Maths
Mathematics at John Kyrle High School is one of the school’s most popular subjects and we are really proud to have a dedicated, purpose-built Maths block. In Maths, students and teachers work together to create a positive learning atmosphere and we hope students make the most of the opportunities that learning maths at JKHS offers them.
- Teaching Staff
- Key Stage III
- Key Stage IV
- Key Stage V
- Yr 9 Support
- Yr 10 Support
- Yr 11 Support
- KS5 Support
- Equipment Prices
- Easter School Resources
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Teaching Staff
Miss J Costa Penny – Head of Department & Head of KS4 Maths, email: j.costapenny@jkhs.org.uk
Mr L Moseley – Head of KS5 Maths, email: lukeMoseley@jkhs.org.uk
Miss Z Sharp – Head of KS3 Maths, email: zoesharp@jkhs.org.uk
Mrs J Markey (Head of Year 7), email: juliemarkey@jkhs.org.uk
Mr M Penny (Head of Year 10), email: m.penny@jkhs.org.uk
Mrs N Field, email: n.field@jkhs.org.uk
Miss A Ferguson, email: a.ferguson@jkhs.org.uk
Mr G Miles, email: g.miles@jkhs.org.uk
Ms C Scanlan, email: c.scanlan@jkhs.org.uk
Mr J Evans, email: j.evans@jkhs.org.uk -
Key Stage III Overview
On arrival at JKHS, students will be placed into interim sets for Mathematics. Data from Primary Schools (assessment and teacher assessed data) are used initially for setting with CAT test data being used to refine sets where needed later in the year. These sets are constantly monitored to ensure optimum learning environments for students as they progress through the School.
The start of Year 7 is a little different to how we normally start the year. At the beginning of Year 7, time is dedicated to focussing on developing number and calculation skills to aid the transition from KS2 to KS3. This will last for at least half a term.
After this, students will cover a variety of topics in the four main areas of Mathematics: Algebra, Number, Geometry & Measures, and Statistics. Problem solving and functional skills are also incorporated into the scheme of work throughout the year. In light of the recent changes to the new 9-1 GCSE, students follow the MyMaths for key stage 3 Scheme of work which directly links to the MyMaths website and best prepares students for the rigour of KS4.
Students in KS3 will be assessed at the end of each half term. In addition, students will have the opportunity to sit mock examinations in a formal examination environment towards the end of the year. After the final end of year exam in year 8 the students will then begin some preparatory work for staring the GCSE course in year 9.
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Key Stage IV
All KS4 students (Years 9, 10 & 11) are following a syllabus which will lead to the new GCSE (9-1). This will mean that pupils will now be awarded numerical grades (9-1) rather than the more familiar letter grades (A*-G).
Students will be entered for Higher (up to a 9) or Foundation (up to a 5) level examinations as appropriate, with the examining board Edexcel.
Students in KS4 will be assessed at the end of each half term. In addition, students will have the opportunity to sit mock examinations in a formal examination environment towards the end of the year.
KS4 homework support is offered in room 143 on a Wednesday lunchtime.
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Key Stage V
2017-18 AS and A Level Course Summary:
Year 12 Maths students are following the 2017 Edexcel AS specification. All students follow the same course and will study Pure Maths, Statistics and Mechanics. At the end of Year 12 they will sit exams in AS Mathematics.
Year 12 Further Maths students are following the 2017 Edexcel AS Further Maths specification . All students follow the same course and will study Pure Core Maths and Decision Maths. At the end of Year 12 they will sit exams in AS Further Mathematics.
Year 13 Maths and Further Maths students are following the 2008 Edexcel A level specification, which can be found here. They will be sitting exams in the summer related to their chosen module (plus any modules from Year 12 that they have elected to resit).
The Exam Board provided Formulae Booklet.
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We are following the Edexcel 9-1 syllabus. This GCSE has currently only completed one full cycle – resources are therefore limited.
1 x 1.5 hours non-calculator paper, 2 x 1.5 hours calculator papers.
Edexcel Specimen papers can be used for revision and the following specimen papers from other exam boards may also be useful:
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AQA
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OCR
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WJEC
Schemes of work:
During Year 9 students will cover Kerboodle Chapters 1-9:
Ch 1: Calculations
Ch 2: Expressions
Ch 3: Angles & Polygons
Ch 4: Handling Data
Ch 5: Fractions, Decimals & Percentages
Ch 6: Formulae & Functions
Ch 7: Working in 2D
Ch 8: Probability
Ch 9: Measures & AccuracyThe New GCSE Grading Scheme is explained here.
The attached poster shows ‘Need-to-know’ formulae.
