| Arithmetic |
| |
· Integers - addition, subtraction, multiplication,
division
· Fractions - addition, subtraction, multiplication, division
· Decimals - addition, subtraction, multiplication, division
· Order of Operations
· Ratio and Proportion
· Percentage
· Average (arithmetic mean); exponents
· Multiples and factors of integers
· Absolute values of numbers
· Greater than/less than
· Conversions between fractions and decimals
· Estimation
· Counting problems and simple probabilities |
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Elementary
Algebra
(assumes prior knowledge of all topics covered in
Arithmetic) |
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· Substituting values into algebraic expressions
· Setting up equations for given situations
· Factoring, addition, subtraction, multiplication and division
of polynomials
· Solving polynomial equations by factoring
· Formula manipulation and field axioms
· Linear equations and inequalities in one variable
· Exponents |
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Page |
Intermediate
Algebra
(assumes prior knowledge of all topics covered in
Elementary Algebra) |
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· Rational Expressions
· Exponents
· Systems of linear equation in two variable
· Quadratic formulas
· Absolute value equations and inequalities |
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Page |
| Coordinate
Geometry |
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· Linear equations in two variables
· Distance formula in the plane
· Graphing conic (circle, parabola, etc.)
· Graphing relations in the plane
· Graphing systems of equations and rational functions
· Midpoint formulas |
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Page |
College
Algebra
(assumes prior knowledge of all topics covered in
Intermediate Algebra) |
| |
· Functions
· Exponents
· Complex numbers
· Arithmetic and geometric sequences and series
· Factorials
· Matrices (basic operations, equations and determinates)
· Systems of linear equation in two variable
· Logic and proof techniques
· Roots of polynomial functions |
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of Page |
Geometry
(assumes prior knowledge of all topics covered in Elementary Algebra) |
| |
· Angles - supplementary, complementary, adjacent and vertical
· Triangles - perimeter, area Pythagorean Theorem, triangle
angle sum, exterior angle
and similar triangles
· Circles - perimeter, area, arcs, etc.
· Rectangles, parallelograms and trapezoids
· Three-dimensional concepts
· Logic and proof techniques |
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Page |
Trigonometry
(assumes prior knowledge of all topics covered in
Intermediate Algebra and Geometry) |
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· Trigonometric functions and identities
· Right - angle trigonometry
· Trigonometric equations
· Graphs of trigonometric functions
· Special angles
· Polar coordinates
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