Main Category Description
General Discussion about SAT math and SAT subject tests Mathematics Level 1 & 2
Arithmetic word problems,percent, ratio, and proportion. Properties of integers ,even, odd, prime numbers, divisibility. Rational numbers. Sets:union, intersection, elements. Counting techniques, Sequences and series,exponential growth Elementary number theory, Complex Numbers, matrices, vectors, counting.
Substitution and simplifying algebraic expressions, Properties of exponents, Algebraic word problems, Solutions of linear equations and inequalities, remainder and factor theorem, Systems of equations and inequalities, Quadratic equations, Rational and radical equations, Equations of lines, Absolute value, Direct and inverse variation, Concepts of algebraic functions, Newly defined symbols based on commonly used operations, representation and modeling, properties of functions (linear, polynomial, exponential,rational, inverse trigonometric, periodic, piecewise, recursive, parametric,logarithmic, trigonometric).
Area and perimeter of a polygon, Area and circumference of a circle, Volume of a box, cube, and cylinder, Pythagorean Theorem and special properties of isosceles, equilateral, and right triangles. Properties of parallel and perpendicular lines. Coordinate geometry, Geometric visualization, Slope, Similarity, Transformations. Lines, parabolas, circles, ellipses, hyperbolas, symmetry, polar coordinates, identities, radian measure, law of cosines, sine rule, equations, double angle formulas,Solids, surface area and volume of cylinders, cones, pyramids, spheres and prisms. Coordinates in three dimensions.
Data interpretation, tables and graphs Descriptive statistics, mean, median, and mode, Probability.Mean, median, mode, range, interquartile range, standard deviation, graphs and plots, least squares regression -linear, quadratic, exponential-.