# maths

- Created by: emelie1234
- Created on: 10-01-19 15:11

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- MATHS
- expand/factorise linear: factorise
- for an expression of the from a(b+c), expanded version is ab+ac
- i.e mutiply the term outside the bracket by evereyting inside the bracket

- for an expression of the form (a+b) (c+d) the expanded version is ac+ad+bc+bd
- everything in the first bracket should be mulitplied by everything in the 2nd

- factorising
- reverse of expanding brackets
- e,g, 2x2 +x-3 into the form (2x+3) (x-1)

- first step is to 'take out' any common factors which the terms have

- reverse of expanding brackets
- factorising quadratics
- diffrence of two squares
- if you are asked to factorize an expression which is one square minus another yuo can factorise it immdiately becuase a2+b2= (a+b) (a-b)

- for an expression of the from a(b+c), expanded version is ab+ac
- factors and prime: product of prime factors
- to find a product of a prime number do a prime factor tree and find the circled prime numbers and x them together
- e.g 2x2x2x2x5

- to find a product of a prime number do a prime factor tree and find the circled prime numbers and x them together
- pythagoras therom
- you are given the measurments for the hypotenus,c, and one leg,b , the hypotenus is always opposite the right angle and it is always the longest side of the triangle. to find the lenght of A substitute the known values into phythagoas therom
- phythagoras therom: a2 +b2 =c2

- venn diagrams: find intersection, union and not probability
- A n B means the overlap in the middle
- A U B means lookking at both circles

- data graphs: frequency polygons
- simultaneous equations: diffrent coefficients
- some pairs of simulaneous equaions may not have any common coefficents
- both equations may not have any common coefficients
- getting the/some of the same numbers/letters in equations
- e.g. 3a+2b=17 4a+b=30
- mutiply by 2 as bx2=2b which is then a coefficient

- e.g. 3a+2b=17 4a+b=30

- polygons: exterior angle between identical polygons
- if the side of a polygon is extended the angle fromed outisde the polygon is the exterior angle
- the sum of exterior angle is 360
- calculating the interior angles by working out how many traingles in shape
- example: a pentagon contains 3 trainagles so the interior angle sum is 180 x 3= 540

- bearings: use trigonometry to find bearing
- use the cosine rule when: you need to find a side and you know 2 sides and he included angle
- you need to find a angle and konw three sides

- use the sine rule when: you need to find a side and know one side and hree angles
- a bearing is the agle in degrees measured clockwise from north
- 3 figures always

- use the cosine rule when: you need to find a side and you know 2 sides and he included angle
- repeated percentages
- percentage change = difference/original

- rearranging fromula
- in order to change the subject of a formula items in fomula need to be rearranged so diffrent variable is subject
- the formula A=BH needs to be rearranged to make B subject of formula
- to make B subject of formula it needs to be isolated, the letter B is multiplied by H so divide H (both sides) to isolate B
- example: A=BH A/H BH/H A/H=B

- to make B subject of formula it needs to be isolated, the letter B is multiplied by H so divide H (both sides) to isolate B

- the formula A=BH needs to be rearranged to make B subject of formula

- in order to change the subject of a formula items in fomula need to be rearranged so diffrent variable is subject

- expand/factorise linear: factorise

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