Maths

The Mathematics Department aims to equip all students with the tools to solve problems and think analytically. We want all students to leave with the skills to carry out day to day activities that involve the use of mathematics. Students will benefit from experienced, passionate teachers who enjoy their subject and have an invested interest in getting the most out of their God given talents.
KEY STAGE 3
YEAR 7
Autumn 1
Carrying out long multiplication and division:3-digit by 2-digit
Using negative numbers in context and the four operations
Understanding the order of operations
Knowing prime numbers up to 100
Divisibility checks in this order for 2,5,10,3,4,6,9,11**
Finding factors of numbers and multiples
Finding HCF AND LCM between 2 and 3 different numbers.
Naming polygons (n=3-10)
Understanding the geometrical properties of triangles and quadrilaterals
Naming common 3D shapes.
Identifying faces, edges and vertices
Working with nets of shapes
Constructing and interpreting plans and elevations
Calculating with fractions in simple cases.
Calculating simple fractions of quantities
Understanding place value
Rounding to various decimal places
Ordering decimals
Rounding to 1 significant figure
Long multiplication and division, including decimals
Estimation
Autumn 2
Outcomes
Naming, measuring and drawing angles
Using the angle sum on a straight line = 180º and Quads and Triangles
Solving problems involving parallel lines
Knowing triangle proofs (exterior angle & angle-sum)
Solving problems involving polygons, e.g. interior angles including working backwards.
Solving simple problems involving polygons. NOT ALGEBRA
Calculating simple percentages of quantities.
Finding percentages of an amount using calculator
Calculating an increase or decrease by a percentage, including VAT
Using data collection sheets
Questionnaires
Explaining sampling techniques and pros and cons
Finding mean, median, mode and range of raw data
Knowing pros and cons of each average, and which to use to compare two distributions
Working back from the mean to find sum of data and frequency
MMMR from a frequency table
Calculating moving averages
Spring 1
Estimating lengths
Converting between metric and imperial units using known facts
Converting between units of area, e.g. m² to cm²
Using simple scale drawings
Solving problems involving similar triangles (+ve scale factor)
Deriving simple expressions
Simplifying simple algebra
Expanding brackets such as x(x+4)
Factorising, e.g. x² - 5x and 12x – 8
Expanding and simplifying brackets and expressions
Substituting negative numbers into algebraic expressions
Using simple formulae (include unit conversion) **not inverse**
IF TIME: Expand (x+2)(x-5)
IF TIME: Factorise Quadratics
Converting between fractions, decimals and percentages
Ordering fractions, decimals and percentages
Quantity of an anount as a percentage.
Calculating profit and loss
Converting fractions to a ratio, e.g. 1/3 of a whole is 1:2
Proportion questions (e.g. recipes not exchange rates)
Simplifying ratios
Dividing quantities into ratios
Solving questions that include fractions, dec % and ratio
Spring 2
Constructing and interpreting bar charts to compare two sets of data
Constructing a stem and leaf diagram
Interpreting a stem and leaf diagram to find the median
Interpreting a time series graph
Constructing a pie chart, and comparing two sets of data
Constructing and interpreting scatter graphs and correlation
Drawing and using lines of best fit and creating predictions and knowing when predictions are valid.
Introduce two way tables
Identifying lines of symmetry
Identifying planes of symmetry
Identifying rotational symmetry
Carry out enlargements in simple cases (i.e. no point)
Carry out simple reflections and rotations
Solving simple equations, e.g. 5x = 25 and x-2=6
Solving simple equations, e.g. 3y + 2 = 8
Solving equations, including unknowns on both sides
Deriving and solving equations from worded problems
Deriving and solving equations from diagrams and polygons
Using a formula inversely, e.g. find x if y=3 where y = 2x-1
Summer 1
Finding simple squares, cubes and roots
Calculating indices and roots, e.g. 4³, 2³ x 3²,‘the cube of 4’
Using a calculator, e.g. ‘1∙5³’ and ‘square root of 23∙78’
Include standard form intorduction.
Stating simple probability
Listing all outcomes for a single event
Using the fact that the sum of probabilities is 1
Finding missing probability from a list or table of results
Understanding and using relative frequency
Finding probabilities from a 2-way table
Estimating probability from diagrams, pie charts and tables
Finding terms in a linear sequence
Finding the nth term
Knowing whether terms are within a sequence
Recognising non-linear number sequences
Recognising complex number sequences
Summer 2
Finding area and perimeter of rectangles and kites
Finding area of triangle, regular polygons, compound shapes
Calculating area or circumference of a circle given radius
Calculating volumes in simple cases
Completing tessellations
Using co-ordinates in four quadrants
Calculating midpoints of a point (and work backwards)
Constructing simple linear graphs
Understanding unstructured linear graphs
Using conversion graphs
Measuring simple bearings
Drawing and measuring bearings
Constructing accurate drawings and angles and bearings
YEAR 8
PLEASE note: Although some of the topics featured in the year 8 scheme have the same topic names as year 7, they are a progression in difficulty and level.
