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Maths

Intent

Maths is for everyone. It is diverse, engaging and essential in equipping students with the right skills to reach their future destination, whatever that may be. The teaching of mathematics enables students to be able to form their own conclusions, as it teaches them how to solve problems using logical steps and procedures.

Students follow the National Curriculum which aims to ensure that all pupils become fluent in the fundamentals of mathematics, reason mathematically and can solve problems by applying their mathematics to a variety of routine and non-routine situations.

The content is organised into broad topic areas:

• Number
• Algebra
• Ratio, proportion and rates of change
• Geometry and measures
• Probability
• Statistics

Curriculum Map

Further details from S.Biggar@barnwell.herts.sch.uk

 KS4 Course: Y10 Content Y10 Key Assessment Y11 Content Y11 Key Assessment Autumn 1 Foundation: Number Properties; Expressions and Formulae; Higher Number and sequences; Length and area; Summative Unit Test: Test 1   6 x chapter questions Foundation:  Trigonometry  Simultaneous Equations Higher:  Quadratic equations – solving algebraically Distance/velocity time graphs;  Acceleration Summative Unit Test: Test 1 6 x practice papers H/W Autumn 2 Foundation: Perimeter and Area; Decimals and Fractions; Higher Volume; Equations and inequalities; Right angled triangles - Pythagoras’ Theorem Summative Unit Test: Test 1   6 x chapter questions Foundation:  Representing and interpreting statistics;  Powers and Standard Form   Higher   Vectors   Quadratic Equations – plotting graphs Pre public exams 1 GCSE exam – 3 papers  3 x practice papers H/W Spring 1 Foundation Volumes and surface area of prisms; Percentages and compound Measures; Higher Algebraic manipulation; Similarity Summative Unit Test: Test 1   6 x chapter questions Foundation:  Congruency and similarity  Non linear graphs Higher:  Quadratic graphs;  Algebraic fractions Combined events Summative Unit Test: Test 2   6 x practice papers H/W Spring 2 Foundation:  Linear equations;  Expressions and formulae  Percentages Higher:  Right angles triangles - trigonometry Sampling and more complex diagrams Summative Unit Test: Test 1   6 x chapter questions Foundation:  Exam preparation and revision  Higher:  Composite functions and iteration Advanced trigonometry;  Trigonometric graphs; Pre public exams 1 GCSE exam – 3 papers  3 x practice papers H/W Summer 1 Foundation Curved shapes and pyramids; Probability – combined events Higher Counting; accuracy, powers and surds; Equations and inequalities Summative Unit Test: Test 1   6 x chapter no change questions Foundation:  Exam preparation and revision  Higher:  Exam preparation and revision 6 x practice papers H/W Summer 2 Foundation:  Pythagoras Theorem;  Numbers and sequences  Higher:  Circle Theorems;  Limit of accuracy;  Permutations and combinations End of Year 10 GCSE exam – 3 papers  3 x chapter questions H/W N/A N/A

Further details from S.Bowles@barnwell.herts.sch.uk

 KS5 Course: Y12 Content Y12 Key Assessment Y13 Content Y13 Key Assessment Autumn 1 Algebra and Functions   Coordinate geometry in the (x,y) plane Baseline Test   Weekly questions H/W   Half Term Assessment Functions and modelling   Series and sequences   The binomial theorem   Trigonometry Weekly questions H/W   Half Term Assessment Autumn 2 Further algebra   Differentiation   Trigonometry Weekly questions H/W   Half Term Assessment Differentiation   Parametric equations   Integration 1   Vectors (3D) Weekly questions H/W   2 x AS Mock exams Spring 1 Vectors (2D)   Integration   Exponentials and logarithms Weekly questions H/W   Half Term Assessment Integration 2   Numerical methods   Regression and correlation   Probability Weekly Practice Paper Spring 2 Statistical sampling   Data presentation and interpretation   Quantities and units in mechanic   Kinematics 1   Forces and Newton’s laws 1 Weekly questions H/W   Half Term Assessment The Normal distribution   Moments   Forces at any angle   Application of kinematics   Application of forces Weekly Practice Paper   2 x AS Mock exams Summer 1 Probability   Statistical distributions   Statistical hypothesis testing   Forces and Newton’s Laws 2   Kinematics 2 Weekly questions H/W   Half Term Assessment The Normal distribution   Further Kinematics   Revision Weekly Practice Paper   1 x AS Mock exams Summer 2 Revision   Proof   Algebraic and partial fractions Weekly questions H/W   2 x AS Mock Exams Revision Weekly Practice Paper   Formal assessment

Further details from S.Bowles@barnwell.herts.sch.uk

The Mathematics department is of fundamental importance in any school, and no less so at Barnwell. We look for success in both academic performance and in the development and progress of the students.

