Sir Graham Balfour School

A member of the Sir Graham Balfour Multi-Academy Trust

Maths

Subject overview

Our aim is to develop students as Mathematicians through the study of number, ratio and proportion, algebra, shape and measures and data handling.

Students develop their abilities to use and apply standard techniques,

  • recalling facts, terminology and definitions,
  • using and interpreting notation and accurately carrying out procedures or tasks requiring multi step solutions.

Students also develop their ability to reason, interpret and communicate mathematically,

  • Making deductions, inferences and drawing conclusions
  • Interpreting and communicating information accurately
  • Presenting arguments and proofs

Students also develop problem solving skills within mathematics and other contexts

  • Translating problems in mathematical or non-mathematical contexts into a process or series of processes
  • Making connections between different areas of mathematics
  • Interpreting results within the context of the problem
  • Evaluating the methods used

A-Level

Exam Specification - OCR MEI Mathematics B Advanced level course

https://www.ocr.org.uk/qualifications/as-and-a-level/mathematics-b-mei-h630-h640-from-2017/

During the A-Level Maths course, students study the following units of work:

Year 12

 

Scheme of Work  A

Scheme of Work B

Unit 1

Equations & inequalities

Surds & indices

Unit 2

Probability

Quadratic functions

Unit 3

Trigonometry

Collecting & representing data

Unit 4

Coordinate geometry

Polynomials

Unit 5

Kinematics in 1D

Graphs & transformations

Unit 6

Differentiation

Exponentials & logarithms

Unit 7

Integration

Vectors

Unit 8

Variable acceleration

Forces & newton’s law

Unit 9

Binomial expansion

 

Unit 10

Binomial distribution

 

Unit 11

Statistical hypothesis testing

 

Year 13

Unit 1

Differentiation

Trigonometry

Unit 2

Statistical hypothesis testing

Probability

Unit 3

Further differentiation

Trigonometric functions

Unit 4

Sequences & series 2

Statistical distributions

Unit 5

Integration

Trigonometric identities

Unit 6

Parametric equations

Algebra

Unit 7

Kinematics in 2D

Forces & motion

Unit 8

Projectiles

A model for friction

Unit 9

Differential equations

Functions & graphs

Unit 10

 

3D vectors

Unit 11

 

Moments

Unit 12

 

Numerical methods

GCSE

Exam Specification - EDEXCEL 9-1 1MA1 GCSE course

 https://qualifications.pearson.com/en/qualifications/edexcel-gcses/mathematics-2015.html

Each GCSE Maths class follows one of four schemes of work.  Please see below for the units of work covered during the GCSE course (which runs from Year 9 to Year 11):

Year 9

 

Higher Tier A

Higher Tier B

Foundation Tier A

Foundation Tier B

Unit 1

Lines, angles and shapes

Lines, angles and shapes

Integers and decimals

Integers

Unit 2

Integers and Decimals

Integers and decimals

Algebraic manipulation

Algebraic manipulation

Unit 3

Algebraic manipulation

Factors and multiples

lines, shapes and angles

lines, shapes and angles

Unit 4

Transformations

Algebraic manipulation

Factors and multiples

Collecting data

Unit 5

Factors and multiples

Collecting data

Shapes and angles

Squares, cubes, roots and primes

Unit 6

Solving linear equations and inequalities

Laws of indices

Laws of indices

Formulae

Unit 7

Collecting data

Formulae

Formulae

Estimates, reading scales and units

Unit 8

Laws of indices

Estimates and reading scales

Fractions

Displaying data, charts and graphs

Unit 9

Formulae

Displaying data, charts and graphs

Estimates, reading scales and units

Laws of indices

Unit 10

Fractions

Fractions

Collecting data

Patterns and sequences

Unit 11

Metric and compound units

Metric and compound units

Percentages

Area, perimeter and volume

Unit 12

Averages

Averages

Patterns and sequences

Percentages

Unit 13

Percentages

Percentages

Area, perimeter and volume

Co-ordinates

Unit 14

Patterns and sequences

Patterns and sequences

Displaying data, charts and graphs

3D shapes, symmetry and similarity

Unit 15

Area, perimeter and volume

Area, perimeter and volume

Ratio, scale and proportion

Ratio, scale and proportion

Unit 16

Ratio and Scale

Ratio and Scale

Linear graphs

 

Unit 17

linear graphs

Scatter graphs and correlation

3D shapes, symmetry and similarity

 

Unit 18

Pie charts, Scatter graphs and correlation

3D shapes and symmetry

 

 

Unit 19

Standard form

 

 

 

Unit 20

3D shapes and symmetry

 

 

 

 

Year 10

 

