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Lesson details

Key learning points

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

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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6 Questions

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=0
x intercept, y=0
Correct answer: y intercept, x=0
y intercept, y=0
Q2.
What are the coordinates of where y= x² + 14x + 24 crosses the y axis?
(0, 10)
(0, 14)
Correct answer: (0, 24)
(24, 0)
24
Q3.
Where does y = x² - 3x - 10 cross the y axis?
(-3, -10)
Correct answer: (0, -10)
(10, 3)
(3, 10)
Q4.
Which graph could be a sketch of y=(x+4)(x-3)?
An image in a quiz
Option A
Option B
Option C
Correct answer: Option D
Q5.
Which graph could be a sketch of -x² + 3x - 2? Hint Try out some coordinates to check!
An image in a quiz
Option A
Option B
Correct answer: Option C
Option D
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 wil cross the x axis only.
Zaki is incorrect the curve will cross BOTH axes.
Correct answer: Zaki is incorrect the curve will cross the y axis only.

6 Questions

Q1.
Which of the following could represent 3 consecutive integers?
n, 2n, 3n
Correct answer: n, n+1, n+2
n, n+3, n+6
None of the above,
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)- 3²
(4 x 3)- 4²
3² - (4 x 3)
Correct answer: 4² - (4 x 3)
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 a cube number.
The answer is always bigger than both of the original numbers.
Correct answer: The answer is always the square of one less than one of the original numbers.
The answer is always the square of one of the original numbers.
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?
Correct answer: (n+1)² - 4n
4(n+1)- n²
4n- (n+1)²
n² - 4(n+1)
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?
(n-1)² - 4(n+1)
(n-1)² - 4n
4n- (n-1)²
Correct answer: n² - 4(n-1)
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?
An image in a quiz
Correct answer: Alex and Steven are both correct.
Alex and Steven are both incorrect.
Just Alex is correct.
Just Steven is correct

Lesson appears in

UnitMaths / Quadratic expressions (9.9)