The staff are well-qualified, experienced practitioners who take great pride in their practice and their professionalism and thoroughly enjoy their subject.

All students follow a structured scheme of work that prepares them well for public exams. It also challenges them to think, to take an active role in lessons and helps them become independent learners.

AIMS OF THE COURSE

In Key stages 3 and 4 students will be provided with a rich experience of maths, enabling them to understand its importance in analysing problems related to both the real world and to mathematics itself.

The AQA mathematics GCSEs will give students more opportunities to see how mathematics works in the real world (applications) and to engage in conceptual thinking (methods). Problem solving forms an integral part of the mathematics curriculum.

We provide all GCSE students the ability to access the online Collins textbooks.

COURSE CONTENT

Students will study six main topic areas:

Number

Algebra

Ratio, proportion and rates of change

Geometry and Measures

Probability

Statistics

Students will be expected to have a scientific calculator. The teacher will tell students which would be the best to get.  Students will learn how to use it properly and recognise when you make a mistake.

There are now a revised set of Assessment Objectives, with an emphasis on decreasing rote learning and more problem solving, that will often require multi-step solutions. Questions in assessments will be less clearly structured and more open ended, frequently set within real world contexts. These fall into three bands:

Use and apply standard techniques

Students should be able to:

• accurately recall facts, terminology and definitions
• use and interpret notation correctly
• accurately carry out routine procedures or set tasks requiring multi-step solutions

Reason, interpret and communicate mathematically

Students should be able to:

• make deductions, inferences and draw conclusions from mathematical information
• construct chains of reasoning to achieve a given result
• interpret and communicate information accurately
• present arguments and proofs
• assess the validity of an argument and critically evaluate a given way of presenting information

Solve problems within mathematics and in other contexts

Students should be able to:

• translate problems in mathematical or non-mathematical contexts into a process or a series of mathematical processes
• make and use connections between different parts of mathematics
• interpret results in the context of the given problem
• evaluate methods used and results obtained

• evaluate solutions to identify how they may have been affected by assumptions made.

METHOD OF STUDY

Students will be in a set that is working together at one of two levels, foundation or higher depending upon ability.  Some of the time students will be listening, sometimes they may be working silently on their own; at other times they will be discussing an idea with the teacher or their set.  Students will be given opportunities to work in small groups in a problem solving activity or investigation.  Students will also work in some of these activities by themselves.  Students will have an exercise book for their work and you will require a scientific calculator in all lessons.

METHOD OF ASSESSMENT

At the end of the GCSE course students will complete three exams. Paper 1 is non-calculator and equates to 33.3% of the final exam grade, papers 2 and 3 are calculator and equates to 33.3% each of the final exam grade. Grades 1 - 9 will be awarded. Students will be assessed throughout the course to ensure that targets are achieved.

Full time Teaching Staff:

Sharon Bowles - Head of Faculty - Email: S.Bowles@barnwell.herts.sch.uk

Stephanie Biggar - Head of KS3 - Email: S.Biggar@barnwell.herts.sch.uk

Perumal Naicker - Teacher - Email: P.Naicker@barnwell.herts.sch.uk

Matt Roberts - Head of School - Email: M.Roberts@barnwell.herts.sch.uk

Kim Collier - Teacher - Email: K.Collier@barnwell.herts.sch.uk

Jordan Harris - Teacher - Email: J.Harris@barnwell.herts.sch.uk

Michelle Shearer – Teacher – Email: M.Shearer@barnwell.herts.sch.uk

Sandra Farquharson – Intervention Teacher – Email: S.Farquharson@barnwell.herts.sch.uk

Jane Gibson – Intervention Teacher – Email: J.Gibson@barnwell.herts.sch.uk

Gloria Woodard – Intervention Teacher – Email: G.Woodard@barnwell.herts.sch.uk

Cody Kendrick – Teacher – Email: C.Kendrick@barnwell.herts.sch.uk

Alice Mitchell – Teacher – Email: A.Mitchell@barnwell.herts.sch.uk

Kyri Neocleous – Teacher – Email: K.Neocleous@barnwell.herts.sch.uk

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