Higher A

Higher B

Foundation A

Foundation B

Unit 1

Factorising, expanding and solving

Factorising and expanding

Percentage problems

Percentage problems

Unit 2

Percentage problems

Transformations

Polygons

Polygons

Unit 3

Constructions, loci, similarity and congruence

Percentage problems

Algebraic manipulation

Algebraic manipulation

Unit 4

Exact answers and surds

Solving linear equations and inequalities

Transformations

Transformations

Unit 5

Probability

Constructions, loci, similarity and congruence

Averages

Averages

Unit 6

Solving equations by trial and improvement

Using fractions

Further fractions

Further fractions

Unit 7

Using fractions

Substitution and changing the subject

Constructions, loci, similarity and congruence

Constructions, loci, similarity and congruence

Unit 8

Pythagoras’ Theorem and trigonometry

Pythagoras’ Theorem

Solving linear equations and inequalities

Solving linear equations and inequalities

Unit 9

Substitution and changing the subject

Probability

Pythagoras’ Theorem

Pythagoras’ Theorem

Unit 10

Circle theorem

Solving equations by trial and improvement

Scatter graphs and correlation

Scatter graphs and correlation

Unit 11

Median and interquartile range

Circles, cones, pyramids and spheres

Substitution and changing the subject

Substitution and changing the subject

Unit 12

Straight line graphs

Standard form

3D shapes, nets and plans

3D shapes, nets and plans

Unit 13

Circles, cones, pyramids and spheres

Straight line graphs

Probability

Probability

Unit 14

Simultaneous equations and inequalities

Median and interquartile range

Circles and cylinders

Circles and cylinders

Unit 15

Compound units

Compound units

Drawing and interpreting graphs

Drawing and interpreting graphs

Unit 16

Trigonometry in non-right angled triangles

 

Further units

Further units

Unit 17

Similar shapes

 

Congruence and similarity

Congruence and similarity

 

Year 11

Unit

Higher A

Higher B

Foundation A

Foundation B

Unit 1

Factorising and algebraic fractions

Exact answers and surds

Fractions

Fractions

Unit 2

Upper and lower bounds

Quadratic functions

Equations

Equations and inequalities

Unit 3

Quadratic functions

Trigonometry

Pythagoras’ Theorem and Trigonometry

Pythagoras’ Theorem

Unit 4

Applications of Pythagoras’ Theorem and trigonometry in 3D

Histograms

Averages and charts

Averages and charts

Unit 5

Further simultaneous equations

Simultaneous equations

Expressions

Factors and multiples

Unit 5

Curved graphs

Similar shapes

Factors and multiples

Expressions and formulae

Unit 6

Histograms

Circle theorem

Area

Area

Unit 7

Functions and transforming graphs

Direct and inverse proportion

Fractions, decimals and percentages

Fractions, decimals and percentages

Unit 8

Direct and inverse proportion

y = mx + c

Sequences

Sequences

Unit 9

Vectors

Vectors

Transformations

Rotations and enlargements

Unit 10

 

 

Inequalities

Probability of multiple events

Unit 11

 

 

Standard form

Constructions, loci, similarity and congruence

Unit 12

 

 

Drawing and interpreting graphs

Polygons

Unit 13

 

 

Simultaneous equations

 

Unit 14

 

 

Volume and surface area

 

Year 8

During Year 8, students study the following units of work:

Year 8

 

Beta

Gamma

Delta

Unit 1

Types of numbers

Calculators, factors and multiples

Expressions

Unit 2

Negative Numbers

Negative Numbers

Equations

Unit 3

Expressions and formulae

Expressions

Sequences

Unit 4

Graphs and co ordinates

Brackets and Formulae

Co-ordinates and graphs

Unit 5

Fractions

Equations

Types of numbers

Unit 6

Decimals

Sequences

Fractions

Unit 7

Equations

Co-ordinates and graphs

Decimals

Unit 8

Area and perimeter

Fractions

Angles

Unit 9

Ratio and proportion

Ratio and proportion

Area, perimeter and volume

Unit 10

Fractions, decimals and percentages

Angles

Ratio and proportion

Unit 11

Sequences

Decimals

Fractions, decimals and percentages

Unit 12

Angles

Area. Perimeter and volume

Pythagoras Theorem

Unit 13

 

Compound measures

 

Unit 14

 

Fractions, decimals and percentages

 

Year 7

Year 7

Year 7

 

Alpha

Beta

Gamma

Unit 1

Numbers

Types of numbers

Calculators, factors and multiples

Unit 2

Fractions and percentages

Negative numbers

Negative numbers

Unit 3

Measuring and units

Expressions and formulae

Expressions

Unit 4

Calculating

Graphs and coordinates

Brackets and formulae

Unit 5

Co-ordinates

Fractions

Equations

Unit 6

Decimals

Decimals

Sequences

Unit 7

Money

Equations

Co-ordinates and graphs

Unit 8

Area and perimeter

Area and perimeter

Fractions

Unit 9

Negative numbers

Ratio and proportion

Ratio and proportion

Unit 10

Introduction to algebra

Fractions, decimals and percentages

Angles

Unit 11

Sequences

Sequences

Decimals

Unit 12

 

Angles

Area, perimeter and volume

Unit 13

 

 

Compound measures

Unit 14

 

 

Fractions, decimals and percentages

 

Address

Sir Graham Balfour School
North Avenue
Stafford
ST16 1NR

For Sat Nav directions:

ST16 1NJ

Phone

01785 223490

Email

office@sirgrahambalfour.staffs.sch.uk