Stichwortverzeichnis (Index of Mathematical Concepts)

Overview

This is an alphabetically organized index of fundamental mathematics knowledge. The links direct to class-level overviews where users can access basic concepts or practice exercises with solutions.

Note: Due to curriculum changes for grades 11-12, see m11a.html and m12a.html.


Alphabetical Index

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

A

  • 4-Felder-Tafel (4-field table): grades 9/5, 9/K, 11/4
  • Ableitung (Derivative): grades 11/2, 11/3, 11/5, 11/6, 11/K, 12/2, 12/K, W/11
  • Ableitung der e-Funktion (Derivative of e-function): 11/7
  • Ableitung der ln-Funktion (Derivative of ln-function): 11/8
  • Abstand (Distance): 5/4
  • Abstand Ebene-Ebene (Plane-to-plane distance): 12/10
  • Abstand Gerade-Ebene (Line-to-plane distance): 12/9
  • Abstand paralleler Geraden (Distance between parallel lines): 12/8
  • Abstand Punkt-Ebene (Point-to-plane distance): 12/7, 12/K
  • Abstand Punkt-Gerade (Point-to-line distance): 12/5, 12/K
  • Abstand von Punkten (Distance between points): 9/8, 11/4
  • Achsenpunkt (Axis point): 12/9, 12/K
  • Achsensymmetrie (Axial symmetry): 7/4, 7/K, 10/5, 10/K, W/8, W/9, W/20, 11/1
  • Addition (Sum): 4/K, 5/2, ueb7/1
  • Addition von Bruchtermen (Addition of fractional terms): 8/6, 8/K
  • Additionssatz (Addition theorem - probability): 9/5, 9/K
  • Additionsverfahren (Addition method): 8/9, 8/K
  • Ähnlichkeit (Similarity): 9/6, 9/K
  • Allgemeines Dreieck (General triangle): 9/9
  • Allgemeingültige Gleichung (Identity): 7/7, 7/K, 9/10
  • Analytische Geometrie (Analytic geometry): 11/4, 11/K, 12/5-12/10, 12/K
  • Änderungsrate (Rate of change): 11/2
  • Ankathete (Adjacent side): 9/9, 9/K
  • Anzahl der Lösungen einer quadratischen Gleichung (Number of solutions to quadratic): 9/4, 9/K, ueb10/8, W/6
  • Arithmetisches Mittel (Arithmetic mean): 6/9, 7/1, ueb7/7, 7/8
  • Assoziativgesetz (Associative law): 5/6
  • Asymptote (Asymptote): 8/5, 8/K, ueb10/10, 11/1, 11/6, 11/k, W/8, W/9
  • Auflösen von Formeln (Solving formulas): 7/6, 7/K, 8/7
  • Aufstellen von Termen (Setting up terms): 7/1, 7/K
  • Ausklammern (Factoring out): 7/2, ueb7/K, ueb9/2, ueb9/4, 9/K, 10/5, 10/7, 10/10, W/18
  • Ausmultiplizieren von Klammern (Expanding brackets): 7/2, 7/K, W/18
  • Auswerten von Termen (Evaluating terms): 7/1, 7/K

B

  • Basis einer Potenz (Base of a power): 5/2, ueb7/1, 8/4, 9/7, W/17
  • Basiswinkel (Base angle): 7/10, 7/K
  • Baumdiagramm (Tree diagram): 5/7, 10/2, 10/K, 11/4
  • Bayes (Bayes’ theorem): 11/4
  • Bedingte Wahrscheinlichkeit (Conditional probability): 11/4
  • Bernoullikette (Bernoulli chain): 12/3, 12/K
  • Betrag (Absolute value): ueb5/1, ueb7/6, 9/1, W/3
  • Beurteilende Statistik (Inferential statistics): 12/4, 12/K, W/14
  • Binomialkoeffizient (Binomial coefficient): 12/3
  • Binomialverteilung (Binomial distribution): 12/3, 12/K
  • Binomische Formel (Binomial formula): 7/3, 7/K, 9/1, 9/K, W/1
  • Biquadratische Gleichung (Biquadratic equation): 9/10, 10/5
  • Bogenlänge (Arc length): 10/3
  • Bogenmaß (Radian measure): 10/3, 10/4, 10/K
  • Boxplot (Box plot): 7/8, 7/K, ueb7/U
  • Bruch (Fraction): 6/1, 6/4, 6/5, 6/K, 7/U
  • Bruch-Anteil von (Fraction part of): 6/2, 6/4
  • Bruch im Exponenten (Fraction as exponent): 9/1, 9/7, 9/K, 11/5, 11/K, W/17
  • Bruchfunktion (Rational function): 8/5, 8/K, 10/9, 10/10, 10/K, 11/1, 11/6, 11/K
  • Bruchgleichung (Fractional equation): 8/7, 8/K, 9/10, 9/K, 10/7, 10/K
  • Bruchterm (Fractional expression): 8/6, 8/K
  • Bruchungleichung (Fractional inequality): W/2, uebW/5

