“Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty”
Archimedes
Subject Staff
Name 
Role 
Contact 
Miss R Price 
Head of Maths 
Contact 
Miss R Holmes 
Classroom Teacher, Second in Maths 
Contact 
Mr S Natha 
Classroom Teacher, Second in Maths 
Contact 
Mr A Moore 
Classroom Teacher 
Contact 
Mrs G Clark 
Classroom Teacher, Head of Year 10, ELT 
Contact 
Mrs B Prestwood 
Classroom Teacher, Head of Year 8 
Contact 
Our Intent:
Mathematics at Central Lancaster High School is designed with the intention that all pupils will be able to explore a variety of representations of mathematical structures through different approaches. Pupils arrive to Central Lancaster high school with different attitudes to mathematics, so the appropriate blend of cooperative and independent learning helps to build their confidence whilst also discovering mathematical formulae and deepening their understanding. Pupils develop so that they can articulate their reasoning and think mathematically, whilst also having the resilience and resource to be able to organise their own thinking and devise strategies independently. Pupils will develop their fluency across a broad range of topics including number, algebra, shape, statistics and ratio and proportion.
KS3 Overview of Units:

Term 1 Topics

Term 2 Topics

Term 3 Topics

Detailed Overview

Curriculum Roadmap

Year 7

Number: Understanding
 Prime numbers
 Ordering positive and negative decimal values
 Rounding numbers
 Truncating numbers
 Writing simple error intervals
 Calculator Skills
Number: 4 Operations
 Addition and subtraction
 Multiplication and division
 Apply all 4 operations to ‘reallife’ problems
 Squares and square roots
Algebra
 Substitution
 Simplify expressions
 Form and solve equations
 Expanding brackets
 Factorising
 Inequalities
 Sequences

Number: Fractions and Percentages
 Mixed numbers and improper fractions
 Equivalent fractions
 Simplify fractions
 Add and subtract proper fractions
 Multiply and divide proper fractions
 Express one quantity as a fraction of another
 Fraction of an amount
 Express one quantity as a percentage of another
 Percentage of an amount
 Fractions, decimals and percentages
Ratio and Proportion
 Simplify a ratio
 Relate ratio to fractions
 Ratio in the form 1:n
 Scales and scale drawing
 Sharing into ratio
 Direct proportion
Geometry: Similarity and Shape
 Rotation
 Reflection
 Translation
 Enlargement
 Plot coordinates in all 4 quadrants

Geometry: Angles
 Classify 2D and 3D shapes
 Estimate, measure and draw angles
 Angle facts
 Angle properties in all triangles
 The sum of angles in a quadrilateral
 Recognise and name regular polygons
Geometry: Area, Perimeter and Volume
 Rectilinear shapes
 Triangles
 Parallelograms
 Convert metric units
 Net of a cube/ cuboid
 Volume and surface area of a cube/ cuboid
 Plans of 3D shapes
 Isometric drawings
 Label parts of circles
Data
 Averages and the range
 Grouped data
 Frequency polygons
 Pie charts
 Probability scales
 Describe probabilities
 Find simple probabilities
 Probabilities of all possible outcomes
 Time problems

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Year 8

Number: Understanding
 Standard form
 Rounding
 Truncating
 Error intervals
 Square roots
 Cubes and cube roots
 Powers and associated roots
 BIDMAS
 Product of primes
 Calculator use
Number: 4 Operations
 Factors, multiples and primes
 Apply the four operations to decimals
 HCF and LCM
Algebra
 Substitution
 Simplify expressions
 Expanding brackets
 Factorising
 Form and solve equations
 Sequences
 Plot linear graphs
 Inequalities

Number: Fractions and Percentages
 Apply the 4 operations to fractions
 Fractions of an amount
 Use a calculator to solve fractions problems
 Fractions, decimals, and percentages
 Percentages of an amount
 Percentage increase/decrease
 Percentages on a calculator
 Percentage change
 Compare quantities using fractions and percentages
Ratio and Proportion
 Dividing into ratio
 Combining ratio
 Direct and inverse proportion
 Best buy problems
Geometry: Similarity and Shape
 Rotation
 Reflection
 Translation
 Enlargement
 Congruent shapes
 Similar shapes
 Constructions
 Loci

Geometry: Angles
 Interior and exterior angles
 Regular polygons
 Angles in parallel lines
Geometry: Area, Perimeter and Volume
 Trapezium
 Compound shapes
 Nets of triangular prisms and cylinders
 Volume and surface area
 Area and circumference of a circle
 Circle definitions
Data
 Averages and the range
 Scatter graphs and correlation
 Apply the property that the probabilities of all outcomes sum to 1
 Lists and sample space diagrams
 Expected frequency
 Frequency tables
 Relative frequency

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Year 9

Number: Understanding
Algebra
 Rearrange formulae
 Expanding brackets
 Form and solve linear equations
 Linear inequalities
 The equation of a straightline graph
 Draw graphs of functions
 Midpoints
 Gradient of a line
 Parallel lines
 Graphs from real life examples
 Draw and interpret linear graphs and piecewise linear graphs

Number: Fractions and Percentages
 Solve percentage problems that involve finding the original amount
 Simple interest
 Compound interest
 Solve a range of problems involving a range of skills and contexts
Ratio and Proportion
 Compound units
 Change freely between related standard units
 Direct and inverse proportion
Geometry: Angles
Bearings

