IB AA SL Revision Cards
Build confidence with 109 revision cards, each breaking a skill into clear steps. Study the worked examples, try five questions, then check your answers.
Explore the available skills. More topics are being added.
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109 cards · 109 available
Prerequisites34 available · 17 coming soon
Algebra prerequisites · Notation and simplifying
4 cards
Algebra prerequisites · Expanding expressions
2 cards
Algebra prerequisites · Factorising expressions
4 cards
Algebra prerequisites · Index laws
2 cards
Equation prerequisites · Linear equations and inequalities
4 cards
Equation prerequisites · Inequalities
2 cards
Algebra prerequisites · Rearranging formulas
2 cards
Equation prerequisites · Simultaneous equations
2 cards
Function prerequisites · Quadratic equations
2 cards
Geometry prerequisites · Right-angled trigonometry
1 card
Geometry prerequisites · Pythagoras’ theorem
3 cards
Algebra prerequisites · Completing the square
2 cards
Algebra prerequisites · Surds and fractional indices
4 cards
Number prerequisites
0 cards
Calculating with signed numbersComing soon
Converting fractions, decimals and percentagesComing soon
Using a percentage multiplierComing soon
Simplifying a numerical fractionComing soon
Substituting into a formula with unitsComing soon
Converting between metric unitsComing soon
Using exact values in intermediate workingComing soon
Algebra prerequisites
0 cards
Solving equations by taking square rootsComing soon
Simplifying an algebraic fraction by cancelling factorsComing soon
Finding excluded values in a denominatorComing soon
Expanding a squared bracketComing soon
Solving a proportion by cross-multiplicationComing soon
Graph and data prerequisites
0 cards
Plotting coordinates in four quadrantsComing soon
Reading a graph scaleComing soon
Reading a frequency tableComing soon
Reading a two-way tableComing soon
Reading union and intersection notationComing soon
Calculus38 available · 35 coming soon
Rates of change
2 cards
Differentiation
20 cards
Derivatives and local behaviour
0 cards
Interpreting a derivative as a local rateComing soon
Estimating a derivative from a graphComing soon
Finding intervals where a function increasesComing soon
Finding intervals where a function decreasesComing soon
Finding when a gradient has a specified valueComing soon
Classifying stationary points using a sign changeComing soon
Finding the largest value on a closed intervalComing soon
Finding the smallest value on a closed intervalComing soon
Optimisation
0 cards
Forming an objective function from a diagramComing soon
Eliminating a variable using a constraintComing soon
Finding a maximum areaComing soon
Finding a minimum surface areaComing soon
Optimising a volumeComing soon
Interpreting a stationary point in a modelComing soon
Checking endpoints and the valid domainComing soon
Definite integrals
4 cards
Evaluating a definite integral with technologyComing soon
Finding an unknown limit with technologyComing soon
Derivative methods
0 cards
Finding a derivative from first principlesComing soon
Differentiating a sum before substitutionComing soon
Using the chain rule with a linear inner functionComing soon
Combining the product and chain rulesComing soon
Combining the quotient and chain rulesComing soon
Simplifying an expression before differentiatingComing soon
Curvature and curve sketching
0 cards
Identifying concavity using a second derivativeComing soon
Finding a point of inflectionComing soon
Sketching a derivative from a curveComing soon
Connecting a function and its first two derivativesComing soon
Antiderivatives
12 cards
Integrating with a linear substitutionComing soon
Kinematics
0 cards
Finding velocity from a position functionComing soon
Finding acceleration from a velocity functionComing soon
Finding position from velocity and an initial conditionComing soon
Finding velocity from acceleration and an initial conditionComing soon
Finding times when a particle is at restComing soon
Finding displacement by integrationComing soon
Finding total distance by splitting at turning timesComing soon
Functions26 available · 46 coming soon
Linear functions
4 cards
Quadratic functions
3 cards
Function notation and representations
4 cards
Exponential prerequisites
3 cards
Exponential foundations
1 card
Coordinate geometry
1 card
Quadratic equations
