IB AI HL Revision Cards

Build confidence with 114 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.

Search card titles, sections and categories. Try exponential functions or differentiation

114 cards · 114 available

Prerequisites31 available · 17 coming soon

Algebra prerequisites · Notation and simplifying

4 cards
Simplifying by collecting like termsPrerequisiteOpen Card
Multiplying algebraic termsPrerequisiteOpen Card
Dividing algebraic termsPrerequisiteOpen Card

Algebra prerequisites · Expanding expressions

2 cards
Expanding two bracketsUsing arrowsPrerequisiteOpen Card

Algebra prerequisites · Factorising expressions

4 cards
Factorising a common factorPrerequisiteOpen Card
Factorising quadraticsIn the form PrerequisiteOpen Card
Difference of two squaresPrerequisiteOpen Card
Factorising quadraticsIn the form PrerequisiteOpen Card

Algebra prerequisites · Index laws

2 cards

Equation prerequisites · Linear equations and inequalities

4 cards
Solving equationsWith fractionsPrerequisiteOpen Card
Solving equationsWith unknowns on both sidesPrerequisiteOpen Card
Solving equationsWith several bracketsPrerequisiteOpen Card
Solving linear inequalitiesPrerequisiteOpen Card

Equation prerequisites · Inequalities

2 cards
Solving compound inequalitiesWith unknowns in all three partsPrerequisiteOpen Card

Algebra prerequisites · Rearranging formulas

2 cards
Rearranging a formulaone occurrencePrerequisiteOpen Card
Rearranging a formularepeated occurrencesPrerequisiteOpen Card

Equation prerequisites · Simultaneous equations

2 cards
Solving simultaneous equationsby eliminationPrerequisiteOpen Card
Solving simultaneous equationsby substitutionPrerequisiteOpen Card

Function prerequisites · Quadratic equations

2 cards
Solving quadratics by factorisingPrerequisiteOpen Card

Geometry prerequisites · Right-angled trigonometry

1 card
Choosing sine, cosine or tangentPrerequisiteOpen Card

Geometry prerequisites · Pythagoras’ theorem

3 cards
Pythagoras - finding the hypotenusePrerequisiteOpen Card
Pythagoras - finding a shorter sidePrerequisiteOpen Card
Repeated use of PythagorasPrerequisiteOpen Card

Algebra prerequisites · Surds and fractional indices

3 cards
Fractional indices and rootsPrerequisiteOpen Card
Evaluating fractional powersPrerequisiteOpen Card
Simplifying square rootsPrerequisiteOpen Card
Calculus34 available · 58 coming soon

Rates of change

2 cards
Average rate of change from a formulaCourse skillOpen Card
Average rate of change from a tableCourse skillOpen Card

Differentiation

20 cards
Differentiating polynomialsCourse skillOpen Card
Differentiating negative powersCourse skillOpen Card
Differentiating fractional powersCourse skillOpen Card
Differentiating exponentialsCourse skillOpen Card
Differentiating natural logarithmsCourse skillOpen Card
The chain rule - notationCourse skillOpen Card
The chain rule - notationCourse skillOpen Card
The product rule - notationCourse skillOpen Card
The product rule - notationCourse skillOpen Card
The quotient rule - notationCourse skillOpen Card
The quotient rule - notationCourse skillOpen Card
Finding stationary pointsCourse skillOpen Card
Classifying stationary pointsCourse skillOpen Card

Definite integrals

4 cards
Signed area and definite integralsCourse skillOpen Card
Area above the horizontal axisCourse skillOpen Card
Area below the horizontal axisCourse skillOpen Card
Area on both sides of the axisCourse skillOpen Card

Further derivatives and integrals

8 cards
The integration power ruleCourse skillOpen Card
Integrating exponentialsCourse skillOpen Card
Integrating reciprocals and logarithmsCourse skillOpen Card
Finding the constant of integrationCourse skillOpen Card
Functions35 available · 49 coming soon

Linear functions

4 cards
Equation of a line from a point and gradientCourse skillOpen Card
Equations of parallel linesCourse skillOpen Card
Equations of perpendicular linesCourse skillOpen Card
Intercepts of a linear functionCourse skillOpen Card

Quadratic functions

3 cards
Vertex of a quadraticFrom completed-square formCourse skillOpen Card
Axis of symmetry of a quadraticCourse skillOpen Card
Constructing a quadratic from zeros and a pointCourse skillOpen Card

Function notation and representations

4 cards
Evaluating function notationCourse skillOpen Card
Substituting an expression into a functionCourse skillOpen Card
Reading a function tableCourse skillOpen Card
Reading a function value from a graphCourse skillOpen Card

Exponential prerequisites

3 cards
Evaluating exponential functionsCourse skillOpen Card
Reading exponential growth and decayCourse skillOpen Card
Constructing an exponential modelCourse skillOpen Card

Exponential foundations

1 card
Comparing two exponential modelsCourse skillOpen Card

Coordinate geometry

1 card
Gradient between two pointsCourse skillOpen Card

Piecewise functions

2 cards
Evaluating piecewise functionsCourse skillOpen Card
Constructing a piecewise modelCourse skillOpen Card

Transformations of functions

5 cards
Transformations of - words to notationAI HLOpen Card
Transformations of - notation to graphsAI HLOpen Card

Graphing given functions with technology

1 card
Graphing a given reciprocal functionUsing a graphing calculatorAI HLOpen Card

Transformations - notation, order and moving graphs

11 cards
Factorise the input before reading a transformationAI HLOpen Card
Horizontal combinations from function notationAI HLOpen Card
Vertical combinations from function notationAI HLOpen Card
Combined horizontal and vertical transformationsAI HLOpen Card
Horizontal stretch and translation - order mattersAI HLOpen Card
Reflection in the -axis and translation - order mattersAI HLOpen Card
Vertical stretch and translation - order mattersAI HLOpen Card
Reflection in the -axis and translation - order mattersAI HLOpen Card
Ordered words to a function and a sketchAI HLOpen Card
The same function using different transformation ordersAI HLOpen Card
From corresponding points to function notationAI HLOpen Card
Geometry and trigonometry9 available · 73 coming soon

Coordinate geometry

2 cards
Midpoint of a line segmentCourse skillOpen Card
Distance between two pointsCourse skillOpen Card

Right-angled trigonometry

6 cards
Finding a side using trigonometryAI HLOpen Card
Finding an angle using inverse trigonometryAI HLOpen Card
Finding a length with the sine ratioAI HLOpen Card
Finding a length with the cosine ratioAI HLOpen Card
Finding a length with the tangent ratioAI HLOpen Card
Repeated use of right-angled trigonometryAI HLOpen Card

Right-triangle trigonometry

1 card
Modelling an angle of elevationCourse skillOpen Card
Number and algebra5 available · 92 coming soon

Complex arithmetic

4 cards
Powers of Using a graphing calculatorCourse skillOpen Card
Adding and subtracting complex numbersCourse skillOpen Card
Multiplying complex numbersCourse skillOpen Card
Dividing complex numbers using a conjugateCourse skillOpen Card

Simultaneous equations

1 card
Three simultaneous equationsUsing a graphing calculatorCourse skillOpen Card