Style: The class is accessible. Students may ask questions at any time, the instructor will not move on unless everyone is ready. The class is designed to help with the majority of standardized tests, including the SAT, which means we will go into details and types of questions that may be somewhat different from school assignments. In general, we do not promote learning by rote and we do not assign 'busy homework'. This class is harder and more detailed than the usual school class - the student must be willing to take on a challenge! Our class is close in difficulty and style to what is currently taught in Eastern Europe, Russia and some Western European countries.

Credit: There is no credit for this class. Our goal is to help students understand logically, memorize for the long term and enjoy the control they acquire over the subject matter. We believe there is a conflict of interest between selling knowledge and selling credits, therefore we do not grade students' performance and we do not give credit. For parents' information, we send a progress report based on classroom observations and homework completion.

Homework: There is homework assigned at each lesson. Homework is collected and graded. Full answers and solutions are sent after all the homework has been turned in.

Set Theory
Definitions Operations with Sets Inclusion-Exclusion Principle

Integers
Number Line Positive and Negative Integers Absolute Value Addition/Subtraction Properties of Addition Order of Operations I Multiplication/Division Positive Integer Powers Distributive Property/Factoring

Elementary Number Theory
Multiples and Factors Prime Factorization LCM and GCF Positive, Integer, Proper Factors Digits; System of Numeration Expanded Form Perfect Squares Square Root Order of Operations II

Rational Numbers
Definition Decimals Converting Fractions to Decimals Converting Decimals to Fractions Operations with Fractions Order of Operations with Fractions Ratios and Proportions Properties of Proportions Distance, Rate, Time Percentages Markup and Discount Interest Rates Negative Exponents Scientific Notation Order of Operations III

The Coordinate Plane
Plotting in Coordinates, Quadrants Lines, Slope, y-Intercept, Midpoint Linear Equations

Equations
Word Problems Systems of Equations Word Problems

Geometry
Points, Lines, Planes, Angles Segments, Figures, Solids Parallel, Perpendicular, Midpoint Congruence, Similarity Loci, Circles, Spheres Triangles, Special Lines Polygons Quadrilaterals, Rectangles Areas and Perimeters Circle Circuference and Area Circle Sectors Pythagorean Theorem Prisms, Pyramids, Cones Volumes Tilings, Symmetries

Simplifying Expressions
Algebraic Identities Factoring Rapid Computations Simplifying Expressions Order of Operations III

Data Interpretation
Data Sets Range, Mode, Median Percent Increase/Decrease

We send GOTM lecture notes and homework at each lesson. Answer keys and full solutions are sent before the next lesson.