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maths

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Mind Map on maths, created by j-lincs on 08/04/2014.
j-lincs
Mind Map by j-lincs, updated more than 1 year ago
j-lincs
Created by j-lincs about 10 years ago
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Resource summary

maths
  1. number
    1. prime factors
      1. square number and cubes
        1. bidmas
          1. index laws
            1. using a calculator
            2. expressions and sequences
              1. collecting like terms
                1. substitution
                  1. index laws
                    1. fractional and negative powers
                      1. term to term rule

                        Annotations:

                        • the difference between each value in the sequence
                        1. nth term
                        2. fractions
                          1. adding and subtracting fractions
                            1. multiplying fractions and mixed numbers
                              1. dividing fractions and mixed numbers
                              2. decimals
                                1. convering to fractions
                                  1. arthimetic using decimals
                                    1. rounding decimals
                                      1. significant figures
                                        1. estimates with decimals
                                          1. manipulating decimals
                                            1. convert recurring into fractions
                                              1. upper and lower bounds
                                                1. bounds of an expression
                                                2. angles and polygons
                                                  1. angle properties of parallel lines
                                                    1. proving angles of triangles and quadrilaterals
                                                      1. using abges of triangles and quadrilaterasl
                                                        1. angles of elevation and depression
                                                          1. bearings
                                                            1. using angles to solve problems
                                                              1. polygons
                                                              2. collecting data
                                                                1. stratified sampling
                                                                  1. questionnaires
                                                                    1. two ways tables
                                                                      1. sources of bias
                                                                        1. secondary data
                                                                        2. measure
                                                                          1. converting units
                                                                            1. compound measures
                                                                              1. speed
                                                                                1. density
                                                                                2. congruency, symmetry, similarity
                                                                                  1. congruent triangles
                                                                                    1. symmetry in 2d shapes
                                                                                      1. symmetry in special shapes
                                                                                        1. recognising similar shapes
                                                                                          1. similar triangles
                                                                                          2. expanding and factorising
                                                                                            1. expanding brackets
                                                                                              1. factorising by taing out common factors
                                                                                                1. expanding product of 2 brackets
                                                                                                  1. factorising quadratics
                                                                                                  2. area and volume
                                                                                                    1. cicumference of a circle
                                                                                                      1. area of triangle, paralleograms and trapeziums
                                                                                                        1. draw 3D shapes
                                                                                                          1. elevation and plans
                                                                                                            1. volume of a cuboid
                                                                                                              1. volume of a prism
                                                                                                                1. volume of a cylinder
                                                                                                                  1. sectors of circles
                                                                                                                    1. units of area
                                                                                                                      1. volume of a pyramid and cone
                                                                                                                        1. volume of a sphere
                                                                                                                          1. surface area of a prism
                                                                                                                            1. coordinates of 3D
                                                                                                                              1. problems involving circles in terms of pi
                                                                                                                              2. average and range
                                                                                                                                1. Mode
                                                                                                                                  1. mean
                                                                                                                                    1. median
                                                                                                                                      1. using 3 types of averages
                                                                                                                                        1. frequency tables to find average
                                                                                                                                          1. modal class and median of grouped data
                                                                                                                                            1. estimate mean group of data
                                                                                                                                              1. range, quartiles and interquartiles
                                                                                                                                              2. constructions and loci
                                                                                                                                                1. constructing triangles
                                                                                                                                                  1. perpendicular lines
                                                                                                                                                    1. construct and bisect angles
                                                                                                                                                      1. loci
                                                                                                                                                        1. regions
                                                                                                                                                          1. scale drawings and maps
                                                                                                                                                          2. linear equations
                                                                                                                                                            1. solve simple equations
                                                                                                                                                              1. solve equations with brackets
                                                                                                                                                                1. solve equations with unknown on both sides
                                                                                                                                                                  1. solve equations containing fractions
                                                                                                                                                                    1. set up and solve simple linear equations
                                                                                                                                                                      1. diference between equation, formula and expression
                                                                                                                                                                      2. percentages
                                                                                                                                                                        1. working out percentage of a quantity
                                                                                                                                                                          1. new amount of percentage increase or decrease
                                                                                                                                                                            1. compund interest
                                                                                                                                                                              1. reverse percentages
                                                                                                                                                                              2. graphs
                                                                                                                                                                                1. midpoint of a line segment
                                                                                                                                                                                  1. gradient and y-intercept of a straight line
                                                                                                                                                                                    1. y=mx+c
                                                                                                                                                                                      1. parallel and prependicular line
                                                                                                                                                                                        1. real life graphs
                                                                                                                                                                                          1. draw straight line by plotting points
                                                                                                                                                                                          2. ratio and proportion
                                                                                                                                                                                            1. simple ratio
                                                                                                                                                                                              1. solving ratio problems
                                                                                                                                                                                                1. sharing a quanitty in a given ratio
                                                                                                                                                                                                  1. use direct proportion
                                                                                                                                                                                                    1. inverse proportion
                                                                                                                                                                                                      1. writing statements of proportionality and formulae
                                                                                                                                                                                                        1. problems involving square and cubis proportionality
                                                                                                                                                                                                          1. problems involving inverse proportion
