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Mathematics

Overview

Mathematics lessons at Applemore provide a variety of challenging activities designed to motivate and engage enquiring minds.  Our aim is to develop problem-solving skills and expand these by incorporating concepts from the Edexcel GCSE Mathematics course.

We focus on making all elements of the curriculum relevant to life beyond the classroom. For example: calculating how much it would cost to tile a wall.

At home, we would encourage parents and carers to consolidate the work completed in lessons to ensure it is fully embedded.  This will enable students to make excellent progress and feel completely confident in the new skills they have acquired.

Department Staff
 

Mr J Byrne
(Head of Mathematics)

Mr J Salzman
Mr C Lopez
Mrs L Godfrey
Mrs M Markham-Smith
Mr R Purdy
 

Key Stage 3 (Topics)
 

Year 7
  • Sequences and coordinates
  • Place value
  • Four operations
  • Algebra
  • Number types
  • Statistics
  • Angles
  • Graphs
  • Fractions and decimals
  • Percentages, ratio and proportion
  • Problem-Solving
Year 8
  • Statistics
  • Angles
  • Graphs
  • Fractions and decimals
  • Percentages, ratio and proportion
  • Problem soling
  • Algebraic manipulation
  • Transformations
  • Probability
  • Further angles
  • Primes
  • Calculator use
  • Further soling equations and graphs
  • Interpreting and representing data
  • Algebraic sequences
  • Constructions
  • Trigonometry
Year 9

 

Foundation Tier

  • Integers and place value
  • Decimals
  • Indices, powers and roots
  • Factors, multiples and primes
  • Algebra: the basics
  • Expanding and factorising single brackets
  • Expressions and substitution into formulae
  • Tables
  • Charts and graphs
  • Pie charts
  • Scatter graphs
  • Fractions
  • Fractions, decimals and percentages
  • Percentages
  • Equations
  • Inequalities
  • Sequences
  • Properties of shapes, parallel lines and angle facts
  • Interior and exterior angles of polygons
  • Statistics and sampling
  • The averages

Higher Tier

  • Calculations, checking and rounding
  • Indices, roots, reciprocals and hierarchy of operations
  • Factors, multiples and primes
  • Standard form and surds
  • Algebra: the basics
  • Setting up, rearranging and soling equations
  • Sequences
  • Averages and range
  • Representing and interpreting data
  • Scatter graphs
  • Fractions
  • Percentages
  • Ratio and proportion
  • Polygons, angles and parallel lines
  • Pythagoras’ Theorem and trigonometry
  • Graphs: the basics and real-life graphs
  • Linear graphs and coordinate geometry
  • Quadratic, cubic and other graphs
  • Perimeter, area and circles
  • 3D forms and volume, cylinders, cones and spheres
  • Accuracy and bounds

Key Stage 4 (Topics)
 

Courses & Assessment Methods

GCSE Mathematics
(Edexcel 1MA1)

x3 Exam Papers
(x1 non-calculator & x2 calculator exam papers)

FSMQ Additional Maths
(OCR 6993)

x1 Exam Paper
(Extra-Curricular)

Functional Skills in Mathematics
(Edexcel)

5-tiers of entry

Year 10

Foundation Tier

  • Perimeter and area
  • 3D forms and volume
  • Real-life graphs
  • Transformations I: translations, rotations and reflections
  • Transformations II: enlargements and combinations
  • Ratio
  • Proportion
  • Right-angled triangles: Pythagoras and trigonometry
  • Probability I
  • Probability II
  • Multiplicative reasoning
  • Plans and elevations
  • Constructions, loci and bearings

Higher Tier

  • Soling quadratic and simultaneous equations
  • Inequalities
  • Probability
  • Multiplicative reasoning
  • Similarity and congruence in 2D and 3D
  • Graphs of trigonometric functions
  • Further trigonometry
  • Collecting data
  • Cumulative frequency, box plots and histograms
  • Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics
  • Algebra
  • Enumeration
  • Coordinate geometry
  • Pythagoras and trigonometry
  • Calculus
  • Numerical methods
  • Exponentials and logarithms

Entry level 1

  • Using numbers and the number system (whole numbers)
  • Using common measures, shape and space
  • Handling information and data

Entry level 2, 3 (Level 1 and Level 2)

  • Using numbers and the number system (whole numbers, fractions and decimals)
  • Using common measures, shape and space
  • Handling information and data
Year 11

Foundation Tier

  • Quadratic equations: expanding and factorising
  • Quadratic equations: graphs
  • Circles, cylinders, cones and spheres
  • Fractions and reciprocals
  • Indices and standard form
  • Similarity and congruence in 2D
  • Vectors
  • Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations
  • Revision

Higher Tier

  • Circle theorems
  • Circle geometry
  • Changing the subject of formulae (more complex), algebraic fractions, soling equations arising from algebraic fractions, rationalising surds, proof
  • Vectors and geometric proof
  • Reciprocal and exponential graphs; Gradient and area under graphs
  • Direct and inverse proportion
  • Revision
  • Algebra
  • Enumeration
  • Coordinate geometry
  • Pythagoras and trigonometry
  • Calculus
  • Numerical methods
  • Exponentials and logarithms

Re-sit Functional skills exams

Curriculum Accessibility
 

Provision for SEND students
  • Access arrangements given for assessments
  • Visual and physical representations used where possible
  • Prepared resources adapted for particular needs in terms of coloured paper, font size etc.
  • Instructions delivered clearly and in multiple ways

X-Curricular
 

Clubs
  • Maths support eery Wednesday after school.  All invited.
  • FSMQ Additional Maths (Free-standing maths qualification) by invitation only
Events/Trips
  • UKMT Junior maths challenge for years 7 and 8 mathematicians
  • UKMT Intermediate maths challenge for years 9 and 10 mathematicians
  • Applemore Junior Schools’ Maths challenge for year 6 students from feeder schools

Resources
 

Apps
  • AppleLink
Software
  • Office 365 (https://www.office.com/)
Links/Websites

Future Pathways
 

Further Education
  • A level maths
  • All college courses will require a maths grade and most will require a level 4.
Career and Progression
  • Careers in accountancy and finance
  • Careers in banking
  • Actuarial careers
  • Statistician careers
  • Careers in academia and research
  • Engineering
  • Meteorology
  • Teaching