Math Topics

MATH-TEACHER Curriculum

Algebraic Expressions 1 — First Steps
Substitution in an expression • Combining like terms • Numerical value of an expression • Multiplying monomial and polynomials • Translating verbal phrases to expressions • Factoring expressions more...
Algebraic Expressions 2 — Intermediate
Special products • Factoring expressions using formulas • Translating verbal phrases to equations • Base, power, exponents • Laws of exponents more...
Area and Volume — Metric system • Calculations of Area and Volume of Geometrical objects more...
Equations and inequalities of the First Degree — Equivalent equations and inequalities • The solutions set • Solving single step and multi-step equations and inequalities more...

Equations 2 — Equations and inequalities of the Second Degree
Operations on radicals • Simple equations • Complete equations • The discriminant • Quadratic inequalities more...
Equations 3 — Equations and Systems with Two variables
Equations with two variables • Solving a system graphically • The substitution method • The addition method • Proportional numbers • Dependent and inconsistent systems more...
Equations 4 — Quadratic Systems and Parametric Equations
Solving quadratic systems • Graphical meaning of the solution • Solving a linear equation with one parameter • Solving and equation with on parameter • Solving a system with one parameter more...
Sequences — Explicit definition • The general term • Recursive definition • Arithmetic and geometric progression • Exponential growth and decay more...

Word Problems 1 — Problems of the first degree on percentage and numbers more...
Word Problems 2 — Problems of the first degree dealing with geometrical shapes and uniform motion more...
Probability 1 — First Steps
The fundamental principle of counting • Sample space • Event as a subset • Probability of an event • Disjoint events • Probability of the union of two events • Independent events and probability of the intersection • Complementary events • Union of non-disjoint events • Conditional probability • Tree diagrams more...
Probability 2 — Advance Topics
Sampling with/without replacement • Permutations • Combinations • Bernoulli trials • Binomial distribution • Random variable, mean and standard deviation • Standardized variable z • The normal curve more...

Trigonometry 1 — Trigonometry of the Triangle
Right triangles • Definition of SIN, COS, TAN in the right triangle • The inverse functions • Identities • Functions of an obtuse angle • Law of cosines • Law of sines more...
Trigonometry 2 — Advanced Trigonometry
The unit circle • SiNx, COSX, TANX on the unit circle • Radians and degrees • Arc • Area of a sector • Formulas for sum, double-angle • Writing sums as products • Solving trigonometric equations • Periodicity more...
Coordinate Geometry — Points, Line, Circle
Points in the plane • Midpoint • Endpoint • Distance • The straight line • Slope • Parallel and perpendicular lines • Radius and center of a circle • Tangent to a circle more...
Coordinate Geometry — Ellipse, Parabola, Hyperbola
Ellipse w Hyperbola • Parabola • Axes • Foci • Asymptotes • Directrix • The tangent and the normal to conic sections more...

Analysis 1 Derivatives — Derivatives of Polynomials
Deriving and investigating elementary functions The notion of the derivative, investigating polynomial functions The slope of a graph at a point • Derivative at a point • Derivative function • Increasing and decreasing function • Stationary point • Extreme point • Investigating polynomial functions of second, third and fourth degree more...
Analysis 2 Derivatives — Derivatives of Elementary Functions
Deriving products and quotients • Deriving composite functions • Investigating rational, irrational, trigonometric, exponential, logarithmic and general power functions more...
Analysis 3 Integrals — Integrals
Antiderivatives, calculation of area and volume Antiderivatives • The indefinite integral • Relationship between two antiderivatives • The graphic meaning of the constant of integration • Rules of integration • The area function • Solid of revolution more...
Linear Programming — Inequalities and systems with two variables, solving problems Inequalities and systems with two variables • Linear function with two variables • Feasible domain • Linear programming problems more...