## Mathematics Department

In the Mathematics Department our teaching team consists of the following members of staff:

• Miss R Lee (Curriculum Leader)
• Mrs L Gee (Assistant Curriculum Leader)
• Miss M Naylor
• Mr F Shinks
• Miss L Morgan
• Miss O Walsh
• Miss O Hobson
• Mr D Wilcock

## Year 7

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

Statistics

Year 7 are placed in sets at the beginning of the academic year. Setting is planned using the KS2 scores, CATs testing and an in-class numeracy test. Content followed includes:

• Finding the mean, median, mode and range
• Bar Charts
• Pictograms
• Collecting Data
• Questionnaires

Number

The level of depth and complexity covered at each topic well depend on the ability of the set. The topics include:

• Using the four operations with whole numbers.
• Using the four operations with decimal numbers.
• Working with Factors and Multiples and Primes
• Negative Numbers
• BIDMAS
• Powers and Roots

Algebra

The level of depth and complexity covered at each topic well depend on the ability of the set. The topics include:

• Collecting like terms
• Substitution
• Solving simple equations.
• Sequences
• Create and use formulae

Shape and Space

The level of depth and complexity covered at each topic well depend on the ability of the set. The topics include:

• Time
• Work with timetables
• Understand the properties of 2D/3D shapes
• Use a protractor to measure angles accurately
• Use simple angle properties in problem solving

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Christmas holiday.

#### Term 2

Number

Topics include

• Finding a fraction of an amount
• Cancelling fractions
• Finding equivalent Fractions
• Multiplying and dividing fractions
• Finding simple percentages
• Finding one number as a percent of another
• Find percentage increase/decrease

Algebra

Topics include

• Working with coordinates in all four quadrants
• Working with straight line graphs
• More complex substitution
• Solving linear equations with more than 3 terms.

Shape and Space

Topics include

• Working with area of triangles and compound shapes
• Working with volume
• Construction

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Easter holiday.

#### Term 3

Algebra

Topics include

• Expanding brackets
• Factorising
• Constructing and then solving linear equations
• Trial and improvement

Shape and Space

Topics include

• Reflection
• Rotation
• Translation
• Enlargement
• Using a combination of the transformations

Statistics

Topics include

• Use vocabulary associated with Probability
• Calculate the probability of a simple event.
• Understand mutually exclusive events
• Understand probability adds up to 1 and use this to solve problems
• Carry out simple experiments and record and represent the data accordingly

Assessment - All classes will complete an end of year assessment covering the content from all of the above.

## Year 8

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

Statistics

The level of depth and complexity covered at each topic will depend on the ability of the set. The topics include:

• Finding the mean, median, mode and range
• Probability
• Constructing Pie Charts
• Venn and Carroll diagrams
• Scatter graph
• Questionnaires

Number

The level of depth and complexity covered at each topic will depend on the ability of the set. The topics include:

• Rounding to the nearest 10, 100 1000 and to one decimal place
• Add and subtract simple fractions
• Recognise and use Factors, Multiples and Primes
• Find the HCF and LCM
• Find products of prime factors
• Make estimates and approximations of calculations

Algebra

The level of depth and complexity covered at each topic will depend on the ability of the set. The topics include:

• Multiply a single term over a bracket
• Use simple instances of the index laws
• Sequences
• Use simple formulae from mathematics and other subjects
• Collect like terms
• Simplify expressions by taking out single term common factors

Shape and Space

The level of depth and complexity covered at each topic will depend on the ability of the set. The topics include:

• Vertices, faces and edges
• Reflection
• Rotation
• Translation
• Find the midpoint of a line segment
• Construct triangles

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Christmas holiday.

#### Term 2

Number

Topics include

• Order decimals to three decimal places
• Change fractions to decimals and percentages
• Bidmas
• Multiply an divide three-digit by two-digit whole numbers
• Multiply and divide a fraction by a fraction
• Find percentage increase/decrease

Algebra

Topics include

• Substitute positive integers into linear expressions
• Generate terms of a sequence given a rule
• Use and interpret coordinates in all four quadrants
• Plot the graphs of simple linear functions
• Construct and solve linear equations with the unknown on both sides
• Use trial and improvement to solve equations

Shape and Space

Topics include

• Classify quadrilaterals by their properties
• Make scale drawings
• Angles
• Congruent shapes
• Area of triangles, parallelograms and trapezium
• Interior and exterior angles of polygons

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Easter holiday.

