Saxony Abitur Mathematics study plan

Reproduce the full curve-discussion routine (domain, symmetry, zeros, extrema, inflection points, asymptotes) for polynomial, exponential and rational families without notes

Differentiate composite, product, quotient and inverse-trigonometric expressions fluently, including chain-rule chains of depth three

Set up and solve applied extremal problems (optimisation with side conditions) and justify why a critical point is global on the given interval

Write a short self-test of ten differentiation and curve tasks and score it against a rubric you define yourself

Compute definite and indefinite integrals using substitution, partial fractions and integration by parts, choosing the method deliberately

Interpret the definite integral as a signed area and compute areas between curves, including split intervals where curves cross

Apply the fundamental theorem correctly when the upper limit is a function of x

Model a real accumulation problem (volume of revolution or average value) and state units and assumptions explicitly

Analyse exponential growth and decay models, including parameter interpretation, doubling/half-life and long-run behaviour

Solve 'determine the parameter from data' tasks and discuss sensitivity of the result to measurement error

Translate a verbal real-world scenario into a function model, then critique the model's limitations in writing

Sketch a graph from a derivative's sign chart and reconcile the sketch with the algebraic result

Perform vector operations in 2D and 3D (addition, scalar multiplication, dot product, cross product) and interpret each geometrically

Determine line equations in parameter form and convert between parameter, normal and coordinate forms for planes

Solve incidence problems: line-line, line-plane and plane-plane, classifying as intersecting, parallel or skew with justification

Compute distances (point-plane, point-line, skew lines) using the standard projection and cross-product formulas

Carry out matrix operations, compute determinants and inverses, and solve linear systems with Gaussian elimination

Interpret the determinant as area/volume scaling and connect singularity to non-unique solutions

Use matrices to describe geometric mappings (rotation, reflection, scaling) and identify fixed points and invariant lines

Set up and solve one application problem (network, equilibrium or transformation composition) end to end

Apply combinatorics (permutations, combinations, with and without replacement) to count outcomes correctly in multi-stage experiments

Compute conditional probabilities and test independence using tree diagrams and contingency tables

Model binomial experiments, compute probabilities and cumulative probabilities, and state the conditions that justify the binomial model

Distinguish discrete from continuous random variables and compute expectation and standard deviation for both

Work with the normal distribution, including standardisation, inverse problems and normal approximation to the binomial with continuity correction

Design and interpret a hypothesis test: state hypotheses, choose a one- or two-tailed test, compute the p-value or critical region, and phrase the conclusion in context

Identify and explain common statistical fallacies (confusing conditional directions, small samples, biased sampling) in short written critiques

Justify model choice in writing, naming assumptions and what would falsify the model

Complete two full timed mock papers under exam conditions and self-mark against the official weighting (40/30/20/10)

Rank your error types across both mocks and eliminate the two most frequent within the week

Rehearse written communication: define variables, show intermediate steps, and give a concluding sentence for every modelling task

Build a personal one-page 'exam entry sheet' of formulas and standard argument templates you can recall from memory