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Maths

Key Stage 3

At Thomas Mills High School & Sixth Form, our Key Stage 3 Mathematics curriculum is designed to build strong foundations in mathematical knowledge, understanding, and skills, ensuring that every student is well-prepared for the challenges of Key Stage 4 and beyond. We aim to nurture confident, curious and resilient learners who see maths as an essential tool for understanding and interpreting the world around them.

Our intent is for all KS3 pupils to:

  • Secure fluency in core mathematical concepts through regular practice and varied application, enabling them to recall and use knowledge accurately and efficiently.
  • Develop mathematical reasoning by exploring patterns, making conjectures and using precise language to explain and justify their thinking.
  • Apply their skills to problem-solving in a range of contexts, encouraging resilience, creativity and the ability to break down complex problems into manageable steps.

 

The KS3 curriculum is carefully sequenced to progressively deepen understanding, close knowledge gaps, and build connections across different areas of mathematics. It provides opportunities for all learners to experience success, regardless of their starting point, through appropriately challenging and engaging activities.

We are committed to promoting a positive attitude towards mathematics by:

  • Demonstrating its relevance in everyday life and future careers.
  • Providing enrichment opportunities and encouraging mathematical curiosity.
  • Supporting pupils to develop the confidence to tackle unfamiliar problems with perseverance.

 

By the end of Key Stage 3, our pupils will have the secure knowledge, skills and self-belief needed to approach GCSE Mathematics with confidence, ambition and a genuine appreciation for the subject. For more information or to discuss your child’s progress in Maths, please contact the school office.

 

 

 
 

 

Term 1

Positive Integers

Knowledge and Skills:

Pupils will learn to:

  • Recognise the place value of an integer
  • Round a number to the nearest 10, 100 and 1000.
  • Add, subtract, multiply and divide two positive integers.
  • Relate addition and subtraction.
  • Relate multiplication and division.
  • Understand the meaning of square, cube, square root and cube root.
  • Apply the order of operations in calculations
  • Identify multiples and factors of a number.

 

Useful Links

MyMaths
Dr Frost Maths

Place Value, Integers, Ordering and Rounding | STEM

Place Value, Maths Games for 7-11 Years – Topmarks

mathsframe.co.uk/en/resources/category/5/partitioning-and-place-value

Negative Integers

Knowledge and Skills:

Pupils will learn to:

  • Recognise the use of negative numbers in the real world.
  • Represent numbers on a number line.
  • Identify integers and perform the four operations on them.

 

Useful Links

MyMaths
Dr Frost Maths

Positive and negative numbers – KS3 Maths – BBC Bitesize

Introduction to Algebra

Knowledge and Skills:

Pupils will learn to:

  • Use letters to represent numbers.
  • Interpret simple algebraic notations.
  • Substitute integers into simple expressions and formulae.
  • Write simple expressions and formulae.
  • Simplify expressions by collecting like terms.
  • Add and subtract linear expressions.

 

Useful Links

MyMaths
Dr Frost Maths

Algebra – GCSE Maths – BBC Bitesize

Simple Equations

Knowledge and Skills:

Pupils will learn to:

  • Understand the concept of equations and balancing.
  • Solve simple equations in one variable.
  • Write simple equations in one variable to solve problems.

 

Useful Links

MyMaths
Dr Frost Maths

Algebra – GCSE Maths – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 2

Fractions

Knowledge and Skills:

Pupils will learn to:

  • Use fraction notation and express one quantity as a fraction of another.
  • Convert between improper fractions and mixed numbers.
  • Identify equivalent fractions, simplify fractions and compare fractions.
  • Find the reciprocal of a number.
  • Perform the four operations on fractions and on mixed numbers.
  • Calculate fractions of quantities.
  • Apply fractions in practical situations.
  • Identify fractions as rational numbers.

 

Useful Links

MyMaths
Dr Frost Maths

Fractions – KS3 Maths – BBC Bitesize

Comparing and Ordering Fractions | Math Fun Worksheets

Decimals

Knowledge and Skills:

Pupils will learn to:

  • Interpret decimals and write decimals in order of size
  • Round decimals to the nearest integer
  • Use the four operations with decimals
  • Convert between units of measure
  • Convert between decimals and fractions
  • Identify recurring decimals and real numbers

 

Useful Links

MyMaths
Dr Frost Maths

Decimals – KS3 Maths – BBC Bitesize

Arithmetic procedures with integers and decimals KS3 | Y7 Maths Lesson Resources | Oak National Academy

Percentages

Knowledge and Skills:

Pupils will learn to:

  • Define percentage as ‘number of parts per hundred’
  • Interpret a percentage as a fraction or a decimal
  • Convert a fraction or a decimal to a percentage
  • Compare two quantities using percentages
  • Express one quantity as a percentage of another
  • Find a percentage of a quantity using multiplication
  • Reduce or increase a quantity by a percentage

 

Useful Links

MyMaths
Dr Frost Maths

Understanding multiplicative relationships: percentages and proportionality KS3 | Y8 Maths Lesson Resources | Oak National Academy

