Links to NC:
· Use coordinates in all 4 quadrants
· Plot simple straightline graphs
· Recognise the equations of straight lines parallel to the axes
· Draw straight lines parallel to the axes
· Work out the equation of a straight line from a graph
· Given the equation of straight line, identifies a match from a list of other equations that have been rearranged
· Find approximate solutions to contextual problems from given graphs of a variety of functions, including piecewise linear, exponential and reciprocal graphs
· Solve Linear Equalities in one variable
· Solves ‘single’ and ‘double’ inequalities
· Use the convention of an open circle on a number line for a strict inequality and a closed circle for an included boundary
· Use the convention of a dashed line for strict inequalities and a solid line for an included boundary
· Gives possible values satisfying a ‘double’ inequality.
· Represents a ‘double’ inequality on a number line.
· Plot or describe regions bounded by up to 3 inequalities

Links to NC:
· Simplify and manipulate algebraic expressions to maintain equivalence by expanding products of two or more binomials.
· Factorise quadratic expressions including the difference of two squares
· Recognise special cases such as perfect square and difference of two squares.
· Solve quadratic equations algebraically by factorising.
· Recognise, sketch and produce graphs of quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane
· Use quadratic graphs to estimate values of y for given values of x and vice versa
· Solve by plotting (and understand that quadratics may have 0, 1 or 2 roots).
· Calculate coordinates of turn point and equation of axis of symmetry.
· Simplify a range of algebraic fractions from:
· Single terms numerator and denominator
· Quadratic expressions numerator and denominator.
· Simplifies before multiplying or dividing (algebraic) fractions.
· Solve equations with a single algebraic fraction.
· Solve equations involving addition or subtraction of two algebraic fractions (denominators as numbers to keep it linear).

Links to NC:
· Derive and use the standard ruler and compass constructions:
· perpendicular bisector of a line segment
· constructing a perpendicular to a given line from/at a given point
· bisecting a given angle;
· Recognise and use the perpendicular distance from a point to a line as the shortest distance to the line
· Interpret maps, scale drawings and use of bearings
· Use known results to obtain simple proofs
· Use Pythagoras’ Theorem in similar triangles to solve problems involving rightangled triangles
· Derive and apply formulae to calculate and solve problems involving surface area of cuboids (including cubes) and other prisms (including cylinders)

Links to NC:
· Use linear and quadratic graphs to find approximate solutions of simultaneous linear equations
· Solve simultaneous equations by elimination and substitution
· Find approximate solutions to equations numerically using iteration
· Solve quadratic equations algebraically by factorisation
· Solve quadratic equations algebraically by using the quadratic formula
· Construct and solve an equation from a geometric problem (e.g. area of rectangle)
· Write functions in the form f(x)
· Perform simple manipulations of functions, such as inverse and composite functions

Links to NC:
· List possible elements in a set.
· Interpret symbols for union, intersect and complement.
· Draw and interpret Venn diagrams with 2 sets.
· Construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts and vertical line (or bar) charts for ungrouped and grouped numerical data
· Calculate the mean from a grouped frequency table.
· Plot a cumulative frequency curve
· Plot scatter graphs and draw estimated line of best fit
· Describe correlation and make predictions (but know that correlation doesn’t mean causation)

Links to NC:
Students will receive individualised revision programs based around analysis of their success with the Key Performance Indicators in preparation for their end of year exam.
