Mathematics

Curriculum Subjects

Mathematics

See our Mathematics Curriculum below at Bentley Wood for KS3, KS4 and KS5

 

KS3 | Mathematics

Course Aims:  

In Key Stage 3 we encourage students to master core skills and confidence in mathematics. Our scheme of learning develops not only our students’ understanding of Mathematics but also its importance in their own lives and in society.  It prepares students to make informed decisions about the use of technology, the management of money, further learning opportunities and career choices.  Students gain experience of mathematical activities and develop their appreciation and enjoyment of mathematics. 

Course Content: There is a focus on fluency and mastery of key skills that will hold students in good stead for the next phase of their learning. In year 8 students build on prior knowledge and extend learning into the next level. 

  Year 7  Year 8 
Term 1  Number: Types of number, rounding, calculating, order of operations, fractions, decimals and percentages. 

 

Algebra: manipulating/forming expressions and substitution. 

 

Statistics: Data handling, averages, spread, graphs and charts. 

 

Geometry: Describing, measuring and constructing angles. Properties and classifications of shapes. 

 

Number: Factors, multiples, negatives, powers, roots, standard form, rounding estimating, fractions, decimals and percentages. 

 

Algebra: Expanding, factorising, manipulating expressions, forming/solving equations 

 

Statistics: Graphs, charts, averages, range and frequency tables. 

Term 2  Algebra: Forming and solving equations. 

 

Ratio and Proportion: Recipes, direct proportion, sharing and simplifying ratio. 

 

Geometry: Converting units, area, perimeter, plans, elevations, 3D drawings, 2D shapes and angles. 

 

Probability: Probability scale, two-way tables, sample space, experimental probability and relative frequency. 

 

Algebra: Rearranging, substitution, linear graphs. 

 

Geometry: Area, perimeter, 3D shapes, volume, , Pythagoras. 

 

Probability: Venn diagrams, theoretical and experimental probability. 

 

Ratio and Proportion: Direct/ inverse proportion and comparing ratio, rates of change. 

Term 3  AlgebraPicture sequences, linear sequences, generating sequences, position to term rules, term-to-term rules. 

 

Geometry: Rotation, reflection, translation, enlargement, constructing triangles and bisectors. 

 

Consolidation and revision for EOY assessment 

 

 

Geometry: Angles, Loci and Construction 

 

 

 

Consolidation & Preparation for GCSE course 

 

Trips and visits:High achievers are able to attend co-curricular competitions and represent the school in regional and state events, including competing in the UKMT junior mathematical challenge. 

Enrichment:At the end of the academic year the Mathematics departments leads on a Science, Technology, Engineering and Maths (STEM) based activity day, which requires students to apply Maths and Science concepts on different projects. Students have the opportunity to engage in weekly parallel challenges to gain an insight into interesting maths outside the national curriculum. 

Key Stage 4 & 5 / Career Progression: Students will go on to study GCSE mathematics at either higher or foundation level. Bentley Wood also offers an excellent A-level Mathematics & Further Mathematics course which includes pure maths, statistics and mechanics. Maths degrees are often regarded as stimulating, highly rated, well-paid and valued by employers and maths graduates can go on to work in a variety of fields including but not limited to banking and finance, aeronautics, engineering, accounting, science research, investment banking and actuarial studies. 

Recommended Reading:All students can access resources and revision materials remotely via the internet, especially use of Hegarty Maths which has the facility for monitoring students’ progress and providing teacher feedback and support. Students are encouraged to complete weekly challenges on parallel.org.uk.  

KS4 | Mathematics

 Exam board: Pearson/Edexcel 

Continuing with the delivery of the National Curriculum, this qualification encourages students to develop confidence in, and a positive attitude towards, mathematics and to recognise its importance in their own lives and society.  It prepares students to make informed decisions about the use of technology, the management of money, further learning opportunities and career choices.  Students gain experience of mathematical activities and develop their appreciation and enjoyment of mathematics. 