Percentages – KS3 Maths – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 3

Angles, Parallel Lines and Triangles

Knowledge and Skills:

Pupils will learn to:

  • Identify different types of angles
  • Recognise the properties of vertically opposite angles, angles on a straight line and angles at a point
  • Recognise the properties of angles formed by parallel lines and transversals
  • Find unknown marked angles in a diagram using the above properties
  • Classify triangles based on their sides and angles
  • Understand the general properties of sides and angles of a triangle

 

Useful Links

MyMaths
Dr Frost Maths

Angles – KS3 Maths – BBC Bitesize

Intersecting and parallel lines – KS3 Maths – BBC Bitesize

Angles in triangles and quadrilaterals – KS3 Maths – BBC Bitesize

Transformations, Symmetry and Congruence

Knowledge and Skills:

Pupils will learn to:

  • Translate 2D shapes
  • Reflect 2D shapes
  • Rotate 2D shapes
  • Recognise and describe reflection symmetry of 2D shapes
  • Recognise and describe rotation symmetry of 2D shapes
  • Understand the idea of congruence
  • Match the sides and angles of two congruent shapes

 

Useful Links

MyMaths
Dr Frost Maths

Symmetry and transformations – KS3 Maths – BBC Bitesize

Symmetry – KS3 Maths – BBC Bitesize

Transformations KS3 | Y7 Maths Lesson Resources | Oak National Academy

Perimeter and Area of Triangles and Circles

Knowledge and Skills:

Pupils will learn to:

  • Find the perimeter and area of a triangle
  • Find the circumference of a circle
  • Find the perimeter of a semicircle and a quarter
  • Find the area of a circle
  • Find the area of a semicircle and a quarter
  • Find a length given the perimeter or area of a shape
  • Solve problems involving perimeters and areas of composite plane figures formed by rectangles, squares, triangles and circles

 

Useful Links

MyMaths
Dr Frost Maths

Perimeter, Area, Volume – KS3 Maths – BBC Bitesize

Area of triangles – KS3 Maths – BBC Bitesize

Perimeter, area and volume KS3 | Y8 Maths Lesson Resources | Oak National Academy

Volume and Surface Area of Cuboids, including Cubes

Knowledge and Skills:

Pupils will learn to:

  • Draw nets of cuboids, including cubes
  • Calculate the surface area of cuboids, including cubes
  • Calculate the volume of cuboids, including cubes
  • Solve problems involving volume and surface area of cuboids, including cubes

 

Useful Links

MyMaths
Dr Frost Maths

Volume of cubes and cuboids – KS3 Maths – BBC Bitesize

Surface area of cubes and cuboids – KS3 Maths – BBC Bitesize

Perimeter, Area, Volume – KS3 Maths – BBC Bitesize

Collecting, Organising and Displaying Data

Knowledge and Skills:

Pupils will learn to:

  • Recognise different methods of collecting data
  • Organise data
  • Create frequency tables
  • Construct, analyse and interpret pictograms, vertical line charts, bar charts and compound bar charts

 

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 
 

 

Term 1

Factors and Multiples

Knowledge and Skills:

Pupils will learn to:

  • recognise prime numbers
  • express a composite number as a product of its prime factors
  • represent the prime factorisation of a number in index notation
  • find the highest common factor (HCF) of a group of numbers by using prime factorisation
  • find the lowest common multiple (LCM) of a group of numbers by using prime factorisation
  • understand the use of prime factorisation to find the square root and cube root of a number

 

Useful Links

MyMaths
Dr Frost Maths

Prime numbers, factors and multiples – KS3 Maths – BBC Bitesize

Understanding factors, factor pairs and multiples in Maths – BBC Bitesize

Properties of number: factors, multiples, squares and cubes KS3 | Y7 Maths Lesson Resources | Oak National Academy

Approximation and Estimation

Knowledge and Skills:

Pupils will learn to:

  • round numbers to a required number of decimal places
  • round numbers to a required number of significant figures
  • estimate quantities (numbers and measures) to an appropriate degree of accuracy
  • estimate the results of computation
  • be aware of rounding errors in the intermediate steps of calculations

 

Useful Links

MyMaths
Dr Frost Maths

Rounding and estimating – KS3 Maths – BBC Bitesize

How to use estimation to check your answers – BBC Bitesize

Estimation and rounding KS3 | Y8 Maths Lesson Resources | Oak National Academy

Ratio, Rate and Speed

Knowledge and Skills:

Pupils will learn to:

  • use ratio notation
  • compare quantities by ratio
  • describe the relationship between ratio and fraction
  • divide a quantity in a given ratio
  • solve problems involving ratio
  • understand and use the scale of a map or plan
  • solve problems involving rate in daily life
  • recognise the relationships between distance, time and speed
  • write speed in different units and convert it from one unit to another
  • recognise the concepts of constant speed and average speed
  • solve problems involving speed

 

Useful Links

MyMaths
Dr Frost Maths

Working with proportion – BBC Bitesize

More Percentages

Knowledge and Skills:

Pupils will learn to:

