9 
 Solve quadratic equations arising from algebraic fractions
 Know how to use a composite function
 Estimate area under a quadratic graph by dividing it into trapezia
 Estimate the gradient of a quadratic or nonlinear graph at a given point by sketching the tangent
 Find the equation of a tangent to a circle at a given point
 Interpret coordinates for trigonometric graphs
 Plot graphs of the exponential function y = 〖ab〗^x
 Use iteration with simple converging sequences

8 
 Find the inverse of a linear function
 Plot graphs of exponential functions
 Recognise, sketch and interpret graphs of trigonometric functions
 Know how to transform graphs
 Find the gradient of the radius that meets the circle at a given point
 Find the nth term of a quadratic sequence
 Solve linear/x²+y²=r² simultaneous equations

7 
 Solve quadratic equations by using the quadratic formula
 Expand two or more brackets
 Factorise harder quadratics, including difference of two squares
 Use function notation
 Deduce turning points by completing the square
 Sketch a graph of a quadratic
 Find the equation of the line through two given points
 Find the equation of the line through one point with a given gradient
 Find the gradient of perpendicular lines
 Give equations of lines parallel and perpendicular to the given line
 Solve quadratic inequalities
 Manipulate algebraic expressions with surds and algebraic fractions
 Solve linear/quadratic simultaneous equations
 Solve linear/nonlinear simultaneous equations graphically
 Set up equations to solve direct or inverse proportion problems

6 
 Solve linear equations with fractional coefficients
 Solve quadratics by completing the square
 Expand double brackets (ax ± b)(cx ± d)
 Change the subject of a more complex formula (square roots and fractions)
 Identify and interpret gradient from an equation in the form ax+b=c
 Recognise, sketch and interpret cubic and reciprocal graphs
 Find the midpoint of a line using a formula
 Solve linear inequalities graphically
 Solve two simultaneous inequalities algebraically
 Answer simple proof and ‘show that’ questions
 Continue a quadratic sequence and use the nth term to generate terms
 Continue geometric progression and find term to term rule, including negative, fraction and decimal terms
 Simplify expressions involving brackets and powers
 Use expressions of the form y ∝ x²
 Identify direct proportion from a table of values

5 
 Solve quadratic equations by factorising
 Change the subject of a formula (including subject on both sides)
 Find the equation of a straightline from its graph
 Interpret distancetime graphs and calculate speed
 Interpret gradient as rate of change
 Identify and interpret roots, intercepts and turning points of a quadratic graph
 Given the coordinates of points A and B, calculate the length of AB
 Plot and draw graphs of straight lines without using a table of values
 Solve more complex linear inequalities
 Use algebra to support and construct arguments
 Recognise and use simple geometric progressions
 Use function machines to find terms of sequence
 Solve linear simultaneous equations algebraically and graphically
 Write a ratio as a linear function

4 
 Solve more complex equations (including negatives and division)
 Use systematic trial and improvement
 Form and solve an equation
 Expand double brackets
 Understand the meaning of an identity and use the ≠ sign
 Find an unknown that is not the subject of the formula
 Rearrange simple equations
 Find the gradient of a line
 Identify parallel lines from their equations
 Plot the graphs of linear functions in the form y=mx+c
 Plot and recognise quadratics
 Solve simple linear inequalities
 Find and use the nth term of an arithmetic sequence
 Simplify simple expressions involving index notation
 Understand and use compound measures (density, speed, pressure)
 Solve problems involving variables in direct and inverse proportion

3 
 Solve equations with ‘x’s on both sides
 Solve equations involving brackets
 Expand and simplify a single bracket
 Substitute positive integers into expressions involving small powers
 Identify an Identity
 Factorise linear expressions
 Change the subject of a formula in one step
 Know what is meant by the gradient of a straight line
 Draw velocitytime graphs
 Find the coordinates of the midpoint of a line from a given graph
 Recognise that equations of the form y=mx+c lead to straight line graphs
 Write down whole number values that satisfy an inequality
 Use algebra to describe the nth term in an arithmetic sequence.
 Understand the use of small, positive powers in algebra

2 
 Solve twostep equations
 Construct equations from real life situations
 Substitute into more complex formulae (involving brackets and more than one operation)
 Substitute positive and negative integers into simple formulae
 Select an expression/ equation/ formula from a list
 Generate coordinates from functions
 Use graphs to solve distancetime problems.
 Interpret information from a complex real life graph
 Find the coordinates required to complete a shape
 Plot and draw graphs of straight lines using a table of values
 Draw the next term in a pattern sequence
 Recognise cube numbers and Fibonaccitype sequences
 Know how to find the nth term for linear sequences

1 
 Substitute integers into equations and formulae
 Construct expressions from worded descriptions
 Multiply a single positive term over a bracket
 Create expressions from worded examples
 Complete a number machine
 Plot a simple distancetime graph
 Read coordinates in all four quadrants
 Draw graphs of y=a, x=a, y=x and y=x
 Show inequalities on a number line
 Generate terms in a sequence given termtoterm rule or positiontoterm rule
 Use arithmetic operations with algebra
 Multiply together two simple algebraic expressions

W3 
 Substitute into simple formulae
 Use function machines
 Simplify by collecting like terms
 Find inputs and outputs of functions
 Interpret line graphs
 Read values from straightline graphs
 Draw, label and scale axes
 Use inequality notation >, <, ≥, and ≤
 Generate terms of a simple sequence
 Know square and triangle numbers

W2 
 Find outputs of simple functions
 Read coordinates in the first quadrant
