MA10-10 Maths Coming soon
Constructing Algebraic Proofs
MA10-10
This lesson is coming soon.
In this lesson
Construct an algebraic proof of a general statement by representing the unknowns correctly and carrying the algebra through to the required conclusion.
What it covers
- Representing a general algebraic statement correctly, especially 'consecutive' quantities (n, n+1, n+2 and variants)
- Carrying the algebra through to the required conclusion (e.g. showing an expression is always a multiple of some number)
- Understanding why one or two numerical examples cannot substitute for a general algebraic proof
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Edexcel IGCSE 4MA1
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A6 | Know the difference between an equation and an identity |
| Edexcel GCSE 1MA1 | A6 | Know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments |
| Eduqas GCSE C300 | HA6 | Know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments and proofs |
| OCR GCSE J560 | 6.01a | Understand and use the concepts and vocabulary of expressions, equations, formulae, inequalities, terms and factors. |
| Edexcel IGCSE 4MA1 | H2.2E | Use algebra to support and construct proofs |
For teachers
This GCSE Maths lesson teaches constructing algebraic proofs. By the end, students should be able to construct an algebraic proof of a general statement by representing the unknowns correctly and carrying the algebra through to the required conclusion. It works through two worked examples and the mistakes examiners report.