  • express a percentage as a fraction or a decimal
  • express one quantity as a percentage of another
  • compare two quantities by percentage
  • recognise percentages greater than 100%
  • calculate simple interest
  • solve problems involving reverse percentage
  • calculate percentage increase and decrease in quantities

 

Useful Links

MyMaths
Dr Frost Maths

Percentages – KS3 Maths – BBC Bitesize

Percentages of an amount – BBC Bitesize

Understanding multiplicative relationships: percentages and proportionality KS3 | Y8 Maths Lesson Resources | Oak National Academy

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 2

Algebraic Expressions, Formulae and Proof

Knowledge and Skills:

Pupils will learn to:

  • use letters to represent numbers or variables
  • interpret algebraic notations
  • evaluate algebraic expressions and formulae
  • express real-world situations in algebraic terms
  • simplify linear expressions
  • prove a statement algebraically

 

Useful Links

MyMaths
Dr Frost Maths

Algebra – GCSE Maths – BBC Bitesize

Equations and Inequalities in One Variable

Knowledge and Skills:

Pupils will learn to:

  • understand the concepts of equations and the solution of an equation
  • solve linear equations in one variable
  • solve linear equations in one variable involving brackets
  • formulate linear equations in one variable to solve problems
  • understand the concepts and properties of linear inequalities

 

Useful Links

MyMaths
Dr Frost Maths

Solving equations and inequations – Working with linear equations and inequations – National 5 Maths Revision – BBC Bitesize

Coordinates and Linear Functions

Knowledge and Skills:

Pupils will learn to:

  • construct the Cartesian coordinate system in two dimensions and state the coordinates of points on it
  • recognise the idea of functions
  • plot a graph of a set of ordered pairs as a representation of a relationship between two variables
  • recognise linear functions in the form of y = mx + c and draw their graphs
  • find the gradient of a linear graph

 

Useful Links

MyMaths
Dr Frost Maths

Straight line graphs – BBC Bitesize

Plotting coordinates KS3 | Y7 Maths Lesson Resources | Oak National Academy

Number Patterns

Knowledge and Skills:

Pupils will learn to:

  • recognise number patterns and sequences
  • find terms of a sequence using a term-to-term rule
  • recognise arithmetic and geometric sequences
  • find terms of a sequence using a position-to-term rule
  • find the formula for the general (nth) term of an arithmetic sequence
  • solve problems involving number patterns and sequences

 

Useful Links

MyMaths
Dr Frost Maths

What are geometric sequences? – BBC Bitesize

Sequences KS3 | Y8 Maths Lesson Resources | Oak National Academy

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 3

Angles in Quadrilaterals and Polygons

Knowledge and Skills:

Pupils will learn to:

  • classify special quadrilaterals on the basis of their properties
  • recognise the properties of special quadrilaterals
  • recognise the properties of polygons, including symmetry properties

 

Useful Links

MyMaths
Dr Frost Maths

Angles – KS3 Maths – BBC Bitesize

How to identify different polygons – BBC Bitesize

Lesson: Angles in quadrilaterals | Oak National Academy

Perimeter and Area of Parallelograms and Trapezia

Knowledge and Skills:

Pupils will learn to:

  • calculate the area of a parallelogram
  • calculate the area of a trapezium
  • solve problems involving perimeters and areas of composite plane figures

 

Useful Links

MyMaths
Dr Frost Maths

Perimeter, Area, Volume – KS3 Maths – BBC Bitesize

Area of a trapezium KS3 | Y7 Maths Lesson Resources | Oak National Academy

Perimeter, area and volume KS3 | Y8 Maths Lesson Resources | Oak National Academy

Volume and Surface Area of Prisms and Cylinders

Knowledge and Skills:

Pupils will learn to:

  • visualise and draw sketches of three dimensional shapes from different views
  • visualise and draw the nets of prisms and cylinders
  • calculate the volume and surface area of prisms
  • calculate the volume and surface area of cylinders
  • convert between cm2 and m2, and between cm3 and m3
  • solve problems involving volume and surface area of composite solids

 

Useful Links

MyMaths
Dr Frost Maths

What are the properties of 3D shapes? – BBC Bitesize

Statistical Graphs

Knowledge and Skills:

Pupils will learn to:

  • construct, analyse and interpret line graphs
  • construct, analyse and interpret pie charts
  • describe the purposes and appropriateness of use of the different forms of statistical representation, including pictograms and bar charts
  • explain why a given statistical diagram can lead to misinterpretation of data
  • construct, analyse and interpret scatter graphs
  • describe types of correlation for a scatter graph
  • draw a line of best fit on a scatter graph and use it to estimate data values
  • find the equation of a given line of best fit
  • identify and explain outliers

 

Useful Links

MyMaths
Dr Frost Maths

Pie charts – KS3 Maths – BBC Bitesize

Pie charts – Presenting data – graphs, charts and diagrams – 3rd level Maths Revision – BBC Bitesize

Graphical representations of data KS3 | Y8 Maths Lesson Resources | Oak National Academy

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

Foundation Maths

Term 1

Unit 1 – basic number

Knowledge and Skills:

Pupils will learn to:

  • how to compare and order positive and negative numbers
  • how to use the order of operations when calculating
  • how to add, subtract, multiply and divide positive and negative integers and positive decimals without a calculator.

