KEY STAGE 3 MATHEMATICS The National Curriculum for mathematics aims to ensure that all pupils: Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils have conceptual understanding and are able to recall and apply their knowledge rapidly and accurately to problems Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language Can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions Term | Year 7 | Year 8 | Year 9 | Autumn | Transition unit from Y6 Using a calculator Sequences Perimeter and area Averages and range Fractions Fractions, decimals, percentages Angles Rules of algebra Coordinates | Sequences Fractions Properties of numbers Negative numbers Area and Perimeter Rounding off and estimating Using Algebra Fractions, decimals, percentages Geometrical Reasoning Construction and Locus Circles Written Calculations Using a calculator | Written Calculations and Numeracy Using Algebra Geometrical Reasoning Fractions Scatter Graphs Index Laws Using Calculators and BIDMAS Circumference and Area of Circles Constructions Solving Equations Estimating Functional Maths Straight Line Graphs | Spring | Decimals 1 Multiplying and dividing with decimals Properties of numbers Straight line graphs Handling data Probability 1 Applying mathematics in a range of contexts Constructing triangles Two dimensional shapes Percentages | Formulas and expressions Drawing graphs Reflection Describing data Rotation and combined transformations Interpreting and sketching real-life graphs Brackets and equations Fractions review Handling data Ratio and proportion | Area Transformations Reading Graphs and Pie Charts Drawing 3-D Shapes Volume Percentages Equations Practice Sequences Averages Ratio Loci Functional Maths Pythagoras' Theorem | Summer | Proportion and ratio Negative numbers More algebra Rotation Line symmetry Translation Probability 2 Interpreting graphs Rounding numbers More equations Sequence rules Metric and imperial units Angles and constructions Three dimensional objects | Negative numbers review Sequences – the nth term Enlargement Congruent shapes, tessellation Drawing graphs review Area review Percentages Review/test Probability Measures 3–D Objects Bearings and scale drawing Decimals review Volume | Number Review Probability Different Types of Graphs Speed/Distance/Time & Mass/Density/Volume Algebra Review Upper and Lower Bounds Shape and Space Review Simultaneous Equations Collecting and Interpreting Data Inequalities Functional Maths | KEY STAGE 4 MATHEMATICS Edexcel GCSE in Mathematics A – Linear (1MA0) All pupils follow Edexcel GCSE in Mathematics A – Linear (1MA0). Overview of assessment • Two written papers: each contributes 50% of the final grade • Tiered papers Foundation Tier grades C-G available Higher Tier grades A*-D available (E allowed) • 1 hour 45 minutes (Foundation papers) • 1 hour 45 minutes (Higher papers) Key subject aims This qualification in Mathematics encourages students to develop confidence in, and a positive attitude towards, mathematics and to recognise the importance of mathematics in their own lives and to society. This qualification prepares students to make informed decisions about the use of technology, the management of money, further learning opportunities and career choices. Knowledge and understanding This Edexcel GCSE in Mathematics A qualification requires students to: Develop knowledge, skills and understanding of mathematical methods and concepts, including: - Number
- Algebra
- Geometry
- Measures
- Statistics
- Probability
- Use their knowledge and understanding to make connections between mathematical concepts
- Apply the functional elements of mathematics in everyday and real-life situations
Skills This Edexcel GCSE in Mathematics A gives students the opportunity to develop the ability to: acquire and use problem-solving strategies select and apply mathematical techniques and methods in mathematical, every day and real-world situations reason mathematically, make deductions and inferences and draw conclusions, interpret and communicate mathematical information in a variety of forms appropriate to the information and context. |
The content of GCSE Mathematics Specification A
The content of the GCSE Mathematics specifications has been grouped into the topic areas of Number, Algebra, Geometry, Measures, Statistics and Probability. Don’t worry if you don’t know what all of these mean yet – you will know at the end of your two years of study. Topics in bold are Higher tier only
Number | Algebra | Geometry and Measures | Statistics and Probability |
Four operations Decimals Percentages Fractions Equivalent fractions Accuracy Use of calculators Factors and multiples Cubes, roots and squares Index laws Standard form Surds Inverse operations Recurring decimals Ratio Using percentage and repeated percentage change Compound interest Reciprocals Upper and lower bounds | Notation Graphs Graphs of functions Expressions Factorising Formulae Rational expressions Sequences Coordinates in 2-D and 3-D Straight line graphs Gradients of lines Graphs of loci Real life graphs Equations Quadratic equations Changing the subject of the formula Inequalities Trial and improvement Simultaneous equations Graphs of functions Graphs of loci Quadratic graphs Direct and indirect proportion Transformation of functions | Angles at a point Scales and units Angles and triangles Quadrilaterals Symmetry Polygons Parts of a circle Perimeter and area Circle theorems 3-D shapes Volume Scales and measures Compound measures Congruence Pythagoras’ Theorem Trigonometry Circle Theorems Transformations Constructions Loci Mensuration Vectors Bearings Scale drawings | Handling data cycle Data collection Data representation Analysing data Interpreting data Sampling Box plots, histograms and cumulative frequency Addition and multiplication of probabilities Probability measures Relative probability Mutually exclusive outcomes Mutually exclusive and independent events Tree diagrams |
KEY STAGE 5 MATHEMATICS
The Mathematics department aims to thoroughly prepare students wishing to continue into higher education. Advanced Subsidiary (AS) and Advanced GCE Mathematics are prerequisites for an enormous variety of courses and careers. We believe students should have an appreciation of both the pure nature of mathematics as well as its application in 'real' situations.
The syllabus we offer will equip you well for whichever path you choose to take in either higher education or a career after sixth form. In addition to the traditional methods of pure mathematics, you will study the three main applied fields, namely, Probability, Statistics and Mechanics.
If you have an aptitude for Mathematics, we are confident that the AS and Advanced GCE courses will provide you with intellectual stimulation and fulfilment, whilst enabling you to acquire the necessary knowledge and skills you will require.
The following are the primary curriculum aims of the AS and Advanced GCE courses on offer.
To encourage students to:
(a) develop their understanding of mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment
(b) develop abilities to reason logically and recognise incorrect reasoning, to generalise and to construct mathematical proofs
(c) extend their range of mathematical skills and techniques and use them in more difficult, unstructured problems
(d) develop an understanding of coherence and progression in mathematics and of how different areas of mathematics can be connected
(e) recognise how a situation may be represented mathematically and understand the relationship between ‘real-world’ problems and standard and other mathematical models and how these can be refined and improved
(f) use mathematics as an effective means of communication
(g) read and comprehend mathematical arguments and articles concerning applications of mathematics
(h) acquire the skills needed to use technology such as calculators and computers effectively, recognise when such use may be inappropriate and be aware of limitations
(i) develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general
(j) Take increasing responsibility for their own learning and the evaluation of their own mathematical development.
In year 12 students study AS Mathematics
Course: Edexcel: 8371 Advanced Subsidiary Mathematics
Core Mathematics units C1 and C2 plus one of the Applications units M1, S1 or D1.
In year 13 students study A2 Mathematics
Course: Edexcel: 9371 Advanced GCE Mathematics
Core Mathematics units C1, C2, C3 and C4 plus two Applications units M1, S1 and D1
Unit | Unit Summary of unit content |
C1 | Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration |
C2 | Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration. |
C3 | Algebra and functions; trigonometry; exponentials and logarithms; differentiation; numerical methods. |
C4 | Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration; vectors. |
M1 | Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments. |
S1 | Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution |
D1 | Algorithms; algorithms on graphs; the route inspection problem; critical path analysis; linear programming; matchings |