Tutorial
GCSE Maths: Algebraic Proof
Learn the language and structure of algebraic proof, including how to prove results involving consecutive numbers, odd and even numbers.
Tutorial
GCSE Maths: Algebraic Proof
Learn the language and structure of algebraic proof, including how to prove results involving consecutive numbers, odd and even numbers.
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Deck Contents
20 CardsLesson#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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