## Outline of topics covered

• Using and applying: investigations including “number boxes” and “flip, turn and slide”
• Number: addition, subtraction, multiplication and division, also including directed numbers
• Algebra: patterns, sequences, function machines and equations
• Shape, space and measures: perimeter, area, volume, angles, coordinates and quadrilaterals
• Handling data: experimental probability, grouping data and displaying data.

## Key Learning Objectives for Year 7

• 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.

## Outline of topics covered

• Using and applying: investigations including ”arithmogons”, “distorted axes” and “max box”
• Number: addition, subtraction, multiplication and division, also including prime numbers, multiples and factors
• Algebra: constructing and simplifying expressions, using brackets, solving equations and substitution
• Shape, space and measures: perimeter, area, volume, circles, angles, scale drawings and transformations
• Handling data: probability, pie charts, mean, median, mode and range.

## Key Learning Objectives for Year 8

• 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.

## Outline of topics covered

• Using and applying: investigations including ‘anyone for T?’ and ‘pile them high’
• Number: addition, subtraction, multiplication and division also including fractions
• Algebra: formulae, substitution, sequences and equations, including the method of trial and improvement
• Shape, space and measures: pythagoras, speed, polygons, angles, symmetry, circles, transformations, perimeter, area and volume
• Handling data: statistics and probability

## Key learning objectives for Year 9

• 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 down 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.

## Years 10 & 11 GCSE Mathematics (compulsory subject)

Examination Board: OCR J562

## Course Details

The topics covered are number, algebra, shape, space, measures and handling data.

There are two tiers: Foundation and Higher.

 and C, D, E, F, G at Foundation A*, A, B, C, D at Higher.

Students will undertake three written examination papers:

Unit A 25% of total GCSE marks. 1 hour. Calculators allowed

Unit B 25% of total GCSE marks. 1 hour. No calculators.

Unit C 50% of total GCSE marks:

Foundation 1 ½ hours. Calculators allowed.

Higher 2 hours. Calculators allowed.

No coursework is required for GCSE mathematics.