In this lesson, we will explore different patterns related to quadratics and square 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.Select the words that best fill in the gaps in order: The __________ is where the curve crosses the y axis, when _______.

1/6

Q2.What are the coordinates of where y= x² + 14x + 24 crosses the y axis?

2/6

Q3.Where does y = x² - 3x - 10 cross the y axis?

3/6

Q4.Which graph could be a sketch of y=(x+4)(x-3)?

4/6

Q5.Which graph could be a sketch of -x² + 3x - 2? Hint Try out some coordinates to check!

5/6

Q6.Zaki says y = x² + 1 will never cross either axes. Is that correct?

6/6

#### 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.Select the words that best fill in the gaps in order: The __________ is where the curve crosses the y axis, when _______.

1/6

Q2.What are the coordinates of where y= x² + 14x + 24 crosses the y axis?

2/6

Q3.Where does y = x² - 3x - 10 cross the y axis?

3/6

Q4.Which graph could be a sketch of y=(x+4)(x-3)?

4/6

Q5.Which graph could be a sketch of -x² + 3x - 2? Hint Try out some coordinates to check!

5/6

Q6.Zaki says y = x² + 1 will never cross either axes. Is that correct?

6/6

# 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:

Have a go at the questions below to show off what you know!

Q1.Which of the following could represent 3 consecutive integers?

1/6

Q2.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Which example could be my calculation?

2/6

Q3.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Write out some examples of these. What do you notice about the answers?

3/6

Q4.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Which example could be an algebraic representation of this situation?

4/6

Q5.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Zaki writes a different algebraic expression to me but is still correct. Which one could he have written?

5/6

Q6.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Alex and Steven have both tried to generalise my pattern. Who is correct?

6/6

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

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

Have a go at the questions below to show off what you know!

Q1.Which of the following could represent 3 consecutive integers?

1/6

Q2.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Which example could be my calculation?

2/6

Q3.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Write out some examples of these. What do you notice about the answers?

3/6

Q4.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Which example could be an algebraic representation of this situation?

4/6

Q5.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Zaki writes a different algebraic expression to me but is still correct. Which one could he have written?

5/6

Q6.I pick two consecutive integers. I square the bigger one and then subtract 4 of the smaller one. Alex and Steven have both tried to generalise my pattern. Who is correct?

6/6

# Lesson summary: Interesting quadratic patterns

## Time to move!

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

For 5 mins...

Move around:
Jog

On the spot:
Chair yoga