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Mathematics

Title: GCSE Mathematics

Exam Board: Edexcel

 

In Years 10 and 11, students work towards gaining their GCSE Mathematics qualification. Lessons include the application of examination skills to prepare students for GCSE examinations. The GCSE course is a linear course. This means that all examinations are taken at the end of Year 11. There is no Coursework or Controlled Assessment component for GCSE Mathematics. The syllabus followed is Edexcel Linear Assessment (1MA1).

 

Topics include

Tier Topic Area Weighting
  Foundation  Number  22-28%
Algebra  17-23%
Ratio, Proportion and Rates of change  22-28%
Geometry and Measures  12-18%
Statistics & Probability  12-18%
     Higher Number  12-18%
Algebra  27-33%
Ratio, Proportion and Rates of change  17-23%
Geometry and Measures  17-23%
Statistics & Probability  12-18%

Assessment Details

  • Three exam papers
  • The exam will be graded 9-1 (9 is the highest grade).
    • Foundation tier: grades 1 to 5
    • Higher tier: grades 4 to 9
  • 3 exam papers at either Foundation or Higher Tier
    • Paper 1: non-calculator
    • Paper 2 and Paper 3: calculator allowed
  • Each paper is 1 ½ hours long.
  • Each paper has 80 marks.

 

Maths Scheme of Work Overview – Foundation

  Year 9 Year 10 Year 11
Autumn 1

Unit 1: Number, powers, decimals, HCF and LCM, roots and rounding

Integers and place value

Decimals

Indices, powers and roots

Factors, multiples and primes

Unit 7: Averages and range, sampling, collecting data, analysing data

 

Statistics and sampling

The averages

Unit 8: Perimeter, area and volume I

Perimeter and area

3D forms and volume

Unit 18: More fractions, reciprocals, standard form, zero and negative indices

Fractions and reciprocals

Indices and standard form

Revision: Number

 

 

Autumn 2 Unit 2: Expressions, substituting into simple formula, expanding and factorising

 

Algebra: the basics

Expanding and factorising single brackets

Expressions and substitution into formulae

END OF TERM EXAM

Unit 9: Real-life and algebraic linear graphs

 

Real-life graphs

Straight-line graphs

Unit 10: Transformations

Transformations I: translations, rotations and reflections

END OF TERM EXAM

Unit 19b: Vectors

 

Unit 20: Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations

Revision: Algebra

 

MOCK EXAM 1

Spring 1 Unit 3: Drawing and interpreting graphs, tables and charts

 

Tables

Charts and graphs

Pie charts

Transformations II: enlargements and combinations

 

Unit 11: Ratio and Proportion

Ratio

Proportion

Unit 19a: Similarity and congruence in 2D

 

Revision: Geometry & Measures

Revision: Statistics & Probability

Spring 2 Scatter graphs

 

Unit 4: Fractions and Percentages

Fractions

Fractions, decimals and percentages

Percentages

 

END OF TERM EXAM

Unit 12: Right-angled triangles: Pythagoras and trigonometry

 

Unit 13: Probability

Probability I

Probability II

Unit 14: Multiplicative reasoning: more percentages, rates of change, compound measures

END OF TERM EXAM

Revision: Ratio, Proportion and Rates of Change

 

 

 

Revision and past papers

MOCK EXAM 2

Summer 1 Unit 5: Equations, inequalities and sequences

 

Equations

Inequalities

Sequences

 

Unit 15: Constructions: triangles, nets, plan and elevation, loci, scale drawings and bearings.

 

Plans and elevations

Constructions, loci and bearings

Unit 16: Algebra: quadratic equations and graphs

Quadratic equations: expanding and factorising;

REVISION AND EXAMS
Summer 2 Unit 6: Angles, polygons and parallel lines

 

Properties of shapes, parallel lines and angle facts

Interior and exterior angles of polygons

END OF YEAR EXAM

Quadratic equations: graphs

 

Unit 17: Perimeter, area and volume 2: circles, cylinders, cones and spheres

Circles, cylinders, cones and spheres

END OF YEAR EXAM

 

 

Maths Scheme of Work Overview Higher Tier

 

  Year 9    

 

Year 10

 

  Year 11
           
Autumn 1 Unit 1: Powers, decimals, HCF, LCM, positive and negative, roots, rounding, reciprocals and indices.

 

Calculations

Hierarchy of operations.

Factors, multiples and primes.

HALF-TERM ASSESSMENT

  Unit 6: Real life and algebraic linear graphs, quadratic and cubic graphs; equation of a circle, rates of change and area under graphs.

 

Coordinate geometry.

HALF-TERM ASSESSMENT

 

  Revision: Number

 

Unit 12: Similarity and Confruence in 2D and 3D

Unit 15: Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics.

Unit 16: Circle Theorems

HALF-TERM ASSESSMENT

Autumn 2 Standard from and surds.

 

Unit 2: Expressions, substitution, expanding, factorising, equations, simple proof.

Algebra: the basics

Setting up, rearranging and solving equations.

END OF TERM EXAM

  Unit 7: Perimeter, area, volume, plane shapes and prisms, circles, cylinders, spheres, cones; Accuracy and bounds.

 

 END OF TERM EXAM

  Unit 16: Circle Geometry

 

Revision: Algebra

Unit 17: Changing the subject of a formulae (more complex), algebraic fractions, solving equations (fractions), rationalising surds, proof.

Unit 18: Vectors and Geometric Proof

MOCK EXAM 1

Spring 1 Sequences

 

Unit 3: Averages and Range, collecting data, representing data.

HALF-TERM ASSESSMENT

  Unit 8: Transformations

 

Constructions, triangles, nets, plan and elevation, loci, scale drawing and bearings

Unit 9: Inequalities

HALF-TERM ASSESSMENT

 

 

  Unit 19: Direct and indirect proportion; using statements of proportionality, reciprocal and exponential graphsrates of change in graphs, functions, transformations of graphs. Gradient and area under graphs.

 

Revision: Geometry

Past paper practice

HALF-TERM ASSESSMENT

Spring 2 Scatter graphs.

 

Unit 4: Fractions, percentages

END OF TERM EXAM

  Unit 9: Solving quadratic equations; solving simultaneous equations algebraically.

 

Unit 10: Probability

Unit 13: Graphs of Trigonometric functions.

END OF TERM EXAM

  Revision: Statistics & Probability

 

Revision: Ratio, Proportion and Rates of Change

Past paper practice

MOCK EXAM 2

Summer 1 Ratio and Proportion.

 

Unit 5: Angles, polygons, parallel lines, Pythagoras and Trigonometry.

Polygons, angles and parallel lines.

HALF-TERM ASSESSMENT

 

  Unit 13: Sine and cosine rules. ½ab sinC, trigonometry and Pythaogras’ in 3D.

 

Unit 11: Multiplicative reasoning; direct and inverse proportion; relating to graphs for direct, compound measures, repeated proportional change.

HALF-TERM ASSESSMENT

  REVISION AND EXAMS
Summer 2 Pythagoras’ Theorem and trigonometry.

 

END OF YEAR EXAM

  Unit 14: Statistics and sampling, cumulative frequency and histograms.

 

Collecting Data

Box plots

END OF YEAR EXAM

   

 

Key Dates

Students to be examined in May/June of Year 11

 

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