Useful Websites:
KS4 homework support is offered in room 143 on a Wednesday lunchtime.
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We are following the Edexcel 9-1 syllabus. This GCSE has currently only completed one full cycle – resources are therefore limited.
1 x 1.5 hours non-calculator paper, 2 x 1.5 hours calculator papers.
Edexcel Specimen papers can be used for revision and the following specimen papers from other exam boards may also be useful:
-
AQA
-
OCR
-
WJEC
Schemes of work:
The New GCSE Grading Scheme is explained here.
The attached poster shows ‘Need-to-know’ formulae.
Useful Websites:
KS4 homework support is offered in room 143 on a Wednesday lunchtime.
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We are following the Edexcel 9-1 syllabus. This GCSE has currently only completed one full cycle – resources are therefore limited.
1 x 1.5 hours non-calculator paper, 2 x 1.5 hours calculator papers.
Edexcel Specimen papers can be used for revision and the following specimen papers from other exam boards may also be useful:
-
AQA
-
OCR
-
WJEC
Schemes of work:
The New GCSE Grading Scheme is explained here.
The attached poster shows ‘Need-to-know’ formulae.
Useful Websites:
Revision Sessions:
Revision sessions continue to take place every Monday, 3.30-4.30pm.
Exam Dates (TBC):
Paper 1 Non-calculator – 24th May am
Paper 2 Calculator allowed – 7th June am
Paper 3 Calculator allowed 12th June am
KS4 homework support is offered in room 143 on a Wednesday lunchtime.
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Online resources/support/syllabi:
- Year 12 students in 2017-18 are following the Edexcel syllabus for the new A-level. Follow this link (https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html) for access to the syllabus and sample assessment materials (as it is the first year of the new syllabus there are no past exam papers).
- Year 13 students in 2017-18 will continue to follow the ‘old’ Edexcel maths syllabus. Follow this link (http://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2008.html) for access to past papers and mark schemes.
External websites recommended by students:
- Physics and Maths tutor: Good site for past papers from a range of exam boards along with revision resources and worked solutions. Also includes support for the STEP university entrance exams.
- Exam Solutions: Worked video solutions and tutorials.
Revision sessions:
These will start in October and will run every Tuesday lunchtime with Mr Moseley. The focus will be Pure (Core) maths and all students are welcome, irrespective of target grade or year.
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The Maths department have various items of essential stationary available for students to purchase. Please click here for a price list.
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Year 11 Foundation Practice Papers
Unit 1 Number, powers, decimals, HCF and LCM, roots and rounding 1a: Integers and place value F. unit 1a-b topic test 1b: Decimals 1c: Indices, powers and roots F. unit 1c-d topic test 1d: Factors, multiples and primes Unit 2 Expressions, substituting into simple formulae, expanding and factorising 2a: Algebra - the basics F. unit 2 topic test 2b: Expressions and substitution into formulae Unit 3 Drawing and interpreting graphs, tables and charts 3a: Tables, charts and graphs F. unit 3 topic test 3b: Pie charts 3c: Scatter graphs Unit 4 Fractions and percentages 4a: Fractions, decimals and percentages F. unit 4 topic test 4b: Percentages Unit 5 Equations, inequalities and sequences 5a: Equations and inequalities F. unit 5a topic test 5b: Sequences F. unit 5b topic test Unit 6 Angles, polygons and parallel lines 6a: Properties of shapes, parallel lines and angle facts F. unit 6 topic test 6b: Interior and exterior angles of polygons Unit 7 Statistics, sampling and the averages F. unit 7 topic test Unit 8 Perimeter, area and volume F. unit 8 topic test Unit 9 Real-life and algebraic linear graphs 9a: Real-life graphs F. unit 9 topic test 9b: Straight-ine graphs Unit 10 Transformations F. unit 10 topic test Unit 11 Ratio and Proportion 11a: Ratio F. unit 11 topic test 11b: Propertion Unit 12 Right-angled triangles: Pythagoras and trigonometry F. unit 12 topic test Unit 13 Probability F. unit 13 topic test Unit 14 Multiplicative reasoning: more percentages, rates of change, compound measures F. unit 14 topic test Unit 15 Constructions: triangles, nets, plan and elevation, loci, scale drawings and bearings 15a: Plans and elevations F. unit 15 topic test 15b: Constructions, loci and bearings Unit 16 Algebra: quadratic equations and graphs 16a: Quadratic equations - expanding and factorising F. unit 16 topic test 16b: Quadratic equations - graphs Unit 17 Perimeter, area and volume2: circles, cylinders, cones and spheres F. unit 17 topic test Unit 18 More fractions, reciprocals, standard form, zero and negative indices 18a: fractions and reciprocals F. unit 18 topic test 18b: Indicies and standard form Unit 19 Congruence, similarity and vectors 19a: Similarity and congruence in 2D F. unit 19 topic test 19b: Vactors Unit 20 Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations F. unit 20 topic test -
