# Mathematics

The Maths Department aims to provide a fulfilling and stimulating curriculum through which students will develop mathematically. We hope that all students will find the subject challenging, rewarding and exciting.

Whilst we hope to develop confidence in the numerical skills required for every day life, we also hope to give students an insight into many more of the abstract mathematical ideas. There will be opportunities to practise problem solving techniques.

**Key Stage 3**

**Year 7**

Year 7 Foundation Sets

Students are taught Area, Perimeter and Volume, Multiplying and Dividing Decimals, Properties of Shapes, Symmetry, Rotations and Translations, Fractions Decimals and Percentages, Ratio and Proportion, Probability, Pie and Bar Charts.

Year 7 Middle sets

Students are taught Area, Perimeter and Volume, Multiplying and Dividing Decimals, Transformations, Straight Line Graphs, Fractions Decimals and Percentages, Ratio and Proportion, Solving Equations, Probability Averages and Frequency tables, Angle Properties.

Year 7 Upper sets

Students are taught Powers, Factors and Multiples, Angle Properties, Enlargements and Congruence, Bearings, Loci and Constructions, Probability, Ratio and Proportion, Algebraic Expressions, Area and Volume, Fractions Decimals and Percentages, Discrete and Continuous Data.

Progress is monitored through a series of regular assessments, homework and an end of year examination.

**Year 8**

Year 8 Foundations Sets

Students are taught Rounding, Multiplying and Dividing two digit numbers, Powers, Highest Common Factor and Lowest Common Multiples, Parallel Lines and Angle Properties, Transformations and Congruence, Bearing and Loci, Nth Term Sequences, Ratio and Proportion, Algebraic Expressions, Probability, Fractions Decimals and Percentages, Area and Volume.

Year 8 Middle Sets

Students are taught, Powers Factors and Multiples, Angle Properties, Enlargements and Congruence, Bearings, Loci and Constructions, Probability, Ratio and Proportion, Algebraic Expressions, Area and Volume, Fractions Decimals and Percentages, Discrete and Continuous Data.

Year 8 Upper sets

Students are taught Powers Indices and Roots, Standard Form, Area and Volume, Dimensional Analysis, Fractions Decimals and Percentages, Algebraic Manipulation, Solving Equations, Trial and Improvement, Sequences, Proportion, Averages, Pie Charts, Grouped Data and Cumulative Frequency.

Progress is monitored through a series of regular assessments, homework and an end of year examination.

**GCSE**

**Year 9**

The students will be starting their GCSE course. They will be in either a Higher set, with grades 4 – 9 available or a Foundation set with grades 1 – 5 available. Students who do not make the minimum standard at either tier will be awarded a grade U.

There are periodic tests throughout the course that we use to help decide report grades. These are usually after every 2 units. There will also be an end of year exam. The units/topics taught are as follows-

Foundation: Basic Number Work, Pythagoras’s Theorem, Introduction to Algebra, The Equation of a Straight Line, Sequences and Formulae, Fractions and Decimals, Number Skills, Basic Geometry, Transformations and Loci.

Higher: Basic Number Work, Pythagoras’s Theorem, Introduction to Algebra, The Equation of a Straight Line, Sequences and Formulae, Fractions, Decimals and Surds, Number Skills, Basic Geometry, Transformations and Loci.

The course is assessed at the end of year 11 by the GCSE exam.

**Year 10**

The students will continue their GCSE course. They will be in either a Higher set, with grades 4 – 9 available or a Foundation set with grades 1 – 5 available. Students who do not make the minimum standard at either tier will be awarded a grade U.

There are periodic tests throughout the course that we use to help decide report grades. These are usually after every 2 units. There will also be an end of year exam. The units/topics taught are as follows-

Foundation: Transformations and Loci continued, Trigonometry of Right Angled Triangles, Estimation and Approximation, Venn Diagrams, Probability, Proportion, Mensuration, Algebra, Graph Work, Quadratic Equations.

Higher: Transformations and Loci continued, Trigonometry of Right Angled Triangles, Estimation and Approximation, Functions, Venn Diagrams, Probability, Proportion, Mensuration, Algebra, Graph Work, Quadratic Equations, Basic Statistics, Advanced Trigonometry, Advanced Mensuration.

The course is assessed at the end of year 11 by the GCSE exam.

**Year 11**

Please note that this will only apply to the year 2017/18. This will change next year as the three year GCSE phases in.

The students will continue their GCSE course. They will be in either a Higher set, with grades 4 – 9 available or a Foundation set with grades 1 – 5 available. Students who do not make the minimum standard at either tier will be awarded a grade U.

There are periodic tests throughout the course that we use to help decide report grades. These are usually after every 2 units. There will also be mock exams. The units/topics taught are as follows-

Foundation: Venn Diagrams, Probability, Proportion, Mensuration, Algebra, Graphs Work, Quadratic Equations, Basic Statistics, Advanced Mensuration, Vectors.

