MATHTEACHER Curriculum
 Algebra 1

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
multistep equations and inequalities
more...
 Algebra 2

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 and Probability

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 nondisjoint 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 and Coordinate Geometry

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, doubleangle • 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...
 Calculus and Linear Programming

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...