SAT Math course

The moves every Algebra question assumes: solving a linear equation by undoing operations, reading slope and intercept off an equation or a graph, writing a line from two points, solving a small system by substitution, and handling an inequality without flipping the wrong way.

~30 min

Ratios and proportions set up so the units line up, unit rates and conversions, the three percent questions and one method for all of them, mean, median, mode and range from a list or a table, reading a bar chart or a two-way table without misreading the axis, and probability as a fraction of the total.

~30 min

The building blocks of every nonlinear question: the exponent rules, function notation and evaluation, factoring by greatest common factor, difference of squares and simple trinomials, solving a quadratic by setting factors to zero, reading a parabola's vertex, intercepts and direction, and recognizing exponential growth and decay.

~35 min

The angle facts around intersecting and parallel lines and inside a triangle, the area, perimeter and volume formulas the reference sheet gives you and the ones it does not, the Pythagorean theorem and its common triples, and the three right-triangle trigonometric ratios with a method for never confusing opposite and adjacent.

~30 min

The multi-step linear questions that fill the middle of both modules: clearing fractions, translating a paragraph into an equation or inequality, solving systems by elimination, telling from the coefficients whether a system has one, no or infinitely many solutions, parallel and perpendicular lines, and interpreting a constant in a real model.

~35 min

Percent change and successive percent changes with multipliers, multi-step rates and unit conversions, scatterplots and the line of best fit (slope meaning, predicted versus actual), conditional probability from a two-way table, comparing spread with range and standard deviation, and what a random sample and a margin of error let you conclude.

~35 min

The quadratic formula and what the discriminant tells you, vertex form and completing the square, exponential models with a rate per period, rational exponents and radical equations with their extraneous solutions, zeros and factors of polynomials, simplifying rational expressions, and solving a line-meets-parabola system.

~40 min

Similar triangles and the proportions they set up, the 45-45-90 and 30-60-90 side ratios, finding one trigonometric ratio from another and the cofunction fact sin x = cos(90 - x), arc length and sector area from a central angle, the equation of a circle and its center and radius, and distance and midpoint in the coordinate plane.

~35 min

The linear questions that carry unknown constants: the value of k that makes an equation true for every x or for no x, the value that makes a system have no solution or infinitely many, a linear function recovered from two of its values, perpendicular lines through a given point, and word problems with two constraints where the answer is a boundary.

~40 min

Working with the mean as a sum: missing values, removed values and weighted means of combined groups; how outliers and skew move the mean, median and standard deviation; recognizing exponential data by ratios; conditional probability from percents; what random sampling and random assignment each let you conclude; how the margin of error changes with sample size; and unit conversions with squared and cubed units.

~40 min

Quadratics with an unknown constant and the discriminant condition that pins it down, the sum and product of roots without solving, matching coefficients in equivalent expressions, the remainder theorem and factors of polynomials, rational equations with extraneous or no solutions, exponential equations with a common base and equivalent rates per period, and translations of a function's graph.

~45 min

Radians and the arc and sector formulas in radians, the unit circle and the signs of sine and cosine by quadrant, the identity sin² + cos² = 1, inscribed angles and tangents, completing the square to find a circle's center and radius, congruence and similarity conditions, and how scaling a figure scales its area and volume.

~40 min