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Mathematics at KS4Every pupil continues to study Mathematics as part of the core curriculum. The courses on offer ensure that pupils are equipped with the mathematical knowledge and exam techniques for academic success. The curriculum is designed to build on learning from KS3 to further develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems.
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Turves Green Girls' School Mathematics Department believes that the study of mathematics is an essential tool for pupils to succeed in the real world. Mathematics is critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Our aim is to encourage all of our pupils to be engaged in their learning through a curriculum designed to provide them with the functional and problem solving skills that will help them in their future lives and give them access to the widest range of careers.
The GCSE Course followed is Edexcel Level 1/Level 2 GCSE (9–1) in Mathematics (1MA1). Here is a summary:
The GCSE Course followed is Edexcel Level 1/Level 2 GCSE (9–1) in Mathematics (1MA1). Here is a summary:
The aims of the course are to enable pupils to:
We offer plenty of additional support to our pupils outside of the classroom including targeted boosters in Form time and after-school, access to MyMaths and Mathwatch programmes and revision guides.
- develop fluent knowledge, skills and understanding of mathematical methods and 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.
We offer plenty of additional support to our pupils outside of the classroom including targeted boosters in Form time and after-school, access to MyMaths and Mathwatch programmes and revision guides.
KS4 Foundation
Term |
Yr10 |
Yr11 |
Autumn |
Unit 1 – Number. Place value; Factors and multiples; Squares, cubes and roots; Index notation; Prime factors. Unit 2 – Algebra. Algebraic expressions; Simplifying expressions; Substitution; Formulae; Expanding brackets; Factorising; Using expressions and formulae. Unit 5 – Equations, inequalities and sequences. Solving equations 1 & 2; Solving equations with brackets; Introducing inequalities; More inequalities; More formulae; Generating sequences; Using the nth term of a sequence Unit 9 – Graphs. Coordinates; Linear graphs; Gradient; y = mx + c; Real-life graphs; Distance-time graphs; More real-life graphs Unit 3 Graphs, tables and charts. Frequency tables; Two-way tables; Representing data; Time series; Stem and leaf diagrams; Pie charts; Scatter graphs; Line of best fit Rich Task - A02/A03 Problem Solving included each half-term |
Unit 13 – Probability. Calculating probability; Two events, Experimental probability; Venn diagrams; Tree diagrams; More tree diagrams Unit 14 Multiplicative reasoning Percentages; Growth and decay; Compound measures; Distance, speed and time; Direct and inverse proportion. Unit 15 - Construction, loci and bearings. 3D solids; Plans and elevations; Accurate drawings 1 & 2; Scale drawings and maps; Constructions; Loci and regions; Bearings. Unit 16 – Quadratic equations and graphs. Expanding double brackets; Plotting quadratic graphs; Using quadratic graphs; Factorising quadratic expressions; Solving quadratic equations algebraically. Unit 17 – Perimeter, area and volume 2 Circumference of a circle 1 & 2; Area of a circle; Semicircles and sectors; Composite 2D shapes and cylinders; Pyramids and cones; Spheres and composite solids. Rich Task - A02/A03 Problem Solving included each half-term |
Spring |
Unit 7 – Averages and range. Mean and range; Mode, median and range; Types of averages; Estimating the mean; Sampling Unit 4 – Fractions and percentages. Working with fractions; Operations with fractions; Multiplying fractions; Dividing fractions; Fractions and decimals; Fractions and percentages; Calculating percentages1 & 1 Unit 6 – Angles. Properties of shapes; Angles in parallel lines; Angles in triangles; Exterior and interior angles; Geometrical patterns. Unit 8 – Perimeter, area and Volume 1 Rectangles, parallelograms and triangles; Trapezia and changing units; Area of compound shapes; Surface area of 3D solids; Volume of prisms; More volume and surface area Rich Task - A02/A03 Problem Solving included each half-term |
Unit 18 – Fractions, indices and standard form. Multiplying and dividing fractions; The laws of indices; Writing large / small numbers in standard form; Calculating with standard form. Unit 19 – Congruence, similarity and vectors. Similarity and enlargement; Using similarity; Congruence 1 & 2; Vectors 1 & 2 Unit 20 – More Algebra. Graphs of cubic and reciprocal functions; Non-linear graphs; Solving simultaneous equations graphically; Solving simultaneous equations algebraically; Rearranging formulae; Proof. Rich Task - A02/A03 Problem Solving included each half-term Review & Practice papers |
Summer |
Unit 10 – Transformations’ Translation; Reflection; Rotation; Enlargement; Describing enlargement; Combining transformations Unit 11 – Ratio and proportion. Writing ratios; Using ratios 1 & 2; Ratios and measures; Comparing using ratios; Using proportion. Unit 12 – Right- angled triangles. Pythagoras’ Theorem 1 & 2; Trigonometry: the sine ratio 1 & 2, the cosine ratio, the tangent ratio; Finding lengths and angles using trigonometry Rich Task - A02/A03 Problem Solving included each half-term Revision and End of Year exams |
Review & Practice papers GCSE (9-1) Exam |
KS4 Higher
Term |
Yr10 |
Yr11 |
Autumn 1 |
