Mathematics

The Mathematics department of Archbishop Lanfranc Academy believes that Maths is Life. Pupils are challenged to learn mathematical skills and content and apply these in solving real life mathematical problems.  Both Years 7 and 8 will complete the same units of work but at varying degrees of challenge and depth. Pupils in Year 9 begin the Key stage 4 curriculum by following either the higher or foundation tier.

 

Assessment

Learners are given the opportunity to consolidate their understanding by a rigorous system of Assessment for Learning which includes set tasks and end of unit’s tests. This ensures that every learner is secured in their understanding of each topic and interventions are rightly targeted. Homework are set regularly both on line and on paper which is an essential part of the monitoring and tracking of progress of the learners.

 

GCSE Examination Board:    Edexcel Examination Board

Suggested support at home Texts:    Edexcel GCSE 9-1 Maths (Higher and Foundation)

Websites:

www.mymaths.co.uk

www.vle.mathswatch.co.uk

www.samlearning.co.uk

Content and Skills

Overview of the course 

  • Number
  • Algebra
  • Ratio, proportion and rates of change
  • Geometry and measures
  • Probability
  • Statistics

 

Key stage 3 Mathematics Curriculum:

Year 7

Autumn Term

  • Numbers: Whole numbers and decimals
  • Geometry and Measures : Measures, perimeter and area
  • Algebra: Expressions and formulae
  • Numbers: Fractions, decimals and percentages
  • Geometry and Measures: Angles and 2D shapes
  • Algebra: Graphs

Spring Term

  • Numbers: Adding and subtracting
  • Statistics & Probability : Statistics
  • Geometry and Measures: Transformations and symmetry
  • Algebra; Equations
  • Numbers: Factors and multiples
  • Geometry and Measures : Constructions and 3D shapes

Summer Term

  • Algebra : Sequences
  • Numbers: Multiplying and dividing
  • Ratio, Proportion and Rate of change: Ratio and proportion
  • Statistics & Probability : Probability
  • Project: Everyday Mathematics

 

Year 8

Autumn Term

  • Numbers: Whole numbers and decimals
  • Geometry and Measures : Measures, perimeter and area
  • Algebra: Expressions and formulae
  • Numbers: Fractions, decimals and percentages
  • Geometry and Measures: Angles and 2D shapes
  • Algebra: Graphs

Spring Term

  • Numbers: Adding and subtracting
  • Statistics & Probability : Statistics
  • Geometry and Measures: Transformations and symmetry
  • Algebra; Equations
  • Numbers: Factors and multiples
  • Geometry and Measures : Constructions and 3D shapes

Summer Term

  • Algebra : Sequences
  • Numbers: Multiplying and dividing
  • Ratio, Proportion and Rate of change: Ratio and proportion
  • Statistics & Probability : Probability
  • Project: Everyday Mathematics

 

Overview of assessment

The qualification consists of three equally-weighted written examination papers at either Foundation tier or Higher tier at the end of year 11.

  • All three papers are at the same tier of entry and completed in the same assessment series.
  • Paper 1 is a non-calculator assessment and a calculator is allowed for Paper 2 and Paper 3.
  • Each paper is 1 hour and 30 minutes long and allotted 80 marks each.
  • The content outlined for each tier will be assessed across all three papers.
  • Each paper has a range of question types; some questions will be set in both mathematical and non-mathematical contexts.
  • The qualification is graded and certificated on a nine-grade scale from 9 to 1 using the total mark across all three papers where 9 is the highest grade.
  • Foundation tier: grades 1 to 5.
  • Higher tier: grades 4 to 9 (grade 3 allowed).