C

  • Cos (Cosine): 9/8, 9/K, 10/4, 10/K

D

  • Daten-Kenngrößen (Data characteristics): 7/8
  • Definitionsbereich (Domain): 8/5, 8/K, 9/1, 9/K, 11/1, 11/6, 11/k, W/8, W/9, 11/10
  • Definitionsmenge (Domain set): 8/6, 8/7, 8/K, 9/10
  • DEG (Degree mode): 10/3
  • Dezimalbruch, -zahl (Decimal fraction, decimal number): 6/3, 6/5, 6/K, 7/U
  • Diagonale (Diagonal): 9/8, 9/K
  • Diagramm (Diagram): 4/K, 5/5, 5/K, 6/9, 6/K, 7/8, 7/K, 7/U
  • Dichte (Density): ueb8/3
  • Differenz (Difference): 5/2, ueb7/1
  • Differenzieren (Differentiation): 11/2, 11/3, 11/5, 11/6, 11/K, 12/2, 12/K
  • Differenzieren der e-Funktion (Differentiating e-function): 11/7
  • Differenzieren der ln-Funktion (Differentiating ln-function): 11/8
  • Direkt proportional (Directly proportional): 8/3, 8/10, 8/K
  • Diskriminante (Discriminant): 9/4, 9/K, ueb10/8, W/6
  • Distributivgesetz (Distributive law): 5/6, 7/2
  • Division mit Rest bei Polynomen (Polynomial division with remainder): 10/10
  • Division (Quotient): 4/K, 5/2, ueb7/1
  • Division von Bruchtermen (Division of fractional terms): 8/6
  • Doppelbruch (Complex fraction): 6/1, 6/K, 8/6
  • Doppelkreuzung (Double intersection): 7/5, 7/K
  • Doppelte Lösung (Double root): 9/4, 10/6, 10/K
  • Drachenviereck (Kite quadrilateral): 5/4, 6/6, 7/3
  • Drehung (Rotation): ueb10/4
  • Dreieck (Triangle): 6/6, 6/K, 7/5, 7/10, 7/K, 7/U, 9/9, 11/4
  • Dreieckskonstruktion (Triangle construction): 7/9, 7/K
  • Dreieckstransversalen (Triangle transversals): 7/9, 7/K
  • Dreiecksungleichung (Triangle inequality): ueb7/9
  • Dreisatz (Rule of three): 5/9, 5/K, 6/8, 6/K, 8/3, W/19

E

  • Ebenengleichung (Plane equation): 12/6, 12/K
  • E-Funktion (Exponential function e^x): 11/7, 11/K
  • Einheiten (Units): 5/8, 5/9, 5/K, ueb6/5, 6/7, 7/U
  • Einheitskreis (Unit circle): 9/9, 10/4
  • Einsetzen in Terme (Substitution in terms): 7/1, 7/K
  • Einsetzverfahren (Substitution method): 8/9, 8/K
  • Elementarereignis (Elementary event): 8/8
  • Ereignis (Event): 8/8, 11/9
  • Ergebnis (Outcome): 8/8
  • Erhöhung um … % (Increase by %): 6/8, 6/K, 7/8, 7/K, ueb7/U
  • Erwartungswert (Expected value): 12/3, 12/K, W/15
  • Erweitern (Extending fractions): 6/1
  • E-Winkel (Corresponding angle): 7/5
  • Exponent einer Potenz (Exponent of a power): 5/2, 6/4, ueb6/5, 6/K, 7/1, 8/4, 9/1, 9/7, W/17
  • Exponentialfunktion (Exponential function): 10/1, 10/7, 10/K, 11/7, 11/K
  • Exponentialgleichung (Exponential equation): 10/1, 10/7, 10/K, 11/7
  • Extrema (Extrema): 11/3, ueb11/5, 11/6, 11/K, 12/2, W/8, W/9, W/11, 11/10
  • Extremwertaufgabe (Optimization problem): 9/5, 11/10, 11/K

F

  • Faktor eines Produkts (Factor of a product): 5/2, ueb7/1
  • Faktorisieren (Factoring): 7/2, 7/3, 7/K, 8/6, 8/7, 9/2, ueb9/4, 9/K, 10/5, 10/6, ueb11/1, W/1, W/5
  • Faktorzerlegung von Polynomen (Factorization of polynomials): 10/5, 10/6, 10/K
  • Fallender Graph (Decreasing graph): ueb10/5, 11/3, 11/6, 11/K, W/8, W/9, W/11
  • Fallunterscheidung (Case analysis): W/2, W/3, W/4, ueb7/6
  • Fläche (Area): 5/8, 5/9, 5/K, 6/6, 6/9, ueb6/10, 6/K, 7/U, 12/1, 12/K
  • Fläche, Kreis- (Circle area): 8/10, 8/K
  • Flachpunkt (Flat point): 12/2, W/11
  • Form einer Parabel (Form of a parabola): 9/2, 9/3, 9/K
  • Formel, binomische (Binomial formula): 7/3, 7/K, 9/1, 9/K, W/1
  • Formeln auflösen/umstellen (Solving/rearranging formulas): 7/6, 7/K, 8/7
  • Funktion (Function): 8/1, 8/2, 8/5, 8/K, 9/2, 9/3, 9/K, 10/7, 10/K, 11/1, 11/K, 12/1, 12/2, 12/K, W/8, W/9, W/10, 11/10
  • Funktionenschar (Family of functions): ueb11/1, ueb11/K, 11/2
  • F-Winkel (Corresponding angle): 7/5

