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MA06-03 Maths Watch

Algebraic set definitions and subsets (Higher)

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In this lesson

In this video you'll learn about algebraic set definitions and subsets (higher) for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to interpret a set defined by an algebraic condition (e.g. A = {x : x is a natural number, x < 10}) and use subset notation A ⊆ B to state that every element of one set also belongs to another.

By the end: Interpret a set defined by an algebraic condition (e.g. A = {x : x is a natural number, x < 10}) and use subset notation A ⊆ B to state that every element of one set also belongs to another.

What it covers

  1. 1:17 The rule, and building the list
  2. 2:36 Run it
  3. 4:16 Your go, same shape
  4. 5:22 The subset symbol and worked example 1
  5. 6:17 Back to A, and here is B
  6. 7:12 A list of hits only covers the five numbers you happened to check
  7. 8:33 Direction
  8. 10:03 Turn it round
  9. 10:50 Say that plainly, because it is the trap here
  10. 11:26 ExamCraft, quote-free
  11. 12:19 Exam technique
  12. 13:02 Your turn, both halves at once
  13. 15:28 What's next

Key words

For: Cambridge IGCSE 0580, Edexcel IGCSE 4MA1

On the specification

BoardSpecStatement
Cambridge IGCSE 0580E1.2Understand and use set language, notation and Venn diagrams to describe sets and represent relationships between sets.
Edexcel IGCSE 4MA1H1.5AUnderstand sets defined in algebraic terms, and understand and use subsets
For teachers

This GCSE Maths lesson teaches algebraic set definitions and subsets (Higher). By the end, students should be able to interpret a set defined by an algebraic condition (e.g. A = {x : x is a natural number, x < 10}) and use subset notation A ⊆ B to state that every element of one set also belongs to another. It works through two worked examples and the mistakes examiners report.