MA06-02 Maths Watch
Venn diagrams: universal set, empty set and complement
Subscribe on YouTubeLike this lesson on YouTube
In this lesson
In this video you'll learn about venn diagrams: universal set, empty set and complement for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to construct a two-set Venn diagram from given information by filling the intersection first and working outward - including the 'outside both circles' region - then read off the universal set, empty set and complement of a set from a completed diagram.
What it covers
- 0:35 The picture and its four regions
- 2:59 Worked example 1
- 6:02 The three symbols
- 9:45 Your turn
- 10:39 Exam technique
- 12:41 Your turn, with the whole method
- 14:40 What's next
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Edexcel IGCSE 4MA1, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | P6 | Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams |
| Edexcel GCSE 1MA1 | P6 | Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams |
| Eduqas GCSE C300 | FP6 | Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams |
| Eduqas GCSE C300 | HP6 | Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams |
| OCR GCSE J560 | 11.02c | Use a two-circle Venn diagram to enumerate sets, and use this to calculate related probabilities. Use simple set notation to describe simple sets of numbers or objects. |
| Edexcel IGCSE 4MA1 | F6.3D | Find probabilities from a Venn diagram |
| Edexcel IGCSE 4MA1 | F1.5E | Use Venn diagrams to represent sets |
| Edexcel IGCSE 4MA1 | F1.5C | Understand the concept of the universal set and the empty set and the symbols for these sets |
| Edexcel IGCSE 4MA1 | F1.5D | Understand and use the complement of a set |
| Cambridge IGCSE 0580 | C1.2 | Understand and use set language, notation and Venn diagrams to describe sets. |
| Cambridge IGCSE 0580 | E1.2 | Understand and use set language, notation and Venn diagrams to describe sets and represent relationships between sets. |
For teachers
This GCSE Maths lesson teaches Venn diagrams: universal set, empty set and complement. By the end, students should be able to construct a two-set Venn diagram from given information by filling the intersection first and working outward - including the 'outside both circles' region - then read off the universal set, empty set and complement of a set from a completed diagram. It works through two worked examples and the mistakes examiners report.