Maths

Maths is taught to all pupils in Year 7, with classes set according to ability. This allows teachers to scaffold the work accordingly. The Year 7 SOW intends to consolidate and build upon knowledge acquired at KS2. We aim to develop mathematical fluency, reasoning and enable our pupils to be competent in solving problems.

UNIT 1 – SEQUENCES
Exploring sequences, understanding algebraic notation and equality

• Describe, continue and find missing terms in diagrammatic and numerical sequences
• Term to term rules of sequences
• Know the difference between linear and non-linear sequences
• Describe, continue and find missing terms in non-linear sequences

UNIT 2 – ALGEBRAIC NOTATION

Understanding and using algebraic expressions

• Working with function machines
• Use diagrams and letters to generalise number operations
• Understand the meaning of a variety of algebraic expressions
• Substitute into expressions
• Generate sequences given the nth term

UNIT 3 – EXPRESSIONS AND EQUATIONS

Working with equivalent expressions and introducing equations

• Understand the meaning of like and unlike terms
• Simplify expressions by collecting like terms
• Solve one step equations involving any operation
• Solve two step equations

UNIT 4 – PLACE VALUE, ORDERING AND ROUNDING

Working with integers and decimals

• Understand place value for integers and decimals
• Work out intervals on a number line and position integers and decimals
• Compare integers and decimals using appropriate mathematical symbols
• Rounding integers and decimals
• Write 10, 100, 1000 as powers of 10
• Convert between standard form and ordinary numbers (greater than 1)

UNIT 5 – THE FOUR OPERATIONS

Using the four operations to solve problems

• Add and subtract integers and decimals
• Add and subtract numbers in standard form
• Multiply and divide by powers of 10
• Multiply and divide integers and decimals
• Order of operations

UNIT 6– AVERAGES AND RANGE

Analysing data using measures of central tendency

• Calculate the mode of a set of data
• Calculate the mean of a set of data
• Calculate the median of a set of data
• Calculate the range of a set of data
• Solve problems with averages and range

UNIT 7 – ROUNDING AND ESTIMATING

Using approximation to make sensible estimates

• Rounding to significant figures
• Use rounding to estimate calculations
• Solve problems with estimation
• Understand and use error interval notation

UNIT 8– FDP EQUIVALENCE

Developing knowledge of equivalent fractions, decimals and percentages

• Know the common equivalent fractions, decimals and percentages
• Convert between any fraction, decimal and percentage
• Identify and use equivalent fractions
• Explore fractions, decimals and percentages above 1

UNIT 9 – DIRECTED NUMBER

Using the four operations with negative numbers

• Compare and order directed numbers using lines and symbols
• Add, subtract, multiply and divide negative numbers
• Use a calculator for directed number calculations
• Use order of operations for directed numbers

UNIT 10– FRACTIONS AND PERCENTAGES OF AMOUNTS

Solve problems with fractions and percentages

• Calculate fractions of amounts
• Calculate percentages of amounts
• Work with problems involving percentage change
• Solve problems involving fractions and percentages over 100%

UNIT 11 – PERIMETER AND AREA

Exploring the perimeter and area of different shapes

• Convert between metric units of length
• Find the perimeter of a polygon
• Find the area of 2D shapes
• Form expressions with perimeter and area

UNIT 12 – ADDITION AND SUBTRACTION OF FRACTIONS

Solve problems involving the addition and subtraction of fractions and mixed numbers

• Add and subtract fractions
• Convert between mixed numbers and improper fractions
• Add and subtract mixed numbers
• Use equivalence to add and subtract fractions and decimals
• Add and subtract simple algebraic fractions

UNIT 13 – CONSTRUCTING, MEASURING AND GEOMETRIC NOTATION

Using mathematical equipment to construct, draw and measure

• Understand and use labelling conventions for lines, angles and figures
• Measure and draw angles
• Recognise types of polygons
• Constructions using a protractor and compass
• Drawing and interpreting pie charts

Maths is taught to all pupils in Year 8, with classes set according to ability. This allows teachers to differentiate the work accordingly. The Year 8 SOW intends to recap and build upon skills learnt in Year 7, as well as introduce new topics, making connections across different areas of Maths. We aim to develop mathematical fluency, reasoning and enable our pupils to be competent in solving problems.

UNIT 1 – TYPES OF NUMBER
Exploring types of number

• Recognise and use different types of number.
• Find and use multiples and lowest common multiples (LCM).
• Find and use factors and highest common factors (HCF).
• Working with prime numbers.

UNIT 2 – DEVELOPING GEOMETRIC REASONING
Using angles in a variety of situations

• Understand angle facts on straight lines, around a point, in triangles and quadrilaterals.
• Understand and use the equality of vertically opposite angles.
• Investigate angles in parallel lines.