 

Useful Links

https://www.thenational.academy/teachers/programmes/maths-secondary-ks4-foundation-l/units/4-rules-of-number-0da4/lessons/four-operations-cthkjc

https://www.bbc.co.uk/bitesize/guides/z3kmpbk/revision/5

Unit 2 – Geometry and measures: Measures and scale drawing

Knowledge and Skills:

Pupils will learn to:

  • how to convert from one metric unit to another
  • how to convert from one imperial unit to another
  • how to convert from imperial units to metric units
  • how to read and draw scale drawings
  • how to read map scales
  • how to draw nets of 3D shapes and identify 3D shapes from their nets
  • how to draw plans and elevations

 

Useful Links

2D and 3D shape: compound shapes KS4 | Y10 Maths Lesson Resources | Oak National Academy

Checking and securing understanding of nets of solids Foundation KS4 | Y11 Maths Lesson Resources | Oak National Academy

Geometry and measure – GCSE Maths – BBC Bitesize

Unit 3 – Statistics: Charts, tables and averages

Knowledge and Skills:

Pupils will learn to:

  • how to use tally charts and frequency tables to collect and organise data
  • how to represent data on various types of diagram
  • how to draw a line graph to show trends in data
  • how to work out the mode, median, mean and range of small sets of data
  • how to decide which is the best average to use
  • how to use an average and the range to compare sets of data

 

Useful Links

Checking understanding of summary statistics from a list Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Mean – Analysing data – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Unit 4 – Geometry and measures: Angles

Knowledge and Skills:

Pupils will learn to:

  • how to calculate angles on a line and around a point
  • how to calculate angles in a triangle and in any polygon
  • how to calculate angles in parallel lines
  • how to calculate interior and exterior angles in polygons
  • how to use bearings

 

Useful Links

Problem solving with angles Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Types of angle – Angles, lines and polygons – AQA – GCSE Maths Revision – AQA – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 2

Unit 5 – Number properties

Knowledge and Skills:

Pupils will learn to:

  • how to find multiples and factors
  • what prime numbers are
  • how to break a number down into its prime factors
  • how to work out the lowest common multiple of two numbers
  • how to work out the highest common factor of two numbers
  • how to work out squares and square roots
  • how to use a calculator for basic calculations

 

Useful Links

https://www.bbc.co.uk/bitesize/guides/z9hb97h/revision/5

Unit 6 – Number: Approximation

Knowledge and Skills:

Pupils will learn to:

  • how to round a number to a given accuracy
  • how to estimate the answer to calculations by rounding
  • how to find the limits of numbers rounded to a given accuracy
  • how to work out the error interval due to rounding or truncation

 

Useful Links

Rounding, estimation and bounds KS4 | Y10 Maths Lesson Resources | Oak National Academy

Checking and securing understanding of rounding and truncating Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Unit 7 – Number: Decimals and fractions

Knowledge and Skills:

Pupils will learn to:

  • how to multiply and divide decimals
  • how to convert between rational numbers, fractions and decimals
  • how to find reciprocals of numbers and fractions
  • how to work out one quantity as a fraction of another
  • how to add, subtract, multiply and divide fractions, with and without a calculator

 

Useful Links

Checking and securing understanding of calculating with fractions and decimals Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Fraction arithmetic – Fractions – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Unit 8 – Algebra: Linear graphs

Knowledge and Skills:

Pupils will learn to:

  • how to plot negative coordinates
  • how to work out the gradient of a line
  • how to draw a straight-line graph from its equation
  • how to work out the equation of a linear graph
  • how to draw linear graphs parallel to other lines
  • how to read information from a conversion graph
  • how to use graphs to work out formulae and solve simultaneous linear equations

 

Useful Links

Linear graphs KS4 | Y10 Maths Lesson Resources | Oak National Academy

Problem solving with linear graphs Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

How to find the gradient of a straight line in maths – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 3

Unit 9 – Algebra: Expressions and formulae

Knowledge and Skills:

Pupils will learn to:

  • how to use letters to represent numbers
  • how to form simple algebraic expressions
  • how to simplify expressions by collecting like terms
  • how to substitute numbers into expressions and formulae
  • how to expand and factorise expressions
  • how to expand two pairs of brackets
  • how to factorise quadratic expressions
  • how to rearrange formulae

 

Useful Links

Factorising a quadratic expression Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Expressions – Algebraic expressions – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Unit 10 – Ratio, proportion and rates of change: Ratio, speed and proportion

Knowledge and Skills:

Pupils will learn to:

  • what a ratio is
  • how to divide an amount in a given ratio
  • how to calculate speed
  • how to solve problems involving direct proportion
  • how to compare prices of products

 

Useful Links

Ratio KS4 | Y10 Maths Lesson Resources | Oak National Academy

Equivalent ratios and simplifying ratios – BBC Bitesize

Working with proportion – BBC Bitesize

Unit 11 – Geometry and measure

Knowledge and Skills:

