Algebraic Proof

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

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!

Question 1

Question 2

Question 3

Question 4

Question 5

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

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!

Question 1

Question 2

Question 3

Question 4

Question 5

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

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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.

Quiz:

Algebraic Proof

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

Question 1

Question 2

Question 3

Question 4

Question 5

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

Quiz:

Algebraic Proof

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

Question 1

Question 2

Question 3

Question 4

Question 5

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

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This was the final lesson in the unit Algebra and problem solving.

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