G

  • Galton-Brett (Galton board): ueb8/8
  • Ganze Zahl (Integer): 5/1, 5/3
  • Ganzrationale Funktion (Polynomial function): 10/5, 10/7, 10/K
  • Gebrochen-rationale Funktion (Rational function): 8/5, 8/K, 10/7, 10/K, 11/1, 11/K, 11/3
  • Gegenereignis (Complement event): 8/8, 9/5, 11/9, 11/K
  • Gegenkathete (Opposite side): 9/9, 9/K
  • Gegenzahl (Opposite number): ueb5/1
  • Geltende Ziffern (Significant figures): 6/10, 6/K
  • Gemischte Zahl (Mixed number): 6/1, 6/4, 6/K
  • Geometrie (Geometry): 4/K, 5/4, 5/K, 7/U, 11/4, 11/K, 12/5-12/10, 12/K, W/20
  • Gerade und Kreis (Line and circle): 7/10
  • Geradengleichung als lineare Funktion (Line equation as linear function): 8/2, ueb8/9, 8/K, 10/7, 10/K, 11/10
  • Geradengleichung in der analytischen Geometrie (Line equation in analytic geometry): 12/5, 12/K
  • Geradenkreuzung (Intersection of lines): 7/5, 7/K
  • Geradenschar (Family of lines): ueb11/2
  • Geschwindigkeit (Speed): 6/10
  • Gesetz der großen Zahlen (Law of large numbers): 6/2, 8/8
  • Gleichschenkliges Dreieck (Isosceles triangle): 7/10, 7/K
  • Gleichschenkliges Trapez (Isosceles trapezoid): 7/4
  • Gleichseitiges Dreieck (Equilateral triangle): 7/10, 7/K, 9/8, 9/K
  • Gleichung (Equation): 5/6, 7/6, 7/7, 7/8, 7/K, 7/U, 8/4, 8/7, 8/K, 9/4, 9/10, 9/K, 10/5, 10/7, 10/K, W/4
  • Gleichung höheren Grades (Higher degree equation): 10/5, 10/7, 10/10, 10/K
  • Gleichungssystem (System of equations): 8/9, 8/K, ueb9/2
  • Gliedern von Termen (Breaking down terms): 5/2, ueb7/1
  • Grad eines Polynoms (Degree of polynomial): 10/5
  • Gradmaß (Degree measure): 10/3, 10/4, 10/K
  • Graph (Graph): 8/1, 8/K, 9/2, 9/3, 9/K, 10/4, 10/5, 10/9, 10/10, 10/K, 11/6, W/8, W/9, 11/1, 11/2, 11/10
  • Grenzwert (Limit): 10/5, 11/1, 11/K, W/7, 11/1, 11/3
  • Große Zahlen, Gesetz der (Law of large numbers): 6/2, 8/8
  • Größen (Quantities): 4/K, 5/8
  • Größer als (Greater than): 4/K, 5/1, 6/4, 6/5, 6/K
  • Größer als bei Ungleichungen (Greater than in inequalities): 8/4, 8/K, 10/7, W/2, W/5
  • Großkreis (Great circle): ueb10/3
  • Grundgleichung der Prozentrechnung (Basic percentage equation): 6/8, 7/8, 7/K, 7/U
  • Grundmenge (Universal set): 7/7
  • Grundschule (Elementary school): 4/K
  • Grundraum (Sample space): 8/8, 11/9
  • Grundwert (Base value): 6/8, 6/K, 7/8
  • Gültige Ziffern (Valid digits): 6/10, 6/K

H

  • Halbwertszeit/-dicke (Half-life): ueb10/1, ueb10/K
  • Häufigkeit (Frequency): 6/2, 6/K
  • Hauptnenner (Common denominator): 6/1, 6/4, 6/5, 6/K, 7/U, 8/6
  • Hauptsatz der Differential- und Integralrechnung (Fundamental theorem of calculus): 12/2, 12/K
  • Hebbare Definitionslücke (Removable discontinuity): W/23
  • Heron-Verfahren (Heron’s method): lsg9/1
  • Hessesche Normalenform (HNF) (Hesse normal form): 12/7, 12/K
  • Hinreichende Bedingungen für Extrema (Sufficient conditions for extrema): 11/8
  • h-Methode (h-method): 11/1
  • Hoch (Power): 5/2, 6/4, ueb6/5, 6/K, 7/1, 8/4, 8/K, 9/1, 9/7, W/17
  • Höhe im gleichseitigen Dreieck (Height in equilateral triangle): 9/8, 9/K
  • Höhensatz (Altitude theorem): ueb9/8
  • Höhenschnittpunkt (Orthocenter): 7/9
  • Hospitalsche Regel (L’Hôpital’s rule): W/7
  • Hypergeometrische Verteilung (Hypergeometric distribution): 12/3
  • Hypotenuse (Hypotenuse): 7/10, 7/K, 9/6, 9/8, 9/9, 9/K

I

  • Indirekt proportional (Inversely proportional): 8/3, ueb8/K
  • Inkreis (Incircle): 7/9
  • Innenwinkelsumme (Sum of interior angles): 7/5, 7/K
  • Integralfunktion (Integral function): 12/2, 12/K
  • Integration durch Substitution (Integration by substitution): W/16
  • Integrieren (Integration): 12/1, 12/K
  • Interpretieren von Termen (Interpreting terms): 7/1
  • Intervall (Interval): 8/4
  • Invarianzprinzip für Textaufgaben-Gleichungen (Invariance principle for word problems): W/21
  • Irrationale Zahl (Irrational number): 9/1, W/22

