Pupils are expected to have the following equipment every lesson:

• Blue or black pen
• Sharp HB pencil for diagrams
• Pencil Sharpener
• Rubber
• Protractor
• Pair of compasses
• 30cm ruler
• Calculator

Year 7

Year 8

Year 9

Simplify fractions by cancelling all common factors; identify equivalent fractions.

Recognise the equivalence of percentages, fractions and decimals.

Extend mental methods of calculation to include decimals, fractions and percentages.

Multiply and divide three-digit by two-digit whole numbers; extend to multiplying and dividing decimals with one or two places by single-digit whole numbers.

Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations and methods.

Check a result by considering whether it is of the right order of magnitude.

Use letter symbols to represent unknown numbers or variables.

Know and use the order of operations and understand that algebraic operations follow the same conventions and order as arithmetic operations.

Plot the graphs of simple linear functions.

Identify parallel and perpendicular lines; know the sum of angles at a point, on a straight line and in a triangle.

Convert one metric unit to another (e.g. grams to kilograms); read and interpret scales on a range of measuring instruments.

Compare two simple distributions using the range and one of the mode, median or mean.

Understand and use the probability scale from 0 to 1; find and justify probabilities based on equally likely outcomes in simple contexts.

Solve word problems and investigate in a range of contexts, explaining and justifying methods and conclusions.

Add, subtract, multiply and divide integers.

Use the equivalence of fractions, decimals and percentages to compare proportions; calculate percentages and find the outcome of a given percentage increase or decrease.

Divide a quantity into two or more parts in a given ratio; use the unitary method to solve simple word problems involving ratio and direct proportion.

Use standard column procedures for multiplication and division of integers and decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations.

Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket.

Substitute integers into simple formulae.

Plot the graphs of linear functions, where y is given explicitly in terms of x; recognise that equations of the form y = mx + c correspond to straight-line graphs.

Identify alternate and corresponding angles; understand a proof that the sum of the angles of a triangle is 180° and of a quadrilateral is 360°.

Enlarge 2-D shapes, given a centre of enlargement and a positive whole-number scale factor.

Use straight edge and compasses to do standard constructions.

Deduce and use formulae for the area of a triangle and parallelogram, and the volume of a cuboid; calculate volumes and surface areas of cuboids.

Construct, on paper and using ICT, a range of graphs and charts; identify which are most useful in the context of a problem.

Find and record all possible mutually exclusive outcomes for single events and two successive events in a systematic way.

Identify the necessary information to solve a problem; represent problems and interpret solutions in algebraic, geometric or graphical form.

Use logical argument to establish the truth of a statement.

Add, subtract, multiply and divide fractions.

Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole.

Make and justify estimates and approximations of calculations.

Construct and solve linear equations with integer coefficients, using an appropriate method.

Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence, on paper and using ICT; write an expression to describe the nth term of an arithmetic sequence.

Given values for m and c, find the gradient of lines given by equations of the form y = mx + c.

Construct functions arising from real-life problems and plot their corresponding graphs; interpret graphs arising from real situations.

Solve geometrical problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons.

Know that translations, rotations and reflections preserve length and angle and map objects on to congruent images.

Know and use the formulae for the circumference and area of a circle.

Design a survey or experiment to capture the necessary data from one or more sources; determine the sample size and degree of accuracy needed; design, trial and if necessary refine data collection sheets.

Communicate interpretations and results of a statistical enquiry using selected tables, graphs and diagrams in support

Know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving problems.

Solve substantial problems by breaking them into simpler tasks, using a range of efficient techniques, methods and resources, including ICT; give solutions to an appropriate degree of accuracy.

Present a concise, reasoned argument, using symbols, diagrams, graphs and related explanatory text.

Know and use the index laws for multiplication and division of positive integer powers.

Understand and use proportionality and calculate the result of any proportional change using multiplicative methods.

Square a linear expression and expand the product of two linear expressions of the form x ± n; establish identities.

Solve a pair of simultaneous linear equations by eliminating one variable; link a graphical representation of an equation or a pair of equations to the algebraic solution.

Change the subject of a formula.

Know that if two 2-D shapes are similar, corresponding angles are equal and corresponding sides are in the same ratio.

Understand and apply Pythagoras’ theorem.

Know from experience of constructing them that triangles given SSS, SAS, ASA or RHS are unique, but that triangles given SSA or AAA are not; apply these conditions to establish the congruence of triangles.

Use measures of speed and other compound measures to solve problems.

Identify possible sources of bias in a statistical enquiry and plan how to minimise it.

Examine critically the results of a statistical enquiry and justify choice of statistical representation in written presentations.

Generate fuller solutions to mathematical problems.

Recognise limitations on the accuracy of data and measurements.