Pupils will learn to:

  • how to work out the perimeters and areas of rectangles, triangles, parallelograms, trapeziums and compound shapes
  • how to calculate the circumference and area of a circle and give your answers in terms of Ï€

 

Useful Links

Lesson: Circumference of a circle | Oak National Academy

Shape, space and measures – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Higher Maths

Term 1

Unit 1 – basic number

Knowledge and Skills:

Pupils will learn to:

  • how to calculate with integers and decimals
  • how to round numbers to a given number of significant figures
  • how to work out and recognise multiples, factors, prime numbers and squares, cubes and their roots
  • how to find the prime factors of a number
  • how to work out lowest common multiples (LCM)
  • how to work out highest common factors (HCF)
  • how to calculate with negative numbers

 

Useful Links

Highest common factor and lowest common multiple – Multiples and factors – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Lesson: HCF or LCM | Oak National Academy

Unit 2 – Fractions, ratio and proportion

Knowledge and Skills:

Pupils will learn to:

  • how to work out one quantity as a fraction of another
  • how to add, subtract, multiply and divide fractions with and without a calculator
  • how to use a percentage multiplier
  • how to work out percentage increase and decrease
  • how to work out one quantity as a percentage of another.

 

Useful Links

Percentages KS4 | Y10 Maths Lesson Resources | Oak National Academy

Percentages of an amount – BBC Bitesize

Unit 3 – Statistical diagrams and averages

Knowledge and Skills:

Pupils will learn to:

  • how to draw and interpret pie charts
  • how to draw and interpret line graphs
  • how to solve problems that use averages
  • how to calculate averages from frequency tables
  • how to draw scatter diagrams and lines of best fit

 

Unit 4 – Number and sequences

Knowledge and Skills:

Pupils will learn to:

  • how to recognise rules for sequences
  • how to express a rule for a sequence, in words and algebraically
  • how to generate the terms of a linear and quadratic sequence, given a formula for the nth term
  • how to find the nth term of a linear and quadratic sequence
  • some common sequences of numbers

 

Useful Links

Higher Maths questions – Modelling situations using sequences – Higher Maths revision – BBC Bitesize

Quadratic sequences Higher KS4 | Y11 Maths Lesson Resources | Oak National Academy

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 2

Unit 5 – Ratio and proportion

Knowledge and Skills:

Pupils will learn to:

  • how to divide an amount according to a given ratio
  • how to solve problems involving direct proportion
  • how to compare prices of products
  • how to calculate compound measures (rates of pay, speed, density, pressure)
  • how to calculate compound interest and repeated percentage change
  • how to calculate a reverse percentage

 

Useful Links

Working with proportion – BBC Bitesize

Direct and inverse proportion KS4 | Y11 Maths Lesson Resources | Oak National Academy

Repeated percentage change, interest and exponential change – BBC Bitesize

Simple and compound interest Higher KS4 | Y10 Maths Lesson Resources | Oak National Academy

Unit 6 – Angles

Knowledge and Skills:

Pupils will learn to:

  • how to find angles on a line and around a point
  • how to find angles in a triangle and in any polygon
  • how to calculate angles in parallel lines
  • how to calculate interior and exterior angles in polygons
  • how to read scale maps and drawings
  • how to use bearings

 

Useful Links

Triangles – Angles, lines and polygons – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Angles KS4 | Y10 Maths Lesson Resources | Oak National Academy

Unit 7 – Transformations, constructions and loci

Knowledge and Skills:

Pupils will learn to:

  • how to show that two triangles are congruent
  • how to find the order of rotational symmetry of a 2D shape
  • what is meant by a transformation
  • how to translate, reflect, rotate and enlarge 2D shapes
  • how to bisect a line and an angle
  • how to construct perpendiculars
  • how to define a locus
  • how to solve locus problems
  • how to construct and interpret plans and elevations of 3D shapes

 

Useful Links

Advanced problem solving with loci and constructions Higher KS4 | Y11 Maths Lesson Resources | Oak National Academy

Loci – Loci and constructions – AQA – GCSE Maths Revision – AQA – BBC Bitesize

Unit 8 – Algebraic manipulation

Knowledge and Skills:

Pupils will learn to:

  • how to substitute numbers into expressions and formulae
  • how to simplify expressions by collecting like terms
  • how to expand and factorise expressions
  • how to expand two or more binomials
  • how to factorise quadratic expressions
  • how to rearrange formulae

 

Useful Links

Factorising a quadratic expression Higher KS4 | Y10 Maths Lesson Resources | Oak National Academy

Checking and securing understanding of the product of two binomials Higher KS4 | Y10 Maths Lesson Resources | Oak National Academy

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 3

Unit 9 – Length, area and volume

Knowledge and Skills:

Pupils will learn to:

  • how to calculate the circumference and area of a circle
  • how to calculate the area of a parallelogram and a trapezium
  • how to calculate the length of an arc
  • how to calculate the area and angle of a sector
  • how to calculate the volume of a prism and a pyramid
  • how to calculate the volume and surface area of a cylinder, a cone and a sphere

