Maths

Algebra, Inequalities, solving QuadraticsMathematics at John Kyrle High School is one of the school’s most popular subjects and we were really excited to move into our new, purpose-built Maths block last year.  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

    Miss R Rainbow – Head of Department, email: rhiannonrainbow@jkhs.org.uk
    Mr L Moseley – Head of KS5 Maths, email: lukeMoseley@jkhs.org.uk
    Miss J Costa Penny – Head of KS4 Maths, email: j.costapenny@jkhs.org.uk
    Miss Z Sharp – Head of KS3 Maths, email: zoesharp@jkhs.org.uk
    Mrs J Markey (Head of Year 8), email: juliemarkey@jkhs.org.uk
    Mr M Penny (Head of Year 9), email: m.penny@jkhs.org.uk
    Mrs N Field, email: n.field@jkhs.org.uk
    Mr N Genge, email: n.genge@jkhs.org.uk
    Mr I Hinds, email: i.hinds@jkhs.org.uk
    Miss A Ferguson, email: a.ferguson@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.

    mymaths-logo
    mymaths-1a-1b-1c-logo

    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.

  • 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.

  • Key Stage V

    AS and A Level Course Summary

    Name of Course: Edexcel Advanced Subsidiary GCE in Mathematics (Use this link to view the specification from Edexcel).

    The Exam Board provided Formulae Booklet

    Edexcel Advanced Subsidiary GCE in Further Mathematics.

    What topics are covered?

    All Sixth Form Mathematics courses contain both Core or Further Pure and Applied Mathematics Modules (Mechanics, Statistics or Decision Maths).

    Core Mathematics includes calculus and more advanced algebra and trigonometry.
    Further Pure Mathematics modules include matrices, complex numbers, and more advanced calculus and algebra.
    Statistics units aim to help students select appropriate statistical techniques for handling data and includes sampling and hypothesis tests on various distributions.
    Mechanics is based initially on Newton’s laws of motion and includes both statics, the study of forces on stationary bodies, and dynamics – bodies in motion.
    Decision Mathematics modules involve modelling real-life situations using algorithms, networks, linear programming and critical path analysis.

    A and AS level Mathematics
    Mathematics can be taken at AS level or A level. This is achieved by using a modular system.

    For AS level three units are required – two compulsory Core units, with a third from either Mechanics or Statistics.
    For A-level six units are required – four compulsory Core units, the other two can be chosen from either Mechanic or Statistics.

    AS and A Level Further Mathematics
    Further Mathematics can only be studied as an additional AS or A-level to the standard A-level Mathematics. The course would be suitable for students who have achieved a grade A or above at GCSE level. The aim is to broaden and deepen their mathematical knowledge and fluency. This qualification is particularly useful to all who intend to study degrees with a strong mathematical content, such as Engineering, Sciences, Computing and Mathematics itself.

    Further Mathematics can be taken at AS level or A level. This is achieved by using a modular system.

    For AS level, three units are required – one compulsory Further Pure unit and two other applied units which may not include the Core units from A level Mathematics.
    For A-level six units are required – two compulsory Further Pure units, the other four chosen from Mechanics, Statistics or Decision Mathematics units which may not include the Core units from A-level Mathematics.

  • We are following the Edexcel 9-1 syllabus. This year group will be the third to sit these exams – resources are therefore still 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:

    Schemes of work:

    Foundation

    Higher

    GCSE Specification

    The New GCSE Grading Scheme is explained here.

    The attached poster shows ‘Need-to-know’ formulae.

    Useful Websites:

    www.mymaths.co.uk

    www.examsolutions.net

    www.m4ths.com

  • We are following the Edexcel 9-1 syllabus. This year group will be the second to sit these exams – 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:

    Schemes of work:

    Foundation

    Higher

    GCSE Specification

    The New GCSE Grading Scheme is explained here.

    The attached poster shows ‘Need-to-know’ formulae.

    Useful Websites:

    www.mymaths.co.uk

    www.examsolutions.net

    www.m4ths.com

  • We are following the Edexcel 9-1 syllabus. This year group will be the first to sit these exams – 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:

    Schemes of work:

    Foundation

    Higher

    GCSE Specification

    The New GCSE Grading Scheme is explained here.

    The attached poster shows ‘Need-to-know’ formulae.

    Useful Websites:

    www.mymaths.co.uk

    www.examsolutions.net

    www.m4ths.com

    Revision Sessions:

    Revision will continue on a Monday, 3.30-4.30pm, until 12th June.

    Exam Dates:

    Paper 1 Non-calculator – 25th May am

    Paper 2 Calculator allowed – 8th June am

    Paper 3 Calculator allowed 13th June am

  • Past Papers:
    Year 12 students in 2016-17 are following the Edexcel syllabus. Follow this link 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.

    Additional Lessons:

    If you would like to attend additional lessons in your modules click here to see the timetable for all KS5 lessons.  You can attend any lessons that are relevant, just ask the permission of the class teacher.

