 ### Archimedes

#### Subject Staff

 Name Role Contact Miss R Price Head of Maths Contact Miss R Holmes Classroom Teacher Contact Mr S Natha Classroom Teacher Contact Mr A Moore Classroom Teacher Contact Mr G Clark Classroom Teacher, Head of Year 10 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 co-operative 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
•    Multiplication and division
•    Apply all 4 operations to ‘real-life’ problems
•    Squares and square roots

Algebra
•    Substitution
•    Simplify expressions
•    Form and solve equations
•    Expanding brackets
•    Factorising
•    Inequalities
•    Sequences

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: Similarity and Shape
•    Rotation
•    Reflection
•    Translation
•    Enlargement
•    Plot coordinates in all 4 quadrants

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

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

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

View Document View Document
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

Geometry: Angles
•    Interior and exterior angles
•    Regular polygons
•    Angles in parallel lines

Geometry: Similarity and Shape
•    Rotation
•    Reflection
•    Translation
•    Enlargement
•    Congruent shapes
•    Similar shapes
•    Constructions
•    Loci

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

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

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

View Document View Document
Year 9

Number: Understanding
•    Standard form
•    Indices

Algebra
•    Rearrange formulae
•    Expanding brackets
•    Form and solve linear equations
•    Linear inequalities
•    The equation of a straight-line graph
•    Draw graphs of functions
•    Midpoints
•    Parallel lines
•    Graphs from real life examples
•    Draw and interpret linear graphs and piece-wise linear graphs

Geometry: Angles
•    Bearings

Geometry: Similarity and Shape
•    Transformations
•    Invariant points
•    Column vectors
•    Congruent triangles
•    Prove similarity
•    Constructions
•    Loci
•    Trigonometry

Data
•    Averages for grouped frequency tables
•    Analyse and compare the distributions of data
•    Frequency tables and bar charts for continuous data
•    Frequency trees
•    Two-way tables
•    Venn diagrams

Geometry: Area, Perimeter and Volume
•    Area and circumference of a circle
•    Compound shapes with circles
•    Volume and surface area of a cylinder
•    Pythagoras’ Theorem

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

View Document View Document

Parents / carers can best support pupils by: ensuring pupils know their times tables and encouraging them to use Times Table Rockstars and complete any homework set.

#### Key Stage 4:

Edexcel GCSE Maths (Higher and Foundation)

https://qualifications.pearson.com/content/dam/pdf/GCSE/mathematics/2015/specification-and-sample-assesment/gcse-maths-2015-specification.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
•    Solving Equations
•    Inequalities
•    Expanding the product of 2 binomials and factorise quadratics

Geometry: Angles and Circles
•    Bearings
•    Angle laws
•    Angles in parallel lines
•    Internal and external angles of polygons

Geometry: Similarity and Shape

•    Transformations
•    Invariant points
•    Column vectors
•    Congruent triangles
•    Similar shapes
•    Constructions
•    Trigonometry
•    Pythagoras’ Theorem
•    Simple vectors

Data
•    Averages from grouped frequency tables
•    Analyse and compare distributions of data
•    Frequency tables and bar charts form continuous data
•    Frequency trees
•    Two-way tables
•    Venn diagrams
•    Averages from a table
•    Time series graphs

Geometry: Area, Perimeter and Volume
•    Circles
•    Compound shapes
•    Volume and surface area
•    Pythagoras’ theorem

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.

Year 11

•    Calculations and BIDMAS
•    Similarity and congruence
•    Probability
•     Linear graphs
•    Transformations
•    Inequalities
•    Simultaneous equations
•    Constructions and loci
•    Volume and surface area
• Preparation for Exams

#### Assessment:

 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 pupils by: encouraging pupils to use Hegarty Maths to both consolidate their learning and reduce gaps in knowledge, attend revision sessions and complete all homework set.