# maths

Mind Map by j-lincs, updated more than 1 year ago
 Created by j-lincs about 6 years ago
40
1

### Description

Mind Map on maths, created by j-lincs on 04/08/2014.

## Resource summary

maths
1 number
1.1 prime factors
1.2 square number and cubes
1.3 bidmas
1.4 index laws
1.5 using a calculator
2 expressions and sequences
2.1 collecting like terms
2.2 substitution
2.3 index laws
2.4 fractional and negative powers
2.5 term to term rule

Annotations:

• the difference between each value in the sequence
2.6 nth term
3 fractions
3.2 multiplying fractions and mixed numbers
3.3 dividing fractions and mixed numbers
4 decimals
4.1 convering to fractions
4.2 arthimetic using decimals
4.3 rounding decimals
4.4 significant figures
4.5 estimates with decimals
4.6 manipulating decimals
4.7 convert recurring into fractions
4.8 upper and lower bounds
4.9 bounds of an expression
5 angles and polygons
5.1 angle properties of parallel lines
5.2 proving angles of triangles and quadrilaterals
5.3 using abges of triangles and quadrilaterasl
5.4 angles of elevation and depression
5.5 bearings
5.6 using angles to solve problems
5.7 polygons
6 collecting data
6.1 stratified sampling
6.2 questionnaires
6.3 two ways tables
6.4 sources of bias
6.5 secondary data
7 measure
7.1 converting units
7.2 compound measures
7.3 speed
7.4 density
8 congruency, symmetry, similarity
8.1 congruent triangles
8.2 symmetry in 2d shapes
8.3 symmetry in special shapes
8.4 recognising similar shapes
8.5 similar triangles
9 expanding and factorising
9.1 expanding brackets
9.2 factorising by taing out common factors
9.3 expanding product of 2 brackets
10 area and volume
10.1 cicumference of a circle
10.2 area of triangle, paralleograms and trapeziums
10.3 draw 3D shapes
10.4 elevation and plans
10.5 volume of a cuboid
10.6 volume of a prism
10.7 volume of a cylinder
10.8 sectors of circles
10.9 units of area
10.10 volume of a pyramid and cone
10.11 volume of a sphere
10.12 surface area of a prism
10.13 coordinates of 3D
10.14 problems involving circles in terms of pi
11 average and range
11.1 Mode
11.2 mean
11.3 median
11.4 using 3 types of averages
11.5 frequency tables to find average
11.6 modal class and median of grouped data
11.7 estimate mean group of data
11.8 range, quartiles and interquartiles
12 constructions and loci
12.1 constructing triangles
12.2 perpendicular lines
12.3 construct and bisect angles
12.4 loci
12.5 regions
12.6 scale drawings and maps
13 linear equations
13.1 solve simple equations
13.2 solve equations with brackets
13.3 solve equations with unknown on both sides
13.4 solve equations containing fractions
13.5 set up and solve simple linear equations
13.6 diference between equation, formula and expression
14 percentages
14.1 working out percentage of a quantity
14.2 new amount of percentage increase or decrease
14.3 compund interest
14.4 reverse percentages
15 graphs
15.1 midpoint of a line segment
15.2 gradient and y-intercept of a straight line
15.3 y=mx+c
15.4 parallel and prependicular line
15.5 real life graphs
15.6 draw straight line by plotting points
16 ratio and proportion
16.1 simple ratio
16.2 solving ratio problems
16.3 sharing a quanitty in a given ratio
16.4 use direct proportion
16.5 inverse proportion
16.6 writing statements of proportionality and formulae
16.7 problems involving square and cubis proportionality
16.8 problems involving inverse proportion
17 transormations
17.1 using translations
17.2 transform shapes using reflection
17.3 transfrom shapes using rotation
17.4 enlargements and scale factors
17.5 contributions of transformations
18 processing and interpreting data
18.1 producing pie charts
18.2 stem and leaf
18.3 bar charts
18.4 histograms
18.5 draw and use polygons
18.6 draw and use histograms with unequal class intervals
18.7 draw and use cummulative frequency graphs
18.8 find quartiles from cummulative frequency
18.9 draw and interpret box polts
19 inequalities and formulae
19.1 represent equalities on a number line
19.2 solveinequalities with 1 variable
19.3 find integer solution to inequalities with 1 variable
19.4 solve graphically several inequalities with 2 variables
19.5 using formulae
19.6 deriving an algebraic formula
19.7 change the subject of the formula
19.8 change the subject of a complex formulae
20 pythagorus theroem and trogonometry
20.1 pythagorus theorem
20.2 apply pythagorus theorem
20.3 fiind the length of a line segment
20.4 trigonometry in a right angled triangle
20.5 lengths of sides using trigonometry
20.6 3D
20.7 angle between a line and a plane
20.8 trigonometric ratios for any angle
20.9 find the area of a triangle using 1/2absinc
20.10 the sine rule
20.10.1 using the sine rule to calculate an angle
20.11 the cosine rule
20.11.1 using the cosine rule to calculate and angle
20.12 use trigonometry to solve problems
21 equations
21.1 solve simulaneous equations
21.2 setting up equations with 2 unknowns
21.3 using graps to solve simultaneous equations
21.5 completing the square
21.6 solve quadratics by completing the square
21.7 solve quadratics using the formula
21.9 set up and slove quadratics
21.10 construct graphs of simple loci
21.11 solve when one is linear and one quadratic
21.12 solve when one in linear and one a circle
22 indices, standard form and surds
22.1 using zero and negative powers
22.2 using standard form
22.3 fractional indices
22.4 surds
23 line diagrams and scatter graphs
23.1 draw and use line graphs
23.2 draw and use scatter graphs
23.3 recognise correlation
23.4 line of best fit
23.5 use lines of best fit to make predictions
24 similar shapes
24.1 area of similar shapes
24.2 volumes of similar shapes
24.3 lengths, areas and volumes of similar shapes
25 probability
25.1 writing probability as numbers
25.2 mutually exclusive outcomes
25.3 estimate probability from relative frequency
25.4 finding the expected number of outcomes
25.5 independant events
25.6 probability tree diagrams
25.7 conditional probability
26 transformations of functions
26.1 using function notation
26.2 translations on a curve parallel to the axis
26.3 stretching a curve parallel to the axis
26.4 rotation about the origin and reflection in the axis
27 circle geometry
27.1 isoceles triangle in a circle
27.2 tangents to a circle
27.3 circle theorems
27.4 more circle theorems
28 adding fractions and algebraic proof
28.1 simplify algebraic fractions
28.2 add and subtract algebraic fractions
28.3 multiplying and dividing algebraic fractions
28.4 algebraic proof
29 vectors
29.1 vectors and notation
29.2 the magnitude of a vector
29.4 parallel vectors
29.5 solving geometric problems in 2D

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