 

Useful Links

Parts of a circle – Sector, segment and arc – Higher only – WJEC – GCSE Maths Revision – WJEC – BBC Bitesize

Sector area – Circles, sectors and arcs – AQA – GCSE Maths Revision – AQA – BBC Bitesize

https://thenational.academy/pupils/lessons/calculating-arc-length?share=true

2D and 3D shape: surface area and volume (pyramids, spheres and cones) KS4 | Y11 Maths Lesson Resources | Oak National Academy

Unit 10 – Linear Graphs

Knowledge and Skills:

Pupils will learn to:

  • how to draw a straight-line graph from its equation
  • how to find the equation of a linear graph
  • how to read information from a conversion graph
  • how to use graphs to find formulae and solve simultaneous linear equations
  • how to draw linear graphs parallel or perpendicular to other lines

 

Useful Links

Gradients – Intermediate and Higher tier – Equations of lines – WJEC – GCSE Maths Revision – WJEC – BBC Bitesize

Linear graphs KS4 | Y10 Maths Lesson Resources | Oak National Academy

Unit 11 – Right-Angled Triangles

Knowledge and Skills:

Pupils will learn to:

  • how to use Pythagoras’ theorem in right-angled triangles
  • how to use Pythagoras’ theorem to solve problems
  • how to use Pythagoras’ theorem in three dimensions
  • how to use trigonometric ratios in right-angled triangles
  • how to use trigonometry to solve problems

 

Useful Links

Calculating the hypotenuse – Pythagoras’ theorem – Intermediate & Higher tier – WJEC – GCSE Maths Numeracy (WJEC) Revision – BBC Bitesize

Pythagoras’ theorem – BBC Bitesize

Right-angled trigonometry KS4 | Y10 Maths Lesson Resources | Oak National Academy

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

Key Stage 4

At Thomas Mills High School & Sixth Form, our Key Stage 4 Mathematics curriculum is designed to equip pupils with the knowledge, skills, and confidence required to succeed in their GCSE examinations and beyond. We aim to develop mathematically fluent, logical, and independent learners who can apply their understanding to solve problems in both familiar and unfamiliar contexts.

Our intent is for all KS4 pupils to:

  • Master key mathematical concepts and techniques with accuracy and efficiency, ensuring strong fluency across all areas of the GCSE syllabus.
  • Develop sophisticated mathematical reasoning by constructing clear, logical arguments and critically evaluating mathematical information.
  • Apply their mathematics confidently to solve complex problems, demonstrating creativity, perseverance, and the ability to interpret and model real-world situations.

 

The KS4 curriculum is structured to build on prior knowledge from KS3, consolidating and extending skills with increasing challenge. It provides a balanced approach between procedural fluency, conceptual understanding and problem solving, ensuring pupils are well-prepared for both foundation and higher-tier GCSE examinations.

We strive to foster a positive and resilient mindset by:

  • Emphasising the relevance of mathematics in everyday life, higher education, and careers.
  • Encouraging independent learning, self-reflection, and continuous improvement.
  • Providing targeted support and stretch opportunities to meet the needs of all learners.

 

By the end of Key Stage 4, pupils will be confident, competent mathematicians ready to progress to further study or employment, equipped with the mathematical skills essential for success in the modern world.

 

 

 
 

 

Foundation Maths

Term 1

Unit 12 – Geometry and measures: Transformations

Knowledge and Skills:

Pupils will learn to:

  • how to work out the order of rotational symmetry for a 2D shape
  • how to translate, reflect, rotate and enlarge 2D shapes
  • what is meant by a transformation
  • how to add and subtract vectors

 

Useful Links

Multiple transformations Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

What are translation, rotation and reflection? – BBC Bitesize

Unit 13 – Probability: Probability and events

Knowledge and Skills:

Pupils will learn to:

  • how to use the probability scale and the language of probability
  • how to work out the probability of an outcome of an event happening
  • how to work out the probability of an outcome of an event not happening
  • how to recognise mutually exclusive and exhaustive outcomes
  • how to work out experimental probabilities and relative frequencies from experiments
  • how to predict the likely number of successful outcomes, given the number of trials and the probability of any one outcome
  • how to use systematic strategies to list and count outcomes

 

Useful Links

Conditional probability KS4 | Y11 Maths Lesson Resources | Oak National Academy

Probabilities involving algebra Foundation KS4 | Y11 Maths Lesson Resources | Oak National Academy

Probability test questions – National 4 Maths – BBC Bitesize

Unit 14 – Geometry and measures: Volumes and surface areas of prisms

Knowledge and Skills:

Pupils will learn to:

  • how to calculate the volume of a composite shape made from cuboids
  • how to calculate the volume and surface area of a prism
  • how to calculate the volume and surface area of a cylinder

 

Useful Links

Volume and surface area – 3-dimensional shapes – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 2

Unit 15 – Algebra: Linear equations

Knowledge and Skills:

Pupils will learn to:

