Tutorial
In Course: GCSE Mathematics: Higher Tier (9-1)

GCSE Maths: Algebraic Proof

Learn the language and structure of algebraic proof, including how to prove results involving consecutive numbers, odd and even numbers.

A close-up photograph of a vintage fountain pen resting on a crisp sheet of paper covered in handwritten algebraic equations, with emphasis on the interplay between numbers and symbols. The lighting should be soft and academic, highlighting the texture of the paper and the details of the pen's nib, conveying the precision and elegance of mathematical proof.

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Deck Contents

20 Cards
Lesson#1
Welcome to algebraic proof. In maths, it's not enough to show something works for a few examples. A proof shows a statement is true for all possible numbers. In this deck, you'll learn how to use algebra to build these logical arguments.
Lesson#2
The building block for these proofs is the integer, which just means a whole number. We use a letter, usually 'n', to represent any integer.
Lesson#3
An even number is any number that's in the 2 times table, or in other words, a multiple of 2. Algebraically, we can write any even number as 2n, because no matter what integer 'n' is, multiplying it by 2 guarantees the result is even.
Quiz#4
What is the algebraic expression for any even number, using 'n' to represent an integer?

2n

Lesson#5
An odd number is always one more or one less than an even number. Since an even number is 2n, we can write any odd number as 2n plus 1.
Quiz#6
What is the algebraic expression for any odd number, using 'n' to represent an integer?

2n+1

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