Independent day school
for girls 3 - 18 and boys 3 - 11
with boarding for girls from 9

Mathematics

Year 7 Curriculum

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.

Year 8 Curriculum

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.

Year 9 Curriculum

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
Specification Number: J562

Course Details

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

There are two tiers: Foundation and Higher.

The grades available are:

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.

 

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