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Drawing and reading diagrams

This page was translated from German with AI. It has not been checked by a native speaker. Original page in German

A diagram (das Diagramm) shows data as a picture. You draw a bar chart (das Säulendiagramm) and a pie chart (das Kreisdiagramm) and read numbers from a diagram.
📄 Open worksheet (PDF, German)

The video

In the video the bars grow, then the pie chart appears piece by piece.

Subtitles are available in ten languages. Choose them at the bottom right of the video.

Contents of the video

  1. 0:00 Introduction
  2. 0:24 The bar chart
  3. 0:54 The pie chart
  4. 1:29 Reading diagrams
  5. 1:56 Careful, mistake!
  6. 2:21 Try it yourself

The most important points

Bar chart

One bar for every answer. The height is the number. All bars are equally wide. The axis always starts at \(0\).

The highest bar shows the most common answer.
The highest bar shows the most common answer.

Pie chart

The whole circle has \(360^\circ\). Angle = relative frequency \(\cdot\ 360^\circ\). For the bus: \(0{,}4 \cdot 360^\circ = 144^\circ\).

144^\circ + 90^\circ + 72^\circ + 54^\circ = 360^\circ
\(144^\circ + 90^\circ + 72^\circ + 54^\circ = 360^\circ\)
From the top of the bar to the left, to the number: chocolate 9, vanilla 6, strawberry 3.
From the top of the bar to the left, to the number: chocolate \(9\), vanilla \(6\), strawberry \(3\).

The worksheet

Here you can see the worksheet for the video (in German). First it explains everything again, then there are practice tasks at three levels. You can also open it as a PDF and print it.

📄 Open worksheet (PDF, German)

The worksheet – Page 1
Page 1/4
The worksheet – Page 2
Page 2/4
The worksheet – Page 3
Page 3/4
Show the worksheet solutions
The worksheet – Page 4
Page 4/4

Try it yourself

Task

25 children: dog \(10\), cat \(5\), no pet \(10\). Calculate the angles for dog and cat in the pie chart.

Show solution

Dog: \(0{,}4 \cdot 360^\circ = 144^\circ\). Cat: \(0{,}2 \cdot 360^\circ = 72^\circ\).

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: Diagramme (Säulendiagramm, Kreisdiagramm, Winkel berechnen, Diagramme lesen). Stelle mir nacheinander fünf kurze Aufgaben. Warte immer auf meine Antwort. Sag mir dann, ob sie richtig ist, und erkläre kurz, warum. Benutze einfache deutsche Sätze.

How this was made: The idea, structure and examples of the series are mine. I made them with the help of AI: a language model (LLM) built the slides of the video following my instructions. The voice was generated with Qwen3-TTS, modelled on my own voice.

The subtitles, the translations, the worksheet and this page were also made with the help of AI. The translations have not been checked by native speakers.

The videos, worksheets, texts and prompts in this series are licensed under CC BY 4.0: you may use, change and share them if you name the source.