 # Maths

Mathematics transcends cultural boundaries and its importance is universally recognised. It develops students’ ability to calculate, reason logically, to problem solve and handle data, all important aspects in everyday living and employment.

### Delta

 DELTA Year 7 Year 8 Year 9 Autumn 1 Unit 1: Analysing and Displaying Data Unit 2: Number Skills Peak District project Unit 1: Factors and Powers Unit 2: Working with powers Binary Project Unit 1: Powers and Roots   Unit 2: Quadratics Autumn 2 Unit 3: Equations, Functions, and Formulae Unit 4: Fractions Unit 2: Working with powers Unit 3: 2D shapes and 3D solids Unit 3: Inequalities, equations and formulae Unit 4: Collecting and analysing Data Spring 1 Unit 5: Angles and Shapes Unit 6: Decimals Unit 4: Real life graphs Unit 5: Transformations WW2 Project Unit 5: Multiplicative Reasoning Unit 6: Non Linear  Graphs Spring 2 Unit 6: Decimals Unit 7: Equations Unit 6: Fractions, decimals, percentages Unit 7: Constructions and Loci Unit 6: Non Linear  Graphs Unit 7: Accuracy and Measures Summer 1 Unit 8: Multiplicative Reasoning Unit 9: Perimeter, Area and Volume Unit 7: Constructions and Loci Unit 8: Probability Plan a Holiday Project Unit 8: Graphical Solutions Unit 9: Trigonometry Summer 2 Unit 9: Perimeter, Area and Volume Unit 10: Sequences and Graphs Unit 9: Scale drawings and measures Unit 10: Graphs Unit 9: Trigonometry Unit 10: Mathematical Reasoning

## PI

 PI Year 7 Year 8 Year 9 Autumn 1 Unit 1: Analysing and displaying data Unit 2: Calculating Peak district projects Unit 1: Number Properties and Calculations Unit 2: Shapes and Measure in 3D Binary Project Unit 1: Number calculations Unit 2: Sequences and equations Autumn 2 Unit 3: Expressions, functions and formulae Unit 4: Graphs Smarties investigation Unit 3: Statistics Unit 4: Expressions and Equations Unit 3: Statistics Unit 4: Fractions Spring 1 Unit 5: Factors and multiples Unit 6: Decimals and measures Number fun week Unit 5: Decimal Calculations Unit 6: Angles WW2 Project Unit 5: Geometry in 2D and 3D Unit 6: Algebraic and real-life graphs Spring 2 Unit 6: Decimals and measures Unit 7: Angles and lines Theme Park project Unit 6: Angles   Unit 7: Number Properties Unit 6: Algebraic and real-life graphs Unit 7: Multiplicative reasoning Summer 1 Unit 8: Measuring and shapes Unit 9: Fractions, decimals and percentages Tangrams Unit 8: Sequences Unit 9: Fractions and Percentages Plan a Holiday Project Unit 8: Algebraic and geometric formulae Unit 9: Probability Summer 2 Unit 9: Fractions, decimals and percentages Unit 10: Transformations Some elements of unit 9 and 10 to be covered in the transformations poster task Transformation poster Unit 9: Fractions and Percentage Unit 10: Probability Unit 9: Probability Unit 10: Polygons and transformations

## Theta

 THETA Year 7 Year 8 Year 9 Autumn 1 Unit 2: Number skills   Peak district project Unit 1: Calculations Unit 2:  Area and Volume Binomial Project Unit 1: Indices and standard form Unit 2: Expressions and formulae Autumn 2 Unit 3: Expressions, functions and formulae Unit 4: Decimals and measure Smarties investigation (covers topics in unit 1) Unit 3:  Statistics Graphs and Charts Unit 4: Expressions and Equations Unit 3: Dealing with data Unit 4: Multiplicative reasoning Spring 1 Unit 5: Fractions Unit 6: Probability Probability card games Unit 5:  Real Life Graphs Unit 6:  Decimals and Ratio WW2 Project Unit 5: Constructions Unit 6: Equations, inequalities and proportionality Spring 2 Unit 6: Probability (cont) Unit 7: Ratio and proportion Puzzle week Unit 7: Line and Angles Unit 8: Calculating with Fractions Unit 6: Equations, inequalities and proportionality Unit 7: Circles, Pythagoras and prisms Summer 1 Unit 8: Lines and angles Unit 9: Sequences and graphs Table sequence project Missing angles top trumps Unit 8: Calculating with Fractions Unit 9:  Straight line Graphs Plan a Holiday Project Unit 8: Sequences and graphs Unit 9: Probability Summer 2 Unit 9: Sequences and graphs (cont) Unit 10: Transformations Theme Park project Unit 9:  Straight line Graphs Unit 10:  Percentages Decimals and Fractions Unit 9: Probability Unit 10: Comparing shapes

## Key Stage 4

On the basis of KS3 results and teacher recommendation, all students are prepared for GCSE Mathematics at the appropriate level with the final decisions regarding tier of entry being made during the first half of Year 11.

Our programme is designed to develop students’ mathematical skills by incorporating a wide range of activities, which deliver a rich mathematical experience. This will build confidence and has a particular focus on problem-solving and functional skills.

At the end of Year 11, there are three equally weighted written papers, one without a calculator and two with a calculator.

