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MAC1105 - College Algebra
Handouts & Worksheets
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Review Handouts and Worksheets
Arithmetic Study
Guide - Courtesy of AIMS Community College - Worksheet
Prep Algebra Study
Guide - Courtesy of AIMS Community College - Worksheet
Algebra Study Guide
- Courtesy of AIMS Community College - Worksheet
Comprehensive
List of Links for ALL PJC Math Courses - Links
Graph Paper:
05x05
08x08-1
08x08-4
08x08-9
08x08-9table
08x08-12
08x08-12blank
10x10-12
16x16-1
All & more in
Word format
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Projects: |
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Analyze the Graph, Graphing Grid for Picture, MyMathLab, Research Report :
Projects |
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Chapter R
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Basic Concepts of Algebra (Review Chapter) |
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R.1 |
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The Number System:
Outline |
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R.2 |
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Laws of Exponents: Rules: Rules1 ,
Rules2 |
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R.3 |
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Defining and Classifying Polynomials:
Summary ,
FOIL Worksheet , Key |
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R.4 |
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Factoring Polynomials:
Summary ,
Factor3 , Key3 ,
FactorS , KeyS ,
Factor5 , Key5 |
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R.5 |
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Solve Linear Equations:
Worksheet2 , Key2 ,
Worksheet3 , Key3 |
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R.7 |
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Laws of Exponents:
Rules2 |
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♦♦♦♦♦ |
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Handouts,
Worksheets & Homework files are noted below with
♦
Chapters 1 & 2
(24 pages) ,
Chapters 3, 4 & 5 (31
pages) |
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Chapter
1
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Graphs,
Functions, and Models |
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1.1
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The
Distance Formula (Proof) - Notes |
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1.1
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The Midpoint Formula (Proof)
- Notes |
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1.1
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♦Find an Equation of a Circle -
Theory
,
Homework
, Key
,
Extra Worksheet2 |
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Calculator
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♦TI-83/84
Graphing Calculator:
Basics , Computations 2 - Homework ,
Key |
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1.2
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♦Functions
- Definition, Vertical Line Test, Domain & Range 2 - Class
Worksheet |
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1.2 |
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Domain & Range: See page 89 in textbook for excellent summary |
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1.2 |
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♦Analyze the Graph Class Worksheet -
Class Worksheet ,
Key |
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1.3
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Define
the SLOPE of a line : 
, Notes |
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1.3
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Understanding
Slope and Y-Intercepts 1 -
Notes ,
Larger
Graphs
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1.3
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Find
an Equation of a Line Using Slope & Y-Intercept - Notes |
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1.3
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Slopes and Y-Intercepts 3 -
Extra Worksheet ,
Key |
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1.4
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♦Find
an Equation of a Line Using Slope & Y-Intercept 1 -
Class Worksheet
,
Key |
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1.4
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Graphing Lines
Using Slope and Y-Intercept 1 -
Extra Worksheet
, Key
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1.4
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Scatter
Diagrams and Curve Fitting - TI-83/84 -
Notes |
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1.5
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Solve Linear Equations:
Extra Worksheet3 ,
Key3 |
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1.5 |
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♦Linear Functions: Zero
/ X-Intercept / Solution -
Notes |
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1.5 |
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♦Long
Distance Phone Rates 2 - Homework
, EXCEL Graph
Example |
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1.6 |
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Solving Linear
Inequalities 1 -
Extra Worksheet , Key1: ( ) , [ ] , Key2:
o , • |
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Chapter
2
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More on Functions |
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2.1
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♦Analyze the Graph
Class Worksheet -
Homework ,
Key
(started in Chapter 1) |
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2.1
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Sign Graph - Determine the sign of
f(x) - Notes |
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2.1
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♦Examine the Graph 1 -
Class Worksheet |
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2.1
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Increasing / Decreasing / Constant
Functions - Notes
, PowerPoint ,
Advanced
Summary |
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2.1
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♦Examine the Graph 2 - Class
Worksheet |
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2.1
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Finding the Maximum Volume of a Box - Box: PDF
, Word ; Table: PDF
, Excel
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2.1 |
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♦Analyze Piecewise-Defined Functions
1 - Class Worksheet |
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2.2 |
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Combinations of Functions -
Notes |
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2.2
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The
Average Rate of Change of a Function -
Notes |
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2.2 |
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The Difference Quotient -
Notes-Theory,
Example |
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2.4
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Symmetry
- About the x-axis, y-axis, origin -
Notes ,
Extra Worksheet &
Graphs |
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2.4
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Symmetry - Even /
Odd Functions - Notes 1
, Notes 2
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2.4
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♦Parent Functions
- Notes
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2.4
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♦Graphing Transformations:
Notes -
Terminology
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Notes -
Graphing Summary
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2.4
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Graphing
- Notes ,
Notes - "Slope" |
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2.4
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♦Transforming Parabolas -
Class Worksheet
, Large
Graphs |
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2.4
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Graphing Parabolas -
Extra Worksheet
, Key
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2.4
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♦Graphing Transformations
2 (Find the Equation of Parabolas) -
Homework
, Key
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2.4 |
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♦Transforming Parent Functions -
Class Worksheet
, Large
Graphs |
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2.4
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♦Graphing Transformations
4 (Find the Equation of Parent Fcns.) -
Homework |
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2.4
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Graphing
Transformations 3 (Piecewise defined functions) -
Extra Example
, Extra Worksheet
, Key
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2.4
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Graphing Transformations
Trig I - Notes |