UNIT 3 – PROBABILITY AND SETS
Working with probability and introducing set notation

• Know and use the vocabulary of probability.
• Use sample space diagrams to find probabilities.
• Use two way tables to find probabilities.
• Use Venn diagrams to find probabilities.
• Understand and use set notation.

UNIT 4 – RATIO AND SCALE
Exploring ratio and using to solve problems

• Understand and use ratio notation.
• Express ratios in their simplest form.
• Divide amounts in a given ratio.
• Compare ratios and fractions.

UNIT 5 – MULTIPLICATIVE CHANGE
Working with direct proportion

• Solve problems involving direct proportion.
• Explore conversion graphs.
• Convert between currencies.
• Explore relationship between similar shapes.
• Draw and interpret scale diagrams.

UNIT 6 – EXPRESSIONS AND BRACKETS
Working with algebraic expressions

• Form algebraic expressions.
• Substitute into algebraic expressions.
• Simplify algebraic expressions.
• Expand and simplify expressions with brackets.
• Factorise into a single bracket.

UNIT 7 – MULTIPLYING AND DIVIDING FRACTIONS
Further work with fractions

• Multiply integers and fractions.
• Divide integers and fractions.
• Understand and use the reciprocal.
• Multiply and divide mixed numbers.

UNIT 8 – WORKING IN THE CARTESIAN PLANE
Working with coordinates

• Work with coordinates in all four quadrants.
• Find the midpoints of line segments.
• Plot and recognise straight line graphs.
• Explore and calculate gradients of lines.
• Explore non-linear graphs.

UNIT 9 – INDICES
Exploring expressions involving powers

• Simplify expressions involving indices
• Using the Multiplication and Division Laws of Indices

UNIT 10 – REPRESENTING DATA
Working with different types of data

• Draw and interpret scatter graphs.
• Identify non-linear relationships.
• Know and identify different types of data.
• Working with frequency tables

UNIT 11 – EQUATIONS AND INEQUALITIES
Exploring and solving equations and inequalities

• Form and solve equations with and without brackets.
• Form and solve simple inequalities.
• Know the difference between an expression, equation, formula and identity.

UNIT 12 – STANDARD INDEX FORM
Exploring and working with numbers in standard form

• Converting between ordinary numbers and numbers on standard form.
• Calculating with numbers in standard form.

UNIT 13 – LINE SYMMETRY
Reflecting shapes

• Recognising line symmetry.
• Reflecting shapes in horizontal, vertical and diagonal lines.

Maths is taught to all pupils in Year 9, with classes set according to ability. This allows teachers to differentiate the work accordingly. The Year 9 SOW intends to build upon knowledge acquired in Year 7 and 8, as well as introduce new topics, making connections across different areas of Maths. We aim to develop mathematical fluency, reasoning and enable our pupils to be competent and resilient in solving problems.

UNIT 1 – PERCENTAGES
Using percentages in a variety of contexts

• Calculating percentages of amounts and using in a range of problems
• Calculating percentage change
• Finding original amounts given the results of a percentage change

UNIT 2 – AREA AND PERIMETER
Calculating area and perimeter of different shapes

• Perimeter of shapes and compound shapes
• Finding area of shapes and compound shapes
• Calculating area and circumference of circles

UNIT 3 – ALGEBRAIC EXPRESSIONS
Forming and manipulating algebraic expressions

• Simplify and manipulate algebraic expressions
• Expand and factorise quadratics
• Find the product of 3 brackets

UNIT 4 – DECIMALS AND ESTIMATIONS
Using decimals to solve problems

• Calculations with decimals
• Rounding including significant figures and estimating real life problems
• Error intervals and solving problems using bounds

UNIT 5 – FRACTIONS
Calculating with fractions and mixed numbers

• Calculate with fractions and mixed numbers and apply to problems, such as perimeter and substitution

UNIT 6 – ANGLES AND POLYGONS
Using angles in a variety of situations

• Use angle facts including parallel lines in more complicated questions
• Angles in polygons and use to solve problems
• Bearings

UNIT 7 – TRANSFORMATIONS
Manipulating shapes

• Reflecting, translating, rotating and enlarging
• Describing the transformation that has taken place

UNIT 8 –  FORMING AND SOLVING EQUATIONS

• Forming and solving linear equations involving brackets and unknowns on both sides
• Solving linear equations involving fractional and negative coefficients

UNIT 9 – 3D OBJECTS

• Recognise and sketch nets of 3D shapes
• Construct plans and elevations
• Find the surface area of 3D shapes
• Find the volume of 3D shapes

UNIT 10 – AVERAGES
Working with measures of location

• Calculating the averages
• Comparing data using averages and the range
• Calculating averages from a frequency table

UNIT 11 – INDICES AND STANDARD FORM
Calculations with powers and large numbers

• Simplify expressions with indices, including zero, negative and fractional powers
• Convert and perform calculations with numbers in standard form

UNIT 12 – PYTHAGORAS
Working with right angle triangles

• Know and use Pythagoras’ Theorem
• Apply to a variety of contexts

Maths is taught to all pupils in Year 10, with classes set according to ability. This allows teachers to differentiate the work accordingly. The Year 10 SOW intends to build upon knowledge acquired throughout KS3, as well as introduce new topics, making connections across different areas of Maths. We aim to develop mathematical fluency, reasoning and enable our pupils to be competent and resilient in solving problems.

