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Mathematics

KS3

SUBJECT - Mathematics

Overview of course

The aim of the KS3 course is to provide a skills based programme of lessons to embed the key mathematical concepts in preparation for the KS4 GCSE Mathematics course.

The National Curriculum strategy at KS3 now requires the use of new level descriptors for progress: Emerging, Developing, Securing and Mastery. In addition we have added a further level of Mastery Plus for the most able students comprising of extension tasks to develop the student’s high level problem solving skills.

Programme of study

Year 7

Year 8

Year 9

Algebraic Thinking

  • Sequences
  • Equality & equivalence
  • Solving equations

Place value and Proportion

  • Place value
  • Ordering integers & decimals
  • Converting between fractions, decimals & percentages

Application of number

  • Addition, subtraction, multiplication problems
  • Finding a fraction & percentage of an amount

Directed number

  • Four operations with negative numbers

Fractional thinking

  • Adding & subtracting fractions

Lines and angles

  • Constructions & measuring lines ,  angles & triangles
  •  Using angle rules

Reasoning with number

  • Mental arithmetic strategies
  • Estimation

Proportional Reasoning

  • Ratio & scale
  • Multiplying & dividing fractions

Representations

  • Coordinates & straight line graphs
  • Representing data  using scatter diagrams, frequency tables & two way tables

Algebraic techniques

  • Brackets, equations & inequalities
  • Sequences and Nth term
  • Indices

Developing number

  • Percentage problems
  • Standard form
  • Metric conversions
  • BIDMAS

Developing geometry

  • Angles in parallel lines & polygons
  • Area
  • Symmetry

Reasoning with data

  • Collecting & interpreting data
  • Averages

 

Reasoning with algebra

  • Straight line graphs
  • Forming & solving equations & inequalities

Constructing in 2D and 3D

  • Faces, edges & vertices
  • Naming shapes
  • Volume

End of Key Stage Revision and preparation for GCSE.

 

 

Skills / Knowledge / understanding

 

The syllabus has been created to meet the requirements of the new National Curriculum strategy at KS3.

Students’ progress through carefully considered topics in order to build on knowledge from KS2 and improve fluency, reasoning and problem solving. Each topic is taught with clear models with an emphasis on links to other subjects around the school and real life context.  Additional support is provided by our mathematics tutor for chosen students to boost their progress in maths

There is an optional Maths Challenge enrichment choice for students to further explore mathematics.

Methods of assessments / accreditation structure

 

Students’ progress is monitored using end of topic assessments and cumulative testing which takes place in terms 2, 4 and 6.

Homework is issued in the form of written worksheets and through the online resource HegartyMaths.com which students have an account with to use for homework and revision.

The quality and quantity of classwork is tracked and extra support is given when required.

The Edexcel Mathematics award qualification is offered during mentor time to students who wish to extend their level of understanding of key high level mathematical skills. Examinations take place in January and May.

How Parents and Carers can help

Students need support from home with making sure they have a scientific calculator, equipment such as a pair of compasses and protractor and help with homework and revision.

Parents should encourage students to use the hegartymaths.com to help develop independent learning skills and address areas of weakness.

Real life experience of maths is essential for young people to understand; we see the most progress in students who apply mathematics in real life situations e.g. when shopping parents ask their children to calculate change or work out how much a discount will be using percentages. Things like reviewing utility bills and simple mathematics like telling the time are also great ways parents can support their children with understanding why maths is important.



KS4

SUBJECT      GCSE Mathematics

Exam Board  -  Edxcel

Overview of course KS4

As a department we aim to show that mathematics is a creative and highly inter-connected discipline that has been developed over thousands of years, 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. A high-quality mathematics education therefore provides 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.

Key Stage 4 is a 2.5 year course starting in the middle of year 9; these are the final years of study leading up to the GSCE exams in Year 11; the school uses the Edxecel Examination board for both foundation and higher tiers.

We have developed our curriculum to encompass level descriptors of 9 – 1 which have replaced the A* to G grading. The requirement for GCSE passes are now grade 4 (lower pass) and grade 5 (upper pass) rather than the previous grade C. In addition the scheme of work has been designed to allow students greater flexibility to change sets and tiers right up until Year 11; leaving the more challenging higher content until the final stages of the course. We aim to have completed the schemes of work  by around January of Year 11, the final months running up to the GCSE exam are taken up with revision, exam practice and technique.

Year 9 Programme of study

Both tiers cover the same broad topics however the higher tier will cover these at a greater depth. The scheme of work is to return to subjects at an appropriate level to further their understanding; so topics are revisited  in consequent years or terms to consolidate understanding and build upon prior knowledge. The topics covered may run into other terms to be competed and started early depending upon the requirements of the individual class.

FOUNDATION                                                                 HIGHER

Term 1                                                                                Term 1

Basic Number Skills                                                          Number Skills

Converting Metric Units of Measurement                 Fractions

Term 2                                                                               Term 2

Factors Multiples and Primes                                       Statistics

Statistics                                                                             Ratio and Proportion

Term 3                                                                               Term 3

Rounding and Approximation                                     Sequences

Angles                                                                                Angles

Term 4                                                                             Term 4

Fractions                                                                           Algebra – Simplifying

Algebra – Simplifying                                                   Transformations

Term 5                                                                              Term 5

Ratio                                                                                   Length, area and volume

Probability                                                                        Linear Graphs

Term 6                                                                             Term 6

Linear Graphs                                                                 Similarity

Perimeter and Area                                                      Pythagoras’ Theorem and Trigonometry

 

Year 10 Programme of study

Both tiers cover the same broad topics however the higher tier will cover these at a greater depth. The scheme of work is cyclical in design; so topics are revisited  in consequent years or terms to consolidate understanding and build upon prior knowledge. The topics covered may run into other terms to be competed and started early depending upon the requirements of the individual class.

