### 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 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

• Addition and subtraction
• 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

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

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

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

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
• Gradient of a line
• Parallel lines
• Graphs from real life examples
• Draw and interpret linear graphs and piece-wise 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
• Two-way tables
• Venn diagrams

View Document

View Document

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/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 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 Two-way tables Venn diagrams Averages from a table Time series graphs Year 11 Number: Fractions and Percentages Percentage problems non-calculator 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: Circle theorems 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 1-5) or higher tier (grades 3-9)

 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:

 Resource Link Sparx Maths Corbett Maths Maths Made Easy Maths Genie

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