Proving or disproving a statement
I can appreciate what constitutes the proof of a statement and what is required to disprove.
Proving or disproving a statement
I can appreciate what constitutes the proof of a statement and what is required to disprove.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Substituting values can reveal whether the conjecture is wrong.
- This is referred to as disproving.
- A proof requires all possible cases to be considered and accounted for.
Keywords
Conjecture - A conjecture is a (mathematical) statement that is thought to be true but has not been proved yet.
Generalise - To generalise is to formulate a statement or rule that applies correctly to all relevant cases.
Common misconception
A demonstration is a proof.
A demonstration shows that it works for that one specific case. A proof allows us to know all cases that are true.
To help you plan your year 11 maths lesson on: Proving or disproving a statement, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Proving or disproving a statement, 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.
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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
