






Real
Numbers 
The set of real
numbers 
Rational numbers 
Decimal
representation of rational numbers or fractions

Expanded
form of decimal number, decimal fractions

Terminating decimals

Recurring
decimals (Infinite decimals, period) 
Purely
recurring decimals 
Mixed
recurring decimals

Converting decimal number to a
fraction 
Converting
terminating decimal to a fraction 
Converting
the purely recurring decimal to a fraction 
Converting
the mixed recurring decimal to a fraction 
Exponential
or scientific notation of decimal numbers

Converting
from a number to scientific notation 
Converting
from scientific notation to a decimal number 
Irrational numbers 
Rationalizing
a denominator 
The
Real Number Line, and Relations 
Inequalities of real
numbers 
Relations,
less than and greater than 
Interval
definition and notation 
Closed
and open intervals (unbounded
intervals) 
Distance
and absolute value 
Properties of absolute
value 
Properties
of the Real Numbers 
Properties of
exponents 
The
rules for powers (or exponents) 
Simplifying
an exponential expression 
Order
of Operations 
Absolute
Value Equations 
Solving absolute
value equations 
Linear
Inequalities

Solving inequalities 
Properties of
inequalities 
Examples of solving
single linear inequalities 
Solving compound
(double) inequalities 
Absolute
Value Inequalities 
Solving linear
inequalities with absolute value 
Examples of solving
linear inequalities with absolute value 
Quadratic
Equation x^{2}
= a,
a
> 0 
Radicals
(roots) 
Square root 
Properties of square roots 
Adding,
subtracting, multiplying and dividing square roots 
Rationalizing
a denominator 
The
Graph of the Quadratic Function
f
(x)
= x^{2} 
Translation of the source quadratic function in the
direction of the yaxis, 
quadratic function of the form f
(x)
= x^{2 }+ y_{0} 
Quadratic
equation
x^{2}
= a,
a
>
0 
The
Principal Square Root Function  the inverse of the square of
x
(or quadratic) function 
Definition
of the inverse function 
The graph of the principal square root function 
Translation of the principal square root function in the
direction of the xaxis 
Radicals
(roots) and/or Exponentiation with Fractional (rational)
Exponent

Rules and properties of radicals

Rules and properties of radicals
and/or fractional exponents

Simplifying radical expressions

Operations
on radical expressions 
Adding, subtracting and multiplying radicals

Rationalizing a denominator

Radicals
and/or fractional (rational) exponents 
Rational
Expressions

Simplification of rational expressions, reducing to lowest
terms

Addition and subtraction of
rational expressions

Multiplication
and division of rational expressions

Solving complex rational
expressions

Imaginary
and Complex Numbers 
Imaginary numbers
basic definitions 
Imaginary unit 
Complex Numbers 
Real and imaginary
parts 
The complex plane 
The set of all complex
numbers C 
Absolute value,
modulus of a complex number 
Complex conjugates 
Addition
and subtraction of complex numbers 
Multiplication and
division of complex numbers 
Polar
or Trigonometric Notation of Complex Numbers 
Multiplication and division of complex numbers in the polar form 
Exponentiation
and root extraction of complex numbers in the polar form 
Powers and roots of
complex numbers, use of de Moivre’s formulas 
Euler’s formula,
relationship between trigonometric functions and the complex exponential
function 












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