Functions
Quadratics, transformations and exponential models.
- Quadratic form and vertices
- Domain, range and asymptotes
- Composite and inverse functions
- Exponential and logarithmic models
- Calculator versus non-calculator method marks
Practice betaThis is unofficial practice, not certified exam-board material.
MATH AA SL · Learning hub
Mathematics AA: Standard Level
About this subject
Build algebraic reasoning, functions and calculus technique with fully worked marking points. Selected topics only, not full syllabus coverage.
Topics & subtopics
Calculus
Differentiation, stationary points and definite integration.
- Differentiation from first principles
- Tangents, normals and rates of change
- Stationary points and optimisation
- Integration as area and antiderivative
- Kinematics with calculus
Statistics and probability
Expected value, binomial models and interpretation.
- Descriptive statistics
- Probability rules and tree diagrams
- Binomial probability
- Normal distribution
- Correlation and regression
Number and algebra
Sequences, series, the binomial theorem and exponent laws.
- Sequences and series
- Exponents, logarithms and surds
- Algebraic manipulation
- Proof and reasoning
- Equations and inequalities
Geometry and trigonometry
The unit circle, trig identities and equations, non-right-angled triangles, and vectors in two and three dimensions.
- Trigonometric ratios and identities
- Radians, arcs and sectors
- Sine and cosine rules
- Vectors and geometric reasoning
- Transformations and coordinate geometry
Structured progression
Revision Ladder
Start with foundations, then move through application and challenge. Stages use activity marks and complexity.
Stage 1
Start stage Foundation
Recall core ideas and establish reliable methods.
30 questions available0/30 completedStage 2
Start stage Apply
Connect concepts and apply them in exam-style contexts.
52 questions available0/52 completedStage 3
Start stage Challenge
Tackle advanced reasoning and multi-step questions.
10 questions available0/10 completedProgress dashboard
Topic practice
Recommended next: Functions
01
Functions
Not startedQuadratics, transformations and exponential models.
0%0/32 complete
02Calculus
Not startedDifferentiation, stationary points and definite integration.
0%0/40 complete
03Statistics and probability
Not startedExpected value, binomial models and interpretation.
0%0/40 complete
04Number and algebra
Not startedSequences, series, the binomial theorem and exponent laws.
0%0/32 complete
05Geometry and trigonometry
Not startedThe unit circle, trig identities and equations, non-right-angled triangles, and vectors in two and three dimensions.
0%0/40 complete
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This is unofficial practice under accuracy, provenance, and rights review. Use the latest official subject guide to confirm syllabus coverage and examination requirements.