                                                                                                                                                                                                          2. transormations
                                                                                                                                                                                                            1. using translations
                                                                                                                                                                                                              1. transform shapes using reflection
                                                                                                                                                                                                                1. transfrom shapes using rotation
                                                                                                                                                                                                                  1. enlargements and scale factors
                                                                                                                                                                                                                    1. contributions of transformations
                                                                                                                                                                                                                    2. processing and interpreting data
                                                                                                                                                                                                                      1. producing pie charts
                                                                                                                                                                                                                        1. stem and leaf
                                                                                                                                                                                                                          1. bar charts
                                                                                                                                                                                                                            1. histograms
                                                                                                                                                                                                                              1. draw and use polygons
                                                                                                                                                                                                                                1. draw and use histograms with unequal class intervals
                                                                                                                                                                                                                                  1. draw and use cummulative frequency graphs
                                                                                                                                                                                                                                    1. find quartiles from cummulative frequency
                                                                                                                                                                                                                                      1. draw and interpret box polts
                                                                                                                                                                                                                                      2. inequalities and formulae
                                                                                                                                                                                                                                        1. represent equalities on a number line
                                                                                                                                                                                                                                          1. solveinequalities with 1 variable
                                                                                                                                                                                                                                            1. find integer solution to inequalities with 1 variable
                                                                                                                                                                                                                                              1. solve graphically several inequalities with 2 variables
                                                                                                                                                                                                                                                1. using formulae
                                                                                                                                                                                                                                                  1. deriving an algebraic formula
                                                                                                                                                                                                                                                    1. change the subject of the formula
                                                                                                                                                                                                                                                      1. change the subject of a complex formulae
                                                                                                                                                                                                                                                      2. pythagorus theroem and trogonometry
                                                                                                                                                                                                                                                        1. pythagorus theorem
                                                                                                                                                                                                                                                          1. apply pythagorus theorem
                                                                                                                                                                                                                                                            1. fiind the length of a line segment
                                                                                                                                                                                                                                                              1. trigonometry in a right angled triangle
                                                                                                                                                                                                                                                                1. lengths of sides using trigonometry
                                                                                                                                                                                                                                                                  1. 3D
                                                                                                                                                                                                                                                                    1. angle between a line and a plane
                                                                                                                                                                                                                                                                      1. trigonometric ratios for any angle
                                                                                                                                                                                                                                                                        1. find the area of a triangle using 1/2absinc
                                                                                                                                                                                                                                                                          1. the sine rule
                                                                                                                                                                                                                                                                            1. using the sine rule to calculate an angle
                                                                                                                                                                                                                                                                            2. the cosine rule
                                                                                                                                                                                                                                                                              1. using the cosine rule to calculate and angle
                                                                                                                                                                                                                                                                              2. use trigonometry to solve problems
                                                                                                                                                                                                                                                                              3. equations
                                                                                                                                                                                                                                                                                1. solve simulaneous equations
                                                                                                                                                                                                                                                                                  1. setting up equations with 2 unknowns
                                                                                                                                                                                                                                                                                    1. using graps to solve simultaneous equations
                                                                                                                                                                                                                                                                                      1. solve quadratics by factorising
                                                                                                                                                                                                                                                                                        1. completing the square
                                                                                                                                                                                                                                                                                          1. solve quadratics by completing the square
                                                                                                                                                                                                                                                                                            1. solve quadratics using the formula
                                                                                                                                                                                                                                                                                              1. solve fraction equations leadin to quadratics
                                                                                                                                                                                                                                                                                                1. set up and slove quadratics
                                                                                                                                                                                                                                                                                                  1. construct graphs of simple loci
                                                                                                                                                                                                                                                                                                    1. solve when one is linear and one quadratic
                                                                                                                                                                                                                                                                                                      1. solve when one in linear and one a circle
                                                                                                                                                                                                                                                                                                      2. indices, standard form and surds
                                                                                                                                                                                                                                                                                                        1. using zero and negative powers
