EDEXCEL GCSE MATHS UNIT 3 TOPIC LIST (HIGHER)

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GCSE MATHS UNIT 3 TOPIC LIST (HIGHER)
Fractions: Multiplication and division
Convert a fraction to a decimal, or a decimal to a fraction
Find the reciprocal of whole numbers, fractions, and decimals
Multiply and divide a fraction by an integer and by a unit fraction
Convert a fraction to a recurring decimal (and visa versa)
Use fractions in contextualised problems
2D shapes
Construct:An equilateral triangle with a given side, the midpoint and perpendicular bisector of a
line segment, The perpendicular from a point on a line, the bisector of an angle
etc
Percentages
Find a percentage increase/decrease of an amount
Find a reverse percentage, e.g. find the original cost of an item given the cost after a 10%
deduction
Use a multiplier to increase by a given percent, e.g. 1.1 ´ 64 increases 64 by 10%
Calculate simple and compound interest for two, or more, periods of time
3D shapes
Draw and interpret plans and elevations, draw planes of symmetry in 3D shapes
Recognise and name examples of solids, including prisms, in the real world
Solving linear equations
Solve linear equations with one, or more, operations (including fractional coefficients and single
pair of brackets)
Formulae
Substitute positive and negative numbers into algebraic formulae involving powers
Change the subject of a formula,
generate a formula from given information, e.g. find the formula for the perimeter of a rectangle
given ...
Circle theorems
Understand, prove and use circle theorems
Use circle theorems to find unknown angles and explain their method quoting the appropriate
theorem(s)
Linear functions

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Plot points for linear functions, Interpret m and c as gradient and yintercept in linear functions
Understand that the graphs of linear functions are parallel if they have the same value of m
Know that the line perpendicular to y = mx + c has gradient 1/m
Understand linear functions in practical problems, e.g.…read more

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Draw the graphs of linear inequalities in two variables and interpret the solution sets given by
regions in the coordinate plane, or to identify all the integer coordinates with crosses
Quadratic functions
Find graphically the solutions of quadratic equations, solve quadratic equations by factorising,
use the quadratic formula to solve quadratic equations, use the quadratic formula to solve
quadratic equations leaving the answer in surd form, complete the square of a quadratic function
(using this to write down the max/min of the function)
Trial and…read more

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Match equations with there graphs, sketch graphs of given functions
Vectors
Understand that 2a is parallel to a and twice its length
Understand that a is parallel to a and in the opposite direction
Use and interpret vectors as displacements in the plane (with an associated direction)
Transformations of graphs
§ Represent translations in the x and y direction, reflections in the xaxis and the yaxis, and
stretches parallel to the xaxis and the yaxis…read more

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