# Algebraic Proof

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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Is the value of 2n always odd, always even, or either?

1/5

Q2.Is the value of 4n - 2 always odd, always even, or either?

2/5

Q3.Is the value of 3n + 1 always odd, always even, or either?

3/5

Q4.What operation could I perform to 4n + 1 to make it always even?

4/5

Q5.What operation could I perform to n + 4 to make it always even?

5/5

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Is the value of 2n always odd, always even, or either?

1/5

Q2.Is the value of 4n - 2 always odd, always even, or either?

2/5

Q3.Is the value of 3n + 1 always odd, always even, or either?

3/5

Q4.What operation could I perform to 4n + 1 to make it always even?

4/5

Q5.What operation could I perform to n + 4 to make it always even?

5/5

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Algebraic Proof

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.What is the result of Odd + Odd + Even?

1/5

Q2.What is the result of odd x even x odd?

2/5

Q3.What is the result of 334543 + 554567 + 66567 + 55456 ?

3/5

Q4.What is the result of (odd x even) + (odd + even)

4/5

Q5.What is the result of (odd + odd) + (even x odd) + (even + odd + odd)

5/5

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Algebraic Proof

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.What is the result of Odd + Odd + Even?

1/5

Q2.What is the result of odd x even x odd?

2/5

Q3.What is the result of 334543 + 554567 + 66567 + 55456 ?

3/5

Q4.What is the result of (odd x even) + (odd + even)

4/5

Q5.What is the result of (odd + odd) + (even x odd) + (even + odd + odd)

5/5

# Lesson summary: Algebraic Proof

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Jog

On the spot:
Dance