2 cards
Functions and representations
0 cards
Distinguishing a function from a relationComing soon
Reading a function's domain from a graphComing soon
Reading a function's range from a graphComing soon
Finding a zero from a graphComing soon
Finding an intercept from a tableComing soon
Locating a local maximum with technologyComing soon
Locating a local minimum with technologyComing soon
Solving an equation using an intersectionComing soon
Choosing a graphing windowComing soon
Using a table to locate an intersectionComing soon
Linear and quadratic models
0 cards
Finding a line through two pointsComing soon
Interpreting a linear model's gradientComing soon
Interpreting a linear model's interceptComing soon
Finding a quadratic model from three pointsComing soon
Finding roots of a quadratic with technologyComing soon
Interpreting a quadratic vertex in contextComing soon
Restricting the domain of a modelComing soon
Distinguishing interpolation and extrapolationComing soon
Assessing the reasonableness of a predictionComing soon
Quadratics and discriminants
0 cards
Converting a quadratic to completed-square formComing soon
Converting a quadratic to factorised formComing soon
Solving a quadratic inequality from its rootsComing soon
Finding a parameter for a repeated rootComing soon
Finding a parameter for two real rootsComing soon
Finding a parameter for no real rootsComing soon
Using the discriminant in a line-curve intersectionComing soon
Composite and inverse functions
0 cards
Evaluating a composite functionComing soon
Finding a composite function algebraicallyComing soon
Finding the domain of a composite functionComing soon
Finding an inverse of a linear functionComing soon
Finding an inverse of a rational functionComing soon
Restricting a quadratic to have an inverseComing soon
Finding an inverse of a restricted quadraticComing soon
Relating an inverse's domain and rangeComing soon
Sketching an inverse by reflectionComing soon
Rational and exponential graphs
0 cards
Sketching a reciprocal functionComing soon
Finding a vertical asymptoteComing soon
Finding a horizontal asymptote of a linear-over-linear functionComing soon
Finding intercepts of a rational functionComing soon
Sketching a translated rational functionComing soon
Sketching an exponential growth functionComing soon
Sketching an exponential decay functionComing soon
Sketching a logarithmic functionComing soon
Solving an exponential equation algebraicallyComing soon
Relating logarithms and exponentials as inversesComing soon
Transformations
0 cards
Describing a transformed function from its graphComing soon
Transformations of functions
5 cards
Geometry and trigonometry9 available · 45 coming soon
Coordinate geometry
2 cards
Right-angled trigonometry
6 cards
Right-triangle trigonometry
1 card
Measurement and three-dimensional geometry
0 cards
Finding a distance between points in three dimensionsComing soon
Finding a midpoint in three dimensionsComing soon
Finding a volume of a prismComing soon
Finding a volume of a pyramidComing soon
Finding a volume of a coneComing soon
Finding a volume of a sphereComing soon
Finding surface area from a formulaComing soon
Finding a length in a three-dimensional diagramComing soon
Drawing a labelled diagram from a descriptionComing soon
Non-right-angled triangles
0 cards
Finding a side using the sine ruleComing soon
Finding an angle using the sine ruleComing soon
Finding a side using the cosine ruleComing soon
Finding an angle using the cosine ruleComing soon
Finding a triangle's area using an included angleComing soon
Choosing a suitable triangle ruleComing soon
Solving a problem with an angle of depressionComing soon
Solving a problem with bearingsComing soon
Radians and circles
0 cards
Converting between degrees and radiansComing soon
Finding arc length in radiansComing soon
Finding sector area in radiansComing soon
Finding an angle from sector areaComing soon
Finding the area of a segmentComing soon
Trigonometric values and identities
0 cards
Defining sine and cosine on the unit circleComing soon
Determining the sign of a trigonometric ratioComing soon
Finding exact sine valuesComing soon
Finding exact cosine valuesComing soon
Finding exact tangent valuesComing soon
Finding both angles in an ambiguous sine-rule problemComing soon
Using the Pythagorean trigonometric identityComing soon
Using the tangent identityComing soon
