SAT Lessons
Short, focused lessons on the topics that show up most on the SAT — more are added regularly. They are organised as two courses, each starting with how the section works and climbing Foundations → Medium → Advanced: SAT Math and SAT Reading and Writing.
Isolate a variable in linear equations and inequalities, including what happens when you multiply or divide by a negative number.
easy · ~12 min
Separate a passage's central claim from its supporting details, examples, and counterarguments.
easy · ~10 min
Know when an introductory word, phrase, or clause needs a comma before the main sentence begins.
medium · ~10 min
Solve systems of two linear equations using substitution and elimination, and know when each method is faster.
medium · ~15 min
Before the first equation: how the digital SAT is built, what the Math section actually tests and in what proportions, how adaptive modules and scoring work, what the calculator and reference sheet give you, how student-produced responses must be typed, and how to use this course.
easy · ~15 min
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.
easy · ~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.
easy · ~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.
easy · ~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.
easy · ~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.
medium · ~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.
medium · ~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.
medium · ~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.
medium · ~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.
hard · ~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.
hard · ~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.
hard · ~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.
hard · ~40 min