Studied by 9 peoplewhat does A∩B mean
a intersection b meaning the section that a and b both share
what does A∪B mean
a union b meaning everything in side a and side b and both together
what does A’
all elements not A
on a number line, what do full circles represent
including that number
on a number line, what do empty circles represent
not including that number
in translation, what does the x and why stand for in (x/y)
x= horizontal movement, y=vertical movement
how to find a shapes centre of rotation
- join up two points that correlate
- do perpendicular bisectors
- where the bisectors meet is your centre of rotation
how to bisect an angle
- draw points on both sides of the angle
- open your compass and draw two arcs
- draw a line where the two points meet
how to draw bearings
- draw a north line
- use a protractor and bam
how to draw perpendicular bisectors
- draw the base line
- open the compass to more than half of the line, draw an arc
- repeat with exactly the same length on the other side
- draw a line up where the points meet
how to construct a triangle
- measure and draw the base
- open compass to the length of the side and draw the arc
- repeat for third side
- join where the arcs meet
what does m and c represent in y=mx+c
m= gradient, c= y intercept
how to find the gradient from coordinates
change in y / change in x
what are c shaped angles called, what is the rule
co-interior angles, add to 180
what are f shaped angles called, what is the rule
corresponding angles, they are equal
what are z shaped angles called, what is the rule
alternate angles, they are equal
what are the final ways angles can be explained
vertically opposite angles are equal
how do you plot a frequency polygon
- find the midpoint of the data set
- plot it against the frequency
- join all plots to make a polygon
how do you add and subtract in standard form
make everything to the same power, solve
how do you multiply and divide in standard form
place the regular numbers in one bracket and the 10^ in another, solve and simplify
negative fractional indices law
- flip the number that is being to the power of’d to iradicate the negative
- use the fractional indices law
fractional indices law
- the denomiator becomes the number on the outside of the root, the number being to the power of’d is inside the root
- work out
- this is then all to the power of the numerator
how do you find all possible possibilities of an event
multiply every single choices possible for each act
how to find HCF
-find prime factors of numbers
-only multiply the numbers that both sets of prime factors share
how to find LCM
-find prime factors of numbers
-multiply the numbers so that each set of number is accounted for, if the factors are both the same digit e.g 2, choose the one with the highest power
what are the four rules for proving congruency
SSS- side side side
SAS- side angle side
AAS- angle angle side
RHS- right angle, hypotenuse, side
how to find the coordinates of the turning point from the equation of a graph
complete the square and just use whatever is in the brackets to find x and whatever’s after e.g (x+4)^2 +3 so x=-4 and y=3
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