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Maths GCSE Edexcel Higher Topics Checklist (By Sofia Angus)
Number Expanding Brackets and factorising
Prime Factors, LCM and HCF Expanding Brackets
BIDMAS Factorising by taking out common
Long Division factors
Expanding the product of two
Expressions and Sequences brackets
Nth Term Factorising quadratic expressions
Adding and Subtracting Indices
Fractional and Negative Indices Area and Volume
Area of triangles
Fractions Area of trapezium
Adding and Subtracting fractions and Area of Parallelogram
mixed numbers Perimeter and Area
Multiplying fractions and mixed Circumference and Area of circle
numbers Nets of 3D Shapes
Dividing fractions and mixed Elevation and plans
numbers Volume of cuboid
Volume of prism
Decimals and Estimation Volume of cylinder
Rounding to decimal place Volume of pyramid and cone
Understand significant figures Volume of sphere
Converting fractions to decimals Sector of circles
Estimating calculations by rounding Circles in terms of π
Units of Area
Angles and Polygons Surface area of prism
Angle properties of parallel lines: Coordinates in 3 dimension
Corresponding angles
Alternate angles Averages and Range
Proving angle properties of triangles Averages: Mode, Mean and Median
and quadrilaterals Frequency tables to find averages
Angles of elevation and depression Modal class, Median of grouped data
Bearings Estimating the mean of grouped data
Interior and Exterior angles of Range, quartiles and inter-quartile
polygons range
Collecting and recording data Constructions and Loci
Stratified Sampling Constructing triangles
Questionnaires Perpendicular Lines
Two-way table Constructing and bisecting angles
Sources of bias Loci
Secondary Data Regions
Measure Linear equations
Converting between units of measure Simple equations
Speed and Density Equations with brackets
Equations with unknown on both
sides
Congruence, symmetry and
Equations with fractions
similarity
Distinguishing between: equation,
Congruent triangles
formula, identity and expression
Symmetry in 2D shapes
Symmetry in special shapes eg. Percentages
rhombus, kite, parallelogram Percentage of a quantity
Recognising similar shapes Percentage increase and decrease
Similar triangles Compound interest
Calculating reverse percentages
, Stuvia.com - The Marketplace to Buy and Sell your Study Material
Maths GCSE Edexcel Higher Topics Checklist
Graphs
y = mx + c Pythagoras’ Theorem and
Parallel and perpendicular lines trigonometry
Distance/Time graph Pythagoras’ theorem
Graphs of quadratic functions Length of a line segment
Graphs of Cubic functions Trigonometry in right angled triangles
Graphs of reciprocal functions Working out lengths of sides using
Graphs of exponential functions trigonometry
Finding the mid-point of a line SOHCAHTOA
segment Pythagoras’ theorem in 3D
Gradient and y-intercept of a straight Trigonometry in 3D
line Angle between a line and a plane
Drawing Straight line graphs by Trigonometric ratios for any angle
plotting points Finding the area of a triangle using
½absinC
Ratio and Proportion The sine rule
Sharing a quantity in a given ratio Cosine rule
Direct proportion
Inverse proportion Quadratic and Simultaneous
Square and cubic proportions equations
Simultaneous equations
Transformations Equations in two unknowns
Translations Using graphs to solve simultaneous
Reflections equations
Rotation Solving quadratics by factorising
Enlargements and Scale factor Solving quadratics by completing the
square
Processing, Representing and Solving quadratic equations using the
Interpreting Data
Pie Charts
Stem and Leaf Diagram formula:
Comparative and Composite bar Graphs of simple Loci
charts Solving simultaneous equations when
Frequency Diagrams one is linear and the other is quadratic
Histograms Solving simultaneous equations when
Histograms with unequal intervals one is linear and one is a circle
Frequency Polygons
Cumulative frequency graphs and Line Diagrams and Scatter graphs
finding quartiles Drawing Line graphs
Drawing Scatter graphs
Inequalities and formulae Lines of best fit
Number Line
Simple linear inequalities in one Indices, Standards form and Surds
variable Using zero and negative indices
Integer solutions to inequalities in one Standard form
variable Fractional indices
Graphically solving many inequalities Surds
in two variable
Using formulae Similar shapes
Algebraic formulae Area of similar shapes
Changing the subject of a formulae Volumes of similar shapes
Solving equations by the trial and Lengths of similar shapes
improvement method
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