Problem solving with functions and proof
I can use my knowledge of functions and proof to solve problems.
Problem solving with functions and proof
I can use my knowledge of functions and proof to solve problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- In order to prove something, you may need to use any of your maths skills and knowledge.
- It is important to define any algebraic expressions at the start of a proof.
- This is so it is clear what cases you are proving.
Keywords
Function - A function is a mathematical relationship that uniquely maps values of one set to the values of another set.
Expression - An expression contains one or more terms, where each term is separated by an operator.
Common misconception
Pupils may struggle with showing why the false proofs are false.
Checking what each variable represents will help pupils see why each of the 'proofs' do not work.
To help you plan your year 11 maths lesson on: Problem solving with functions and proof, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Problem solving with functions and proof, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Functions and proof unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions
Exit quiz
6 Questions