 

Content   
Number: 

Calculations, Rounding & Accuracy 

Bounds 

Fractions, Decimal, Percentages 

Ratio, Proportion 

Indices & surds 

Standard Form 

 

Algebra: 

Expressions, Formulae, Equations 

Solving equations & inequalities 

Graphical methods 

Transformation of graphs 

Sequences 

Functions 

Iteration 

Geometry & Measures: 

Properties of 2D & 3D shapes 

Units of measure 

Loci & construction 

Pythagoras 

Trigonometry 

Bearings 

Transformations 

Area, Perimeter, Volume 

Geometrical reasoning 

Vectors 

Congruence & Similarity 

Circle theorems 

Compound measures 

Statistics & Probability: 

Collecting & representing data 

Interpreting statistical graphs 

Averages & range 

Spread 

Data analysis & comparison 

Theoretical & experimental probability 

Product rule for counting 

Frequency trees 

Probability trees 

Dependent & independent events 

 

Method of assessment: 

Assessment takes place in every lesson with student being given oral feedback throughout the lesson. Teachers use a variety of tools to assess students in the lesson, e.g. mini white boards, cold calling, targeted questioning, etc. 

Formal assessments take place at the end of every half term. Results are used to clear any misconceptions in subsequent lessons. Students are given feedback and work to complete following every assessment as well as an improvement task. At the end of year 9 and year 10 there is a longer End of Year assessment consisting of two papers, one non calculator and one calculator. At the end of year 11 students are externally assessed by sitting their GCSE in Maths. 

Maths is a tiered subject, Foundation & Higher. The GCSE exam consists of three written papers, one non calculator and two calculator papers. Each paper is worth 33 1/3 % of the final GCSE grade. Each papers covers a range of different topics and consists of a range of question styles, from single mark questions to multi-step problem solving.  

Other qualifications:  

Level 2 Certificate in Further Mathematics (AQA) 

This course is offered to our most able mathematicians in year 10 & 11 and is assessed at the end of year 11. Students embarking on this course have to be fully committed, as it requires discipline and independent studying. It is most suitable for those students wanting to continue studying Mathematics at A level. 

Entry Level 1, 2 or 3 in Mathematics (Edexcel) 

The course is designed for students who find Mathematics challenging. It covers the basic numeracy skills and is assessed by the class teacher. There are two components in the assessment: one exam paper and a task. The study of topics complements their GCSE topics and students can sit this at any point during year 11. 

Recommended Reading 

  •  “The hidden Maths of everyday life” by Jordan Ellenberg 
  •  “Humble pi” by Matt Parker 
  •  “The art of Statistics” by David Spiegelhalter 
  •  “Do dice play God?: The Mathematics of uncertainty” by Ian Stewart 
  •  “The Simpsons and their Mathematical secrets” by Simon Singh 
  •  “Reaching for the moon: the autobiography of NASA mathematician Katherine Johnson” by Katherine Johnson

Enrichment 

  • Maths Club (on Teams for each year group) 
  • Maths Ambassadors  
  • UKMT intermediate & senior Maths challenge (years 9 to 11) 
  • Level 2 Further Maths (A level bridging course for year 10 and 11 top end students) 

Revision Guides 

Pearson 

Higher 

https://www.amazon.co.uk/REVISE-Edexcel-Mathematics-Higher-Revision/dp/1447988094/ref=sr_1_1?keywords=ISBN+9781447988090&qid=1579260826&s=books&sr=1-1 

Foundation 

https://www.amazon.co.uk/REVISE-Edexcel-Mathematics-Foundation-Revision/dp/1447988043/ref=sr_1_1?keywords=Pearson+Edexcel+GCSE+%289-1%29+Mathematics+Foundation+tier+Revision+Guide+%2B+App&qid=1637778981&s=books&sr=1-1 

 

CGP 

Higher Bundle 

https://www.cgpbooks.co.uk/secondary-books/gcse/maths/mxhcub42-gcse-maths-edexcel-revision 

Foundation Bundle 

https://www.cgpbooks.co.uk/secondary-books/gcse/maths/mxfcub42-gcse-maths-edexcel-revision 

 

KS5 | Mathematics

 

Is Mathematics the subject for you? 

