Lesson
Explanations only. Open a lesson to study the method, then use the course page when you want to practice.
PSAT 8/9
4 lessons- PSAT 8/9 · Lesson 1Linear equations and functionsLearn how to translate a relationship into an equation, keep both sides balanced, and read a slope as a rate of change.
- PSAT 8/9 · Lesson 2Systems and inequalitiesUse two conditions at the same time, and keep the direction of an inequality correct when you multiply or divide by a negative number.
- PSAT 8/9 · Lesson 3Ratios, percentages, and dataKeep the order of a ratio, choose the correct whole for a percentage, and read a table before you calculate.
- PSAT 8/9 · Lesson 4Geometry: lines, triangles, area, and volumeLabel a diagram before choosing a formula, and keep perimeter, area, and volume distinct.
SAT
4 lessons- SAT · Lesson 1Heart of AlgebraBuild and solve linear equations, systems, and inequalities, including relationships hidden in a word problem.
- SAT · Lesson 2Advanced math: nonlinear relationshipsWork with quadratics, equivalent forms, exponents, and functions when the relationship is no longer a straight line.
- SAT · Lesson 3Problem-solving and data analysisInterpret ratios, percentages, units, and statistical displays, and avoid treating a model as a cause.
- SAT · Lesson 4Geometry and trigonometryConnect diagrams, circles, and right-triangle ratios to exact relationships rather than to how a figure looks.
ACT
5 lessons- ACT · Lesson 1Numbers, fractions, and factorsKeep fraction operations exact, and use factors to simplify before you expand or guess.
- ACT · Lesson 2Percentages, rates, ratios, and averagesChoose the correct base for a percent or rate, and convert an average back into a total when a value is missing.
- ACT · Lesson 3Equations, quadratics, and sequencesSolve linear and quadratic equations by a method that matches the form, and recognize arithmetic and geometric patterns.
- ACT · Lesson 4Geometry, circles, and trigonometryMeasure diagrams with the right relationship: angle facts, area and volume, circles, and trigonometric ratios.
- ACT · Lesson 5Functions, statistics, and probabilityRead a function as a rule with a domain, and use the correct denominator in a probability or a statistic.
PSAT/NMSQT
4 lessons- PSAT/NMSQT · Lesson 1Linear models and systemsTurn a constant-rate situation into a linear model, and solve systems that represent two conditions at once.
- PSAT/NMSQT · Lesson 2Nonlinear equations and equivalent expressionsRecognize when a relationship is quadratic, exponential, or rational, and simplify without changing the domain.
- PSAT/NMSQT · Lesson 3Data, probability, and conditional statementsRead the group a statistic refers to, and change the denominator when the problem says “given that.”
- PSAT/NMSQT · Lesson 4Geometry and right-triangle trigonometryUse exact relationships among lengths and angles, and attach each trigonometric ratio to a chosen angle.
AP Calculus AB
5 lessons- AP Calculus AB · Lesson 1Functions, limits, and continuitySeparate a function value from a limit, and state the conditions that make a function continuous at a point.
- AP Calculus AB · Lesson 2DifferentiationCompute derivatives with the standard rules and interpret the derivative as a rate or as the slope of a tangent line.
- AP Calculus AB · Lesson 3Applications of derivativesUse derivatives to justify increasing behavior, concavity, and extreme values on an interval.
- AP Calculus AB · Lesson 4Antiderivatives and definite integralsTreat an antiderivative as a family of functions, and a definite integral as accumulated change.
- AP Calculus AB · Lesson 5Differential equationsRead a differential equation as a statement about a rate, and use an initial condition to select one solution.
AP Calculus BC
4 lessons- AP Calculus BC · Lesson 1Sequences and seriesDistinguish a list of terms from the sum of those terms, and justify convergence with a test whose conditions you have checked.
- AP Calculus BC · Lesson 2Integration techniques and improper integralsChoose an integration method from the form of the integrand, and treat an infinite bound as a limit.
- AP Calculus BC · Lesson 3Applications and differential equationsConnect derivatives and integrals to motion, accumulation, and models whose rate depends on the quantity itself.
- AP Calculus BC · Lesson 4Parametric and polar reasoningTreat x and y as functions of another variable, and compute slopes or areas without forcing y to be a function of x.
AP Precalculus
4 lessons- AP Precalculus · Lesson 1Polynomial and rational functionsConnect factors to zeros, excluded inputs, holes, and end behavior.
- AP Precalculus · Lesson 2Exponential and logarithmic functionsRead an initial amount and a growth factor, and use logarithms to solve for an exponent.
- AP Precalculus · Lesson 3Trigonometric and polar functionsDescribe amplitude, midline, and period, and interpret polar coordinates as distance and angle.
- AP Precalculus · Lesson 4Parametric functions, vectors, and matricesDescribe motion with a parameter, combine vectors by components, and use matrices to represent linear relationships.