12 min read
Introduction
Sets group things clearly; functions turn inputs into outputs. Start with a real grouping problem.
Who Gets the Email?
A school wants to email every pupil who takes Maths or Science, but not send the same message twice to someone who takes both.
That is a set problem: two groups, an overlap, and a clear list of who is in which group. Later, when a mark calculator turns a raw score into a grade the same way every time, that is a function.
Sets organise collections. Functions apply a reliable rule from input to output.
Example 1 — Overlap
Maths = {Amira, Ben, Chi} Science = {Ben, Chi, Elena}
Pupils in Maths or Science (union): {Amira, Ben, Chi, Elena} Pupils in both (intersection): {Ben, Chi}
What You Will Practise
You will learn set notation, Venn diagrams, union and intersection, then functions: domain, range, evaluating, composites, inverses, and graphs.
Practice
More lessons in Sets and Functions · Next: What Is a Set?
