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 _______.

x intercept, x=0y intercept, x=0y intercept, y=0x intercept, y=0

1/6

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

24(0, 24)(0, 10)(24, 0)(0, 14)

2/6

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

(3, 10)(10, 3)(-3, -10)(0, -10)

3/6

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

Option AOption BOption COption D

4/6

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

Option AOption BOption COption D

5/6

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

Zaki is correct, the curve will never cross either axes.Zaki is incorrect the curve will cross the y axis only.Zaki is incorrect the curve wil cross the x axis only.Zaki is incorrect the curve will cross BOTH axes.

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 _______.

x intercept, x=0y intercept, x=0y intercept, y=0x intercept, y=0

1/6

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

24(0, 24)(0, 10)(24, 0)(0, 14)

2/6

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

(3, 10)(10, 3)(-3, -10)(0, -10)

3/6

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

Option AOption BOption COption D

4/6

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

Option AOption BOption COption D

5/6

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

6/6

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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?

n, 2n, 3nn, n+3, n+6n, n+1, n+2None of the above,

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?

(4 x 3)- 4²4² - (4 x 3)(4 x 3)- 3²3² - (4 x 3)

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?

The answer is always bigger than both of the original numbers.The answer is always the square of one of the original numbers.The answer is always the square of one less than one of the original numbers.The answer is always a cube number.

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?

(n+1)² - 4n4(n+1)- n²4n- (n+1)²n² - 4(n+1)

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?

4n- (n-1)²(n-1)² - 4(n+1)n² - 4(n-1)(n-1)² - 4n

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?

Just Alex is correct.Just Steven is correctAlex and Steven are both correct.Alex and Steven are both incorrect.

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?

n, 2n, 3nn, n+3, n+6n, n+1, n+2None of the above,

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?

(4 x 3)- 4²4² - (4 x 3)(4 x 3)- 3²3² - (4 x 3)

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?

(n+1)² - 4n4(n+1)- n²4n- (n+1)²n² - 4(n+1)

4/6

4n- (n-1)²(n-1)² - 4(n+1)n² - 4(n-1)(n-1)² - 4n

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?

Just Alex is correct.Just Steven is correctAlex and Steven are both correct.Alex and Steven are both incorrect.

6/6

Lesson summary: Interesting quadratic patterns

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

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