Autumn 1
Recap order of operations and Negatives.
Divisibility checks in this order for 2,5,10, 3,4,6,9,11
Knowing prime numbers up to 100
Finding factors of numbers and multiples.
Finding the prime factor decomposition of a number
Finding the highest common factor and lowest common multiple
Understanding the geometry of triangles and quadrilaterals
Solving problems involving parallel lines
Working out the exterior and interior angles as well as sum.
Solving problems involving polygons, e.g. interior angles including working backwards.
Working with nets of shapes
Constructing and interpreting plans and elevations
Performing all operations with fractions and integers, mixed numbers and fractions as well as mixed and mixed.
Finding fractions and mixed numbers of an amount
Reciprocals
Long multiplication and division, including decimals as well Multiplication and division by a number between 0 and 1
Rounding to 1 significant figure
Estimation
Estimation and division by a number of less than 1
Autumn 2
Outcomes
Prove the area of triangles and quadrilateral
Calculating area or circumference of a circle given radius or diameter
Finding area and perimeter of triangles, regular polygons, compound shapes
Calculating volumes in simple cases
Finding volumes of 3D shapes including prisms
Finding percentages by mental methods and calculator
Calculating an increase or decrease by a percentage
Calculating percentage decrease and increase
Calculating compound interest and simple interest
Extend to reverse if time.
Using data collection sheets
Questionnaires
Explaining sampling techniques and pros and cons
Finding mean, median, mode and range of raw data. Extend to Calculating moving averages
Knowing pros and cons of each average, and which to use to compare two distributions
Working back from the mean to find sum of data and frequency
MMMR from a frequency table
Spring 1
Finding dimensions of a formulae
Converting between metric and imperial units using known facts
Measuring simple bearings
Drawing and measuring bearings
Understanding, using and solving problems with bearings
Simplifying simple algebra
Expanding brackets such as x(x+4)
Factorising, e.g. x² - 5x and 12x – 8
Expanding brackets and simplifying the result
Expanding and simplifying brackets and expressions
Substituting negative numbers into algebraic expressions
Substitution into complex formulae
Expand (x+2)(x-5)
Factorise Quadratics
Converting between fractions, decimals and percentages
Ordering fractions, decimals and percentages
Calculating with ratios
Simplifying ratios
Solving problems involving proportion in simple cases
Calculating with ratios in recipes
Solving questions that include all the above facts.
Spring 2
Interpreting a stem and leaf diagram to find the median
Interpreting a time series graph
Using data collection sheets
Finding probabilities from a 2-way table
Drawing box plots
Using ‘fx’ in a frequency table
Constructing a pie chart
Constructing a stem and leaf diagram
Constructing and interpreting scatter graphs
Drawing and using lines of best fit
Understanding correlation
Use of Pythagoras’ Theorem
Coordinates
Finding the length of a line given 2 points
Finding the midpoint between two points
Using coordinates in 3D problems
Solving simple equations, e.g. 3y + 2 = 8
Using a formula inversely, e.g. find x if y=3 where y = 2x-1
Solving equations, including unknowns on both sides
Deriving and solving equations from diagrams
Solving equations
Rearranging simple formulae
Summer 1
Calculating indices and roots, e.g. 4³, 2³ x 3²,‘the cube of 4’
Using a calculator, e.g. ‘1∙5³’ and ‘square root of 23∙78’
Using a calculator in complex situations
Using the rules of indices in numeric situations
Calculating problems involving numbers in standard form
Using the fact that the sum of probabilities is 1
Understanding and using relative frequency
Finding missing probability from a list or table of results
Recognising complex number sequences
Finding the nth term for a linear sequence
Solving cubic equations by trial and improvement
Introduction to Inequalities and simple solving.
Summer 2
Carrying out enlargements in simple cases
Identifying planes of symmetry
Carrying out simple transformations
Carry out transformations including translation with vectors
Solving problems involving similar triangles (+ve scale factor) ****IF TIME****
Constructing simple linear graphs
Using conversion graphs
Understanding unstructured linear graphs
Solving simultaneous equations by graphical methods
Using y = mx+c to find the gradient and equation of a line without drawing
Graphing quadratic functions in simple cases
Solving quadratic equations graphically
Interpreting real-life graphs, eg travel graphs
Constructing the perpendicular bisector of a given line
Constructing loci
Constructing accurate drawings and angles
Carrying out constructions, eg triangles in all situations
Completing tessellations
KEY STAGE 4
YEAR 9
Depending on set your students will be learning some if not all of the following.
Autumn Term 1
Indices
Calculating with negative numbers
Decimals
Rounding and estimation
Fractions
Percentages
Writing algebraic expressions and substitution
Simplifying algebraic expressions and expanding brackets
Factorising
Solving linear equations
Autumn Term 2
Properties of angles
Collecting data
Representing data
Probability
Spring Term 1
Percentages 2
Ratio and Proportion
Graphs and equations
Expressions and equations
Linear sequences
Spring Term 2
Units
·3D shapes, surface area and volume
Transformation and coordinates
Representing and processing data and averages
Summer Term 1
Indices and standard form
Speed, Distance, Time
Inequalities
Rearranging a formula
Summer Term 2
Trigonometry
Statistics
Probability
Construction and loci
YEAR 10 - Edexcel
Year 10 Higher:
Autumn1
Properties of numbers including indices
Decimals, four operations.
