Advanced Math Lessons
Algebra, functions, trigonometry, statistics, and geometry — some with an interactive graph built into the lesson. Preparing for the SAT specifically? The SAT Math course walks the four tested domains from Foundations to Advanced.
You will be able to read the slope and y-intercept straight off an equation, compute slope as rise over run from any two points, plot a line from its equation in under a minute, find both intercepts by substitution, recognize horizontal and vertical lines and their special slopes, and convert a line written as Ax + By = C into slope-intercept form without losing a sign.
easy · ~20 min
You will be able to calculate slope and explain it as a rate of change, move between slope-intercept, point-slope, and standard form without losing information, and build a linear model from a table, a graph, or a word problem. You will also be able to interpret what the slope and the intercept mean in a real context, count the solutions of a system of two lines, and handle parallel and perpendicular lines.
medium · ~20 min
You will be able to choose the right form of a quadratic for the question being asked, find the vertex and axis of symmetry three different ways, complete the square reliably, use the discriminant to count real solutions without solving, and set up maximum and minimum word problems.
medium · ~22 min
You will be able to tell linear change from exponential change in a table, a graph, or a word problem, translate any percent increase or decrease into a growth or decay multiplier, write and use the model y = a times b^x, handle doubling time and half-life questions without guessing, and set up compound interest for any compounding period.
medium · ~20 min
You will be able to identify the hypotenuse of any right triangle no matter how it is drawn, find a missing hypotenuse or leg with a² + b² = c², recognize the Pythagorean triples that let you skip the arithmetic, simplify a radical answer, use the distance formula as the theorem on a coordinate plane, and spot the right triangle hidden inside a rectangle, ladder, or coordinate problem.
easy · ~20 min
You will be able to sketch the parent sine wave from its five key points, read the amplitude, period, phase shift, and midline straight from an equation of the form y = A sin(B(x - C)) + D, write an equation from a described or drawn graph, find the maximum and minimum values of any shifted wave without graphing, and connect the wave back to the unit circle.
medium · ~20 min
You will be able to compute the mean, median, mode, and range of a list quickly and in the right order, predict how an outlier or a change to the data moves each statistic, decide which of two data sets has the larger standard deviation without computing anything, and work backwards from a target mean to the score that produces it.
medium · ~20 min
You will be able to say what a random sample and a margin of error do and do not let you conclude, tell an observational study from an experiment and know which one supports a cause-and-effect claim, read a scatterplot and interpret the slope and a residual of a line of best fit in context, pull conditional probabilities out of a two-way table by choosing the right denominator, and know why a margin of error, a fitted line, and a table each answer only the question they were built for.
medium · ~20 min