Interesting quadratic patterns

In this lesson, we will explore different patterns related to quadratics and square numbers.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

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

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

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

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Worksheet

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Quadratic Patterns 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

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Quadratic Patterns 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

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Time to move!

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

For 5 mins...

Move around:
Walk

On the spot:
Chair yoga

This was the final lesson in the unit Quadratic expressions (9.9).

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