
Due Date 
Reading in Workbook or in SC on line. 
CD Viewing 
Assignments *Thinkwell Exercises online 
Special Instructions & Interesting but
Optional 
531 
Preface Ch 2: pp 8790 Sensible Precalc Ch 1.A Sensible Precalc Ch 1.B.1 (Firefox Preferred) 
2.1.1Intro to
Solving Equations.[9min] 2.1.2Solving a Linear Equaton. [8 min] 
p88: prpr and rev q's. p90: prpr and rev q's. 
These problems will not be collected. 
2.11Solving Inequalities: 2,11.1 Intro to Solving Inequalities [8.5 min] 

61 
ch 1 pp 2326 ch 2: pp 149  150 Ch 1.B.1(Firefox Preferred) 
3.1 Graphing Basics: 3.1.1 Using the Cartesian System [7:31 min] 3.1.2 Thinking Visually [2.55 min] 3.2.1 Finding the Distance between two Points [10:57] 
p25:prpr and rev q's. p150: prpr and rev q's. These problems will not be collected. 
Ch
1.B.1: 1c, 2, 16 CD: Finding the CenterRadius Form of the Equation of a Circle[8:49] 
65  Ch 1 pp 4344; 4647; 4950; 5459. Similar triangles. 
1.6.3 Rationalizing Denominators 1.9 Factoring Patterns 1.9.1 Factoring Perfect Square Trinomials 1.9.2 Factoring the Difference of Two Squares 
More on Similar triangles. Dynamic Geometry® Exploration SimilarTriangles 

66 
Ch 2 pp151154 Ch 3 pp 175179; 182186. pp 193197 
2.11.3 More on Compound Inequalities [9] 3.4 Circles 3.4.1 Finding the CenterRadius Form of the Equation of a Circle [8.49] 3.5 Graphing Equations 3.5.1 Graphing Equations by Locating Points [14] 3.5.2 Finding the x and yIntercepts of an Equation [13] 
*1.2.1 and *1.2.2 *1.6.3 *2.1.1 and 2.1..2 *2.11.1 and 2.11.3 *3.4.1 *3.5.2 
This is the first online assignment complete these by 611. 
67 
Ch 3 pp 222238 
3.9.1 An Introduction to Slope 3.9.2 Finding the Slope of a Line Given Two Points 3.10 Equations of a Line 3.10.1 Writing an Equation in SlopeIntercept Form [8] 3.10.2 Writing an Equation Given Two Points [6] 3.10.3 Writing an Equation in PointSlope Form [5] 3.10.4 Matching a SlopeIntercept Equation with Its Graph[8] 3.10.5 Slope for Parallel and Perpendicular Lines[9] 
*1.9.1 *1.9.2 *3.9.2 *3.10.1 *3.10.3 *3.10.5 
This is the second online assignment (more review)  complete these by 611. 
68 ! 
Sensible Precalc Ch 1.B.2 Read!(Firefox preferred)  Function
Basics 3.6.1 Functions and the Vertical Line Test [7] 3.6.2 Identifying Functions [9] 3.6.3 Function Notation and Finding Function Values [9] 
*3.6.3 
Try to do this SOON! This is a key to the work for the remainder of the term. 
612 
Ch 3 pp198213 Sensible Precalc Ch 1.B.2 Read!(Firefox preferred) 
Working with Functions 3.7.1 Determining Intervals Over Which a Function Is Increasing 3.7.2 Evaluating PiecewiseDefined Functions for Given Values 3.7.3 Solving Word Problems Involving Functions 
*3.7.2 *3.7.3 
Try the Practice Quiz Quiz #1 will be available on Monday! 
613/14 
Ch 6. pp 429436; 439445 
6.2 Right Angle Trigonometry 6.2.1 An Introduction to the Trigonometric Functions 6.2.2 Evaluating Trigonometric Functions for an Angle in a Right Triangle 6.2.4 Using Trigonometric Functions to Find Unknown Sides of Right Triangles 6.2.5 Finding the Height of a Building 
*6.2.1 *6.2.2 *6.2.4 
Submit Quiz #1 by Tuesday 8 pm. Online Mapping Figure Activities 
614/15  Ch 6 pp425426; 436439 Ch 3. pp 291292 
6.1.4 Converting between Degrees and Radians (Disc 3, 10:04) 6.2.3 Finding an Angle Given the Value of a Trigonometric Function (Disc 3, 5:20) 3.18.5 Finding the Difference Quotient of a Function (Disc 2, 4:21) 
*6.1.4 *6.2.3 *3.18.5 