K

  • Kenngrößen von Daten (Data characteristics): 7/8
  • Kartesische Koordinaten (Cartesian coordinates): 9/9
  • Kathete (Leg): 7/10, 7/K, 9/6, 9/8, 9/9, 9/K
  • Kathetensatz (Geometric mean theorem): ueb9/8
  • Kegel (Cone): 10/8
  • Kegelstumpf (Truncated cone): 10/8, 10/9
  • Kehrsatz (Converse): 7/5
  • Kettenregel (Chain rule): 11/6, 11/K
  • Klammern auflösen (Removing parentheses): 7/2, 7/K, W/18
  • Kleiner als (Less than): 4/K, ueb5/1, 6/4, 6/5, 6/K
  • Kleiner als bei Ungleichungen (Less than in inequalities): 8/4, 8/K, 10/7, W/2, W/5
  • Kleinkreis (Small circle): ueb10/3
  • Kolmogorow (Kolmogorov): 11/9
  • Kombinatorik (Combinatorics): W/13, W/15
  • Kommazahl (Decimal number): 6/2, 6/3, 6/5, 6/K, 7/U
  • Kommutativgesetz (Commutative law): 5/6
  • Komplement (Complement): 8/8, 9/5, 11/9, 11/K
  • Kongruenz (Congruence): 7/9, 7/K
  • Konstruktion (Construction): 7/4, 7/9, 7/K
  • Konstruktion des 60°-Winkels (Construction of 60° angle): 7/10
  • Koordinatenform von Ebenen (Coordinate form of planes): 12/7, 12/K
  • Koordinatengeometrie (Coordinate geometry): 11/4, 11/K, 12/5-12/10, 12/K
  • Koordinatensystem (Coordinate system): 5/4, 5/K, 7/1, 8/1
  • Körper (Solid): 5/4, W/20
  • Kosinus (Cosine): 9/9, 9/K, 10/4, 10/K
  • Kosinussatz (Law of cosines): 9/9
  • Kreis (Circle): 5/4, 8/10
  • Kreis und Gerade (Circle and line): 7/10
  • Kreisdiagramm (Pie chart): 5/5, 6/9, 6/K, 7/U
  • Kreisfläche (Circle area): 8/10, 8/K
  • Kreismessung (Circle measurement): 8/10, 8/K
  • Kreissektor (Circular sector): 10/3, 10/K
  • Kreisteile (Parts of circle): 10/3, W/22
  • Kreisumfang (Circle circumference): 8/10
  • Kreuzprodukt (Cross product): 11/4, 11/K
  • Kreuzweises Multiplizieren (Cross multiplication): 8/7, 8/K, 9/10
  • Krümmung (Curvature): 12/2, 12/K, W/8, W/9, W/11
  • Kugel (Sphere): 10/9, 10/K
  • Kugel in der analytischen Geometrie (Sphere in analytic geometry): 11/4, ueb12/9, ueb12/7, ueb12/10
  • Kurvendiskussion (Curve analysis): 11/6, W/8, W/9, 11/10
  • Kurvenschar (Family of curves): 11/5, 11/K, ueb12/2
  • Kürzen (Reducing fractions): 6/1, 8/6, 8/K, W/17

L

  • L’Hospitalsche Regel (L’Hôpital’s rule): W/7
  • Lage Ebene-Ebene (Plane-to-plane configuration): 12/10, 12/K
  • Lage Gerade-Ebene (Line-to-plane configuration): 12/9, 12/K
  • Lage Gerade-Gerade (Line-to-line configuration): 12/8, 12/K
  • Lage Punkt-Ebene (Point-to-plane position): 12/6
  • Lage Punkt-Gerade (Point-to-line position): 12/5, 12/K
  • Länge (Length): 5/4, 7/U
  • Länge von Vektoren (Length of vectors): 11/4, 11/K
  • Laplace-Experiment (Laplace experiment): 8/8, 8/K
  • Leere Menge (Empty set): 7/7, 7/K, 9/10
  • Leistungsaufgabe (Work rate problem): W/21
  • Limes (Limit): 11/1, 11/K, W/7, 11/1, 11/3
  • Lineal und Zirkel (Straightedge and compass): 7/4
  • Linear unabhängig (Linearly independent): 12/6, W/16
  • Lineare Funktion (Linear function): 8/2, 8/K, 10/7, 10/K
  • Lineare Gleichung (Linear equation): 7/6, 7/7, 7/K, 7/U, 8/4, 9/10, 9/K, 10/7, 10/K
  • Lineares Gleichungssystem (Linear system of equations): 8/9, 8/K
  • Lineares Wachstum (Linear growth): 10/1
  • Linearkombination (Linear combination): ueb11/4
  • Liter (Liter): 6/7, 6/K
  • Ln-Funktion (Natural logarithm function): 11/8, 11/K
  • Logarithmusfunktion (Logarithmic function): 10/1, 10/K, 11/8, 11/K
  • Lösen einer Polynomgleichung (Solving polynomial equations): 10/5, 10/10, 10/K
  • Lösen von Gleichungen (Solving equations): 7/6, 7/7, 7/K, 7/U, 8/4, 9/4, 9/10, 9/K, 10/5, 10/7, 10/10, 10/K
  • Lösungsmenge (Solution set): 7/7, 7/K
  • Lotfußpunkt auf Gerade (Foot of perpendicular on line): 12/5, 12/K, ueb12/9
  • Lotfußpunkt auf Ebene (Foot of perpendicular on plane): 12/7
  • Lotto (Lottery): ueb12/3

M

  • Manipulation mit Diagrammen (Manipulation of diagrams): 6/9, 6/K
  • Mantelfläche (Lateral surface area): 8/10, 8/K, 10/8
  • Masse (Mass): 5/8, 7/U
  • Maßstab (Scale): ueb5/4, 5/9, 5/K, ueb6/10, 7/U
  • Maximum (Maximum): 7/8, 11/3, ueb11/5, 11/6, 11/K, 12/2, W/8, W/9, W/11
  • Median (Median): 7/8, 7/K, 7/U
  • Mehrfache Lösung (Multiple root): 10/6
  • Mehrstufige Zufallsexperimente (Multistage random experiments): 10/2
  • Menge (Set): ueb5/1, 9/5
  • Messung (Measurement): ueb5/8
  • „Mindestens ein”-Ereignisse (At least one event): 11/9, 11/K, 12/3
  • Minimum (Minimum): 7/8, 11/3, ueb11/5, 11/6, 11/K, 12/2, W/8, W/9, W/11
  • Minuend einer Differenz (Minuend): 5/2, ueb7/1
  • Minusklammer (Negative bracket): 7/2, 7/3, 7/K, W/18
  • Mittelpunkt (Midpoint): 11/4, 11/K
  • Mittelsenkrechte (Perpendicular bisector): 7/9, 7/K
  • Mittelwert (Mean): 12/3, 12/K, W/15
  • Mitternachtsformel (Quadratic formula): 9/4, 9/10, 9/K, 10/7, 10/K
  • Modellieren mit Funktionen (Modeling with functions): 11/10
  • Monotonie (Monotonicity): 11/3, 11/6, 11/K, W/8, W/9, W/11
  • Multiplikation (Product): 4/K, 5/2, ueb7/1
  • Multiplikation von Bruchtermen (Multiplication of fractional terms): 8/6
  • Multiplikationsregel (Multiplication rule/counting principle): 5/7, 5/K, 7/U, 8/8, 8/K, W/13
  • Multiplizieren von Klammern (Multiplying brackets): 7/2, 7/K, W/18
  • Multiplizieren, kreuzweises (Cross multiplication): 8/7, 8/K, 9/10