  • how to solve linear equations with the variable on one side
  • how to solve linear equations involving brackets
  • how to solve linear equations with fractions
  • how to solve linear equations with the variable on both sides
  • how to set up linear equations from real-life problems

 

Useful Links

Problem solving with linear graphs Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Solving equations and inequations – Working with linear equations and inequations – National 5 Maths Revision – BBC Bitesize

Unit 16 – Ratio and proportion and rates of change: Percentages and compound measure

Knowledge and Skills:

Pupils will learn to:

  • how to convert between fractions, decimals and percentages
  • how to use a percentage multiplier
  • how to work out percentage increase and decrease
  • how to work out one quantity as a percentage of another
  • how to calculate compound measures (rates of pay, density, pressure

 

Useful Links

How to increase an amount by a percentage – BBC Bitesize

Unit 17 – Ratio and proportion and rates of change: Percentages and variation

Knowledge and Skills:

Pupils will learn to:

  • how to calculate compound interest and repeated percentage change
  • how to calculate a reverse percentage
  • how to solve problems where two variables are in direct proportion
  • how to solve problems where two variables are in inverse proportion
  • how to recognise graphs that show direct and inverse proportion
  • how to work out problems about growth and decay
  • how to work out problems about original values

 

Useful Links

Compound interest calculations Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Compound measures KS4 | Y11 Maths Lesson Resources | Oak National Academy

Working with proportion – BBC Bitesize

Unit 18 – Statistics: Representation and interpretation

Knowledge and Skills:

Pupils will learn to:

  • how to test a hypothesis
  • how to collect data to obtain an unbiased sample
  • how to draw and interpret pie charts
  • how to identify the modal group and estimate the mean from grouped data
  • how to interpret scatter diagrams and the different types of correlation
  • how to draw scatter diagrams and lines of best fit

 

Useful Links

Scatter diagrams – KS3 Maths – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 3

Unit 19 – Geometry and measure: Construction and loci

Knowledge and Skills:

Pupils will learn to:

  • how to construct a triangle from given data
  • how to bisect a line and an angle
  • how to construct angles of 60° and 90°
  • how to define a locus
  • how to solve locus problems

 

Useful Links

Constructing loci Foundation KS4 | Y11 Maths Lesson Resources | Oak National Academy

Loci and construction KS4 | Y11 Maths Lesson Resources | Oak National Academy

Unit 20 – Geometry and measure: Curved shapes and pyramids

Knowledge and Skills:

Pupils will learn to:

  • how to calculate the length of an arc
  • how to calculate the area and angle of a sector
  • how to calculate the volume and surface area of a pyramid
  • how to calculate the volume and surface area of a cone and a sphere

 

Unit 21 – Algebra: Number and sequences

Knowledge and Skills:

Pupils will learn to:

  • how to recognise rules for sequences
  • how to express a rule for a sequence, in words and algebraically
  • how to generate the terms of a linear sequence, given a formula for the nth term
  • how to find the nth term of a linear sequence

 

Useful Links

Linear sequences – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Higher Maths

Term 1

Unit 12 – Similarity

Knowledge and Skills:

Pupils will learn to:

  • how to work out the scale factor for two similar shapes
  • how to work out lengths of sides in similar shapes
  • how to work out areas and volumes of similar shapes.

 

Useful Links

Similar shapes – Enlargements/Similar shapes – Intermediate & Higher tier – WJEC – GCSE Maths Numeracy (WJEC) Revision – BBC Bitesize

Scale factors of similar shapes – Higher – Transformations – Eduqas – GCSE Maths Revision – Eduqas – BBC Bitesize

Unit 13 – Exploring and applying probability

Knowledge and Skills:

Pupils will learn to:

  • how to work out the probabilities of outcomes of events, using theoretical or experimental models
  • how to recognise mutually exclusive, exhaustive and complementary outcomes
  • how to predict the likely number of successful outcomes, given the number of trials and the probability of any one outcome
  • how to use two-way tables to solve probability problems
  • how to use Venn diagrams to solve probability problems.

 

Useful Links

The AND rule – Further probability – Intermediate & Higher tier – WJEC – GCSE Maths Revision – WJEC – BBC Bitesize

Conditional probability – Higher – Probability – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Unit 14 – Powers and standard form

Knowledge and Skills:

Pupils will learn to:

  • how to calculate using powers (indices)
  • how to write numbers in standard form
  • how to calculate with standard form.

 

Useful Links

Powers and roots – Higher – Multiples, factors, powers and roots – OCR – GCSE Maths Revision – OCR – BBC Bitesize

Standard form – Standard form – AQA – GCSE Maths Revision – AQA – BBC Bitesize

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 2

Unit 15 – Equations and inequalities

Knowledge and Skills:

Pupils will learn to:

  • how to set up and solve linear equations with fractions, brackets and variables on both sides
  • how to solve linear simultaneous equations
  • how to solve a linear inequality and represent the solution on a number line
  • how to find a region on a graph that obeys a linear inequality in two variables
  • how to use trial and improvement to solve non-linear equations.