#### Term 3

Algebra

Topics include

• Expanding brackets
• Factorising
• Constructing and then solving linear equations
• Trial and improvement

Number

Topics include

• Bidmas
• Multiply and divide decimals
• Recurring decimals
• Convert fractions to decimals and percentages
• Ratio
• Laws of indices

Statistics

Topics include

• Interpret Pie Charts
• Construct and use a stem and leaf diagram
• Draw Scatter graphs
• Understand probability adds up to 1 and use this to solve problems
• Create and use Sample Space diagrams
• Understand Mutually Exclusive events

Assessment - All classes will complete an end of year assessment covering the content from all of the above.

## Year 9

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

Statistics

The level of depth and complexity covered at each topic will depend on the ability of the set. The topics include:

• Finding the mean, median, mode and range
• Interpret pie charts and draw conclusions
• Identify mutually exclusive events
• Probability
• Draw frequency diagrams and frequency polygons
• Draw scatter graphs

Number

The level of depth and complexity covered at each topic will depend on the ability of the set. The topics include:

• Round to the nearest 10, 100, 1000 and to one decimal place
• Use multiples, factors and primes
• Find the HCF and LCM
• Express a number as a product of its primes
• Use percentages to compare proportions
• Calculate percentage increase and decrease

Algebra

The level of depth and complexity covered at each topic will depend on the ability of the set. The topics include:

• Collecting like terms
• Substitution
• Multiply a single term over a bracket
• Generate sequences from patterns
• Use and interpret coordinates in all four quadrants
• Use trial and improvement to solve equations

Shape and Space

The level of depth and complexity covered at each topic will depend on the ability of the set. The topics include:

• Vertices, faces and edges
• Reflection
• Rotation
• Translation
• Find the midpoint of a line segment
• Constructions

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Christmas holiday.

#### Term 2

Number

Topics include

• Change fractions to decimals and percentages
• Use squares/square roots, cubes/cube roots
• Use Bidmas to solve problems
• Make estimates and approximations of calculations
• Finding one number as a percentage of another
• Use ratios
• Express numbers in standard form

Algebra

Topics include

• Use simple formulae from mathematics and other subjects
• Construct and solve simple equations
• Use linear expressions to describe the nth term
• Substitute positive integers into expressions involving small powers
• Solve linear equations with unknowns on both sides
• Expand the product of two linear expressions

Shape and Space

Topics include

• Classify quadrilaterals by their properties
• Find the area of triangles parallelograms and trapezium
• Scale drawings
• Convert metric units
• Find interior and exterior angles of polygons
• Enlarge shapes given a centre of enlargement and a positive scale factor

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Easter holiday.

#### Term 3

Algebra

Topics include

• Generate terms of a sequence given a rule
• Plot graphs of linear functions
• Use index laws
• Use trial and improvement to solve equations
• Solve linear inequalities
• Solve simultaneous equations

Number

Topics include

• Use negative numbers
• Use recurring decimals
• Use direct proportion
• Calculate percentage increase and decrease
• Use index notation with negative and fractional powers
• Use a calculator to perform complex calculations

Statistics

Topics include

• Questionnaires
• Use two-way tables for recording discrete data
• Construct and use stem and leaf diagrams
• Use relative frequency to estimate probability
• Compare two sets of data
• Probability

Assessment - All classes will complete an end of year assessment covering the content from all of the above.

## Year 10 (Foundation)

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

• Integers and decimals
• Factor and multiples
• Laws of indices
• Fractions
• Percentages
• Collecting data
• Displaying data, charts and graphs
• Averages
• Scatter graphs and correlation
• Ratio and scale

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Christmas holiday.

#### Term 2

• Introduction to algebra
• Algebraic manipulation
• Formulae
• Probability
• Patterns and squares
• Linear graphs y = mx + c

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Easter holiday.

#### Term 3

• Lines and angles
• Shapes and angles
• Circles
• Metric, imperial and compound units
• Area, perimeter & volume
• 3-D shapes, symmetry and similarity

Assessment - All classes will complete an end of year assessment covering the content from all of the above.

## Year 10 (Higher)

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

• Integers and decimals
• Factor and multiples
• Laws of indices
• Fractions
• Percentages
• Standard form
• Collecting data
• Displaying data, charts and graphs
• Averages
• Scatter graphs and correlation
• Ratio and scale
• Introduction to algebra
• Formulae

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Christmas holiday.

#### Term 2

• Patterns and sequences
• Linear graphs
• Lines and angles
• Angle facts
• Median and interquartile range
• Circle geometry
• Units, Estimating and reading scales
• Area, perimeter and volume

Assessment - All classes will complete assessments covering the skills from the above content in the week before half term and the week before the Easter holiday.

