Enquiry Form

Maths

 

SUBJECT AIM

In Mathematics there is a strong focus on developing problem-solving skills, reasoning and fluency. It aims to help students understand concepts, apply techniques, solve problems, reason, interpret and communicate mathematically. This will allow our students to appreciate the importance of mathematics in society, employment and study.

WHAT YOU WILL STUDY

The course will cover a wide range of topics in the four key areas of algebra, geometry, measure and data handling. Students will first be taught how to carry out routine procedures requiring multi-step solution in all four areas, which will then allow them to reason, interpret and communicate mathematically and to progress on to solve problems both within mathematics and in other real-life contexts.

HOW WILL YOU BE ASSESSED

Candidates are entered at either Foundation Tier or Higher Tier. Questions in the Foundation Tier papers are targeted at grades 5 to 1. The highest grade which will be awarded at Foundation Tier is grade 5. Questions in the Higher Tier papers are targeted at grades 9 – 4. Some examination questions will be common to both tiers. Calculators are permissible for all papers in the foundation and higher tiers.

Foundation

(grades 1-5)

Paper 1

Calculator

Paper 2

Calculator

50% weighting

2 hour

50% weighting

2 hour

Higher

(grades 4 -9)

Paper 1

Calculator

Paper 2

Calculator

50% weighting

2 hour

50% weighting

2 hour

 

WHAT THIS SUBJECT CAN LEAD TO

  • Engineering, Statistician, Mathematics teacher, Financial Advisor, Credit Analyst, Banker, Actuary, Pure Mathematics, Applied Mathematics, Research Mathematics, Computer Science, Biomathematics, Cryptography
  • Support your appreciation and the importance of mathematics in society, employment and study.

Please click on the arrow for a detailed breakdown:

THE LEARNING JOURNEY FOR MATHS FOUNDATION   
     
Unit / Block of workKey Episodes / QuestionsColour CodeLength of time (hours)Learner Attribute(s)
Term 1    
SequencesTerm- to-term rule; position-to-term rule; nth term; find the next termBlue5Communicator
Symmetry and angleslines of symmetry; find missing angles in parallel lines, triangles and quadrilaterals; properties of quadratics; name solids; Green8Caring
PolygonsName polygons; interior and exterior angles of polygons; angle sum of polygonsGreen5Knowledgeable
Measures and scale drawingsinterpret scales; calculate with time; estimate measures; measure angles and lines; scale drawings; convert unitsGreen5Principled
constructions and bearingsconstruct triangles and other shapes; perpendicular bisector; bisect an angle Green4Open-minded
Term 2    
Pythagoras and TrigonometryPythagoras’ Theorem; Find a missing angle or side using trigonometry Green12Thinker
Quadratic equationsExpand double brackets; factorise and solve quadratic expressions; plot quadratic graphsBlue5Reflective
Set notation and Venn diagramsuse set notation; use Venn diagrams to prepresent sets; find probabilities from Venns Yellow7Inquirer
Term 3    
Transformationsrotation; reflection; translation; enlargement; describe transformationsGreen7Balanced
simultaneous equationsSolve two simultaneous equationsBlue4Risk Taker
similarity and congruenceCongruence; similar shapesGreen5Open-minded
indices and standard formuse index notation and laws; standard form Red5Thinker
real life graphsinterpret real life graphsYellow4Reflective

 

THE LEARNING JOURNEY FOR MATHS HIGHER   
     
Unit / Block of workKey Episodes / QuestionsColour CodeLength of time. (hours)Learner Attribute(s)
Term 1    
Pythagoras and TrigonometryPythagoras in 2D, Trigonometry in 2DGreen16Thinker
Construction and bearingsPerpendicular bisector, angle bisector, scale drawings, draw and measure bearings, return bearings, solve bearings problems.Green8Inquirer
Quadratics equations, inequalities and graphsSolve by factorisation, solve by formula or completing the square, form and solve, solve graphically, solve a quadratic inequality.Blue16Principled
Term 2    
Set languageUnions and intesections, elements and subsets, complement of a set.Yellow12Knowledgable
Venn diagrams Complete Venn diagrams, interpret Venn diagrams.Yellow12Communicator
TransformationsRotations, Translations, Enlargements, Reflections, Describe a transformation.Green10Reflective
Simultaneous equationsSolve linear, solve quadratic, solve algebraically.Blue10Balanced
Degrees of accuracyUpper and lower bounds, solve problems involving bounds.Red8Risk Taker
Similar shapesLength scale factors, area and volume scale factors.Green14Open-minded
Term 3    
Indices and standard formConvert numbers between ordinary form and standard form, four operationsBlue8Thinker
Circle propertiesIntersecting chord theorem, cyclic quadrilaterals, alternate segment theorem.Green12Thinker
Real life graphsInterpret real life graphs.Yellow4Inquirer
Ratio and proportionshare in a ratio, direct and inverse proportion, use standard units of measure, currency conversions.Red6Communicator
Compound measuresSpeed, density, pressure, convert area and volume measures.Green10Open-minded
THE LEARNING JOURNEY FOR MATHS FOUNDATION   
     
Unit / Block of workKey Episodes / QuestionsColour CodeLength of time (hours)Learner Attribute(s)
Ratio and proportionDivide into a ratio; direct proprtion; converting units; currency conversions; best buys; recipesRed7Caring
Compound measuresSpeed, distance time; density and pressureRed5Balanced
ProbabilityProbability scale; Venn diagrams; sample spaces; list outcomes; compliment of an event; mutually exclusive events; expected frequencyYellow9Inquirer

 

THE LEARNING JOURNEY FOR MATHS HIGHER   
     
Unit / Block of workKey Episodes / QuestionsColour CodeLength of time. (hours)Learner Attribute(s)
Term 1    
Function notationDomain and range; composite functions; inverse functions.Blue14Thinker
Harder graphs and transformations of graphsPlot cubic, reciprocal and trigonometric functions; translate, reflect and stretch functions; find the gradient of a curve using tangents.Blue14Reflective
Advanced trigonometryUse the Sine, Cosine rule; area of a triangle; 3D trigonometry and Pythagoras.Green16Inquirer
Term 2    
ProbabilityTheoretical probability; Venn diagrams; sample spaces; expected frequencies; mutually exclusive events; tree diagrams; conditional probabilities.Yellow12Open-minded
CalculusRates of change; differentiate powers of x; find gradients and stationary points; kinematics.Blue16Knowledgable
VectorsColumn vectors; modulus of a vector; geometrical proof using vectors.Green12Communicator
Term 3    
RevisionPreparation for iGCSE exams in May/ JuneBlack Principled