IB AA HL Revision Cards

Build confidence with 136 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 the product rule or binomial expansion

136 cards · 136 available

Prerequisites34 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 · Completing the square

2 cards
Completing the squareIn the form PrerequisiteOpen Card
Completing the squareIn the form PrerequisiteOpen Card

Algebra prerequisites · Surds and fractional indices

4 cards
Fractional indices and rootsPrerequisiteOpen Card
Evaluating fractional powersPrerequisiteOpen Card
Simplifying square rootsPrerequisiteOpen Card
Adding and subtracting surdsPrerequisiteOpen Card
Calculus40 available · 61 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

Antiderivatives

12 cards
The integration power ruleCourse skillOpen Card
Integrating negative powersCourse skillOpen Card
Integrating fractional powersCourse skillOpen Card
Integrating exponentialsCourse skillOpen Card
Integrating reciprocals and logarithmsCourse skillOpen Card
Finding the constant of integrationCourse skillOpen Card
Integration using a given derivativeCourse skillOpen Card
Evaluating definite integralsCourse skillOpen Card

Advanced integration

2 cards
Volume of revolution about the -axisCourse skillOpen Card
Volume of revolution about the -axisCourse skillOpen Card
Functions45 available · 59 coming soon

Recognising polynomial structure

2 cards
Recognising a polynomial functionAA HLOpen Card
Writing a polynomial in standard formAA HLOpen Card

Zeros and factors

2 cards
Finding real zeros by factorisingAA HLOpen Card
Multiplicity of a polynomial rootCourse skillOpen Card

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

Quadratic equations

2 cards
Solving quadratics by completing the squareCourse skillOpen Card
Classifying quadratic roots with the discriminantCourse skillOpen Card

Division and theorems

3 cards
Polynomial long division by or Course skillOpen Card
Using the factor theoremCourse skillOpen Card
Using the remainder theoremCourse skillOpen Card

Symmetry

1 card
Is a function odd, even or neither?Course skillOpen Card

Piecewise functions

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

Transformations of functions

6 cards
Transformations of - words to notationAA HLOpen Card
Transformations of - notation to graphsAA HLOpen Card

Transformations - notation, order and moving graphs

11 cards
Factorise the input before reading a transformationAA HLOpen Card
Horizontal combinations from function notationAA HLOpen Card
Vertical combinations from function notationAA HLOpen Card
Combined horizontal and vertical transformationsAA HLOpen Card
Horizontal stretch and translation - order mattersAA HLOpen Card
Reflection in the -axis and translation - order mattersAA HLOpen Card
Vertical stretch and translation - order mattersAA HLOpen Card
Reflection in the -axis and translation - order mattersAA HLOpen Card
Ordered words to a function and a sketchAA HLOpen Card
The same function using different transformation ordersAA HLOpen Card
From corresponding points to function notationAA HLOpen Card
Geometry and trigonometry9 available · 78 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 trigonometryAA HLOpen Card
Finding an angle using inverse trigonometryAA HLOpen Card
Finding a length with the sine ratioAA HLOpen Card
Finding a length with the cosine ratioAA HLOpen Card
Finding a length with the tangent ratioAA HLOpen Card
Repeated use of right-angled trigonometryAA HLOpen Card

Right-triangle trigonometry

1 card
Modelling an angle of elevationCourse skillOpen Card
Number and algebra8 available · 88 coming soon

Complex arithmetic

4 cards
Adding and subtracting complex numbersCourse skillOpen Card
Multiplying complex numbersCourse skillOpen Card
Dividing complex numbers using a conjugateCourse skillOpen Card

Binomial expansion

3 cards
Positive-integer binomial expansionCourse skillOpen Card
Binomial coefficients and specified termsCourse skillOpen Card
Generalised binomial expansionCourse skillOpen Card

Simultaneous equations

1 card
Solving simultaneous equationswith three unknownsCourse skillOpen Card