#### Term 3

• Probability
• Area, perimeter and volume
• 3 D shapes, symmetry and tessellations
• Curved graphs
• Lines and angles
• Histograms
• Metric, imperial and compound units

Assessment - All classes will complete an end of year assessment covering the content from all of the above.

## Year 11 (Foundation)

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

• Algebraic manipulation
• Solving Linear equations and inequalities
• Substitution and changing the subject
• Trial and Improvement
• Drawing and Interpreting graphs
• Polygons
• Transformations
• Construction, loci, similarity and congruency
• Pythagoras’ theorem

#### Assessment - All classes will complete assessments covering the skills from the above content.A mock exam will also take place in early DecemberTerm 2

• 3D shapes, nets and plans
• Circles and cylinders
• Handling data

## Year 11 (Higher)

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

• Standard form
• Factorising and algebraic fractions*
• Solving linear equation & inequalities
• Circle theorems
• Substitution & changing the subject
• Straight line graphs
• Simultaneous equations & inequalities
• Upper and lower bounds/Direct &Inverse proportionality*
• Trial and Improvement/ Quadratic functions
• Curved graphs
• Transformations
• Transforming graphs*
• Construction, loci, similarity and congruency
• Handling data revision *Set 1 only

Assessment - All classes will complete assessments covering the skills from the above content.

#### Term 2

• Pythagoras & Trig in 2D
• Applications of Pythagoras/Trigonometry in 3D*
• Trigonometry in non-right angled triangles
• Circles, cones, pyramids and spheres
• Handling data revision
• Similar shapes & Vectors* *Set 1 only

## Year 12

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

CORE 1

The AS course follows the AQA exam board.

The students initially cover the higher end topics from GCSE in preparation for the level of Algebra required for this course.

Key topics covered in Core 1 are:

• Surds
• Solving simultaneous equations
• Coordinate Geometry
• Equations of normals and Tangents
• Circle Geometry
• The discriminant
• Differentiation
• Applications of Differentiation
• Optimisation
• Integration

There is homework set throughout the course from the AQA text book and from previous exam questions. Pupils are also accessed in a mock Core 1 exam in December.

#### Term 2 and Term 3

The pupils follow the Core 2 and Statistics modules from January up to May for the summer exams.

Core 2

Building on the content from Core 1 the pupils progress on to the Core 2 unit.

Key topics covered in the Core 2 part of the course are:

• Indices
• Differentiation
• Applications of Differentiation
• Integration
• Trapezium Rule
• Logarithms and using Log Laws
• Geometric Sequences
• Arithmetic Sequences
• Trigonometry
• Binomial Distribution
• Area and perimeter of Sectors
• Transformations of graphs.

Statistics 1

This part of the AS course which looks at the application of Mathematics.

Key parts of this course are:

• The introduction of statistics including key vocabulary and a recapping knowledge from GCSE
• Numerical measures
• Probability
• Binomial distribution
• The normal distribution
• Confidence intervals
• Correlation
• Regression

This part of the course also required the use of a graphical calculator which is loaned by the department to the pupils.

Throughout the two terms the pupils are assessed via the AQA textbooks or previous exam questions as homework.

Pupils are also entered in a mock for both units in preparation for the exam in the summer.

## Year 13

Please refer to the information below for details of the course content for this school year. You will also find information in each section relating to the assessments that will take place during each term. Please contact me at school if you require additional information.

#### Term 1

The pupils follow the Core 3 and Decision modules from September.

Core 3

Key topics covered in Core 3 are:

• Functions
• Transformations of graphs
• The modulus function
• Inverse trigonometric functions
• The number e and calculus
• The chain rule
• Numerical solution of equations and iterative methods
• Differentiation using the product and quotient rule
• Integration by inspection and substitution
• Integration by parts and standard integrals
• Volume of revolution and numerical integration

Decision

Key topics covered in the Decision module are:

• Minimum connectors
• Dijkstra’s algorithm
• Chinese postman problem
• Travelling salesman problem
• Graph theory
• Matchings
• Sorting algorithms
• Algoithms
• Linear Programming

There is homework set throughout the course from the AQA text book and from previous exam questions. Pupils are also assessed in mock Core 3 and Decision papers in December.

#### Term 2 and Term 3

The pupils follow the Core 4 module from January until May for the summer examination.

Core 4

Key topics covered in the Core 4 module are:

• Binomial series expansion
• Rational functions and division of polynomials
• Partial fractions and applications
• Implicit differentiation and applications
• Parametric equations for curves and differentiation
• Further trigonometry with integration
• Exponential growth and decay
• Differential equations
• Vector equations of lines

Throughout the two terms the pupils are assessed via the AQA textbooks or previous exam questions as homework.

Pupils are assessed by a mock paper in preparation for the examination in June.