Year 9
Quadratic contexts
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Lesson details
Key learning points
- In this lesson, we will explore different situations that can be modelled by quadratics.
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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5 Questions
Q1.
Tick the equation that, when plotted, would form a quadratic graph.
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707138176%2Fnolwvc6mxsh7edsfdo8u.png&w=1200&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707199386%2Fjrggwcloyhs9b63vy7ik.png&w=1200&q=75)
Option 2
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707201608%2Fnbodkhtkqqyi5rbdshsc.png&w=1080&q=75)
Option 3
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707203399%2Fcd4fwelhelfr89p7e8nm.png&w=1080&q=75)
Option 4
Q2.
What value would go where the heart is?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707171302%2Fkx1tlmrjteyauexsu14c.png&w=1920&q=75)
-10
-25
10
Q3.
What value would go where the heart is?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707171310%2Fw0i2pwy1cqkskqldacyt.png&w=1920&q=75)
-1
-3
-4
2
Q4.
What value would go where the heart is?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707171312%2Fwokx5rbowcfejw0yvhhq.png&w=1920&q=75)
3
4
5
Q5.
Complete the tables below and plot the graphs. Select a co-ordinate the graphs have in common.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707171315%2Fubnefzlu6bfp66zimstq.png&w=1920&q=75)
(-2,4)
(0,1)
(1,-1)
(1,1)
5 Questions
Q1.
Select the word that best fills in the gap: Sometimes ___________ can be used to model situations.
expanding
factorisation
mathematical contexts
Q2.
"I think of two numbers with a difference of 3 and multiply them together." Which expression bests represents the statement?
3x
3x + 3
x - 3
Q3.
A square is cut out of the rectangle. Give an expression for the area.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166003%2Fscawnshtlyptffcsztrv.png&w=384&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137662%2Fcjuxs6ixlkziuu6zlxug.png&w=1080&q=75)
Option 1
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707139161%2Fhsr4cai2mqztonykkmb2.png&w=640&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707140224%2Fkllipcnldcq39mnz90jc.png&w=640&q=75)
Option 3
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707140988%2Fd9z1zyofapu0uiklwle7.png&w=1080&q=75)
Option 4
Q4.
A square is cut out of the rectangle. What is the maximum area?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166014%2Fyntxyqxwqzrasbtujwgz.png&w=384&q=75)
60 cm²
62 cm²
80 cm²
Q5.
A square is cut out of the rectangle. What is the minimum area?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166016%2Fswvlagdb80ysqot6vqrr.png&w=384&q=75)
0 cm²
16 cm²
4 cm²
64 cm²