N

  • Nachbarwinkel (Adjacent angle): 7/5
  • Nachdifferenzieren (Chain differentiation): 11/6, 11/K
  • Nahtstelle (Junction point): W/10
  • Natürliche Exponentialfunktion (Natural exponential function): 11/8, 11/K
  • Natürliche Logarithmusfunktion (Natural logarithm function): 11/8, 11/K
  • Natürliche Zahl (Natural number): 5/1, 5/2
  • Nebenwinkel (Supplementary angle): 7/5
  • Negative Zahl (Negative number): 5/1, 5/3, 5/K, 6/5, 6/K, 7/U
  • Negativer Exponent (Negative exponent): 6/4, ueb6/5, 6/K, 7/1, 7/U, 8/4, 8/K, W/17
  • Neigungswinkel (Angle of inclination): ueb9/9, 11/3
  • Nenner rational machen (Rationalizing denominator): 9/1
  • Nenner eines Bruchs (Denominator of fraction): 6/1, 6/4, 6/5, 6/K, 7/U
  • Nenner eines Bruchterms (Denominator of fractional term): 8/5, 8/6, 8/K, 10/7, 11/1, 11/6, 11/K, 11/3
  • Netz (Net): 5/4, 5/10, 5/K, 8/10, 8/K, 10/8, W/20
  • Newton-Verfahren (Newton’s method): 11/3, 11/K
  • Normale (Normal line): 11/3
  • Normalenform von Ebenen (Normal form of planes): 12/7, 12/K
  • Normalform einer quadratischen Gleichung (Normal form of quadratic): 9/4, 9/10
  • Normalvektor auf Ebene (Normal vector on plane): 12/7, 12/K
  • Normalverteilung (Normal distribution): W/16
  • Notwendige Bedingungen für Extrema (Necessary conditions for extrema): 11/8
  • n-te Wurzel (nth root): 9/7, 9/K
  • Nullprodukt (Zero product): 7/7, ueb9/4, 9/10, 10/5
  • Nullstelle (Zero/root): 8/1, 8/5, 8/K, 9/2, 9/3, 10/2, 10/5, 10/6, 10/9, ueb10/K, 11/1, 11/3, 11/6, 11/7, 11/K, W/8, W/9, 11/3

O

  • Oberfläche (Surface area): 5/10, 5/K, ueb6/6, 8/10, 8/K, 10/8, 10/9, 10/K, uebW/17, uebW/18
  • Oder-Ereignis (Or event): ueb8/8, 9/5, 11/9, 11/K
  • Optimierungsaufgabe (Optimization task): 9/2, 11/10, 11/K

P

  • Parabel (Parabola): 9/2, 9/3, 9/K, 10/7, 10/K
  • Parabelschar (Family of parabolas): ueb11/7
  • Parallele Geraden (Parallel lines): 7/5, 7/K, 12/8
  • Parallelogramm (Parallelogram): 5/4, 6/6, 6/K, 7/4, 11/4, W/16
  • Parameter (Parameter): 11/5, 11/K, ueb12/2, W/4, W/6, 11/2
  • Partielle Integration (Integration by parts): W/16
  • Periode von Dezimalzahlen (Period of decimals): 6/5
  • Periodenlänge trigonometrischer Funktionen (Period length of trig functions): 10/4
  • Permutation (Permutation): W/13
  • Pfadregeln (Path rules): 10/2
  • Pi (Pi): 8/4, 8/K, W/22
  • Plusminusformel (Plus/minus formula): 7/3, 7/K, 9/1, 9/K
  • Pol (Pole): 8/5, 8/K, 11/1, 11/K
  • Polarkoordinaten (Polar coordinates): 9/9
  • Polynomdivision (Polynomial division): 10/10
  • Polynomfunktion (Polynomial function): 10/5, 10/6, 10/7, 10/K
  • Polynomgleichung (Polynomial equation): 10/5, 10/6, 10/7, 10/10, 10/K
  • Potenz (Power): 5/2, 6/4, ueb6/5, 6/K, ueb7/1, 7/U, 8/4, 8/K, 9/7, 9/K, W/17
  • Potenzfunktion (Power function): 9/7, 10/7, 10/K
  • Potenzgleichung (Power equation): 9/10
  • p-q-Formel (p-q formula): 9/4
  • Primfaktorzerlegung (Prime factorization): 5/6, 5/K, 6/4
  • Primzahl (Prime number): 5/6, 5/K
  • Prinzipieller Verlauf einer ganzrationalen Funktion (General shape of polynomial): 10/5
  • Prisma (Prism): 8/10, 8/K, W/20
  • Produkt (Product): 5/2, ueb7/1
  • Produktgleichung (Product equation): 7/7, ueb9/4, 9/10
  • Produktregel (beim Differenzieren) (Product rule for differentiation): 11/6, 11/K
  • Produktregel (Zählprinzip) (Product rule/counting principle): 5/7, 5/K, 7/U, 8/8, 8/K, W/13
  • Produktungleichung (Product inequality): W/2
  • Projektion eines Punktes auf eine Ebene (Projection of point onto plane): ueb12/9, ueb12/10
  • Projektion in Koordinatenebene (Projection into coordinate plane): ueb12/5
  • Proportional (Proportional): 6/8, 8/3, 8/4, 8/K, W/19
  • Prozent (Percent): 6/2, ueb6/6, 6/8, 6/9, ueb6/10, 6/K, 7/1, 7/8, ueb7/K, 7/U, ueb8/3, ueb8/5, W/19
  • Punkt vor Strich (Order of operations): 5/2, 6/5, ueb6/K
  • Punktsymmetrie und -spiegelung (Point symmetry): 7/4, 7/K, 9/6, 10/5, ueb10/K, 11/6, W/8, W/9, 11/1
  • Pyramide (Pyramid): 9/6, 10/8, 11/4
  • Pythagoras (Pythagorean theorem): 9/8, 9/K