615/19 
Ch 8. pp 547548 Law of Sines. Ch 1. pp2629 Ch 2.pp164167;169170 
8.1.1 The Law of Sines (Disc 4, 9:04) 2.14.1 Matching Number Lines with Absolute Values (Disc 2, 11:25) 2.14.2 Solving Absolute Value Equations (Disc 2, 7:21) 2.14.4 Solving Absolute Value Inequalities (Disc 2, 9:12) 
*8.1.1 *2.14.2 Solving Absolute Value Equations *2.14.4 Solving Absolute Value Inequalities 
Try Practice Quiz #2 . For background on absolute value watch 1.3.1 Properties of Absolute Value (Disc 1, 6:41) and 1.3.2 Evaluating Absolute Value Expressions (Disc 1, 12:10) 
619  Ch 8. pp 549557 Ch 1. pp3035;3742 
8.1.2 Solving a Triangle Given Two Sides and One Angle (Disc 4, 6:37) 8.1.3 Solving a Triangle (SAS): Another Example (Disc 4, 12:18) 8.1.4 The Law of Sines: An Application (Disc 4, 6:12) 
*8.1.2 
1.4.1 An Introduction to Exponents (Disc 1, 1:36) 1.4.2 Evaluating Exponential Expressions (Disc 1, 4:36) 1.4.3 Applying the Rules of Exponents (Disc 1, 10:11) 
620 
ch 6. 446449 ch5: pp361366 
6.3.1 Evaluating Trigonometric Functions for an Angle in the Coordinate Plane (Disc 3, 15:00) 6.3.2 Evaluating Trigonometric Functions Using the Reference Angle (Disc 3, 11:19) 5.3.1 An Introduction to Exponential Functions (Disc 3, 8:06) 5.3.2 Graphing Exponential Functions: Useful Patterns (Disc 3, 8:55) 
*6.3.1 *5.3.1 
5.3.3 Graphing Exponential Functions: More Examples (Disc 3, 7:18) 
621 
Ch 5 pp367368 Ch 6. pp426429; Ch 8 pp558 559 A visual proof for "The Law of Cosines" 
5.4.1 Using Properties of Exponents to Solve Exponential Equations (Disc 3, 6:55) 6.1.5 Using the Arc Length Formula (Disc 3, 7:23) 8.2.1 The Law of Cosines (Disc 4, 5:38) 
*5.4.1 *6.1.5 
Demonstrations of the laws of sines and cosines 
622 
Ch 8 pp560 565 Ch 5 pp368370 
8.2.2 The Law of Cosines (SSS) (Disc 4, 7:05) 8.2.3 The Law of Cosines (SAS): An Application (Disc 4, 5:44) 5.4.2 Finding Present Value and Future Value (Disc 3, 8:39) 
*8.2.1 *8.2.3 
Try Practice Quiz #3 
626/27 
Ch 5 pp 368374 
5.4.2 Finding Present Value and Future Value (Disc 3, 8:39) 5.4.3 Finding an Interest Rate to Match Given Goals (Disc 3, 4:11) 5.5.1 e (Disc 3, 7:01) 5.5.2 Applying Exponential Functions (Disc 3, 4:31) 
*8.2.2 *5.4.2 *5.5.2 
8.3 Vector Basics 8.3.1 An Introduction to Vectors (Disc 4, 7:55) 8.3.2 Finding the Magnitude and Direction of a Vector (Disc 4, 6:43) 8.3.3 Vector Addition and Scalar Multiplication (Disc 4, 9:26) 
627 
Ch 3 pp 209211 Ch 5 pp 374377 
5.6.1 An Introduction to Logarithmic Functions (Disc 3, 7:19) 5.6.2 Converting between Exponential and Logarithmic Functions (Disc 3, 5:55) 
*5.6.1 
Try Sample Quiz #4 
628/29 
Ch 5 pp 377383;386395 
5.7.1 Finding the Value of a Logarithmic Function (Disc 3, 6:48) 5.7.2 Solving for x in Logarithmic Equations (Disc 3, 7:44) 5.7.3 Graphing Logarithmic Functions (Disc 3, 10:05) 5.8.1 Properties of Logarithms (Disc 3, 8:51) 5.8.2 Expanding a Logarithmic Expression Using Properties (Disc 3, 10:40) 5.8.3 Combining Logarithmic Expressions (Disc 3, 9:16) 5.9.1 Evaluating Logarithmic Functions Using a Calculator (Disc 3, 5:13) 5.9.2 Using the Change of Base Formula (Disc 3, 9:27) 
*5.7.1 *5.8.1 *5.9.1 *5.9.2 

