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Grundschule, Gymnasium, Oberstufe and Abitur / Oberstufe Klasse 12

Mathematics

Mathematics Klasse 12: detailed curriculum by unit, chapters, skills, practice, and verification sources.

How it works

Keep each unit in GR/DE: concept, German term, example, exercise, recap.

Back to year

Status

Thüringen-aligned draft - verify against the latest Schulportal PDF

Mathematics Klasse 12: detailed curriculum by unit, chapters, skills, practice, and verification sources.

Grundschule, Gymnasium, Oberstufe and AbiturKlasse 12Mathematics

Detailed curriculum

The syllabus is split into units, chapters, and small subtopics so students can see what is covered and what remains.

Unit 1Curriculum4 chapters+

1. Analysis

8 points
Integralrechnung
Area and accumulation
Exponential functions
Logarithmic functions
Trigonometric functions
Differential equations in school scope
Optimisation
Modelling
Theory, examples, and practice

2. Analytische Geometrie / Lineare Algebra

7 points
Geraden in 3D
Ebenen
Lagebeziehungen
Abstände
Winkel
Scalar product
Geometric modelling
Theory, examples, and practice

3. Stochastik

6 points
Binomial distribution
Normal distribution in school scope
Expected value
Standard deviation
Hypothesis testing
Decision rules
Theory, examples, and practice

4. Abitur preparation

6 points
Analysis problems
Geometry problems
Stochastics problems
Parameter tasks
Proof/explanation tasks
Time management
Theory, examples, and practice

What you must know

These skills are the practical checklist before a test, lesson request, or tutor session.

1Analysis
2Analytische Geometrie / Lineare Algebra

Recommended practice

Common mistakes
Worked examples
Homework and practice
Related daily material

NEXT STEP

Find a tutorOpen tutors matched to this subject and continue with a profile or message.Post a lesson requestDescribe the year, chapter, and goal so the right tutors can respond.Daily materialOpen daily explainers, exercises, and practical posts without mixing them with study guides.

Sources and verification

Thüringen-aligned draft. Before being labelled fully official, verify against the latest Thüringer Schulportal PDF.

Last reviewed: 2026-05-15

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