Q

  • Quader (Rectangular prism): 4/K, 5/4, 5/10, 6/7, 6/K, 7/U, 9/8, W/20
  • Quadrat (Square): 5/4, 7/4
  • Quadratdiagonale (Diagonal of square): 9/8, 9/K
  • Quadratische Ergänzung (Completing the square): 9/2, 9/K
  • Quadratische Funktion (Quadratic function): 9/2, 9/3, 9/K, 10/7, 10/K
  • Quadratische Gleichung (Quadratic equation): 9/4, 9/10, 9/K, 10/7, 10/K, W/6
  • Quadratische Ungleichung (Quadratic inequality): ueb10/6, W/5
  • Quartil (Quartile): 7/8, 7/K
  • Quotient (Quotient): 5/2, ueb7/1
  • Quotientengleichheit (Quotient equality): 8/3, 8/K
  • Quotientenregel (Quotient rule): 11/6, 11/K

R

  • RAD (Radian mode): 10/3
  • Radikand (Radicand): 9/1, 9/K
  • Radioaktiver Zerfall (Radioactive decay): 10/1
  • Rational machen des Nenners (Rationalizing denominator): 9/1
  • Rationale Zahl (Rational number): 6/5, 9/1
  • Raumdiagonale (Space diagonal): 9/8
  • Raumgeometrie (Solid geometry): 10/8, 10/9
  • Rauminhalt (Volume): 6/7, 6/9, 6/K, 7/U, 10/8, 10/9, 10/K
  • Raute (Rhombus): 5/4, ueb6/6, 7/4
  • Rechenfertigkeit (Computational skill): 5/6, 6/3, 6/4, 6/5
  • Rechenvorteil (Computational advantage): 5/6
  • Rechnen mit Brüchen (Arithmetic with fractions): 6/1, 6/K, 7/U
  • Rechnen mit Bruchtermen (Arithmetic with fractional terms): 8/6, 8/K
  • Rechnen mit natürlichen Zahlen (Arithmetic with natural numbers): 5/2, 5/6, 5/K, 7/U
  • Rechnen mit negativen Zahlen (Arithmetic with negative numbers): 5/3, 6/4, 6/5, 6/K
  • Rechteck (Rectangle): 5/4, 5/10, 6/6, 6/K, 7/4
  • Rechtwinkliges Dreieck (Right triangle): 7/10, 7/K, 9/6, 9/8, 9/9, 9/K
  • Reelle Zahl (Real number): ueb9/1
  • Reine Potenzgleichung (Pure power equation): 10/7, 10/K
  • Reinquadratische Funktion/Gleichung (Pure quadratic): 10/7
  • Relative Häufigkeit (Relative frequency): 6/2, 6/K
  • Rotationskörper (Solid of revolution): 10/9
  • Runden (Rounding): 5/1, 5/K, 6/3