629  Ch. 6 pp453456 
6.4.1 An Introduction to the Graphs of Sine and Cosine Functions 

73 
Ch 5 pp3813 again Ch 6 pp 451460 
5.7.3 Graphing Logarithmic Functions (Disc 3, 10:05) again! 6.3.4 Trigonometric Functions of Important Angles (Disc 3, 9:37) 6.4.1 An Introduction to the Graphs of Sine and Cosine Functions (Disc 3, 10:32) 6.4.2 Graphing Sine or Cosine Functions with Different Coefficients (Disc 3, 12:20) 6.4.3 Finding Maximum and Minimum Values and Zeros of Sine and Cosine (Disc 3, 6:49) 
*5.7.3 *6.3.4 *6.4.1 *6.4.2 

75/6 
Ch 6 pp 462469 
6.5.1 Graphing Sine and Cosine Functions with Phase Shifts (Disc 4, 7:20) 6.5.2 Fancy Graphing: Changes in Period, Amplitude, Vertical Shift, and Phase Shift (Disc 4, 8:29) 6.6.1 Graphing the Tangent, Secant, Cosecant, and Cotangent Functions (Disc 4, 13:19) 
*6.5.1 

76 
Ch 5: pp 398400; 407407 Ch 6 pp464469 AGAIN! 
5.11.1 Solving Exponential Equations 5.13.1 An Introduction to Exponential Growth and Decay 
*5.11.1 *5.13.1 *6.6.1 
graph
SinAX graph A sin(BX+C) 
710 
Ch. 5: pp 409411; 414415 
5.13.2 HalfLife (Disc 3, 11:07) 5.13.4 Continuously Compounded Interest (Disc 3, 5:05) 
*5.13.2 *5.13.4 

711/12  Ch 6 pp477480 Ch 7 pp 495500 
6.7.1. An Introduction to Inverse Trigonometric Functions 6.7.2. Evaluating Inverse Trigonometric Functions 7.1.1. Fundamental Trigonometric Identities 7.1.2. Finding All Function Values 
*6.7.2 *7.1.1 *7.1.2 
How and Why a Slide Rule Works Online java sliderule 
712/13 
Ch 7 pp 499506 Ch 3 pp 256258 
3.14.1. Deconstructing the Graph of a Quadratic Function 3.14.2. NiceLooking Parabolas 7.2.1. Simplifying a Trigonometric Expression Using Trigonometric Identities 7.2.2. Simplifying Trigonometric Expressions Involving Fractions 
*3.14.1 *7.2.1 

713/17 
Ch 7 pp506516 
7.2.5 Determining Whether a Trigonometric Function Is Odd, Even, or Neither (Disc 4, 10:26) 7.3.1 Proving an Identity (Disc 4, 10:08) 7.3.2 Proving an Identity: Other Examples (Disc 4, 6:16) 7.4.1 Solving Trigonometric Equations (Disc 4, 9:08) 
*7.3.1 *7.4.1 

717 
Ch 6 pp477481 Ch 7 pp516521 
Review: 6.7.1. An Introduction to Inverse Trigonometric Functions 6.7.2. Evaluating Inverse Trigonometric Functions 7.4.2 Solving Trigonometric Equations by Factoring (Disc 4, 6:03) 7.4.3 Solving Trigonometric Equations with Coefficients in the Argument (Disc 4, 10:35) 7.4.4 Solving Trigonometric Equations Using the Quadratic Formula (Disc 4, 14:55) 
*7.4.3 

