Week 
Tuesday  Wednesday 
Thursday



I. Introduction: Backgrounds and Key concepts  823 Introduction : How to succeed in this course. Sensible Precalc Ch 1.A 
824 What are Numbers? 
825 Finish course info? R.1 Comparing Numbers:=,< Operations. 

II. More
Backgrounds: Beginning FunctionsLinear functions and key concepts. 
830
R.1, R.2, R.5, 1.5 Number Operations, equation, inequality properties. Types of Numbers Rational numbers and decimals. See Moodle for worksheet. Sqr(2) is not a rational #. Visualizing: numbers intervals. Solving Linear Equations Solving linear inequalities 
831 R.7 Radicals worksheet. Simplifying and Rationalizing 
91 R.7, (1.5), 1.6, Applications of linear inequalities The Pythagorean theorem. [Over 30 proofs !] [Many Java Applets proofs ] Similar triangles. 

III.Functions
and
lines

96 R.4, 1.1, 1.2 Visualizing variables and plane coordinate geometry. Plane Coordinates. Introduction to Winplot. Points, Animation. More Algebra review. Review Polynomials. (Factoring) Tables. Introduction to Excel. Linear and quadratic "Functions" and Visualization of data. What's a function? More on functions. Sensible Precalc Ch 1.B.1 (Firefox Preferred) 
97 Linear functions. Linear Functions and Visualization of data. 
98 1.3 Lines. Slopes and equations of lines. Y and X intercepts. Midpoints with coordinates. 

IV. Start
Trigonometry 
913 1.1,1.6, (3.5) Circles Equations for circles. MORE on functions! Graphs and mapping figures. 
914 Quiz #1 Visualization of data. 
915
3.3 (2.1) Overview of Core functions...elementary functions. Review of Key Triangles. 

V. Triangle Trig 
920 3.3, (2.2) Quadratic Functions Other function qualities. Winplot:Demonstation: Lines as equations and "functions". Exploring functions with Winplot: Primary Descriptive features of functions. (Increasing/decreasing/max/min) Graph piecewise functions. Secant line slopes. [Using winplot to graph and find key function feature and solve equations graphically for zeros.?] 
921 More
on Quadratics 
922 6.1, 6.2 Modeling with quadratic functions. Start trig. Trigonometric functions for Right Triangles Solving Right triangles. 

VI. 
927(2.1)
(6.3) Triangle trig: Inverse sine, cosine, tangent for acute triangles. Inverse trig/ applications. More Inverse trig (sine obtuse). More on Solving triangles 
928 Quiz
#2 Areas with trig. 
9 29 8.1, 6.4, 6.1, 6.3, (6.5) Law of sines sine for obtuse angles. Law of Sines. in general. 

VII Finish Triangle
Trig Start General trig Functions and radian Measure 
104 8.1,
7.1,8.2 More on Law of Sines. Start Law of cosines. A visual proof for "The Law of Cosines" Dynamic proof :The Law of Cosines Applications of triangle trig Visualize triangle trig and unit circle. 
105 Radian measure and circles 
106 6.5 Trig functions for all angles  with radian measure. (sine and cosine)(tan) More on law of cosines 

VIII. Trig Identities Trig function graphs Trig Equations 
1011 6.5, 7.1, Begin Trig Identities Begin Graphs of trig functions. Sine and cosine. Begin trig equations and review of inverse trig functions(Asin and Acos) Simple use of identities: relating trig function values on unit circle. 
1012 Quiz #3 More on graphs of trig functions, identities and equations. Solving Simple Trig Equations 
1013 7.1, 7.2, 7.5, (7.3)(7.4, 7.5) Graphs for tangent and secant. Graphically solving trig equations. Identity games. Begin Addition formulae double angles! 

IX More trig identities, equations, and
graphs! 
1018 7.1, 7.2 More Trig functions and equations: Addition formulae. Double and half angles 
1019Quiz #4  1020 Other Trig identities: Product to sum trig. Applications of Sum to slopes and trig function graphs for sine and cosine. Identities and Equations Phase Shift  trig and linear compositions. 

