

Tuesday 


I. Introduction:
Backgrounds and Key
concepts

521 Introduction :
How to succeed in this course. 
522 Finish course info? What are Numbers? Sensible Precalc Ch 1.A R.1 Comparing Numbers:=,< Operations. 
523 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. 
524 Solving Linear Equations Solving linear inequalities Radicals worksheet. Simplifying and Rationalizing 
II. More Backgrounds: Beginning FunctionsLinear functions and key concepts. Begin Right Triangle Trig 
528 No Class Mem'l Day 
529 Practice Quiz #1 Applications of linear inequalities Abs. value inequalities R.7 , (1.5), 1.6. The Pythagorean theorem. [Over 30 proofs !] [Many Java Applets proofs ] Similar triangles. Algebra review. Review Polynomials. (Factoring) 
530 Quiz #1 Introduction to Winplot. Points, Animation. Tables. Visualizing variables and plane coordinate geometry. Plane Coordinates. 
531
R.4, 1.1, 1.2 What's a function? Linear Functions and Visualization of data .Sensible Precalc Ch 1.B.1 (Firefox Preferred) 
III. Triangle Trig  64 More Geometry review: Midpoints. Circles Graphs and mapping figures. Other function qualities. 
65
Review of Key Triangles. Overview of Core: trigonometric for Right Triangles Overview of Core: More on functions. Linear functions. 
66 Practice Quiz #2 Introduction to Excel. Primary Linear "Functions" and Visualization of data. Lines. Slopes and equations of lines. 
67
Quiz #2 Solving Right triangles. 
IV.More Trig plus quadratics 
611 Secant lines and Linear Interpolation More Inverse trig. Triangle trig: Inverse trig acute 
612
Primary Linear and quadratic "Functions" Descriptive features of functions. (Increasing/decreasing/max/min) 
613
Practice Quiz #3 Areas of Parallelograms and triangles. sine for obtuse angles. Start Law of Sines. 
614
Quiz #3 Exponential Functions. Solving simple exponential equations More on Exponential Applications compound interest and growth. Trig for obtuse angles A visual proof for "The Law of sines" and More. Trig functions for all angles (sine and cosine)(tan) 
V. More Triangle Trig & Begin
Exponential functions and Logarithmic functions 
618 Applications of triangle trig More law of sines Law of cosines Piecewise functions 
619 More on law of cosines. Properties of roots and exponents. Basic properties of logs... and applications and exponentssolving equations. 
620 Practice Quiz #4 Radian measure in circles. A visual proof for "The Law of Cosines" Dynamic proof :The Law of Sines Graphs of exponential, Compound interest? Applications of Exponential functions More exponential functions and graphs. What is e? Composed Mapping figures. 
621 Quiz #4 Logarithms: Introduction and definition. logarithmic general. Graphs of logs, exps, sin and cos Properties of logs and exponents The big picture on functions: Core functions and elementary functions Symmetry [wrt axes.] 
Below this line is currently under development 

VI.Trig function graphs [LAB? ]  625 More on graphs of trig functions. Graphs of tan and sec. Inverse tangent function. 
Models using Exponential Functions Logarithmic calculations in equations and computations. More on graphs of trig functions. graph SinAX graph A sin(BX+C) 
Graphs of tan and sec. More on graphs and basic properties of trig functions. More applications of logs Logarithmic scales.Slide rules ? 
72 Begin Trig Identities Begin trig equations and review of inverse trig functions Log scales and graphs. More exponential models Slide rules Online java sliderule 
VII.Trig Equations Trig Identities ***LAB ***?] 
72 Trig Identities 
Translation, symmetry and scales for quadratics .  NO Class July 4 Holiday  Trig equations and review of
inverse trig functions (Asin and Acos) More on graphs of trig functions, identities and equations. 
VIII.Lab:
Graphing
Functions with Winplot.? Lab: Graphing and Trig Applets.? tfigs.wp2 tfigslink.wp2 
79 Graphs for inverse trig. Addition formulae 
More on Trig Identities: double angles! Double and half angles 
Product to sum trig.Other Trig
identities. More on quadratics and 1/x. Begin Rational functions 
Long division and factors of polys. Complex numbers and trig 
IX.Polynomial and Rational Functions  716 Roots and more on Polynomials. More Trig functions and equations: graphs and elementary functions Complex arithmetic and trig! 
Graphs of polynomials and rational functions.
More on Complex
Numbers, trig and roots. 
Quiz # 8 will cover material from the following sections covered in assignments for TBA Brief look at The Logistic 
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!  723 More on rational functions. Combining trig Functions lines review. Composition & Inverse functions 
Final comments on functions algebraic and trignometric. "Tangents to graphs for logs and exponential functions. "?? A precalculus view. 
725 Final Exam Part I (40 minutes on Log and exponential functions.) 
726 Final Exam Part II (80 minutes with very little from Part I) 
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  