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Arithmetic Number Theory
- Integers, Natural Numbers, Operations with
Signed Numbers, Order of Operations, Rational
and Irrational Numbers, Prime Numbers, Composite Numbers,
Greatest Common Divisor (GCD),
Least Common Multiple (LCM), Absolute Value.
Properties of Real Numbers
-
Commutative Property, Associative Property, Distributive
Property, Order
of
Operations.
Series
- Arithmetic, Geometric, and Harmonic Series. Terms and Sequence,
The Common Difference, The
Common Ratio.
Interests -
Percent, Ratio and Proportions, Average, Simple and Compound Interest, Present Value, Future
Value.
Algebra Exponents -
Laws of Exponents, Negative Exponents, Fractional Exponents
Logarithms
- Rules of Logarithms, Common Logarithms, Natural Logarithms,
The Exponential Function
Pythagorean Theorem, Simple Equations, Inequalities. Quadratic
Solutions - The Quadratic Formula, Quadratic Graphs.
Geometry
Angles
and Triangles - The Right Angle, Acute, Obtuse, Straight, and Reflex Angles,
Complementary and
Supplementary Angles,
Adjacent and Alternate Angles,
Vertically Opposite Angles,
Corresponding Angles. Plain Figures -
Areas and Perimeter of a Square,
Rectangle, and Triangle, Areas and Circumference of a
Circle, Equation of a Circle, Areas of a
Trapezoid, Parallelogram and Polygon.
Solid Figures -
Areas and Volumes of Prisms, a Right Circular
Cylinder and Sphere,
Volumes of Pyramids, a
Cone Triangles - Similar Triangles, Congruent
Triangles
Coordinates and The Straight
Line - Length of a Straight Line, Slope
of a Straight Line, Equation of a
Straight Line, Graphs of a Straight Line, Parallel Lines, Perpendicular Lines.
Probability
and Statistics
Data
Analysis - Mean, Median, Mode, Sample Space,
Frequency, Factorial, Combinations, Permutations,
Probability.
Introduction to Trigonometry
Trigonometric Ratios
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