Schleswig-Holstein Abitur Math study plan

Reproduce the Abitur-relevant rules for differentiation (product, quotient, chain, exponential, ln) from memory on a blank sheet and correct gaps with a formula reference.

Compute tangent equations, normal lines, and points of horizontal tangency for polynomial and e^x-based functions without notes.

Set up and solve curve-discussion tasks for a full rational or e-function (domain, symmetry, zeros, extrema via sign change of f', inflection via f'').

Sketch a function graph from its derivative sign pattern and justify each feature in one sentence.

Apply the fundamental theorem of calculus and the substitution rule to compute definite integrals of polynomial, exponential, and simple trigonometric integrands.

Interpret integrals as signed areas and compute areas between two curves, including splitting at intersection points.

Model an applied extremal problem (volume, area, cost) by building the objective function, stating the constraint, and verifying the extremum with the second derivative.

Solve a real-world rate-of-change problem where the integral of a rate gives a total quantity.

Perform vector operations (addition, scalar multiplication, dot product, cross product, magnitude) accurately on given coordinates.

Determine equations of lines and planes in parameter, normal, and coordinate form, and convert between forms.

Compute distances between points, lines, and planes and find intersection points of lines and planes.

Classify the relative position of two lines or a line and a plane (parallel, skew, intersecting) using the resulting system of equations.

Set up and solve geometric application problems involving pyramids, prisms, and tetrahedra embedded in a coordinate system.

Use the cross product to compute areas of triangles and parallelograms and volumes of parallelepipeds.

Determine angles between lines, between a line and a plane, and between planes using dot products and normals.

Apply orthogonal projection to find the foot of a perpendicular and the shortest distance from a point to a plane.

Distinguish and compute probabilities for binomial, hypergeometric, and normal-approximation settings, stating which model applies and why.

Use tree diagrams and conditional probability to compute P(A|B) and check independence.

Compute expected value, variance, and standard deviation of a random variable and interpret them in context.

Solve inverse binomial problems (finding the smallest n or p for a given probability) using tables or systematic trial.

Combine analysis and stochastics: use integrals to compute probabilities for continuous distributions and expected values from density functions.

Interpret a normal distribution problem in an Abitur context (quality control, measurement error) and justify the standardization step.

Solve a hypothesis-testing problem: state H0 and H1, choose the significance level, compute the critical region, and interpret the error types.

Review the analysis topics most likely to be combined with stochastics (exponential functions, area under curves).

Complete a full-length Abitur-style mock exam under official timing (typically 4-5 hours for the chosen set) without notes.

Identify the three weakest sub-topics from the mock and list the exact error type for each.

Re-solve every missed problem from the mock correctly, writing the corrected reasoning in full.

Practice the Wahlteil (elective part) format: choosing between analysis and geometry options and managing time.

Drill the highest-frequency Abitur task types across all three domains in short 20-minute bursts to build speed.

Memorize and rehearse the formula sheet and calculator routines allowed in the exam.

Re-test the weakest sub-topics identified in week 7 and confirm improvement.

Simulate exam-day logistics: materials, time allocation per task, and a strategy for partial credit on unfamiliar tasks.