Year 11 Higher Practice Papers
Unit 1 Powers, decimals, HCF and LCM, positive and negative, roots, rounding, reciprocals, standard form, indices and surds 1a. Calculations, checking and rounding H. unit 1 topic test 1b. Indices, roots, reciprocals and hierarchy of operations 1c. Factors, multiples, primes, standard form and surds Unit 2 Expressions, substituting into simple formulae, expanding and factorising, equations, sequences and inequalities, simple proof 2a. Algebra: the basics, setting up, rearranging and solving equations H. unit 2 topic test 2b. Sequences Unit 3 Averages and range, collecting data, representing data 3a. Averages and range H. unit 3 topic test 3b. Representing and interpreting data and scatter graphs Unit 4 Fractions, percentages, ratio and proportion 4a. Fractions and percentages H. unit 4 topic test 4b. Ratio and proportion Unit 5 Angles, polygons, parallel lines; Right-angled triangles: Pythagoras and trigonometry 5a. Polygons, angles and parallel lines H. unit 5a topic test 5b. Pythagoras’ Theorem and trigonometry H. unit 5b topic test Unit 6 Real-life and algebraic linear graphs, quadratic and cubic graphs, the equation of a circle, plus rates of change and area under graphs made from straight lines 6a. Graphs: the basics and real-life graphs H. unit 6a-b topic test 6b. Linear graphs and coordinate geometry 6c. Quadratic, cubic and other graphs H. unit 6c topic test Unit 7 Perimeter, area and volume, plane shapes and prisms, circles, cylinders, spheres, cones; Accuracy and bounds 7a. Perimeter, area and circles H. unit 7 topic test 7b. 3D forms and volume, cylinders, cones and spheres 7c. Accuracy and bounds Unit 8 Transformations; Constructions: triangles, nets, plan and elevation, loci, scale drawings and bearings 8a. Transformations H. unit 8 topic test 8b. Constructions, loci and bearings Unit 9 Algebra: Solving quadratic equations and inequalities, solving simultaneous equations algebraically 9a. Solving quadratic and simultaneous equations H. unit 9 topic test 9b. Inequalities Unit 10 Probability H. unit 10 topic test Unit 11 Multiplicative reasoning: direct and inverse proportion, relating to graph form for direct, compound measures, repeated proportional change H. unit 11 topic test Unit 12 Similarity and congruence in 2D and 3D H. unit 12 topic test Unit 13 Sine and cosine rules, 1/2 ab sin C, trigonometry and Pythagoras’ Theorem in 3D, trigonometric graphs, and accuracy and bounds 13a. Graphs of trigonometric functions H. unit 13 topic test 13b. Further trigonometry Unit 14 Statistics and sampling, cumulative frequency and histograms 14a. Collecting data H. unit 14 topic test 14b.Cumulative frequency, box plots and histograms Unit 15 Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics H. unit 15 topic test Unit 16 Circle theorems and circle geometry 16a. Circle theorems H. unit 16 topic test 16b. Circle geometry Unit 17 Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof H. unit 17 topic test Unit 18 Vectors and geometric proof H. unit 18 topic test Unit 19 Direct and indirect proportion: using statements of proportionality, reciprocal and exponential graphs, rates of change in graphs, functions, transformations of graphs 19a. Reciprocal and exponential graphs; Gradient and area under graphs H. unit 19 topic test 19b. Direct and inverse proportion -
KS5 Practice Papers
C1 booklet: Calculus/ Arithmetric Sequences & Series/ Coordinate Geometry
C1 booklet 2: Algebra/ Inequalities/ Solving Quadratics/
C2: booklet Trig/ Logarithms/ Geometric Sequences & Series
C3 booklet: Differentiation/ Solving Trig Equations/ Exponentials & Logs
C4 booklet: Vectors/ Differentiation/ Integration
D1 booklet: Linear Programming/ Critical Path Analysis/ Route Inspection
FP1 booklet: Co-ordinate Geometry/ Complex Numbers/ Proof by Induction
M1 booklet: Vectors/ Statics/ Kinematics
S1 booklet: Diagrams/ Normal Distribution/ Probability
S2 booklet: Continuous Random Variables/ Hypothesis Testing/ Approximations
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B.Sc (Hons), Brighton University
B.Sc. (Hons.), Ph.D., Birmingham University
B.A.(Hons), Swansea Institute of Higher Education