Geometry: Similarity and Shape
 Transformations
 Invariant points
 Column vectors
 Congruent triangles
 Prove similarity
 Constructions
 Loci
 Trigonometry
Geometry: Area, Perimeter and Volume
 Area and circumference of a circle
 Compound shapes with circles
 Volume and surface area of a cylinder
 Pythagoras’ Theorem
Data
 Averages for grouped frequency tables
 Analyse and compare the distributions of data
 Frequency tables and bar charts for continuous data
 Frequency trees
 Twoway tables
 Venn diagrams

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Parents / carers can best support pupils by: ensuring students know their times tables and encouraging them to use Times Table Rockstars and Hegarty Maths and complete any homework set.
Key Stage 4:
Edexcel GCSE Maths (Higher and Foundation)
Web link to specification:
https://qualifications.pearson.com/content/dam/pdf/GCSE/mathematics/2015/specificationandsampleassesment/gcsemaths2015specification.pdf

Term 1 Topics

Term 2 Topics

Term 3 Topics

Year 10

Number: Understanding
 Standard form
 Indices
 Surds
Algebra
 Rearrange formulae
 Simplify and manipulate algebraic expressions
 Form and solve linear equations
 Linear inequalities
 Straight line graphs
 Quadratic graphs
 Solving Equations
 Inequalities
 Expanding the product of 2 binomials and factorise quadratics
Number: Fractions and Percentages
 Percentage problems finding the original amount
 Simple interest
 Compound interest
 Multipliers
 Fraction rules
 Fractions, decimals and percentages
 Problem Solving
 Set up, solve and interpret growth and decay problems

Ratio and Proportion
 Compound units
 Converting units
 Direct and inverse proportion
 Ratio
 Quadratic graphs and simple cubic graphs.
 Interpret the gradient of a straight line graph as a rate of change
 Real life graphs.
Geometry: Similarity and Shape
 Transformations
 Invariant points
 Column vectors
 Congruent triangles
 Similar shapes
 Constructions
 Trigonometry
 Pythagoras’ Theorem
 Simple vectors
Geometry: Angles and Circles
 Bearings
 Angle laws
 Angles in parallel lines
 Internal and external angles of polygons

Geometry: Area, Perimeter and Volume
 Circles
 Compound shapes
 Volume and surface area
 Pythagoras’ theorem
Data
 Averages from grouped frequency tables
 Analyse and compare distributions of data
 Frequency tables and bar charts form continuous data
 Frequency trees
 Twoway tables
 Venn diagrams
 Averages from a table
 Time series graphs

Year 11

Number: Fractions and Percentages
 Percentage problems noncalculator and calculator
 Calculations with fractions and mixed numbers
 FDP conversions
 Interest
Higher tier only:
 Repeated percentage change problems
Ratio and Proportion
 Ratio to fractions and percentages
 Sharing amounts into ratios
 Best Value
 Exchange rates
 Direct and inverse proportion
 Conversion graphs
 Compound units
Higher tier only:
 More complex algebraic direct and inverse proportion
 Gradient of a point on a curve
 Area under a graph and what it represents
Number: Understanding
 Recap factors, multiples and primes
 Recap estimation
 Recap error intervals
 Recap Index laws
 Work with numbers in standard form
Higher tier only:
 Calculating with surds
 Rationalise a Denominator
 Converting between Recurring Decimals and Fractions
 Calculate negative and fractional indices
 Calculate with upper and Lower Bounds

Algebra
 Recap solving equations
 Simultaneous equations
 Factorising and solving quadratics
Higher tier only:
 Factorising harder quadratics
 Completing the square
 Quadratic formula
 Expanding three brackets
 Functions
 Perpendicular lines
 Quadratic sequences
 Algebraic fractions
 Equation of a circle
 Quadratic inequalities
Geometry: Similarity and Shape
 Recap vectors
 Recap transformations
 Recap constructions
 Recap congruence
 Recap similar shapes
 Recap trigonometry
Higher tier only:
 Pythagoras and trigonometry in 3D shapes
 Sine and cosine rule
 Complex vector problems
 Negative enlargements
Geometry: Angles and Circles
 Recap angle rules
 Recap bearings
Higher tier only:

Geometry: Area, Perimeter and Volume
 Recap area of rectangle, triangle, parallelogram and trapezium
 Recap area and circumference of a circle
 Recap volume and surface area of cubes, cuboids and basic prisms
Higher tier only:
 Volume and surface area of more complex 3D shapes
 Cones, pyramids, spheres and frustums
Data
 Recap averages
 Recap probabilities
 Venn diagrams
 Tree diagrams
Higher tier only:
 Capture recapture
 Box plots and cumulative frequency curves
 Histograms
 Conditional probability
 Complex probability problems
Preparation for Exams

Assessment:
The students will be studying for the Edexcel maths GCSE 1MA1 and will either be entered for foundation tier (grades 15) or higher tier (grades 39)
Paper 1

Non Calculator

1 hour 30 minutes

33.3%

Paper 2

Calculator

1 hour 30 minutes

33.3%

Paper 3

Calculator

1 hour 30 minutes

33.3%

Parents / carers can best support students by: encouraging students to use Sparx maths to both consolidate their learning and reduce gaps in knowledge, attend revision sessions and complete all homework set.
Additional materials to support study and revision: