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Maths Revision : - Coggle Diagram
Maths Revision :
Multiplicative Change
Draw and interpret scale diagrams
The car image is 10cm
Image - 1:30 - Real life - 10:300
A picture of a car is drawn with a scale of 1:30
For every 1cm on my image is
30cm in real life
Understand Scale Factor
Use corresponding sides to calculate a scale factor
Scale factor can also
be calculated by:
Bigger corresponding side
(over)
Smaller corresponding side
Direct Proportion
As one variable changes the other changes at
the same rate.
This is a multiplicative change
Sometimes this is the easiest way if you work out how much one unit is worth first
Interpret maps with scale factors
The conversion between measurements - Used for mapping (sometimes)
Ratio and Scale
Finding a value given 1:n (or n:1)
Inside a box are blue and red pens in the ration 5:1. If there are 10 red pens how many blue pens are there
5:1 = ?:10
5:1 = 50:10
1 x 10 = 10. 5 x 10= 50
Order is Important
The ratio has to be written in the same order as the information is given
For every dog there are two cats - Dogs:Cats - 1:2
Ratio 1:n (or n:1)
Show the ratio 4:20 in the ratio of 1:n
4:20 = 1:5
This is asking you to cancel down until the part
indicated represents 1
Ratio as a fraction
Trees : Flowers = 3 : 7
3 parts trees + 7 parts flowers = 10 parts whole
Parts for trees - 3/10. Parts for flowers - 7/10
Representing Data
Draw and interpret a scatter graph.
The data forms information pairs for the scatter graph
Not all data has a relationship
Linear Correlation
Negative Correlation
As one variable increases the other variable decreases
Positive Correlation
As one variable increases so does the other variable
No Correlation
There is no relationship between the two variables
The line of best fit
The line of best fit
DOES NOT
need to
go through the origin
It is always a straight line.
Working in the Cartesian plane
Coordinates in four quadrants
(0,a)
Will be always be a point
on the y axis. (a can be any number)
(a.0)
Will be always be a point
on the x axis. (a can be any number)
Recognise and use the line y=x
Examples of coordinates on the line y=x - (3,3), (8,8)
This means that the x and y coordinate have the same value
Recognise and use the lines y=kx
The value of k changes the steepness
of the line
The line will
always
go
through (0,0)