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♦Analyze Piecewise-Defined Functions
2 - ClassWorksheet |
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Chapter
3
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Quadratic Functions and Equations;
Inequalities |
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3.1 |
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Number System:
Flowchart |
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3.1 |
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Visualizing Complex Numbers -
Equality
, Graph & Modulus
, Argument ,
Trig Form ,
Addition - parallelogram vs. vectors
, Subtraction ,
Multiplication |
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3.2 |
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TI-83/84
Plus Graphing Calculator Solving Equations Summary -
Extra Summary |
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3.2 |
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♦Functions: Zeros / X-Intercepts
/ Solutions / Factors - Class
Notes |
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3.2 |
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♦Solving Equations
with your Graphing Calculator 2 -
Homework , Key (More , Key) |
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3.2 |
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♦Complete the Square Method ,
Class Notes , Large Print |
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3.2 |
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♦Quadratic
Formula:
Proof ,
Discriminant ,
Homework ,
Key |
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3.3 |
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♦Maximizing "Enclosed" Area -
Homework
GRAPH:
ex) 1 , ex) 2
, ex) 3 ,
ex) 4
Animations:
ex) 1 ,
ex) 2
, ex) 3 ,
ex) 4 |
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Chapter
4
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Polynomial
and Rational Functions |
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4.1 |
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Power Functions: 
- Notes ,
Notes ,
Notes: End Behavior
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4.1
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Polynomials:
Definitions, Classify, Properties - Notes ,
Notes: End Behavior |
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4.1
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Functions:
Zeros / X-Intercepts / Solutions / Factors -
Notes |
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4.1
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♦Repeated Zeros of a Polynomial, 3
Cases
- Notes |
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4.1
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♦Factoring
Polynomials: Zeros and Multiplicity Summary -
Notes |
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4.1 |
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♦Factoring a Polynomial
by Using Its Graph 1 - Class Worksheet
, Key
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4.1
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♦Factoring a Polynomial
by Using Its Graph 2 -
Homework ,
Key
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4.2 |
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Intermediate Value Theorem -
Notes |
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4.4 |
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♦SUMMARY: Factor / Find Zeros of Polynomials 1 -
Homework |
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4.5
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Rational Functions
and Asymptotes Summary -
Notes
, Notes: Advanced
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4.5 |
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Find an Equation of the Rational Function given a Table of Values -
Notes |
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4.5
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Rational Functions:
Notes: Hole , Notes: Slant Asymptote ,
Notes: Special Cases
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4.6
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Solving Inequalities by Table -
Extra Summary |
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Chapter
5
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Exponential
and Logarithmic Functions |
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5.1 - 5.6
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♦Exponential and
Logarithmic Functions Summary -
Notes: Summary
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5.1
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One-to-one
Functions: Notes: Definition ,
Notes: Parents ,
Extra Graphs1 ,
Extra Graphs2
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5.1
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Steps to Find
the Inverse Function Example -
Notes: Complete Example
, Outline
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5.1
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♦Functions and Inverses -
Homework |
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5.2 |
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♦Magic Penny Problem -
Class Worksheet |
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5.2
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Exponential Functions -
Notes1 ,
Notes2 ,
Notes3 ,
Class Worksheet
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5.2 |
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What is e ? -
Notes |
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5.2
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Translating Exponential Functions
- Notes |
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5.2
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Estimating Exponential Functions -
Extra Notes |
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5.2
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Doubling Rice Grains - Notes
, supporting
calculations |
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5.2
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Power Functions vs. Exponential Functions
- Notes |
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5.2
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Visualize Powers of 10 - Web
Link |
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5.2 & 5.6
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♦Drug Medication -
Homework |
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5.3 &
5.4 |
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Laws of Exponents 2 - Notes |
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5.6 |
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♦Compound Interest -
Proof ,
Class Worksheet ,
Key |
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5.3 |
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Logarithmic Functions
- Notes1 , Notes2 |
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5.3
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Exponential and Logarithmic
Functions Symmetry - Notes
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5.3
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Estimating Logarithmic Functions -
Extra Notes |
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5.6
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♦Healing of Wounds -
Class Worksheet |
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5.6 |
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Monthly Payment Formula -
Notes |
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5.6
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Carbon-14 Dating - EXTRA:
Notes1
, Notes1- Large Print ,
Notes2 , Notes3
,
Report |
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5.6 |
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Exponential function vs. Logistics
function - Notes |
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Chapter
6
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Systems
of Equations and Matrices |
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6.1
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Systems of Linear Equations -
Notes: Summary of 3 Cases ,
Notes: Example of 3 Methods |
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6.3
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Solving Systems of Linear Equations
Using the
TI-83/84 - Notes |
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6.3 |
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Solving Systems of Linear Equations -
3-D Graph -
Extra: 3-D Graph |
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6.3 |
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Matrix Row Transformations -
Notes |
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6.3
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Solving Systems of Linear Equations - Gaussian
Elimination - Handout
, Larger Print |
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6.4 |
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Properties of Matrices -
Notes |
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6.8 |
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Partial Fraction Decomposition -
Summary |
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Solving Systems of Non-Linear
Equations - Notes |