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.
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
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.
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.
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:
The New GCSE Grading Scheme is explained here.
The attached poster shows ‘Need-to-know’ formulae.
Useful Websites:
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:
The New GCSE Grading Scheme is explained here.
The attached poster shows ‘Need-to-know’ formulae.
Useful Websites:
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:
The New GCSE Grading Scheme is explained here.
The attached poster shows ‘Need-to-know’ formulae.
Useful Websites:
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.
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 |
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 |
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