Einführung in die Trigonometrie; Das rechtwinklige Dreieck; Die Hypotenuse; Gegenkathete und Ankathete; Identifikation der Seiten; Der Sinus (sin); Der Kosinus (cos); Der Tangens (tan); Merkregel: SOH CAH TOA; Anwendung: Fehlende Seiten finden; Beispiel: Sinus anwenden; Beispiel: Kosinus anwenden; Beispiel: Tangens anwenden; Zusammenfassung der Konzepte; Anwendungsaufgaben und Diskussion

Sinus, Kosinus, Tangens

Natürliche Zahlen & Zehnersystem; Stellenwert verstehen; Große Zahlen lesen; Zahlen runden lernen; Schätzen im Alltag

Zahlen verstehen und nutzen

Einführung in exponentielles Wachstum und Zerfall; Grundform und Parameter einer Exponentialfunktion; Definitions-, Wertebereich und Asymptote; Graphen zeichnen und transformieren; Anwendungen und Gleichungen lösen

Exponentielle Funktionen

Geometrische und algebraische Herleitung; Formel: (a + b)² = a² + 2ab + b²; Anwendungsbeispiele und häufige Fehler; Komplexere Fälle und Praxisbezug; Rückwärts anwenden und Übungsaufgaben

Die 1. Binomische Formel

Einführung in Änderungsmaße; Absolute und relative Änderung; Mittlere Änderungsrate; Von Mittel zu Momentan; Die Ableitung als Änderungsmaß

Änderungsmaße

Brüche & Dezimalbrüche im Alltag; Brüche multiplizieren: Regeln & Kürzen; Dezimalbrüche multiplizieren: Komma setzen; Brüche dividieren: Kehrwert nutzen; Dezimalbrüche dividieren: Komma verschieben

Brüche und Dezimalbrüche

Was sind Zahlen?; Die Zahlen von 1 bis 5; Die Zahlen von 6 bis 10; Alle Zahlen von 1 bis 10; Zahlen finden und üben

Zahlen von 1 bis 10

Was ist eine Gleichung? (Die Grundlagen); Gleichheit im Alltag (Warum ist das wichtig?); Die Definition einer Gleichung; Das Gleichheitszeichen (=) – Der Kern der Sache; Bestandteile: Variablen (Die Unbekannten); Bestandteile: Konstanten (Die festen Werte); Bestandteile: Operatoren (Die Rechenzeichen); Terme: Die Bausteine der Gleichung; Gleichungen analysieren (Wir zerlegen sie!); Was heißt 'Lösen'? (Das Ziel); Das Waage-Prinzip anwenden (Im Gleichgewicht bleiben); Multiplikation & Division (Weitere Waage-Prinzipien); Schritt-für-Schritt lösen (Praktisches Beispiel); Komplexere Gleichungen (Eine kleine Herausforderung); Dein Gleichungs-Check! (Teste dein Wissen)

Gleichung

IARA TIP

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