# Surds from tilted squares

In this lesson, we will explore how to express side lengths of squares in surd form by working backwards from their area.

#### 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.What is the area of the square shown below, in square unit?

1/5

Q2.Which is not a strategy for finding the area of a square on a grid?

2/5

Q3.What is the area of the square shown below, in square unit?

3/5

Q4.What is the area of the square shown below, in square unit?

4/5

Q5.What is the area of the square shown below, in square unit?

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.What is the area of the square shown below, in square unit?

1/5

Q2.Which is not a strategy for finding the area of a square on a grid?

2/5

Q3.What is the area of the square shown below, in square unit?

3/5

Q4.What is the area of the square shown below, in square unit?

4/5

Q5.What is the area of the square shown below, in square unit?

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:

# Surds from tilted squares

Exit Quiz

Q1.Which of the values shown below is a surd?

1/7

Q2.What is the area of the tilted green square, in square units?

2/7

Q3.What's the area of the square below, in square units?

3/7

Q4.What's the length of one side of the square shown below?

4/7

Q5.What's the area of the square below, in square units?

5/7

Q6.What's the length of one side of the square shown below?

6/7

Q7.Which of the following squares has a surd side length?

7/7

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

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

# Surds from tilted squares

Exit Quiz

Q1.Which of the values shown below is a surd?

1/7

Q2.What is the area of the tilted green square, in square units?

2/7

Q3.What's the area of the square below, in square units?

3/7

Q4.What's the length of one side of the square shown below?

4/7

Q5.What's the area of the square below, in square units?

5/7

Q6.What's the length of one side of the square shown below?

6/7

Q7.Which of the following squares has a surd side length?

7/7

# Lesson summary: Surds from tilted squares

## Time to move!

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

For 5 mins...

Move around:
Climb stairs

On the spot:
Dance