# Algebraic Proof

## Lesson details

### Key learning points

1. In this lesson, we will look at how we can use algebra to prove what happens to calculations with odd and even numbers.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
Is the value of 2n always odd, always even, or either?
Always Odd
Could be either
Q2.
Is the value of 4n - 2 always odd, always even, or either?
Always Odd
Could be either
Q3.
Is the value of 3n + 1 always odd, always even, or either?
Always Even
Always Odd
Q4.
What operation could I perform to 4n + 1 to make it always even?
Divide it by 2
Multiply it by 3
Nothing - it already is even.
Q5.
What operation could I perform to n + 4 to make it always even?
Divide it by 2
Multiply it by 3
Correct answer: Multiply it by 4
Nothing - it already is even.

## Exit quiz

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### 5 Questions

Q1.
What is the result of Odd + Odd + Even?
Odd
Q2.
What is the result of odd x even x odd?
Odd
Q3.
What is the result of 334543 + 554567 + 66567 + 55456 ?
Even
Q4.
What is the result of (odd x even) + (odd + even)
Even