 

FOUNDATION                                                 HIGHER

Term 1                                                             Term 1

Transformations                                               Probability

Algebra – Linear Equations                              Algebra – Linear Equations and Inequalities

Term 2                                                              Term 2

Percentages                                                     Indices and Standard Form

Constructions and Loci                                     Simultaneous Equations

Term 3                                                              Term 3

Volume and Surface Area                                 Choices and Outcomes, Accuracy and Surds

Statistics                                                            Algebra – Quadratic Equations

Term 4                                                               Term 4

Sequences                                                         Probability – Combined events

Volume Curved Shapes and Sectors                 Properties of circles

Term 5                                                                Term 5

Probability                                                           Variation – direct inverse proportion

Similarity and Congruence                                 Trigonometry – sine cosine rules

Term 6                                                                Term 6

Direct and Inverse Proportion                             Trigonometry continued 3D problems        

Probability – Venn Diagrams                               and Plotting Functions

                            

                            

Year 11 Programme of study

Year 11 is designed to have fewer topics to allow revision and exam practice as exams start in May.

 

FOUNDATION                                                                   HIGHER

Term 1                                                               Term 1

Pythagoras’ Theorem                                                        Distance Time graphs Velocity Time graphs

Indices and Standard Form                                             Rates of Change

Term 2                                                               Term 2

Trigonometry                                                                        Algebraic Fractions

Algebra - Simultaneous Equations and                       Functions

Inequalities  

Term 3                                                               Term 3

Algebra – Non-Linear Graphs                                         Vector Geometry

Revision                                                                                  Revision

Term 4                                                               Term 4

Revision                                                                                  Revision

Term 5/6                                                           Term 5/6

GCSE Exams start                                                                GCSE Exams start

 

SUBJECT -  GCSE Mathematics

 

Exam Board -   Edxcel

 

Skills / Knowledge / Understanding

 

The Key Stage 4 course follows the new, more challenging, GCSE syllabus with a greater emphasis on:

  • Understanding mathematical methods and concepts.
  • Application of Mathematical techniques to solve problems.
  • Proof of concepts in abstract and practical contexts.

The curriculum is designed and intended to enable students to:

  • develop fluent knowledge, skills and understanding of mathematical methods & concepts, acquire, select and apply mathematical techniques to solve problems.
  • reason mathematically, make deductions and inferences and draw conclusions.
  • comprehend, interpret and communicate mathematical information in a variety of forms appropriate to the information and context.

Methods of assessment / accreditation structure

 

In both Key stages we monitor student progress by carrying out continual topic assessments and cumulative testing, from this collated data informed decisions can be made regarding changing settings or exam tiers. In addition there may be the offer of additional support or interventions to students that are finding difficulties accessing the subject.

The final GCSE Examinations for both the Foundation and Higher Tiers are now split into three papers:

  • Paper 1      Non-Calculator
  • Paper 2      Calculator
  • Paper 3      Calculator

All papers are out of a total of 80 marks and each lasts 1 hour 30 minutes.

The new grading structure for GCSE:

Foundation Paper Levels: U 1  2  3  4  5

Higher Paper Levels:       U 4 5 6 7 8 9

Level U being a fail or non-attendance to the exam and recognised pass levels being Level 4 and above.

To determine the student’s final grade the mean score is taken from the results of the three papers and one of the levels are assigned.

In School Contacts

Maths staff:

Miss Robinson – Head of Mathematics Department- (srobinson@saa.woodard.co.uk)
Mrs Thompson –Maths - (jthompson@saa.woodard.co.uk)
Mrs Wyatt- Maths - (twyatt@saa.woodard.co.uk)
Miss Lovibond - Maths - (zlovibondt@saa.woodard.co.uk)
Miss Adams - Maths - (sadams@saa.woodard.co.uk)
Mr Morrish - Maths - (kmorrish@saa.woodard.co.uk)

 

How Parents and Carers can help

 

 

Homework is set for students every week of term in both KS3 and KS4; ensuring your child completes the tasks set will enhance their understanding of the topics. If this independence study is not consistently completed it is likely to have a negative influence of at least one level of acheivement in the studet’s final GCSE attainment.

Attendance matters: if a student’s attendance is less than 90% then they have a 7% probability of reaching their target grade (90% equates to missing one lesson every two weeks in Year 11). However if attendance is greater than 95% then students have a 70% probability of reaching their target grade. You are ten times more likely to succeed by attending lessons. We understand that there are circumstances when students cannot attend school but please contact the student’s teacher who will assign work for them when out of lessons.

Equipment Students are required to have:

  • Scientific calculator – e.g. Casio fx-83GT new model Casio fx-83GTX or Sharp EL531
  • Pair of compasses
  • Protractor

In addition to:

  • Pens (black or blue and green)
  • Pencil
  • Eraser
  • Pencil Sharpener
  • Ruler (30cm)

Software and Websites used

  • www.hergartymaths.co.uk

*Every student is assigned a login to Hegarty Maths; their online homework will be set on this website. Hegarty Maths is an excellent online mathematics’ resource comprising of tutorials, questions and worksheets on every topic covered by the curriculum. We encourage students to use this to assist with written homework, cover missed work through absence and to recap or revise topics.

Other recommended Websites are:

www.bbc.com/bitesize

www.corbettmaths.com

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