Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analyzing uncertainty and likelihood of events and outcomes

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Calculator Suite

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Graphing Calculator

Visualize equations and functions with interactive graphs and plots

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Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analyzing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualize equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

Flächeninhalt Parallelogramm

Flächeninhalt Parallelogramm

Open-ended question 1

★☆☆ Berechne den Flächeninhalt A des Parallelogramms mit folgenden Bestimmungsstücken. a = 6 cm h_a = 2 cm

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Open-ended question 2

★★☆ Selina und Anna berechnen den Flächeninhalt des dargestellten Parallelogramms. Selina rechnet: Flächeninhalt = Seitenlänge · zugehöriger Höhe A = a · h_a A = 5 · 3 A = 15 cm² Anna rechnet: Flächeninhalt = Seitenlänge · zugehöriger Höhe A = b · h_b A = 4 · 3,75 A = 15 cm² Begründe, warum Selina und Anna beide zum selben Ergebnis gelangen.

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Open-ended question 3

★★★ Jonas zeichnet die Höhe h_a im Parallelogramm beliebig ein. Jonas verschiebt die 2 Teile so, dass ein flächengleiches Rechteck entsteht. Argumentiere, warum die Formel für den Flächeninhalt gilt, egal wo die Höhe h_a innerhalb des Parallelogramms eingezeichnet wird.

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