 

Tier Topic area Weighting

Foundation

Number

Algebra

Ratio, Proportion and Rate of change

Geometry and Measures

Statistics & Probability

Higher

Number

Algebra

Ratio, Proportion and Rate of change

Geometry and Measures

Statistics & Probability

 

22 – 28%

17 – 23%

22 – 28%

12 – 18%

12 – 18%

 

12 – 18%

27 – 33%

17 – 23%

17 – 23%

12 – 18%

 

Year 9 Higher Tier Curriculum

 

 

Number 1

a Calculations, checking and rounding
b Indices, roots, reciprocals and hierarchy of operations
c Factors, multiples and primes
d Standard form and surds
Algebra 1 a Algebra: the basics
b Setting up, rearranging and solving equations
c Sequences

Autumn Term

 

 

 

 

Statistics 1 a Averages and range
  b Representing and interpreting data
c Scatter graphs
c Ratio and proportion
Geometry 1 a Polygons, angles and parallel lines
b Pythagoras’ Theorem and trigonometry

Spring Term

 

Geometry 1 a Polygons, angles and parallel lines
b Pythagoras’ Theorem and trigonometry
Algebra 2 a Graphs: the basics and real-life graphs
b Linear graphs and coordinate geometry
c Quadratic, cubic and other graphs
  d END OF YEAR 9 EXAMINATION

Summer Term

 

 

 

 

 Y10 Higher Tier Curriculum

Geometry 2 a Perimeter, area and 3D forms & volume
b Circles, cylinders, cones and spheres
c Accuracy and bounds
Geometry & Measures a Transformations
b Constructions, loci and bearings
Algebra 3 a Solving quadratic and simultaneous equations
b Inequalities

Autumn Term

 

Probability 1   Probability
RPR 2   Multiplicative reasoning

Spring Term

 

Measures 2   Similarity and congruence in 2D and 3D
Geometry 3 a Graphs of trigonometric functions
b Further trigonometry
    END OF YEAR 10 EXAMINATION

 Summer Term

Y11 Higher Tier Curriculum

 

Statistics 2

a Collecting data
b Cumulative frequency, box plots and histograms
Algebra 4   Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics
Geometry 4 a Circle theorems
b Circle geometry

Autumn Term

Algebra 5 a

b

c

d

e

Changing the subject of formulae (more complex),

algebraic fractions,

solving equations arising from algebraic fractions,

rationalising surds,

proof

Geometry 5 Vectors and geometric proof
Direct and inverse proportion

Spring Term   

 

Algebra 6   Reciprocal and exponential graphs; Gradient and area under graphs
    Revision and Past Papers
    GCSE Examination

Summer Term

 

Year 9 Foundation Tier Curriculum

 

Number 1

a Integers and place value
b Decimals
c Indices, powers and roots
d Factors, multiples and primes
Algebra 1 a Algebra: the basics
b Expanding and factorising single brackets
c Expressions and substitution into formulae

Autumn Term

 

Statistics 1 a Tables
b Charts and graphs
c Pie charts
d Scatter graphs
RPR 1   Fractions, decimals and percentages

 

Spring Term   

 

Algebra 2 a Equations
b Inequalities
c Sequences
Geometry & Measure 1 a Angles, lines and symmetry
b Polygons and parallel lines
c Interior and exterior angles of polygons

Summer Term

 

Year 10 Foundation Tier Curriculum

Statistics 2 a The averages
b Statistics and questionnaires
 Geometry & Measure 2 a Perimeter and area
b 3D forms and volume
 Algebra 3 a Real-life graphs
b Straight-line graphs

Autumn Term

 

Spring Term   

Geometry & Measures 3   Transformations
RPR 2   Ratio & Proportion
Geometry 1   Right-angled triangles: Pythagoras and trigonometry

 

Summer Term

Probability   Probability I & II
 RPR 3   Multiplicative reasoning

Year 11 Foundation Tier Curriculum

 

Autumn Term

Geometry & Measures 4 a Plans, elevations and nets
b Constructions, loci and bearings
Algebra 4 Quadratic equations: expanding and factorising
Quadratic equations: graphs
 Geometry & Measures 5 Circles, cylinders, cones and spheres

 

Spring Term 

Number 2 a Fractions and reciprocals
b Indices and standard form
Geometry 2 a Similarity and congruence in 2D
b Vectors

 

Summer Term

Algebra 7   Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations
    Revision and Past Papers
    GCSE Examination