Unit 1 – Number 1.1 Number problems and reasoning 1.2 Place value and estimating 1.3 HCF and LCM 1.4 Calculating with powers (indices) 1.5 Zero, negative and fractional indices 1.6 Powers of 10 and standard form 1.7 Surds Unit 2 – Algebra 2.1 Algebraic indices 2.2 Expanding and factorising 2.3 Equations 2.4 Formulae 2.5 Linear sequences 2.6 Non-linear sequences 2.7 More expanding and factorising Unit 3 – Interpreting and representing data 3.1 Statistical diagrams 1 3.2 Time series 3.3 Scatter graphs 3.4 Line of best fit 3.5 Averages and range 3.6 Statistical diagrams 2 |
Unit 14 – Further statistics 14.1 Sampling 14.2 Cumulative frequency 14.3 Box plots 14.4 Drawing histograms 14.5 Interpreting histograms 14.6 Comparing and describing populations Unit 15 – Equations and graphs 15.1 Solving simultaneous equations graphically 15.2 Representing inequalities graphically 15.3 Graphs of quadratic functions 15.4 Solving quadratic equations graphically 15.5 Graphs of cubic functionsValue |
Autumn 2 |
Unit 4 Fractions, ratio and percentages 4.1 Fractions 4.2 Ratios 4.3 Ratio and proportion 4.4 Percentages 4.5 Fractions, decimals and percentages Unit 5 – Angles and trigonometry 5.1 Angle properties of triangles and quadrilaterals 5.2 Interior angles of a polygon 5.3 Exterior angles of a polygon 5.4 Pythagoras’ theorem 1 & 2 5.6 Trigonometry 1 & 2 Rich Task - A02/A03 Problem Solving included each half-term |
Unit 16 - Circle Theorems 16.1 Radii and chords 16.2 Tangents 16.3 Angles in circles 1 16.4 Angles in circles 2 16.5 Applying circle theorems Unit 17 - More algebra 17.1 Rearranging formulae 17.2 Algebraic fractions 17.3 Simplifying algebraic fractions 17.4 More algebraic fractions 17.5 Surds 17.6 Solving algebraic fraction equations 17.7 Functions 17.8 Proof Rich Task - A02/A03 Problem Solving included each half-term |
Spring 1 |
Unit 6 – Graphs 6.2 More linear graphs 6.3 Graphing rates of change 6.4 Real-life graphs 6.5 Line segments 6.6 Quadratic graphs 6.7 Cubic and reciprocal graphs 6.8 More graphs Unit 7 – Area and volume 7.1 Perimeter and area 7.2 Units and accuracy 7.3 Prisms 7.4 Circles 7.5 Sectors of circles 7.6 Cylinders and spheres 7.7 Pyramids and cones |
Unit 18 - Vectors and geometric proof 18.1 Vectors and vector notation 18.2 Vector arithmetic 18.3 More vector arithmetic 18.4 Parallel vectors and collinear points 18.5 Solving geometric problems |
Spring 2 |
Unit 8 – Transformations and constructions 8.1 3D solids 8.2 Reflection and rotation 8.3 Enlargement 8.4 Transformations and combinations of transformations 8.5 Bearings and scale drawings 8.6 Constructions 1 8.7 Constructions 2 8.8 Loci Unit 9 – Equations and inequalities 9.1 Solving quadratic equations 1 9.2 Solving quadratic equations 2 9.3 Completing the square 9.4 Solving simple simultaneous equations 9.5 More simultaneous equations 9.6 Solving linear and quadratic simultaneous equations 9.7 Solving linear inequalities Rich Task - A02/A03 Problem Solving included each half-term |
Unit 19 – Proportion and graphs 19.1 Direct proportion 19.2 More direct proportion 19.3 Inverse proportion 19.4 Exponential functions 19.5 Non-linear graphs 19.6 Translating graphs of functions 19.7 Reflecting and stretching graphs of functions Rich Task - A02/A03 Problem Solving included each half-term |
Summer 1 |
Unit 10 – Probability 10.1 Combined events 10.2 Mutually exclusive events 10.3 Experimental probability 10.4 Independent events and tree diagrams 10.5 Conditional probability 10.6 Venn diagrams and set notation Unit 11 – Multiplicative reasoning 11.1 Growth and decay 11.2 Compound measures 11.3 More compound measures 11.4 Ratio and proportion |
Review & Practice papers GCSE (9-1) Exam |
Summer 2 |
Unit 12 – Similarity and congruence 12.1 Congruence 12.2 Geometric proof and congruence 12.3 Similarity 12.4 More similarity 12.5 Similarity in 3D solids Unit 13 – More trigonometry 13.1 Accuracy 13.2 Graph of the sine function 13.3 Graph of the cosine function 13.4 The tangent function 13.5 Calculating areas and the sine rule 13.6 The cosine rule and 2D trigonometric problems 13.7 Solving problems in 3D 13.8 Transforming trigonometric graphs 1 13.9 Transforming trigonometric Value |
Rationale for this Curriculum Plan
- It meets the requirements as set out in Edexcel GCSE (9-1) specification
- It enables pupils to make progress from Year 10 through to the end of Year 11
- It enables pupils to develop the necessary skills for success at KS4 and beyond (in education, the workplace or in general life-skills including literacy, numeracy and ICT.
- Time is allocated for regular reasoning and problem-solving activities as these skills are required for all GCSE papers
Additional Qualifications
All pupils at some stage in Key Stage study for one or more of the Edexcel Maths Awards, the qualifications can be taken in:
Mathematics Enrichment Activities
All pupils at some stage in Key Stage study for one or more of the Edexcel Maths Awards, the qualifications can be taken in:
- Number and Measures (Levels 1 & 2) - Year 10
- Statistical Measures (Level 1) - Year 10
- Algebra (Level 2) - Year 10
Mathematics Enrichment Activities
- Our most able pupils in all year groups take part in the annual UK Mathematical Challenge competition which gives them opportunity to test their skills against pupils in other schools across the country.
- We organise visits to the Maths Inspiration show and local Master-classes offered by institutions such as Birmingham and Aston Universities to promote Mathematics beyond GCSE and possible career opportunities to pupils.
- All pupils KS4 get an opportunity to work creatively and to think outside of the box solving mathematical puzzles in special Puzzle Workshops with specialist organisations creativity in problem solving.
