The courses on offer ensure that pupils are equipped with the mathematical knowledge and exam techniques for academic success.

Every 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. 

Northfield School for Girls 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 aims of the course are to enable pupils to:

  • 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

TermYear 10Year 11
AutumnUnit 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
SpringUnit 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
SummerUnit 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

TermYear 10Year 11
Autumn 1Unit 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 2Unit 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 1Unit 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 2Unit 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 1Unit 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 2Unit 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:

  • 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. 

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