 Foundation Higher Year 10 Year 11 Year 10 Year 11 Autumn 1 Sequences Angles Factors and Multiples Perimeter and area Circumference and area Growth and decay 2D representations of 3D shapes Trigonometry Simultaneous equation Direct and inverse proportion Pythagoras Basic trigonometry Sine and Cosine rule Recurring decimal to fractions Equations and formulae Collecting and representing data Standard form Algebraic fractions Volume Numerical methods Equation of a circle Autumn 2 Equations Indices Standard form Collecting and representing data Ratio and proportion Transformations Area of sector, arc length, area and perimeter of compound shapes Factorising and solving equations Mock revision Perimeter and area including circles Circle theorems Rounding Direct and inverse proportion Sequences Simultaneous equations 2 Further graphs and equations Growth and decay Mock revision Paper review Spring 1 Co-ordinates and linear graphs Calculating with percentages Statistical measures Properties of Polygons Inequalities Vectors Sketching graphs Perimeter and areas including parts of a circle Revision Calculating with percentages Co-ordinates and linear graphs Surds 1 Properties of polygons Real life graphs Sketching graphs Gradients and rates of change Rearranging formulae 2 3D Pythagoras and trigonometry Spring 2 Scale diagrams and bearings Construction and Loci Probability Volume 1 Revision Indices Ratio and proportion Congruency and similarity Algebra: quadratics, Vectors Transforming functions Pre-calculus and area under a curve Revision Summer 1 Rounding Real life graphs Measures Formulae including substitution Pythagoras Scatter graphs Congruency and similarity Revision Rearranging formulae and identities Statistical measure Measures Transformations Probability Revision Summer 2 Congruency and similarity continued Algebra: factorising, forming and solving equations Quadratic graphs Volume 2 Probability 2 Circumference and area Simultaneous equations (linear) Constructions and loci Inequalities End of year assessment

## Key Stage 5

Whilst this course builds at a higher level on many topics studied in the Higher Tier GCSE course it also introducing some more complex areas of Mathematics, which will stimulate our more mathematically able students.

A Level Maths

 Year 12 Year 13 Autumn 1 Index Laws (1) Expanding and factorising Surds Quadratics (3) Functions (1) Equations Inequalities (6) Graphs  and transformations (5) Unit test 1 (1) Straight line graphs (6) Equation of a circle (3) Unit test 2 (1) Sequences and series (6) Unit test 4 (1) Parametric equations (4) Unit test 7 (1) Radians (5) Trigonometric functions (5) Trigonometry and modelling (4 lessons) Autumn 2 Algebraic methods (3) Mathematical proof (2) Binomial expansion (3) Unit test 3 (1) Trigonometric ratios (3) Trigonometric identities and equations (5) Unit test 4 (1) Differentiation (9) Unit test 6 (1) Trigonometry and modelling (3 lessons) Unit test 6 (1) Differentiation (11) Unit test 8 (1) Numerical methods (4) Unit test 9 (1) Vectors (3) Unit test 12 (1) Spring 1 Exams 1 week (4) Exam review (2) Vectors (5) Unit test 5 (1) Mechanics Mathematical modelling (1) Unit test 6 (1) Integration (4) Unit test 7 (1) Statistics Data collection (3) Unit test 1 (1) Integration (12) Unit test 10&11 (1) Forces and friction (3) Unit test 5 (1) Applications of forces (3) Moments (3) Spring 2 Pure Exponentials and logarithms (6) Unit test 8 (1) Mechanics Constant acceleration – graphs and SUVAT (4) Unit test 7 (1) Statistics Measure of location and spread (5) Representations of data (4) Correlation (2) Unit test 2 (1) Unit test 4 (1) Applications of forces (3) Unit test 7 (1) Projectiles (4) Unit test 6 (1) Regression, correlation and hypothesis testing (4) Unit test 1 (1) Conditional probability (5) Unit test 2 (1) Summer 1 Mechanics Forces and motion(5) Unit test 8 (1) Variable acceleration (4) Statistics Probability (2) Unit test 3 (1) Statistical distributions (3) Unit test 4 (1) Hypothesis testing (3) Further kinematics (3) Unit test 8 (1) Normal distribution (6) Unit test 3 (1) Summer 2 Exams 1 week (4) Mechanics Unit test 9 (1) Statistics Hypothesis testing (1) Unit test 5 (1) A2 course Algebraic methods (5) Unit test (1) Proofs(1) Unit test (1) Functions and graphs (7) Unit test (1) Binomial expansion (3) Unit test (1)

There is also an opportunity for able mathematicians to study AS/A2 Further Maths:

 Year 12 Year 13 Autumn 1 Induction test Decision 1 Maths: Algorithms Graphs and networks Core Pure 1 Maths: Series Matrices Decision 1 Maths A2: The travelling salesman problem The simplex algorithm Further Mechanics 1 A2: Elastic collisions in two dimensions Core Pure 2 Maths: Series Autumn 2 Decision 1 Maths: Route inspection Linear programming  Critical Path analysis Core Pure 1 Maths: Linear Transformations Proof by induction Decision 1 Maths A2 Critical path analysis Core Pure 2 Maths: Complex numbers Methods in calculus Volumes of revolution Hyperbolic functions Spring 1 January trial exams Further Mechanics 1: Momentum and Impulse Work, power and energy  Core Pure 1 Maths: Volumes of revolution  Complex numbers Argand Diagrams January trial exams Core Pure 2 Maths: Polar Coordinates Methods in differential equations Spring 2 Further Mechanics 1: Elastic collisions in one dimension Core Pure 1 Maths: Roots of Polynomials Vectors Core Pure 2 Maths: Modelling with differential equations Review of vectors Summer 1 Revision for those taking the external exam Preparation for external exams Summer 2 Decision 1 Maths A2: Graphs and networks Route inspection Further Mechanics 1 A2: Momentum and Impulse Elastic strings and springs Internal exams External exams