UNIT 1 – SEQUENCES

• Generating and finding n^th terms of linear sequences.
• Generating and finding nth terms of quadratic sequences.
• Exploring non-linear sequences, including geometric.

UNIT 2 – DATA COLLECTION

• Different types of data and sampling techniques.
• Two way tables and frequency trees.

UNIT 3 – AREA AND CIRCLES

• Calculating perimeter and area of different shapes.
• Calculating area and circumference of circles and sectors.
• Calculating surface area.
• Calculating volume of 3D objects.

UNIT 4 – CONSTRUCTION AND LOCI

• Compass and ruler constructions.
• Understand and identify regions satisfying loci.

UNIT 5 – EQUATIONS AND FORMULAE

• Form and solve linear equations involving brackets and unknowns on both sides.
• Solve linear equations involving fractional and negative coefficients.
• Substitute in to complex formulae.
• Change the subject of a formula.

UNIT 6 – ANGLES AND BEARINGS

• Know and use angle facts in 2D shapes.
• Know and use angle facts associated with parallel lines.
• Measure and solve problems using bearings.

UNIT 7 – SURFACE AREA AND VOLUME

• Find the surface area and volume of prisms, cylinders and pyramids.
• Convert between area and volume units.
• Substitute into formula for surface area and volume of 3D shapes.

UNIT 8 – PERCENTAGES

• Calculating and using percentages in a range of problems and real-life situations.
• Calculating reverse percentages.
• Calculating compound interest and depreciation.

UNIT 9 – AVERAGES

• Calculating the averages from lists and tables.
• Constructing and interpreting Stem and Leaf diagrams.

UNIT 10 – COMPOUND MEASURES

• Understand, use and calculate measures of speed, density and pressure.
• Use and construct distance-time graphs.

UNIT 11 – LINEAR GRAPHS

• Draw and recognise linear graphs.
• Find equations of lines.

UNIT 12 – REPRESENTING DATA

• Representing and interpreting information presented in a variety of charts, including bar, dual bar and composite bar charts, pie charts, line graphs.
• Constructing and interpreting a frequency polygon.
• Working with scatters graphs and understanding correlation.

UNIT 13 – RATIO AND PROPORTION

• Writing, simplifying and working with ratios.
• Solving problems involving dividing into ratios.
• Solving problems involving direct proportion.
• Solving more complex ratio problems, involving other areas of Maths such as algebra.

UNIT 14 – PROBABILITY

• Calculate and list probabilities.
• Use experimental data to estimate probabilities.
• Use and construct Venn Diagrams with set notation.
• Use and construct tree diagrams for independent events.

Maths is taught to all pupils in Year 10, with classes set according to ability. This allows teachers to differentiate the work accordingly. The Year 10 SOW intends to build upon knowledge acquired throughout KS3, as well as introduce new topics, making connections across different areas of Maths. We aim to develop mathematical fluency, reasoning and enable our pupils to be competent and resilient in solving problems.

UNIT 1 – SEQUENCES

• Generating and finding n^th terms of linear sequences.
• Generating and finding nth terms of quadratic sequences.
• Exploring non-linear sequences, including geometric

UNIT 2 – VOLUME AND SURFACE AREA

• Finding the surface area and volume of prisms and other 3D shapes including cones, spheres and pyramids
• Converting between metric units of area and volume
• Finding the volume of hemispheres and frustums

UNIT 3 – EQUATIONS AND FORMULAE

• Forming and solving linear equations involving brackets and unknowns on both sides.
• Solving linear equations involving fractional, negative coefficients and powers of x.
• Changing the subject of a formula.
• Solve equations by iteration.

UNIT 4 – COMPOUND MEASURES

• Understanding, using and calculating measures of speed, density and pressure.
• Using and constructing distance-time graphs

UNIT 5 – TRIGONOMETRY

• Using Trigonometry to find missing sides and angles
• Know and use exact value of Trigonometry

UNIT 6 – PERCENTAGES

• Calculating and using percentages in a range of problems and real-life situations.
• Calculating reverse percentages.
• Calculating compound interest and depreciation.