Using the sine double-angle formulaComing soon
Choosing a cosine double-angle formulaComing soon
Proving a trigonometric identityComing soon
Trigonometric graphs and equations
0 cards
Sketching a sine functionComing soon
Sketching a cosine functionComing soon
Sketching a tangent functionComing soon
Finding amplitude and periodComing soon
Finding a phase shiftComing soon
Fitting a sinusoidal model to a graphComing soon
Solving a sine equation on a given intervalComing soon
Solving a cosine equation on a given intervalComing soon
Solving a tangent equation on a given intervalComing soon
Solving an equation with a multiple angleComing soon
Solving an equation with a phase shiftComing soon
Solving a quadratic in a trigonometric functionComing soon
Mathematical exploration0 available · 9 coming soon
Mathematical exploration
0 cards
Choosing a focused mathematical questionComing soon
Defining variables and unitsComing soon
Stating assumptions in a modelComing soon
Selecting useful data for an investigationComing soon
Explaining a mathematical method in wordsComing soon
Checking a result with another representationComing soon
Interpreting a result in its contextComing soon
Evaluating a model's limitationsComing soon
Explaining a possible refinementComing soon
Number and algebra2 available · 53 coming soon
Binomial expansion
2 cards
Using factorial notationComing soon
Finding a constant term in a binomial expansionComing soon
Finding a coefficient after multiplying expansionsComing soon
Finding an unknown coefficient using a binomial expansionComing soon
Standard form and numerical notation
0 cards
Writing a large number in standard formComing soon
Writing a small number in standard formComing soon
Converting standard form to an ordinary numberComing soon
Calculating with standard formComing soon
Interpreting a calculator's exponent displayComing soon
Arithmetic sequences and series
0 cards
Finding a common differenceComing soon
Finding an arithmetic th termComing soon
Finding the position of an arithmetic termComing soon
Finding missing arithmetic termsComing soon
Finding the sum of an arithmetic seriesComing soon
Finding the number of terms from an arithmetic sumComing soon
Solving an arithmetic sequence problem in contextComing soon
Geometric sequences and series
0 cards
Finding a common ratioComing soon
Finding a geometric th termComing soon
Finding the position of a geometric termComing soon
Finding missing geometric termsComing soon
Summing a finite geometric seriesComing soon
Writing a series in sigma notationComing soon
Evaluating a sum in sigma notationComing soon
Modelling repeated percentage changeComing soon
Financial mathematics
0 cards
Calculating compound interestComing soon
Converting a nominal annual rate to a periodic rateComing soon
Finding an initial investmentComing soon
Finding the time to reach an investment targetComing soon
Finding an interest rateComing soon
Modelling depreciationComing soon
Distinguishing simple interest and compound interestComing soon
Powers and logarithms
0 cards
Simplifying expressions with integer exponentsComing soon
Converting exponential notation to logarithmic notationComing soon
Converting logarithmic notation to exponential notationComing soon
Evaluating a logarithm with a calculatorComing soon
Solving an exponential equation with technologyComing soon
Algebraic proof
0 cards
Writing even and odd integers algebraicallyComing soon
Proving a divisibility statementComing soon
Proving a result about consecutive integersComing soon
Distinguishing equality and identityComing soon
Identifying a gap in an algebraic argumentComing soon
Fractional powers and logarithm laws
0 cards
Converting a root to a fractional powerComing soon
Simplifying expressions with fractional indicesComing soon
Using the logarithm product lawComing soon
Using the logarithm quotient lawComing soon
Using the logarithm power lawComing soon
Combining logarithms into one expressionComing soon
Using a change of logarithm baseComing soon
Solving a logarithmic equation and checking its domainComing soon
Infinite geometric series
0 cards
Testing convergence of a geometric seriesComing soon
Finding a sum to infinityComing soon
Finding a common ratio from a sum to infinityComing soon
Finding a parameter for convergenceComing soon
Statistics and probability0 available · 79 coming soon
