Berlin Abitur Math LK study plan

Set up a formula and method sheet for Analysis and write down every derivative, integral, and limit rule you must know without help

Differentiate and integrate polynomial, exponential, logarithmic, sine, and cosine functions in 40 mixed exercises, checking each result by differentiating back

Master the chain, product, and quotient rules by solving 15 composite problems and explaining each step aloud

Practise substitution and partial integration until you can choose the right method within 30 seconds of reading a problem

Analyse rational and exponential functions completely: domain, symmetry, zeros, asymptotes, extrema, and inflection points

Sketch five full curves from their equations and justify every feature with a calculation

Solve applied optimisation and reconstruction problems, including a volume-maximisation and a tangent-line task

Interpret the graph of a derivative function and reconstruct the original function qualitatively

Compute definite integrals and areas between curves, including split intervals where curves cross

Apply the fundamental theorem and handle improper integrals with a limit at a boundary

Model real situations with exponential growth and decay, including doubling time and half-life questions

Solve three Abitur-style Analysis tasks under timed conditions and mark them with the official point scheme

Perform vector operations confidently: addition, scalar multiplication, dot product, cross product, and magnitude

Determine positions of points, lines, and planes and convert between parameter, normal, and coordinate forms

Solve intersection problems between lines and planes and classify the three possible outcomes

Compute distances from a point to a line and to a plane using both projection and the cross-product method

Set up and solve systems of linear equations using Gaussian elimination and interpret the solution set geometrically

Investigate matrices for invertibility and compute inverses where they exist

Apply matrices to geometric mappings such as rotation, reflection, and scaling in the plane

Solve a full three-part Abitur geometry task with a real-world context such as a roof or a pyramid

Model random experiments with tree diagrams and compute probabilities using the multiplication and addition rules

Work fluently with the binomial distribution: recognise its conditions and compute probabilities with the formula and the cumulative table

Calculate expected value, variance, and standard deviation for discrete distributions and interpret the results

Solve inverse binomial problems that ask for the required number of trials or the threshold probability

Carry out one- and two-sided hypothesis tests for a proportion, including choosing the null hypothesis and stating the rejection region

Compute and interpret the errors of the first and second kind and explain the effect of changing the sample size

Build confidence intervals for a proportion and interpret their width

Revisit the Analysis topics that caused the most errors in week 3 and redo those tasks from scratch

Complete three full mock exams under strict timing, one per domain focus, using only permitted aids

Mark every mock against the official point scheme and record the score per task type

Drill your weakest two task types until you reach at least 80 percent of the points in a fresh task

Write a final one-page exam strategy sheet covering time allocation, order of tasks, and check routines