Square numbers KS4 maths lesson plan and task sheet

Key Stage



Years 10-11


Square numbers provide an interesting context for students to make conjectures and use algebra to prove them, says Colin Foster…

In this lesson, students examine how square numbers, and sums and differences of square numbers, relate to multiples of 4.

Modulus arithmetic is not used explicitly, but students are encouraged to make conjectures about what is possible and to prove these using simple algebra.

There are many opportunities for surprise and for students to see the power of algebra in establishing with certainty what must always happen for all numbers, no matter how large.

Download includes

  • Full PDF lesson plan
  • A task sheet containing empty number grids, intended to accompany the lesson

Square numbers KS4 maths lesson plan and task sheet

You'll also receive regular updates from Teachwire with free lesson plans, great new teaching ideas, offers and more. (You can unsubscribe at any time.)

Which sectors are you interested in?

By signing up you agree to our Terms & Conditions and privacy policy

Explore teaching packs

Pie Corbett Ultimate KS2 Fiction Collection
Pie Corbett Ultimate KS2 Fiction Collection
Fire up KS2 pupils' imagination with this collection of 20+ fictional stories, written by literacy expert Pie Corbett. Each ... more
21 x resources
Pie Corbett KS2 Non-Fiction Collection
Use Pie Corbett’s non-fiction texts to inspire your KS2 pupils to get writing. Each resource contains an original text in ... more
6 x resources
Pie Corbett KS2 Poetry Collection
Inspire KS2 pupils to be creative and express themselves with this pack of Pie Corbett poetry. Each of these Pie Corbett Tal... more
7 x resources
WAGOLL classroom resources
WAGOLL Packs from Real Authors
Peer inside the mind of award-winning children's authors and help pupils understand how to create engaging characters, capti... more
10 x resources
Art KS2 inspiring medium term plans
Art KS2 Inspiring Medium Term Plans
Get pupils' creative juices flowing with these expert medium-term art plans for KS2. Each resource consists of a full half-t... more
6 x resources
Magical Harry Potter Teaching Ideas
Magical Harry Potter Teaching Ideas
Spark pupils' imaginations with these inventive and exciting teaching ideas, all themed around the wonderful world of Harry ... more
11 x resources