Rounding and estimation
Fractions, four operations
Percentages
Substitutions and formulae
Simplifying algebraic expressions
Expanding single and double brackets
Factorising
Autumn 2
Solving equations including fractional
Angles
Angles in polygons
Bearing
Ratio and proportion / speed distance time graphs
Similar shapes
Spring 1
Presenting and processing data
Averages from tables
Area of rectilinear s
Volume of prisms
Spring 2
Pythagoras including 3D
Trigonometry and trigonometric ratios
Using the sine and the cosine rules
Circle theorems
Summer 1
Equation of a straight line
Transformation
Algebra: Changing the subject of a formula
Quadratic equations
Standard forms and surds
Summer 2
Construction and loci
Probability
Upper and lower bounds
Simplifying algebraic fractions
Solving equations containing fractions
Vectors
GCSE MATHS Exam board
EDEXCEL
Year 10 Higher:
Autumn1 - Properties of numbers including indices Decimals, four operations. Rounding and estimation Fractions, four operations Percentages Substitutions and formulae Simplifying algebraic expressions Expanding single and double brackets Factorising
Autumn 2 - Solving equations including fractional Angles in polygons Bearing Ratio and proportion / speed distance time graphs Similar shapes
Spring 1 - Presenting and processing data Averages from tables Area of rectilinear s Volume of prisms
Spring 2 - Pythagoras including 3D Trigonometry and trigonometric ratios Using the sine and the cosine rules Circle theorems
Summer 1 - Equation of a straight line Transformation Algebra: Changing the subject of a formula Quadratic equations Standard forms and surds
Summer 2 - Construction and loci Probability Upper and lower bounds Simplifying algebraic fractions Solving equations containing fractions Vectors
Year 10 Foundation:
Autumn1 - Numbers properties including simple indices Decimals Rounding and estimation Fractions Percentages Ratio and proportion
Autumn 2 - Forming algebraic expressions Substitution Simplifying and expanding Forming and solving equations Inequalities Linear sequences
Spring 1 - Perimeter and area of rectilinear Area and circumference of a circle Surface area and volume of prisms
Spring 2 - Angles in quadrilaterals Angles in polygons Bearing Construction
Summer 1 - Pythagoras Collecting and processing data Scatter graphs Averages from tables Estimated mean
Summer 2 - Probability Representing linear functions graphically Representing and solving inequalities Transformation
Year 11
Exam Board:
Edexcel
Programme of Study:
Year 11 - Higher
Autumn 1 Inequalities and formula Graphs and equations Simultaneous equations Quadratics
Autumn 2 Quadratics Area and volume Line and scatter graphs Indices Standard form
Spring 1 Surds Similar shapes Direct and inverse proportion probability
Spring 2 Probability Pythagoras and trigs Trigonometry (non right angle_ Vectors Transformation Algebraic fractions
Summer 1 Proof Circle geometry
Year 11 - Foundation
Autumn 1 Numbers properties including simple indices Decimals Rounding and estimation Fractions Percentages Ratio and proportion
Autumn 2 Forming algebraic expressions Substitution Linear graphing Simplifying and expanding Forming and solving equations Inequalities Linear sequences
Spring 1 Perimeter and area of rectilinear Area and circumference of a circle Surface area and volume of prisms Angles
Spring 2 Angles in
SIXTH FORM
YEAR 12 – edexcel (AS level)
Autumn Term 1
Algebra and Quadratics
Equations AND Inequalities
Sketching Curves
Mathematical Modelling
Representing Data- Location
Representing Data-Dispersion
Representing Data
Autumn Term 2
Coordinate Geometry
Sequences and Series
Differentiation
Integration
Probability
Correlation
Spring Term 1
Algebra
Sine and cosine
Exponentials
Coordinate Geometry
Binomial Expansion
Regression
Discrete Random Variables
Normal Distribution
Spring Term 2
Radians and Sectors
Geometric Sequence
Trig Graphs and Trig Identities
Differentiation
Integration
Summer Term 1
Revision
Summer Term 2
Beginning A2 topics (Trigonometry)
YEAR 13– edexcel (a level)
Autumn Term 1
Algebraic Fractions
Functions
Exponential Functions
Mathematical Modelling
Kinematics
Autumn Term 2
Numerical Methods
Transformations of Graphs
Trigonometry 1 & 2
Differentiation
Dynamics
Spring Term 1
Partial Fractions
Coordinate Geometry
Binomial Expansion
Differentiation
Statics
Moments
Spring Term 2
Vectors in Calculus
Vectors in Mechanics
Integration
Summer Term 1
Revision