Do you enjoy analysing and solving problems? Do you enjoy the challenge of finding a solution involving many logical applications and steps? Do you have a love of algebra? If the answer is yes, then mathematics is definitely the subject for you.   

Course content 

A series of Pure Mathematics concepts covered over 2 years along with Applied concepts composed of Statistics and Mechanics. When studying Mathematics at A2 and AS level you will be extending your knowledge of topics such as algebra and trigonometry as well as learning some brand new ideas such as calculus. You will learn to appreciate how these concepts serve as the foundation for other branches of mathematics. In statistics lessons, you will learn to analyse and summarise data in order to draw out statements that describe what the data is all about. In today’s society we are bombarded with information from a variety of sources. The Statistics content will give you the tools to look at this information critically and efficiently. In Mechanics, you will learn to apply mathematical calculations to the movement of objects and understand the forces that control movement and shape the world around us. 

Methods of study 

Mathematics is a very practical subject; it is not about learning facts or writing essays. You will learn by problem solving, working both independently and in groups, to find the best route to a solution. The use of graphical calculators enhances the approaches to teaching and learning and the quality of students’ involvement, interaction, and appreciation for the subject. Communicating in writing and in discussion, using the unique language of mathematics is crucial. 

How will it be examined?  

AS qualification will not count towards the final grade of an A Level and will be a separate qualification in its own right (Linear). Grade at AS will be based on two exams (one Pure and one Applied). Grade at A2 will be based on 3 exams (2 Pure and one Applied,)  

Career opportunities 

A qualification in Mathematics is very valuable as a supporting subject at A Level and degree level, especially in the sciences and geography, psychology, sociology and medical courses. A full A level Mathematics is a much sought-after qualification for entry to a wide variety of full-time courses in higher education. Mathematics is a very powerful A level to have. The skills developed in mathematics are highly regarded by many universities and employers. Good Mathematics qualifications open the windows of opportunity for a much wider choice of very exciting careers. They could lead to a career in medicine, teaching, accountancy, finance, business, architecture, aeronautics, economics, engineering, meteorology and many more. 

 

KS5 | Further Mathematics
Is Further Mathematics the subject for you? 

Further Mathematics is offered to those who achieve a grade 8 or 9 at GCSE and are also going to study A level Mathematics. This option would be beneficial for students wanting to study maths/science/computing based subjects at some of the top universities. If you wish to study Further Maths, you must choose Maths and Further Maths in two option blocks. 

Course content 

You can choose to complete the full Further Maths A level course consisting of 6 components (2 Further Pure Maths components which are compulsory and then select 2 additional papers from 4 options) or complete the Further Maths AS level course consisting of 3 components (1 Further Pure Maths and 2 papers from the 4 options papers). 

Methods of study 

The study of Pure mathematics develops logical thinking and a systematic approach to problem solving.  Most problems will focus on how the methods learnt can be applied in the areas of engineering and computing. The use of graphical calculators will enhance students’ appreciation for the subject.  

How will it be examined? 

AS qualification will not count towards the final grade of an A Level and will be a separate qualification in its own right (Linear).  

Career opportunities 

Those students who have studied for an AS or A level in Further mathematics will have had the opportunity to study more applied mathematics modules than those with just the single A level mathematics. This highlights the worth of the Further Mathematics qualification for those students who wish to study for Mathematics, Physics and Engineering degrees at university. The study of Pure mathematics develops logical thinking and a systematic approach to problem solving – attributes which are highly valued in the workplace. It is desirable qualification for Oxbrigde candidates.