718/19 
Ch 6 p481485 Ch7 pp525528 
6.7.3 Solving an Equation Involving an Inverse Trigonometric Function (Disc 4, 4:49) 6.7.4 Evaluating the Composition of a Trigonometric Function and Its Inverse (Disc 4, 9:09) 7.5.1 Identities for Sums and Differences of Angles (Disc 4, 9:00) 7.5.2 Using Sum and Difference Identities (Disc 4, 3:12) 
*7.5.1 
sin(A+B) proof illustrated. 
719  Ch 7 pp 530533; 540544 
7.6.1 Confirming a DoubleAngle Identity (Disc 4, 6:19) 7.6.2 Using DoubleAngle Identities (Disc 4, 6:46) 7.7.2 Using a PowerReducing Identity (Disc 4, 8:49) 7.7.3 Using HalfAngle Identities to Solve a Trigonometric Equation (Disc 4, 7:13) 
*7.6.2 

720 
Ch 4 pp 333339 
4.8.1 Understanding Rational Functions (Disc 3, 4:13) 4.8.2 Basic Rational Functions (Disc 3, 9:22) 4.9 Graphing Rational Functions 4.9.1 Vertical Asymptotes (Disc 3, 7:51) 4.9.2 Horizontal Asymptotes (Disc 3, 9:20) 
*4.8.1  
724  Ch 4 pp295299; 304307 Ch 8 pp584588 
4.1.1 Using Long Division with Polynomials (Disc 2, 9:33) 4.1.2 Long Division: Another Example (Disc 2, 6:39) 4.3.1 The Remainder Theorem (Disc 3, 8:52) 4.3.2 More on the Remainder Theorem (Disc 3, 6:09) 4.4.1 The Factor Theorem and Its Uses (Disc 3, 8:07) 8.5.1 Graphing a Complex Number and Finding Its Absolute Value (Disc 4, 6:05) 8.5.2 Expressing a Complex Number in Trigonometric or Polar Form (Disc 4, 6:55) 
*4.1.1 *4.3.1 

7/25 
Ch 2 pp 1123; 117121 Ch 4 pp 308319 
2.4.1 Solving Quadratics by Factoring (Disc 1, 11:51) 2.5.1 Proving the Quadratic Formula (Disc 1, 7:14) 2.5.2 Using the Quadratic Formula (Disc 1, 9:23) 2.5.3 Predicting the Type of Solutions Using the Discriminant (Disc 1, 8:42) 4.4.2 Factoring a Polynomial Given a Zero (Disc 3, 11:08) 4.5.1 Presenting the Rational Zero Theorem (Disc 3, 7:14) 4.5.2 Considering Possible Solutions (Disc 3, 7:44) 4.6.1 Finding Polynomials Given Zeros, Degree, and One Point (Disc 3, 11:19) 4.6.2 Finding all Zeros and Multiplicities of a Polynomial (Disc 3, 8:09) 4.6.3 Finding the Real Zeros for a Polynomial (Disc 3, 8:16) 
*2.4.1 *2.5.2 *4.5.1 *4.6.1 
8.5.3 Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form (Disc 4, 11:08) 
7/26 
Quiz 8! 
Quiz # 8 will cover material from the following sections covered in assignments for 7/12 & 7/18 to 7/24:
3.14, 4.1, 4.4, 4.8, 4.9, 6.7.4, 7.5, 7.6 

7/31 &8/1 
Ch 2 pp 155162; 169172 Ch 3 pp 285292 
2.12.1 Solving Quadratic Inequalities (Disc 2, 9:54) 2.13.1 Solving Rational Inequalities (Disc 2, 8:42) 2.14.4 Solving Absolute Value Inequalities (Disc 2, 9:12) 3.18.1 Using Operations on Functions (Disc 2, 5:43) 3.18.2 Composite Functions (Disc 2, 9:37) 3.18.3 Components of Composite Functions (Disc 2, 8:12) 3.18.4 Finding Functions That Form a Given Composite (Disc 2, 6:27) 3.18.5 Finding the Difference Quotient of a Function (Disc 2, 4:21) 
*2.12.1 *3.18.1 *3.18 .4 *3.18.5 AgainReview! 
2.12.2 Solving Quadratic Inequalities: Another Example (Disc 2, 8:31) 2.13.2 Solving Rational Inequalities: Another Example (Disc 2, 8:49) 2.14.5 Solving Absolute Value Inequalities: More Examples (Disc 2, 6:15) 

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