Data collection
0 cards
Distinguishing a population and a sampleComing soon
Distinguishing discrete and continuous dataComing soon
Identifying a biased sampleComing soon
Selecting a simple random sampleComing soon
Selecting a systematic sampleComing soon
Allocating a stratified sampleComing soon
Comparing convenience and quota samplingComing soon
Explaining the effect of sample sizeComing soon
Identifying an unreliable data sourceComing soon
Displaying data
0 cards
Grouping data into class intervalsComing soon
Drawing a histogram with unequal class widthsComing soon
Finding frequency from a histogramComing soon
Drawing a cumulative-frequency graphComing soon
Reading a percentile from cumulative frequencyComing soon
Finding quartiles from cumulative frequencyComing soon
Drawing a box plot from summary valuesComing soon
Comparing two box plotsComing soon
Identifying an outlier using quartilesComing soon
Summarising data
0 cards
Calculating a mean from frequency dataComing soon
Calculating a median from frequency dataComing soon
Estimating a mean from grouped dataComing soon
Identifying a modal classComing soon
Finding an interquartile rangeComing soon
Calculating a standard deviation with technologyComing soon
Distinguishing sample and population standard deviationComing soon
Comparing location and spread in contextComing soon
Finding a combined meanComing soon
Correlation and regression
0 cards
Drawing and interpreting a scatter diagramComing soon
Calculating Pearson's correlation coefficientComing soon
Interpreting correlation strength and directionComing soon
Explaining why correlation does not imply causationComing soon
Finding a regression line with technologyComing soon
Predicting a value using a regression lineComing soon
Using the mean point on a regression lineComing soon
Explaining the risk of extrapolationComing soon
Probability rules and diagrams
0 cards
Calculating a probability from equally likely outcomesComing soon
Finding a complementary probabilityComing soon
Adding probabilities of mutually exclusive eventsComing soon
Using the general addition ruleComing soon
Completing a two-set Venn diagramComing soon
Finding a probability from a Venn diagramComing soon
Drawing a tree with replacementComing soon
Drawing a tree without replacementComing soon
Multiplying along a tree branchComing soon
Adding alternative branchesComing soon
Finding a conditional probability from a tableComing soon
Finding a conditional probability from a treeComing soon
Testing whether two events are independentComing soon
Discrete random variables
0 cards
Checking a probability distribution sums to oneComing soon
Finding a missing probability in a distributionComing soon
Finding a probability from a distribution tableComing soon
Calculating an expected valueComing soon
Finding a fair price from an expected valueComing soon
Binomial distribution
0 cards
Recognising a binomial situationComing soon
Stating binomial model parametersComing soon
Finding an exact binomial probabilityComing soon
Finding a cumulative binomial probabilityComing soon
Finding a binomial upper-tail probabilityComing soon
Finding a binomial interval probabilityComing soon
Finding an at-least-one probabilityComing soon
Calculating a binomial meanComing soon
Calculating a binomial variance and standard deviationComing soon
Finding an unknown binomial parameter with technologyComing soon
Normal distribution
0 cards
Reading normal distribution notationComing soon
Using symmetry of a normal curveComing soon
Finding a normal lower-tail probabilityComing soon
Finding a normal upper-tail probabilityComing soon
Finding a normal interval probabilityComing soon
Finding a normal percentileComing soon
Finding a symmetric central normal intervalComing soon
Finding an unknown normal meanComing soon
Finding an unknown normal standard deviationComing soon
Finding both normal parameters from two conditionsComing soon
Further SL probability and regression
0 cards
Finding a regression line of the explanatory variable on the responseComing soon
Choosing the correct regression lineComing soon
Applying the conditional probability formulaComing soon
Proving independence using a probability calculationComing soon
Standardising a normal variableComing soon
Finding a normal probability using a standardised valueComing soon
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