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Level 7-8 Algebra - Graphs 01
When would you use a line graph?

Level 7-8 Algebra - Graphs 01

There are many aspects to algebra - quadratic equations, exponents and variables to name but a few. But what about graphs? Yes, they are also a part of algebra which you will study in KS3 Maths.

Graphs illustrate information that would be unwieldy in text form and act as visual shorthands for everyday concepts. There are many words, terms and expressions that relate to graphs. 'Intersect' and 'linear' for example. But what do they mean? If you want to understand the world of graphs then you are going to have to learn them all.

To help get you familiar with words and phrases used in graphs, we've come up with this quiz. In it we look at some of the terms you are likely to encounter. Let's see if you know what they mean. Take your time and think carefully before choosing your answers. And don't forget to read the helpful comments after each question. Good luck!

A part of a line is called what?
Line part
Line piece
Line portion
Line segment
Segments are between two points on a graph
If a curve on a graph is said to be 'symmetrical about the y axis', what would you expect?
Most of the curve to be in quadrant 2
Most of the curve to be in quadrant 1
None of the curve to be below the x axis
The left hand side to be a mirror image of the right hand side
The word symmetry means that one half mirrors the other half
Which of these could not be shown on a 'distance-time graph'?
The number of people on a journey
The speed during part of a journey
The time spent stationary during a journey
The total time taken for a journey
Distance-time graphs are sometimes called 'travel graphs'
What would you expect a 'conversion graph' to do?
Convert letters into numbers
Convert one unit to another
Convert you to become a lover of graphs
Convert your family to Buddhism
It might convert miles to kilometres, grams to ounces, etc.
This is an example of coordinates on a graph: (7, -9). To what do the figures refer?
Both numbers within brackets are on the same axis
Figures in brackets are always for the y axis
The x axis value, then the y axis value
The y axis value, then the x axis value
It is just SO IMPORTANT to remember this: 'x comes before y in the alphabet and the x axis figure comes before the y axis figure'
If a graph is described as 'quadratic' then what would you expect to see in the equation?
The squared sign: 2
The cubed sign: 3
The power of 4 sign: 4
Any exponent
An exponent is a small number placed to the upper-right of a number as in 32 or 45
When a graph is said to be 'linear' what would you expect?
Lines that are curved
Lines that are straight
No lines, just points that have been plotted
Numerous lines starting at the same point
The dictionary definition of 'linear' is: arranged in or extending along a straight or nearly straight line
What is the word that means to cross over?
The place where a line crosses over an axis is the place where it intersects the axis
What is the meaning of the word 'gradient'?
The length of a line
The starting-point of a line
The steepness of a slope
The width of a line
You will sometimes see references to the gradient of a line in a graph. If you were walking, then a 'steep gradient' would be difficult to walk up but a 'gentle gradient' would be easy to walk up
Working out the points on a graph and putting them in the right place is known as what?
You may have heard of ships' captains 'plotting their course'. This is marking down points on a map rather than a graph, but the principle is the same
You can find more about this topic by visiting BBC Bitesize - Graphs

Author:  Frank Evans

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