Germany — Maths

KMK Bildungsstandards (Gymnasium)

Germany's Länder follow the KMK Bildungsstandards. Content leitideen (leading ideas) are Number, Measurement, Space & Shape, Functional Relationships, and Data & Chance. Grundschule covers Klasse 1–4; Sekundarstufe I Klasse 5–10; the gymnasiale Oberstufe Klasse 11–13 (Abitur) adds analysis, analytic geometry and stochastics.

14 topics — click any topic for a full virtual lesson with worked examples.

✓ Verified against the official syllabus. KMK Bildungsstandards Mathematik (Leitideen: Zahl, Messen, Raum & Form, Funktionaler Zusammenhang, Daten & Zufall). Gymnasium Klasse 1–13.

Klasse 1 · Klasse 2 · Klasse 3 · Klasse 4

Klasse 1–4 (Grundschule)

Numbers to a million, the four operations, geometry, measurement and simple data.

Klasse 5 · Klasse 6 · Klasse 7

Klasse 5–7

Fractions & decimals, integers, proportionality, percentages, angles & areas, intro to terms.

Klasse 8 · Klasse 9 · Klasse 10

Klasse 8–10

Linear & quadratic functions, equations & systems, Pythagoras, trigonometry, bodies, probability.

Klasse 11 · Klasse 12 · Klasse 13

Klasse 11–13 (Oberstufe / Abitur)

Analysis (calculus), analytic geometry (vectors), and stochastics for the Abitur.

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