X Trig Graphs 
1025 graphs and elementary functions 
1026 More on graphs and basic properties of trig functions.  1027 Periodic functions A sin(x) and sin(x) + D 

XI End of trig! 
111graph
SinAX Misc..Phase Shift  trig and linear compositions. Continued! Trig. graph A sin(BX+C) 
112 Quiz #5  113 Review of
Quiz 5 More on compostions of trig functions cosine tangent, secant. 

XII. Begin Exponential and
logs 
118 Inverse
trig functions. More on inverse trig functions(Asin and Acos): Triangles! Graphs for inverse trig. (esp'lly Inverse tangent function) More on inverse and trig functions. graphs of combining trig functions. Exponential Functions. 
119 e! Logarithms: Introduction and definition. 
1110 Compound interest? What is e? Applications of Exponential functions Solving simple exponential equations.exponential functions and graphs. Graphs of exponential functions. More on Exponential Applications compound interest and growth.Exponential graphs Models using Exponential Functions Continuously compounded interest: Pe^{rt}. 

XIII. Finish exponents and Logarithmic
functions. What are elementary functions? Begin Polynomial and Rational Functions 
1115Basic properties
of logs... and applications and exponentssolving
equations More exponential models (Growth/Decay) Logs and Graphs of logs, exps with graphs of trig functions Logarithmic calculations in equations and computations. "Transforming equations." More applications of logs/exponential functions. 
1116Quiz 6  1117
Slide Rule Reference Logarithmic scales log scales (simple) Log scales Start Polynomials and rational functions 

XIIIXIV 
1122 Fall Break 
1123 Fall Break  1124 Fall Break  
XIV More on rational functions. 
1129 Long division and factors of
polys. The remainder Theorem. The Factor theorem Roots and more on Polynomials.Functions The big picture on functions: Core functions and elementary functions Symmetry [wrt origin....(axes).] Quadratics and 1/x. 
1130 
121 Rational functions.Asymptotes. Translation, symmetry and scales for quadratics Difference quotientsSlopes of secant lines for Polynomials. Polynomial analysis roots and positive and negative values. Roots of polynomials in general  inequalities. . 

XV PreCalculus!  126 Inequalities. Linear.
Quadratic. Polynomial. Absolute value functions and inequalities Intermediate value theorem. Complex numbers, The fundamental theorem of algebra Composition & Inverse functions 
127 Quiz #8! 
128 Review: Final comments on elementary functions algebraic, logrithmic exponential, and trignometric. Some of my "favorite functions." A precalculus view of some calculus problems. Extremes, tangents,areas. 

Final
Exam Review Session Sunday and Room BSS TBA 
Thursday, December 15 @ 3:00 pm.  
Inventory of topics and materials 
Worksheet on log scales Music and log scales Earthquake Magnitude and logs. Slide rules Online java sliderule More Slide rules More applications of logs Trisection of angles, trig and algebra! 
Complex numbers? Complex arithmetic and trig Properties of roots and exponents. More on Complex Numbers, trig and roots?? 
Reading Textbook or in SC on line. 
Special Instructions & Interesting but Optional  

Sensible Precalc Ch 1.A  
Sensible
Precalc
Ch
1.B.1
(Firefox
Preferred) 
Extra help from Purple Math on
Converting between Decimals, Fractions, and Percents 


Similar
triangles. More on Similar triangles. 

Dynamic Geometry® Exploration SimilarTriangles  
Ch 1.B.1: 1c, 2, 16  
Law of Sines.  
A
visual proof for "The
Law
of
Cosines" Demonstrations of the laws of sines and cosines 

History of Pi  
sin(A+B) proof illustrated.  
Summary of trig identities  
History
of
Trigonometric
functions 

graph SinAX graph A sin(BX+C)  
Trisection
of angles, trig and algebra! Complex Numbers, 

History of the number e  
How and
Why a Slide Rule Works Online java sliderule 

History of the Function concept  