UNIT 7 – CIRCLE THEOREMS

• Knowing and using the circle theorems
• Proving circle theorems

UNIT 8 – CONSTRUCTIONS, LOCI AND BEARINGS

• Compass and ruler constructions.
• Understand and draw elevations of 3D objects.
• Measure and solve problems using bearings.
• Understand and identify regions satisfying loci.

UNIT 9 – SIMULTANEOUS EQUATIONS

• Form and solve simultaneous equations
• Solve simultaneous equations both graphically and algebraically

UNIT 10 – PROBABILITY

• Calculating and working with probability in a variety of situations.
• Using tree diagrams to calculate probabilities of multiple events.
• Using Venn diagrams and set notation.

UNIT 11 – LINEAR GRAPHS

• Draw and recognise linear graphs
• Find equations of lines
• Interpret gradients and y-intercepts of real life graphs

UNIT 12 – SOLVING QUADRATICS

• Solving quadratics by factorising, the quadratic formula and completing the square.
• Working with quadratic graphs.

UNIT 13 – VECTORS

• Writing, representing and working with column vectors.
• Finding vectors between points.
• Using vectors for geometric proof.

UNIT 14 – REPRESENTING AND INTERPRETING DATA

• Representing and interpreting information presented in a variety of charts.
• Constructing and interpreting a frequency polygon.
• Working with scatters graphs and understanding correlation.
• Construct and interpret boxplots and cumulative frequency curves.
• Draw and interpret histograms.

UNIT 15 – TRANSFORMATIONS

• Transforming shapes using reflection, translation, rotation and enlargement.
• Enlarging using fractional and negative Scale Factors
• Identifying invariant points.

Maths is taught to all pupils in Year 11, with classes set according to ability. This allows teachers to differentiate the work accordingly. The Year 11 SOW intends challenge pupils by introducing new topics, making connections across different areas of Maths and prepare pupils for the GCSE. We aim to develop mathematical fluency, reasoning and enable our pupils to be competent and resilient in solving problems.

UNIT 1 – SIMULTANEOUS EQUATIONS

• Solving linear simultaneous equations.
• Solving simultaneous equations graphically.

UNIT 2 – TRANSFORMATIONS

• Transforming shapes using reflection, translation, rotation and enlargement.
• Enlarging using fractional scale factors.
• Identifying invariant points.

UNIT 3 – QUADRATICS

• Factorise quadratic expressions.
• Solving quadratics by factorising.
• Working with quadratic graphs.

UNIT 4 – SIMILARITY AND CONGRUENCE

• Identify congruence and know the conditions.
• Working with lengths of similar shapes.

UNIT 5 – PYTHAGORAS AND TRIGONOMETRY

• Use Pythagoras’ Theorem in a variety of contexts.
• Use trigonometry to calculate sides and angles.

UNIT 6 – INEQUALITIES

• Understand and represent inequalities on number lines and on graphs.
• Form and solve inequalities.

UNIT 7 – VECTORS

• Writing, representing and working with column vectors.
• Finding vectors between points.
• Using vectors for geometric proof.

Maths is taught to all pupils in Year 11, with classes set according to ability. This allows teachers to differentiate the work accordingly. The Year 11 SOW intends challenge pupils by introducing new topics, making connections across different areas of Maths and prepare pupils for the GCSE. We aim to develop mathematical fluency, reasoning and enable our pupils to be competent and resilient in solving problems.

UNIT 1 – ALGEBRAIC FRACTIONS AND PROOF

• Simplifying algebraic fractions.
• Solving equations involving algebraic fractions.
• Construct arguments to prove algebraically.

UNIT 2 – SURDS

• Simplifying and manipulating surds.
• Rationalising the denominator.

UNIT 3 – INEQUALITIES

• Understand and represent inequalities on number lines and on graphs.
• Form and solve inequalities.
• Quadratic inequalities.

UNIT 4 – RATIO AND PROPORTION

• Solve problems involving direct and inverse proportion.
• Form equations involving the constant of proportionality and use to solve problems.

UNIT 5 – SIMULTANEOUS EQUATIONS 2

• Forming and solving linear simultaneous equations.
• Solving quadratic simultaneous equations.
• Solve simultaneous equations graphically.

UNIT 6 – SIMILARITY AND CONGRUENCE

• Proving congruence using formal arguments.
• Working with similar shapes, including area and volume problems.

UNIT 7 – FURTHER PYTHAGORAS AND TRIGONOMETRY

• Using Pythagoras and trigonometry in 3D.
• Using trigonometry in non-right angled triangles.
• Calculating the area of a triangle using trigonometry

UNIT 8 – FURTHER GRAPHS

• Exploring further graphs including reciprocal and exponential functions.
• Calculate and understand the area under a curve.
• Calculate the gradient of non-linear graphs at a given point, and understand what this represents.

UNIT 9 – FUNCTIONS

• Understand and use function notation.
• Find inverse and composite functions.
• Transformations of functions.