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