Honors College Algebra Materials
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| TEST 1 - BASICS OF ALGEBRA |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 1A |
Subsets of the Real Numbers |
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| 1B |
Rational and Irrational Numbers |
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| 1C |
Properties of Real Numbers |
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| 1D |
Properties of Order and Absolute Value |
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| 1E |
Exponents |
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| TEST 2 - RADICAL EXPRESSIONS |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 2A |
Simplifying Radicals |
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| 2B |
Operations on Radicals |
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N/A |
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| 2C |
Fractional Exponents |
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N/A |
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| TEST 3 - COMPLEX NUMBERS |
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topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 3A |
Imaginary Numbers and Powers of i |
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| 3B |
Operations on Complex Numbers |
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| 3C |
Dividing Complex Numbers |
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| TEST 4 - PRINCIPLES OF COUNTING |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 4A |
Basics of Counting |
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| 4B |
Permutations |
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| 4C |
Combinations |
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| TEST 5 - POLYNOMIALS |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 5A |
Polynomial Basics |
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| 5B |
Polynomial Division |
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| 5C |
Polynomials & Probability
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| 5D |
Binomial Expansion using Pascal’s Triangle |
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| 5E |
Binomial Theorem |
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| YOU ARE NOT RESPONSIBLE FOR LESSON 5F ON THis TEST (BUT IT MAY BE EXTRA-CREDIT) |
| 5F |
Binomial Extras
Just for Fun |
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Show that 0.9 repeating is equal to 1. |
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| TEST 6 - FACTORING |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 6A |
Five Factoring Methods |
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| 6B |
Factoring by Grouping and
Give & Take |
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| 6C |
Factoring Over the Real & Complex Numbers |
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N/A |
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| 6D |
Factoring for Calculus |
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N/A |
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| TEST 7 - RATIONAL EXPRESSIONS |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 7A |
Simplifying, Multiplying, & Dividing Rational Expressions |
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| 7B |
Adding & Subtracting Rational Expressions |
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| 7C |
Complex Rational Expressions |
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| 7D |
Simplifying for Calculus |
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| TEST 8 - MOSTLY LINEAR EQUATIONS |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 8A |
Solving Mostly Linear Equations |
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| 8B |
Literal Equations & Formulas |
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| 8C |
Linear Applications
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| TEST 9 - MOSTLY QUADRATIC EQUATIONS |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 9A |
Factoring & the Square Root Property |
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| 9B |
Completing the Square |
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| 9C |
The Quadratic Formula |
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| 9D |
The Discriminant |
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| 9E |
Quadratics &
Other Equations |
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| 9F |
Quadratic Applications
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| MIDTERM EXAM |
| THIS TEST WILL COVER ENTIRE YEAR TO THIS POINT |
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| 40 MULTIPLE-CHOICE QUESTIONS |
| TEST 10 - OTHER EQUATIONS & VARIATION |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 10A |
Equations in Quadratic Form |
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| 10B |
Radical Equations |
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| 10C |
Variation
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| TEST 11 - GRAPHS OF QUADRATICS |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 11A |
Parabolas in
Standard Form
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N/A |
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| 11B |
Parabolas in
Vertex Form
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N/A |
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| 11C |
Quadratic Word Problems
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| 11D |
Quadratic Word Problems Part Deux
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N/A |
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| TEST 12 - INEQUALITIES & ABSOLUTE VALUE |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 12A |
Linear Inequalities
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| 12B |
Polynomial Inequalities |
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| 12C |
Rational Inequalities |
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| 12D |
Absolute Value Equations |
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| 12E |
Absolute Value Inequalities |
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| SUPPLEMENTAL TEST - EQUATIONS OF LINES (ALGEBRA I REVIEW - ON YOUR OWN) |
| LESSON |
topic |
written
NOTES |
videos |
printable ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| SA |
Graphing by the Table Method |
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N/A |
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| SB |
Slope |
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| SC |
Graphing Lines |
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| SD |
Writing Equations of Lines |
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| SE |
Standard Form &
Point-Slope Form |
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| TEST 13 - FUNCTIONS PART I |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 13A |
Domain and Range from a Graph
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| 13B |
Functions
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| 13C |
Domain and Range without a Graph |
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N/A |
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| 13D |
Special Functions
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| TEST 14 - FUNCTIONS PART II |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 14A |
Operations on Functions |
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| 14B |
Composition of Functions |
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| 14C |
Composition of Piecewise Functions |
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N/A |
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| 14D |
Domain of Composite Functions |
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N/A |
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| 14E |
Inverse Functions |
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| TEST 15 - TRANSFORMATIONS & SYMMETRY |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 15A |
Library of Functions
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N/A |
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| 15B |
Vertical Transformations
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| 15C |
Horizontal Transformations
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| 15D |
Order of Transformations
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N/A |
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| 15E |
Tests for Symmetry
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N/A |
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| TEST 16 - POLYNOMIAL FUNCTIONS |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 16A |
Synthetic Division
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| 16B |
Remainder and Factor Theorems |
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| 16C |
Zeros of a Polynomial |
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| 16D |
Approximating Irrational Zeros |
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| TEST 17 - GRAPHING POLYNOMIAL FUNCTIONS |
| LESSON |
topic |
written
NOTES |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 17A |
Sketching Polynomial Functions
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| 17B |
Finding Asymptotes |
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| 17C |
Sketching Rational Functions |
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| final EXAM |
| THIS TEST WILL COVER ENTIRE YEAR TO THIS POINT |
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| 50 MULTIPLE-CHOICE QUESTIONS |
| TEST 18 - exponentials & logarithms |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 18A |
Exponential Growth and Decay |
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| 18B |
Compound Interest |
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| 18C |
Introduction to Logarithms |
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| 18D |
Properties of Logarithms |
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| 18E |
Evaluating Logarithms |
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N/A |
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| TEST 19 - SOLVING exponential & logarithmIC EQUATIONS |
| LESSON |
topic |
written
NOTES |
videos |
TENTATIVE ASSIGNMENTS |
HOMEWORK SOLUTIONS |
| 19A |
Solving Exponential & Logarithmic Equations |
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| 19B |
Euler's Number and the Natural Log |
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