Subject Areas covered under Special Algebra Membership-

Pre-Algebra:


Numeric Fractions
Decimal numbers, power of 10, rounding
Operations with Signed Numbers
Exponents and operations on exponents
Divisibility and Prime Numbers
Roman numerals
Inverse operations for addition and multiplication, reciprocals
Evaluation of expressions, parentheses  Distributive, associative, commutative properties, FOIL
Equations
Inequalities, trichotomy
Linear Equations, Graphs, Slope
Proportions
Percentage and Pie Charts
Number Line
Average  


Algebra I:

Algebra in Finance
Functions, Domain, NOT graphing
Coordinate systems, graph plotting, etc
Graphs, graphing equations and inequalities
Real numbers, Irrational numbers, etc
Absolute value
Logarithm
Systems of Linear Equations  Square root, cubic root, N-th root
Negative and Fractional exponents
Expressions involving variables, substitution
Polynomials, rational expressions and equations
Radicals -- complicated equations involving roots
Quadratic Equation
Inequalities, trichotomy
Systems of equations that are not linear  


Algebra II:



Complex Numbers
Linear Algebra (NOT Linear Equations)
Introduction to vectors, addition and scaling
Matrices, determinant, Cramer rule
Exponent and logarithm as functions of power
Rational Functions, analyzing and graphing  Conic sections - ellipse, parabola, hyperbola
Sequences of numbers, series and how to sum them
Probability and statistics
Trigonometry
Combinatorics and Permutations
Unit Conversion  


Geometry:

Geometric formulas
Angles, complementary, supplementary angles
Triangles
Pythagorean theorem
Volume, Metric volume
Circles and their properties
Rectangles  Length, distance, coordinates, metric length
Proofs in Geometry
Bodies in space, right solid, cylinder, sphere
Parallelograms
Points, lines, angles, perimeter
Polygons
Area and Surface Area

 
 
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