Style: The class is interactive. Students may ask questions at any time, the instructor will explain and 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.

Set Theory: definitions, operations, introduction to sets of numbers.

Elements: points, lines, planes, parallel lines, angles, perpendicular lines, angle chasing, segment, distance.

Loci: perpendicular bisector, angle bisector, circle, ellipse, parabola, other simple loci.

Polygons: definitions, regular polygons, angles of polygons, symmetry, sum of interior and exterior angles, number of diagonals.

Triangles: definitions, classification, congruence, special triangles, important lines in triangles.

Quadrilaterals: definitions, classification, properties.

Inequalities: proofs, indirect proof, triangle inequality.

Similarity: ratios, proportions, properties of proportions, scaling, similar triangles, similar figures, angle bisector theorem.

Right Triangles: definition, Pythagorean theorem, Pythagorean triples, special triangles.

Trigonometric Ratios: right angle triangle trigonometry, ratios of complementary angles.

Circles: definitions, arc, arc measures, chords, inscribed angles, length of arc, sector, segment, area of sector, area of segment, tangent circles, common tangent theorem, concentric circles, power of a point.

Polygons and Circles: inscribed and circumscribed figures.

Areas of Plane Figures: triangles, circles, polygons.

Coordinate Geometry: points, quadrants, midpoint, distance, line, slope, parallel and perpendicular lines, vectors.

3D Geometry: representing points in 3D, how to draw in 3D, orthographic projections, box, cube, prism, cylinder, cone, pyramid, sphere, surface areas and volumes, sections and projections in problem solving, 3D applications of Pythagorean theorem.

Transformations: symmetries, translations, rotations, reflections, composition of transformations, dilations, mappings, inverses, identity transformation.

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