S

  • Sachaufgaben (Word problems): See Textaufgaben
  • Satz und Kehrsatz (Theorem and converse): 7/5
  • Schar von Funktionen (Family of functions): 11/5, 11/K, ueb12/2, 11/2
  • Scheitel (Vertex): 9/2, 9/3, 9/K
  • Scheitelwinkel (Vertical angle): 7/5
  • Schiefe Asymptote (Oblique asymptote): 11/1, 11/K
  • Schlussrechnung (Rule of three): 5/9, 5/K, 6/8, 8/3, W/19
  • Schnittgerade Ebene-Ebene (Intersection line of planes): 12/10, 12/K
  • Schnittmenge (Intersection set): 9/5
  • Schnittpunkt von Funktionsgraphen (Intersection of function graphs): 8/1, 8/K, 9/3, ueb10/10
  • Schnittpunkt Gerade-Ebene (Line-plane intersection): 12/9, 12/K
  • Schnittpunkt Gerade-Gerade (Line-line intersection): 12/8, 12/K
  • Schnittwinkel Ebene-Ebene (Dihedral angle): 12/10, 12/K
  • Schnittwinkel Gerade-Ebene (Line-plane angle): 12/9, 12/K
  • Schnittwinkel Gerade-Gerade (Line-line angle): 12/8, 12/K
  • Schnittwinkel von Funktionsgraphen (Angle between function graphs): 11/3
  • Schrägbild (Oblique projection): ueb5/4, 8/10, 10/8
  • Schräge Asymptote (Oblique asymptote): ueb10/10, 11/1, 11/K
  • Schwerpunkt (Centroid): 7/9, W/16
  • Segment (Segment): ueb10/3
  • Seitenhalbierende (Median of triangle): 7/9
  • Sektor (Sector): 10/3, W/22
  • Senkrechte Asymptote (Vertical asymptote): 8/5, 8/K, 11/1, 11/K
  • Sicheres Ereignis (Certain event): 8/8
  • Signifikanztest (Significance test): 12/4, 12/K
  • Simulation eines Zufallsexperiments (Simulation of random experiment): ueb8/8, 10/2
  • Sin (Sine): 9/9, 9/K, 10/4, 10/K
  • Sinussatz (Law of sines): 9/9
  • Skalarprodukt (Dot product): 11/4, 11/K
  • Spannweite (Range): 7/8
  • Spat (Parallelepiped): 11/4
  • Spiegelung (Reflection): 7/4, ueb7/2, 9/6
  • Spiegelung von Graphen (Reflection of graphs): 8/5, ueb9/3, 9/7, ueb9/K, 10/4, 11/2
  • Spiegelungen in der analytischen Geometrie (Reflections in analytic geometry): ueb12/9, ueb12/6
  • Spurpunkt (Trace point): 12/9
  • SsW-Satz usw. (SSW theorem etc.): 7/9, 7/K
  • Stammfunktion (Antiderivative): 11/2, 11/7, 11/8, 12/1, 12/2, 12/K
  • Standardabweichung (Standard deviation): 12/3
  • Statistik, beurteilende (Inferential statistics): 12/4, 12/K, W/14
  • Stauchung geometrischer Figuren (Compression of geometric figures): 9/6
  • Stauchung von Graphen (Compression of graphs): 10/4, 10/K, 11/2
  • Steckbriefaufgabe (Curve fitting problem): 11/10, 11/K, ueb12/2
  • Steigender Graph (Increasing graph): ueb10/5, 11/3, 11/6, 11/K, W/8, W/9, W/11
  • Steigung von Geraden (Slope of line): 8/2, 8/K, ueb9/9
  • Steigung von Funktionsgraphen (Slope of function graph): 11/2, 11/3, 11/5, 11/6, 11/K, 12/2, 12/K, W/11
  • Stellenwerttafel (Place value chart): 5/1, 5/8
  • Stetigkeit (Continuity): 11/1
  • Stichprobe (Sample): W/13
  • Stochastik (Stochastics): 8/8, 8/K, 9/5, 9/K, 10/2, 10/K, 11/9, 11/K, 12/3, 12/4, 12/K, W/13, W/15, 11/4
  • Strahlensatz (Intercept theorem): 9/6, 9/K
  • Strecke (Line segment): 5/4
  • Streckenlänge (Length of segment): 5/4, 11/4, 11/K
  • Streckung geometrischer Figuren (Stretching geometric figures): 9/6
  • Streckung von Graphen (Stretching graphs): 9/7, 10/4, 10/K, 11/2
  • Strenge Monotonie (Strict monotonicity): 11/8
  • Streuung (Dispersion): 12/3
  • Stufenwinkel (Corresponding angle): 7/5
  • Stufenzahl (Power of ten): 5/1
  • Stützdreieck (Support triangle): 10/8
  • Substitution (Substitution): 9/10, 10/5
  • Substitution, Integration durch S. (Integration by substitution): W/16
  • Subtrahend einer Differenz (Subtrahend): 5/2, ueb7/1
  • Subtraktion (Difference): 4/K, 5/2, ueb7/1
  • Subtraktion von Bruchtermen (Subtraction of fractional terms): 8/6, 8/K
  • Summe (Sum): 5/2, ueb7/1
  • SWW-Satz usw. (SAA theorem etc.): 7/9, 7/K
  • Symmetrie (Symmetry): 7/4, 7/K, W/20
  • Symmetrie von Funktionsgraphen (Symmetry of function graphs): 10/5, 10/K, 11/6, W/8, W/9, 11/1

T

  • Tan (Tangent): 9/9, 9/K
  • Tangente (Tangent line): 5/4, 7/10, 7/K
  • Tangente an Funktionsgraphen (Tangent to function graph): 11/3, 11/K
  • Taschenrechner (Calculator): 8/4, 9/9, 10/1, 10/3
  • Teilbarkeitsregel (Divisibility rule): 6/1
  • Teilmenge in der Kombinatorik (Subset in combinatorics): W/13
  • Teilung von Größen (Division of quantities): ueb5/8
  • Teilungsverhältnis (Ratio of division): ueb11/4, W/16
  • Term (Term): 5/2, 7/1, 7/2, 7/K, 7/U, W/18
  • Terrassenpunkt (Inflection point with horizontal tangent): 12/2, W/11
  • Testen von Hypothesen (Hypothesis testing): 12/4, 12/K, W/14
  • Textaufgabe (Word problem): 4/K, 7/7, 7/K, W/21
  • Textaufgabe mit quadratischer Gleichung (Word problem with quadratic): ueb9/K
  • Thales (Thales’ theorem): 7/10, 7/K
  • Transversale im Dreieck (Transversal in triangle): 7/9, 7/K
  • Trapez (Trapezoid): 5/4, 6/6, 6/K, 7/4
  • Trigonometrie (Trigonometry): 9/9, 9/K
  • Trigonometrische Funktion (Trigonometric function): 9/9, 9/K, 10/3, 10/4, 10/7, 10/K
  • Trigonometrische Gleichung (Trigonometric equation): 9/10, 10/3, 10/7, 10/K
  • Tschebyschow (Chebyshev): W/15
  • Tupel (Tuple): W/13

U

  • Überschlag (Estimation): 4/K, 5/6
  • Umfang (Perimeter): 5/4
  • Umfang, Kreis- (Circle circumference): 8/10, 8/K
  • Umformen von Termen (Transforming terms): 7/2, 7/K
  • Umkehrfunktion (Inverse function): 11/5, 11/K, 11/7, 11/8
  • Umkreis (Circumcircle): 7/9, 7/K
  • Umstellen von Formeln/Gleichungen (Rearranging formulas/equations): 7/6, 7/7, 7/K, 8/7, ueb8/K
  • Unabhängigkeit von Ereignissen (Independence of events): 11/9, 11/K
  • Und-Ereignis (And event): 9/5, 11/9, 11/K
  • Unendlich (Infinity): 11/1
  • Unerfüllbare Gleichung (Inconsistent equation): 7/7, 7/K, 9/10
  • Ungleichung (Inequality): 8/4, 8/K, 10/6, W/2, W/5
  • Unmögliches Ereignis (Impossible event): 8/8
  • Urnenexperiment (Urn experiment): ueb8/8, 10/2, 12/3, ueb12/K, W/13, W/15
  • Ursprungsgerade (Line through origin): 8/3, 8/K