                                                                                                                                                                                                                                                                                                          1. using standard form
                                                                                                                                                                                                                                                                                                            1. fractional indices
                                                                                                                                                                                                                                                                                                              1. surds
                                                                                                                                                                                                                                                                                                              2. line diagrams and scatter graphs
                                                                                                                                                                                                                                                                                                                1. draw and use line graphs
                                                                                                                                                                                                                                                                                                                  1. draw and use scatter graphs
                                                                                                                                                                                                                                                                                                                    1. recognise correlation
                                                                                                                                                                                                                                                                                                                      1. line of best fit
                                                                                                                                                                                                                                                                                                                        1. use lines of best fit to make predictions
                                                                                                                                                                                                                                                                                                                        2. similar shapes
                                                                                                                                                                                                                                                                                                                          1. area of similar shapes
                                                                                                                                                                                                                                                                                                                            1. volumes of similar shapes
                                                                                                                                                                                                                                                                                                                              1. lengths, areas and volumes of similar shapes
                                                                                                                                                                                                                                                                                                                              2. probability
                                                                                                                                                                                                                                                                                                                                1. writing probability as numbers
                                                                                                                                                                                                                                                                                                                                  1. mutually exclusive outcomes
                                                                                                                                                                                                                                                                                                                                    1. estimate probability from relative frequency
                                                                                                                                                                                                                                                                                                                                      1. finding the expected number of outcomes
                                                                                                                                                                                                                                                                                                                                        1. independant events
                                                                                                                                                                                                                                                                                                                                          1. probability tree diagrams
                                                                                                                                                                                                                                                                                                                                            1. conditional probability
                                                                                                                                                                                                                                                                                                                                            2. transformations of functions
                                                                                                                                                                                                                                                                                                                                              1. using function notation
                                                                                                                                                                                                                                                                                                                                                1. translations on a curve parallel to the axis
                                                                                                                                                                                                                                                                                                                                                  1. stretching a curve parallel to the axis
                                                                                                                                                                                                                                                                                                                                                    1. rotation about the origin and reflection in the axis
                                                                                                                                                                                                                                                                                                                                                    2. circle geometry
                                                                                                                                                                                                                                                                                                                                                      1. isoceles triangle in a circle
                                                                                                                                                                                                                                                                                                                                                        1. tangents to a circle
                                                                                                                                                                                                                                                                                                                                                          1. circle theorems
                                                                                                                                                                                                                                                                                                                                                            1. more circle theorems
                                                                                                                                                                                                                                                                                                                                                            2. adding fractions and algebraic proof
                                                                                                                                                                                                                                                                                                                                                              1. simplify algebraic fractions
                                                                                                                                                                                                                                                                                                                                                                1. add and subtract algebraic fractions
                                                                                                                                                                                                                                                                                                                                                                  1. multiplying and dividing algebraic fractions
                                                                                                                                                                                                                                                                                                                                                                    1. algebraic proof
                                                                                                                                                                                                                                                                                                                                                                    2. vectors
                                                                                                                                                                                                                                                                                                                                                                      1. vectors and notation
                                                                                                                                                                                                                                                                                                                                                                        1. the magnitude of a vector
                                                                                                                                                                                                                                                                                                                                                                          1. addition of vectors
                                                                                                                                                                                                                                                                                                                                                                            1. parallel vectors
                                                                                                                                                                                                                                                                                                                                                                              1. solving geometric problems in 2D
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