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Preliminary Topics |
Absolute
Value
Factoring Numbers
Fractions
Geometric Formulas
LCM
and GCF
Metric Conversions
Negative
Numbers
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Number Bases
(binary, octal, etc.)
Number
Properties
(Distributive, Associative,
Commutative,
etc.)
Number Types
(natural,
integer, real, etc.)
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Converting
between
Decimals, Fractions,
and
Percents
Rounding
(and significant
digits)
Set
Notation
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Beginning Algebra Topics |
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Canceling Units
Distance Formula
Engineering
Notation
Evaluation
Exponents:
Basic
rules
Negative exponents
Fractional
exponents
Graphing Overview
Graphing
Absolute Value
Graphing Linear Equations
Graphing
Radical Equations
Graphing Linear Inequalities
(of the form "y < 2x + 3")
Inequalities
Overview
(three solution methods)
Inequalities:
Linear
(such as "2x < 4")
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Intercepts
Midpoint
Formula
Order of Operations
Polynomials
(definitions & "like terms")
Polynomials:
Adding &
Subtracting
Polynomials:
Multiplying
Polynomials: Dividing
Radicals
(square roots, cube roots,
rationalizing denominators,
etc.)
Ratio & Proportion
Scatterplots
& Regressions
Scientific
Notation
Simple
Factoring
like "2x + 6
= 2(x + 3)"
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Simplifying with Exponents
Simplifying with Parentheses
Slope of a straight
line
Slope
and Graphing
Slope
and y-intercept
(their meaning in
the
context of word problems)
Solving Absolute
Value
Equations
Solving
Linear Equations
Solving Literal Equations
Solving
Radical Equations
Straight-line equations
(y = mx + b)
Variables
x,y-Plane
(plotting points, etc.)
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Intermediate Algebra Topics
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Completing the Square:
circles
ellipses
solving quadratics
finding the
vertex
Descartes' Rule of Signs
Domain
and Range
Even and Odd Functions
Factor
Theorem
Factoring Polynomials
Factoring
Quadratics
Finding Polynomials from
Their
Zeroes
Function
Notation
Functions
Function
Transformations
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Graphing Quadratic
Equations
Deriving
Vertex Formula
Graphing Systems of
Linear
Inequalities
Inequalities: Absolute Value
Inequalities: Quadratic
Linear
Programming
Numerical Approximation
of Zeroes
Operations on Functions
Piecewise
Functions:
definition of
graphing of
Polynomial
Graphs
Rational
Roots Test
Remainder Theorem
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Quadratic Formula
Deriving the Quad. Formula
Sequences
and Series
Solving Polynomials
Solving
Quadratic Equations
Solving Systems of
Non-Linear
Equations
Special Factoring Formulas
(difference
of squares,
sums and differences of
cubes, etc.)
Symmetry
Synthetic Division
Variation
(direct, inverse, & joint)
Vertical
Line Test
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Advanced Algebra Topics
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Asymptotes
Binomial
Theorem
Complex
Fractions
Complex Numbers
Composition
of Functions
Conics: Overview
Parabolas
Circles
Ellipses
Hyperbolas
Cramer's
Rule
Determinants
Exponentials
Graphing Exponential
Equations
Graphing Logarithmic
Equations
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Graphing Rational
Equations
Induction Proofs
Inequalities:
Polynomial
Inequalities: Rational
Expressions
Inverse
Functions
Logarithms
Log
Rules
Matrix Definitions
Matrix
Addition
and Subtraction
Matrix
Multiplication
Matrix Row Operations
Matrix
Inversion
Minors and Cofactors
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Next Number
in a
Sequence
Partial-Fraction
Decomposition
Rational
Expressions:
Simplifying
Rational
Expressions:
Adding
Rational
Expressions:
Multiplying
Solving
Exponential
Equations
Solving
Logarithmic
Equations
Solving Rational Equations
Solving
Systems of
Linear Equations
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Solving Word Problems
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Translation:
How to translate word problems from English into mathematical equations
"age"
word problems
"area/volume/perimeter"
geometry word problems
"coin"
(money) problems
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"distance"
d = rt word problems
"investment"
simple interest I = Prt
"mixture"
problems
"number"
(integer) problems
"work"
problems
Determinant Word Problems
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Exponential
and Logarithmic
word
problems
"Percent
of" word problems
(including increase /
decrease
problems)
Quadratic word problems
(including
projectile motion)
Systems-of-equations
word
problems
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Appendix
|
"The Bible
says pi = 3"
Books: Reviews, etc.
Box-and-Whisker
Plots
Calculators
(what to look
for, what to buy)
Factorials
|
|
Formatting
Math as Text
(how to type math when
e-mailing or
posting
questions on tutoring
forums)
How
Can 0.999... = 1? |
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How Do I Compute
My Grade?
Mean, Median,
and Mode
Placement Tests
Stem-and-Leaf
Plots
Venn Diagrams
Why
Do I Have to
Take Algebra? |
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...and the beginnings
of trig
|
Advanced Trig
Graphs
Angles of Elevation / Depr.
Basic
Trigonometric Ratios
Conventions
Evaluating
Using Identities
Greek Letters & Their Names |
|
Inverses of
Trig Ratios
Proving Trig Identities
Pythagorean
Theorem
Quadrants and Angles
Radians
and Degrees
Right-Triangle
Word Probs |
|
Sectors, Areas,
and Arcs
Solving Trig Equations
Special
Angle Values
Trig Functions & Graphs
Trigonometric
Identities
Unit Circle |