V

  • Variable (Variable): 7/1, 7/7, 7/K
  • Varianz (Variance): 12/3, 12/K, W/15
  • Vektor (Vector): 11/4, 11/K
  • Vektorprodukt (Cross product): 11/4, 11/K
  • Veranschaulichen von Termen (Illustrating terms): 7/1
  • Verbindungsvektor (Connecting vector): 11/4, 11/K
  • Vereinigungsmenge (Union): 9/5
  • Vergleichen von natürlichen Zahlen, Brüchen und Rechenausdrücken (Comparing numbers/fractions/expressions): ueb5/1, 6/4, 6/5, 6/K
  • Verhältnis (Ratio): 6/8, 8/K, 9/6
  • Verknüpfte Ereignisse (Combined events): 9/5, 11/9, 11/K
  • Verlauf einer ganzrationalen Funktion, prinzipieller (General shape of polynomial function): 10/5
  • Verminderung um … % (Decrease by %): 6/8, 6/K, 7/8
  • Verschiebung (Translation): ueb7/2
  • Verschiebung von Graphen (Translating graphs): 8/5, 10/4, 11/2
  • V-Figur (V-figure): 9/6
  • Vielfachheit (Multiplicity): 10/5, 10/6, 10/K
  • Viereck (Quadrilateral): 7/4, 7/5, 7/K
  • Viereckskonstruktion (Quadrilateral construction): 7/9
  • Vierfeldertafel (4-field table): 9/5, 9/K, 11/4
  • Vieta (Vieta’s formulas): W/5
  • Volumen (Volume): 6/7, 6/9, 6/K, 7/U, 8/10, 8/K, 9/9, 9/K, 10/8, 10/9, 10/K, uebW/17, uebW/18
  • Vorzeichen bei Bruchtermen (Signs in fractional terms): 8/6, 8/K
  • Vorzeichen bei negativen Zahlen (Signs with negative numbers): 5/1, 5/3, 5/K, 6/4, 6/5, 6/K, 7/U
  • Vorzeichen vor Minusklammern (Signs before negative brackets): 7/2, 7/3, 7/K, 7/U, uebW/18
  • Vorzeichenbereiche (Sign intervals): 10/6, 10/K

W

  • Waagrechte Asymptote (Horizontal asymptote): 8/5, 8/K, 11/1, 11/K, 11/3
  • Wachstum (Growth): 10/1, 10/K
  • Wahrscheinlichkeit (Probability): 8/8, 8/K, 9/5, 9/K, 10/2, 10/K, 11/9, 11/K, 12/3, 12/4, 12/K
  • Wahrscheinlichkeitsverteilung (Probability distribution): 12/3
  • Wechselwinkel (Alternate angle): 7/5
  • Wendepunkt (Inflection point): 12/2, 12/K, W/8, W/9, W/11, 11/10
  • Wendetangente (Tangent at inflection point): 12/2, W/11
  • Wertebereich (Range): W/8, W/9, 11/10
  • Wertetabelle (Value table): 7/1, 8/1, 8/5
  • Windschiefe Geraden (Skew lines): 12/8
  • Winkel (Angle): 5/5, 5/K, 6/9, 6/K, 11/3, 11/4, 11/K
  • Winkelgesetze (Angle theorems): 7/5, 7/K, 7/U
  • Winkelhalbierende (Angle bisector): 7/4, 7/9
  • WSW-Satz usw. (ASA theorem etc.): 7/9, 7/K
  • Würfel (Cube): 5/4, 5/10, 5/K, 6/7, W/20
  • Wurzel (Root): 9/1, 9/7, 9/K, ueb10/6, 11/5, 11/K, W/17
  • Wurzelgleichung (Radical equation): 9/10

X

  • x-Achse: See Koordinatensystem
  • x-Ansatz: 7/1, 7/7, 7/K
  • X-Figur (X-figure): 9/6

Y

  • y-Achse: See Koordinatensystem
  • y-Achsenabschnitt (y-intercept): 8/1, 8/2, 8/K
  • y-Achsen-Schnitt (y-axis intersection): 10/5, 11/10
  • y-Wert (y-value): 8/1

Z

  • Zahl der Lösungen einer quadratischen Gleichung (Number of solutions to quadratic): 9/4, 9/K, W/6, ueb11/7
  • Zahlenstrahl (Number line): 5/1
  • Zähler eines Bruchs (Numerator of fraction): 6/1, 6/4, 6/5, 6/K, 7/U
  • Zähler eines Bruchterms (Numerator of fractional term): 8/5, 8/6, 8/K, 10/7, 11/1, 11/6, 11/K, 11/3
  • Zählprinzip (Counting principle): 5/7, 5/K, 7/U, 8/8, 8/K, W/13
  • Zehnerpotenz (Power of ten): 5/1, 5/K, 6/4, ueb6/5, 6/K, 8/4, uebW/17
  • Zeit (Time): 5/8, 7/U
  • Zentrische Streckung (Homothety): 9/6
  • Zerfall (Decay): 10/1
  • Ziehen mit/ohne Zurücklegen (Drawing with/without replacement): 10/2, 12/3, ueb12/K
  • Zins (Interest): 6/8, 7/8, ueb7/U, ueb8/5
  • Zirkel und Lineal (Compass and straightedge): 7/4
  • Zufallsexperiment (Random experiment): 8/8, 9/5, 9/K, 10/2
  • Zufallsgrößen/-variablen (Random variables): 12/3
  • Zuordnungsvorschrift (Assignment rule): 8/1, 8/3
  • Zusammenfassen von Termen (Combining terms): 7/2, 7/K
  • Zusammengesetzte Zufallsexperimente (Compound random experiments): 10/2
  • Zuverlässige Ziffern (Reliable digits): 6/10, 6/K
  • Zweiseitiger Hypothesentest (Two-sided hypothesis test): W/14
  • Zweite Ableitung (Second derivative): 12/2, 12/K, W/11
  • Z-Winkel (Corresponding angle): 7/5
  • Zylinder (Cylinder): 8/10, 8/K, ueb9/M

Source: https://www.strobl-f.de/toc.html