Higher: Probability, Proportion, Mensuration, Algebra, Graph Work, Quadratic Equations, Basic Statistics, Advanced Trigonometry, Advanced Mensuration, Vectors, Presenting and Analysing Data, Circle Theorems, Transformations of Graphs.

The course is assessed at the end of year 11 by the GCSE exam.

**Key Stage 5**

**A Level Mathematics**

A Level Mathematics is a two-year course, where students, in Year 12 and Year 13, will study Pure Mathematics and Applied Mathematics (Mechanics and Statistics).

There will be regular assessments during the course of study and progress will be closely monitored. Towards the end of Year 12, students will have mock exams in both Pure Mathematics and Applied Mathematics. At the end of Year 13, students will sit three papers – two in Pure Mathematics and one for Applied Mathematics.

**Year 12 Pure Mathematics**

During Year 12, students will study Basic Algebraic Techniques, Graphs, Geometry of a Straight Line, Arithmetic and Geometric Series, Introduction to Calculus, Remainder Theorem, Geometry of a Circle, Binomial Series, Trigonometry, Differentiation, Logarithms and Further Calculus.

**Year 12 Applied Mathematics**

In Mechanics, students will study Modelling, Kinematics (Constant Acceleration), Forces and Newton’s Laws, Kinematics (Variable Acceleration).

In Statistics, students will study Modelling, Statistical Sampling, Data Presentation and Interpretation, Probability, Statistical Distributions and Statistical Hypothesis Testing.

**Year 13 Pure Mathematics**

In Year 13, students will study Algebraic Fractions, Trigonometry, Differentiation, Numerical Methods, Functions, Partial Fractions, Sequences and Series, Parametric Equations, Implicit Differentiation, Integration and Vectors.

**Year 13 Applied Mathematics**

In Mechanics, students will study Moments, Forces at any Angle, Projectiles, Applications of Forces, Dynamics of Particles and Further Kinematics.

In Statistics, students will study Regression and Correlation, Probability and the Normal Distribution.

**A Level Double Mathematics**

This course leads to two A Levels, one in Mathematics and one in Further Mathematics.

The course is assessed by examinations only. During the course there will be regular assessments and progress will be monitored. Towards the end of Year 12, students will have mock exams in Pure Mathematics, Applied Mathematics and Decision Mathematics. At the end of Year 13, students will sit seven exams: Two Pure Maths and the Applied exam for Single Maths. Two exams in Core Pure Mathematics and two in Decision Mathematics for their Further Maths exam.

Students studying Double Mathematics will study all the contents of Pure Mathematics required for A Level Mathematics in Year 12. This is as follows:

**Year 12 – Pure Mathematics**

Students will study Basic Algebraic Techniques, Graphs, Geometry of a Straight Line, Arithmetic and Geometric Series, Introduction to Calculus, Remainder Theorem, Geometry of a Circle, Binomial Series, Trigonometry, Differentiation, Logarithms and Further Calculus, Algebraic Fractions, Trigonometry, Differentiation, Numerical Methods, Functions, Partial Fractions, Sequences and Series, Parametric Equations, Implicit Differentiation, Integration and Vectors.

**Year 13 – Pure Mathematics**

Students will study Core Pure Mathematics 1 and 2 for their Further Maths A level. Students will study Proof, Complex Numbers, Matrices, Further Algebra and Functions, Further Calculus, Further Vectors, Polar Coordinates, Hyperbolic Functions and Differential Equations.

Students will study Applied Mathematics (Mechanics and Statistics)

**Year 12 – Applied Mathematics**

Year 12 includes: In Mechanics, students will study Modelling, Kinematics (Constant Acceleration), Forces and Newton’s Laws, Kinematics (Variable Acceleration). In Statistics, students will study Modelling, Statistical Sampling, Data Presentation and Interpretation, Probability, Statistical Distributions and Statistical Hypothesis Testing.

**Year 13 - Applied Mathematics**

Year 13 includes: Moments, Forces at any Angle, Projectiles, Applications of Forces, Dynamics of Particles and Further Kinematics. In Statistics, students will study Regression and Correlation, Probability and the Normal Distribution.

Students will study Decision Mathematics 1 in Year 12 and Decision Mathematics 2 in Year 13. In Year 12 students will study Algorithms and Graph Theory, Critical Path Analysis, Linear Programming. In Year 13 students will study Transportation Problems, Allocation (assignment problems), Flows in Networks, Dynamic Programming, Game Theory, Recurrence Relations and Decision Analysis.

**Outside the Classroom**

Students have been very successful in the UK Maths Trust competitions, both the individual and the team competitions. We are often selected to represent North Cumbria in the national finals in London.