# MATHEMATICS

## Overall Curriculum Principles & Intent:

Mathematics is a creative and highly inter-connected discipline, providing the solution to some of history’s most intriguing problems.
It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment.
We want to provide a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.
The mathematics curriculum 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 develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
• 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.

Mathematics is a subject in which pupils need to be able to move fluently between representations of mathematical ideas.
We recognise that some students arrive to our school with challenges in terms of their understanding of number, fluency of factual recall and fluency of mathematical procedures. The curriculum is designed to rapidly address, and remedy, any gaps in students’ knowledge and understanding.
The curriculum plan can adapt termly as teachers continue to monitor the impact of the curriculum and make adjustments in light of assessment data.

## Key Stage 3 ## Year 7

Topic Title SoL Subject Content (Knowledge)
Autumn
• Basic number rules, square, prime, factors, multiples numbers and BIDMAS
• Expand, simplify, substitution of algebra
• Patterns and sequences
• Basic angle rules and measurements
• Area and Perimeter including compound shapes
• Displaying and Interpreting data – Timetables and bar, line and pie charts
• Averages - Mean, median, mode, range
• Fractions
• Converting fraction to percentage to decimal
• Solving equations
Spring
• Properties of shapes
• Angles within parallel lines
• Conversion graphs
• Basic probability and outcomes
• Two way tables
• Percentage increase and decrease
• Transformation of shapes – Rotation, Reflection, Enlargement, Translation
Summer
• Congruency
• Introduction to Ratio
• Estimation
• Powers
• Prime factorisation
• Volume and Surface area
• Speed = distance / time
• Straight line graphs
• Forming equations
• Area / circumference circles and parts of a circle

## Year 8

Topic Title SoL Subject Content (Knowledge)
Autumn
• Basic number rules, square, prime, factors, multiples numbers and BIDMAS
• Ratio
• Expand, simplify, substitution of algebra
• Quadratic equations expanding and factorising
• Patterns and sequences
• Basic angle rules and measurements
• Area and Perimeter including compound shapes
• Area Trapezium
• Similar triangles ratio
• Displaying and Interpreting data – Timetables and bar, line and pie charts
• Averages - Mean, median, mode, range
• Mean from a table
• Boxplots
• Fractions
• Converting fraction to percentage to decimal
• Solving equations
Spring
• Properties of shapes
• Angles within parallel lines
• Loci and bearings
• Straight line graphs
• Conversion graphs
• Basic probability and outcomes
• Two way tables
• Tree diagrams
• Mutually exclusive and independent probabilities
• Percentage increase and decrease
• Inequalities
• Percentage change and compound interest
• Transformation of shapes – Rotation, Reflection, Enlargement, Translation
Summer
• Congruency
• Estimation
• Direct proportion
• Powers
• Prime factorisation
• Pythagoras
• Volume and Surface area
• Speed = distance / time
• Straight line graphs
• Forming equations
• Area / circumference circles and parts of a circle

## Year 9

Topic Title SoL Subject Content (Knowledge)
Autumn
• Ratio
• Unitary method
• Direct and inverse proportionality
• Expand, simplify, substitution of algebra
• Quadratic equations expanding and factorising
• Patterns and sequences
• Area and Perimeter including compound shapes
• Area Trapezium
• Similar triangles ratio
• Surface area cuboid and triangular prism
• Displaying and Interpreting data – Timetables and bar, line and pie charts
• Averages - Mean, median, mode, range
• Mean from a table
• Boxplots
• Cumulative frequency
• Algebraic Fractions
• Converting fraction to percentage to decimal
• Solving equations
Spring
• Properties of shapes
• Angles within parallel lines
• Interior and Exterior angles polygon
• Loci and bearings
• Circle theorems
• Straight line graphs
• Parallel and perpendicular equation of lines
• Conversion graphs
• Basic probability and outcomes
• Two way tables
• Tree diagrams
• Mutually exclusive and independent probabilities
• Percentage increase and decrease
• Inequalities
• Percentage change and compound interest
• Rearranging equations
• Transformation of shapes – Rotation, Reflection, Enlargement, Translation
Summer
• Congruency
• Tessellation
• Negative enlargement
• Estimation
• Direct proportion
• Powers
• Standard form
• Prime factorisation
• Pythagorus
• Volume and Surface area
• Plans and elevations
• Trigonometry
• Speed = distance / time
• Straight line graphs
• Forming equations
• Area / circumference circles and parts of a circle
• Units convertions

## Key Stage 4   ## Key Stage 5    ## GCSE Mathematics

Exam Board: Pearson EDEXCEL

Specification Number: 2216

Mathematics is the language of commerce, engineering and other sciences – physics, computing, biology etc. It helps us recognise patterns and to understand the world around us. Mathematics plays a vital, often unseen, role in many aspects of modern life, for example:

• Space travel
• Safeguarding credit card details on the Internet
• Modelling the spread of epidemics
• Predicting stock market prices
• For anyone who has a desire to run their own business

As society becomes more technically dependent, there will be an increasing requirement for people with a high level of mathematical training. Analytical and quantitative skills are sought by a wide range of employers. A degree in mathematics provides you with a broad range of skills in problem solving, logical reasoning and flexible thinking. This leads to careers that are exciting, challenging and diverse in nature.

Course Content:

The assessments will cover the following content headings:

1. Number: for example, fractions, decimals, percentages and accuracy in arithmetic;
2. Algebra
3. Ratio, proportion and rates of change: e.g. time, length, area, volume/capacity, mass, speed, rates of pay, prices, density and pressure;
4. Geometry and measures: area, volume, Pythagoras’ Theorem and Trigonometry;
5. Probability and Statistics

There will be a heavy focus on problem solving, drawing conclusions and communicating.

Mode of Assessment:

• The qualification consists of three equally-weighted written examination papers
• Paper 1 is a non-calculator assessment
• Papers 2 & 3 are calculator papers
• Each paper is 1 hour and 30 minutes long
• Each paper will cover all Assessment Objectives – so there will be no need to ‘second guess’ what topics may or may not be examined
• Foundation tier will cover grades 1 to 5 whilst the Higher tier will cover grades 4 to 9.

## A Level Mathematics

Exam Board: Pearson EDEXCEL

Specification Number:  9MA0

Level of Course: 3

Aims of the course:

Aims of the course in all new specifications for Mathematics, the emphasis is on providing a strong foundation for progress to further study. Importance is placed on representing situations mathematically, using models to investigate problems in context and being able to justify solutions. The enjoyment of tussling successfully with a complex mathematical problem cannot be underestimated.

Many of the topics studied in the course link to other subjects, such as forces in Physics, correlation in Geography and genetic probability in Biology. The skills gained from this course are sought after for entry to a wide range of university courses, not just Mathematics or Accountancy. The Russell group universities feel that it is a sound basis for all their courses and look favourably on applicants with A level Maths. The analytical side of the subject is recognised as useful in many areas of employment too. It is a good stepping stone to the next life stage whatever you choose to do.

Course content:

There are three main areas of study:

1. core mathematics,
2. mechanics and
3. statistics.

The core elements build on knowledge and skills gained at GCSE such as algebra, graphs and trigonometry. Topics from Mechanics include Newton’s laws, friction and moments. In Statistics, work is based around a large data set, for example weather data from a number of weather stations. Diagrams, statistical tests, analyses and inferences are covered in the context of the data and there is an expectation that the statistical functions of both the calculator and spreadsheet software will be utilised effectively.

How is the course assessed?

This course is assessed only through written examinations. There are three exams, each of which is two hours long.

## Get in touch

Miss Sam Rogers, School Business Manager

Longlands