    • Year 11 Foundation practice papers

      Foundation

      Unit 1Number, powers, decimals, HCF and LCM, roots and rounding1a: Integers and place valueF. unit 1a-b topic test
      1b: Decimals
      1c: Indices, powers and rootsF. unit 1c-d topic test
      1d: Factors, multiples and primes
      Unit 2Expressions, substituting into simple formulae, expanding and factorising2a: Algebra - the basicsF. unit 2 topic test
      2b: Expressions and substitution into formulae
      Unit 3Drawing and interpreting graphs, tables and charts3a: Tables, charts and graphsF. unit 3 topic test
      3b: Pie charts
      3c: Scatter graphs
      Unit 4Fractions and percentages4a: Fractions, decimals and percentagesF. unit 4 topic test
      4b: Percentages
      Unit 5Equations, inequalities and sequences5a: Equations and inequalitiesF. unit 5a topic test
      5b: SequencesF. unit 5b topic test
      Unit 6Angles, polygons and parallel lines6a: Properties of shapes, parallel lines and angle factsF. unit 6 topic test
      6b: Interior and exterior angles of polygons
      Unit 7Statistics, sampling and the averagesF. unit 7 topic test
      Unit 8Perimeter, area and volumeF. unit 8 topic test
      Unit 9Real-life and algebraic linear graphs9a: Real-life graphsF. unit 9 topic test
      9b: Straight-ine graphs
      Unit 10TransformationsF. unit 10 topic test
      Unit 11Ratio and Proportion11a: RatioF. unit 11 topic test
      11b: Propertion
      Unit 12Right-angled triangles: Pythagoras and trigonometryF. unit 12 topic test
      Unit 13ProbabilityF. unit 13 topic test
      Unit 14Multiplicative reasoning: more percentages, rates of change, compound measuresF. unit 14 topic test
      Unit 15Constructions: triangles, nets, plan and elevation, loci, scale drawings and bearings15a: Plans and elevationsF. unit 15 topic test
      15b: Constructions, loci and bearings
      Unit 16Algebra: quadratic equations and graphs16a: Quadratic equations - expanding and factorisingF. unit 16 topic test
      16b: Quadratic equations - graphs
      Unit 17Perimeter, area and volume2: circles, cylinders, cones and spheresF. unit 17 topic test
      Unit 18More fractions, reciprocals, standard form, zero and negative indices18a: fractions and reciprocalsF. unit 18 topic test
      18b: Indicies and standard form
      Unit 19Congruence, similarity and vectors19a: Similarity and congruence in 2DF. unit 19 topic test
      19b: Vactors
      Unit 20Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equationsF. unit 20 topic test
    • Year 11 Higher practice papers

      Higher

      Unit 1Powers, decimals, HCF and LCM, positive and negative, roots, rounding, reciprocals, standard form, indices and surds 1a. Calculations, checking and roundingH. unit 1 topic test
      1b. Indices, roots, reciprocals and hierarchy of operations
      1c. Factors, multiples, primes, standard form and surds
      Unit 2Expressions, substituting into simple formulae, expanding and factorising, equations, sequences and inequalities, simple proof2a. Algebra: the basics, setting up, rearranging and solving equationsH. unit 2 topic test
      2b. Sequences
      Unit 3Averages and range, collecting data, representing data3a. Averages and rangeH. unit 3 topic test
      3b. Representing and interpreting data and scatter graphs
      Unit 4Fractions, percentages, ratio and proportion 4a. Fractions and percentagesH. unit 4 topic test
      4b. Ratio and proportion
      Unit 5Angles, polygons, parallel lines; Right-angled triangles: Pythagoras and trigonometry5a. Polygons, angles and parallel linesH. unit 5a topic test
      5b. Pythagoras’ Theorem and trigonometryH. unit 5b topic test
      Unit 6Real-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 lines6a. Graphs: the basics and real-life graphsH. unit 6a-b topic test
      6b. Linear graphs and coordinate geometry
      6c. Quadratic, cubic and other graphsH. unit 6c topic test
      Unit 7Perimeter, area and volume, plane shapes and prisms, circles, cylinders, spheres, cones; Accuracy and bounds7a. Perimeter, area and circlesH. unit 7 topic test
      7b. 3D forms and volume, cylinders, cones and spheres
      7c. Accuracy and bounds
      Unit 8Transformations; Constructions: triangles, nets, plan and elevation, loci, scale drawings and bearings8a. TransformationsH. unit 8 topic test
      8b. Constructions, loci and bearings
      Unit 9Algebra: Solving quadratic equations and inequalities, solving simultaneous equations algebraically9a. Solving quadratic and simultaneous equationsH. unit 9 topic test
      9b. Inequalities
      Unit 10ProbabilityH. unit 10 topic test
      Unit 11Multiplicative reasoning: direct and inverse proportion, relating to graph form for direct, compound measures, repeated proportional changeH. unit 11 topic test
      Unit 12Similarity and congruence in 2D and 3DH. unit 12 topic test
      Unit 13Sine and cosine rules, 1/2 ab sin C, trigonometry and Pythagoras’ Theorem in 3D, trigonometric graphs, and accuracy and bounds13a. Graphs of trigonometric functionsH. unit 13 topic test
      13b. Further trigonometry
      Unit 14Statistics and sampling, cumulative frequency and histograms14a. Collecting dataH. unit 14 topic test
      14b.Cumulative frequency, box plots and histograms
      Unit 15Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadraticsH. unit 15 topic test
      Unit 16Circle theorems and circle geometry 16a. Circle theorems H. unit 16 topic test
      16b. Circle geometry
      Unit 17Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proofH. unit 17 topic test
      Unit 18Vectors and geometric proofH. unit 18 topic test
      Unit 19Direct and indirect proportion: using statements of proportionality, reciprocal and exponential graphs, rates of change in graphs, functions, transformations of graphs19a. Reciprocal and exponential graphs; Gradient and area under graphsH. 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