 

Useful Links

Simultaneous equations – Solving simultaneous equations – AQA – GCSE Maths Revision – AQA – BBC Bitesize

Graphs of inequalities – Higher tier GCSE Maths Revision – BBC Bitesize

Trial and improvement – BBC Bitesize

Unit 16 – Counting, accuracy, powers and surds

Knowledge and Skills:

Pupils will learn to:

  • how to work out a reciprocal
  • how to convert fractions to terminating or recurring decimals and vice versa
  • how to estimate powers and roots of positive numbers
  • how to work with negative and fractional powers
  • how to calculate with surds
  • how to work out the error interval for rounded numbers
  • how to use limits of accuracy in calculations
  • how to use the product rule for counting.

 

Useful Links

Fractional indices – Higher – Laws of indices – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Surds – Higher – Surds – Higher – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

GCSE maths questions – SURDS GCSE maths revision – BBC Bitesize

Unit 17 – Quadratic equations

Knowledge and Skills:

Pupils will learn to:

  • how to draw quadratic graphs
  • how to solve quadratic equations by factorisation, the quadratic formula and completing the square
  • how to solve problems involving quadratic equations
  • how to recognise and find the significant points of a quadratic graph
  • how to use graphs to solve a pair of simultaneous equations, one linear and one non-linear
  • how to use the method of intersection to solve one quadratic equation, using the graph of another quadratic equation and an appropriate straight line
  • how to solve quadratic inequalities.

 

Useful Links

Solving equations using iteration – Higher tier – Solving quadratic equations – AQA – GCSE Maths Revision – AQA – BBC Bitesize

Module 4 (M4) – Algebra – Quadradic equations – BBC Bitesize

Unit 18 – Sampling and more complex diagrams

Knowledge and Skills:

Pupils will learn to:

  • how to collect data to obtain an unbiased sample
  • how to draw and interpret frequency polygons
  • how to draw and interpret cumulative frequency graphs
  • how to draw and interpret box plots
  • how to draw and interpret histograms.

 

Useful Links

Cumulative frequency diagrams – Higher tier – Representing data – OCR – GCSE Maths Revision – OCR – BBC Bitesize

https://thenational.academy/pupils/lessons/constructing-a-cumulative-frequency-graph?share=true

Histograms – Higher tier – Representing data – OCR – GCSE Maths Revision – OCR – BBC Bitesize

https://thenational.academy/pupils/lessons/histograms-with-unequal-bar-width?share=true

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 3

Unit 19 – Combined events

Knowledge and Skills:

Pupils will learn to:

  • how to work out the probability of two events
  • how to draw and use tree diagrams
  • how to use probability for independent events
  • how to use conditional probability.

 

Useful Links

Tree diagrams – Probability – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

The AND rule – Further probability – Intermediate & Higher tier – WJEC – GCSE Maths Revision – WJEC – BBC Bitesize

https://thenational.academy/pupils/lessons/algebra-in-tree-and-venn-diagrams?share=true

https://thenational.academy/pupils/lessons/conditional-probability-in-a-tree-diagram?share=true

Unit 20 – Properties of circles

Knowledge and Skills:

Pupils will learn to:

  • how to prove and use circle theorems to work out angles
  • how to work out angles in cyclic quadrilaterals
  • how to use tangents, chords and alternate segment theorem to work out angles in circles.

 

Useful Links

Circle theorems – Higher – Circle theorems – Higher – AQA – GCSE Maths Revision – AQA – BBC Bitesize

Chords – Higher – Circle theorems – Higher – AQA – GCSE Maths Revision – AQA – BBC Bitesize

https://thenational.academy/pupils/lessons/problem-solving-with-circle-theorems?share=true

Unit 21 – Variation

Knowledge and Skills:

Pupils will learn to:

  • how to solve problems where two variables are connected by a relationship in which they vary in direct proportion
  • how to solve problems where two variables are connected by a relationship in which they vary in indirect proportion
  • how to recognise graphs that illustrate direct and inverse proportion.

 

Useful Links

Direct proportion – Intermediate and Higher tier – Ratio – WJEC – GCSE Maths Numeracy (WJEC) Revision – BBC Bitesize

Direct and inverse proportion – Direct and inverse proportion – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

https://thenational.academy/pupils/lessons/problem-solving-with-direct-and-inverse-proportion?share=true

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 
 

 

Foundation Maths

Term 1

Unit 22 – Geometry and measure: Right-angled triangles

Knowledge and Skills:

Pupils will learn to:

  • how to use Pythagoras’ theorem in right-angled triangles
  • how to solve problems using Pythagoras’ theorem
  • how to use trigonometric ratios in right-angled triangles
  • how to use trigonometry to solve problems

 

Useful Links

Right-angled trigonometry KS4 | Y10 Maths Lesson Resources | Oak National Academy

Checking and further securing understanding of Pythagoras’ theorem Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Theorem of Pythagoras (converse) – Applying Pythagoras Theorem – National 5 Maths Revision – BBC Bitesize

Unit 23 – Geometry and measure: Congruency and similarity

Knowledge and Skills:

Pupils will learn to:

  • how to show that two triangles are congruent
  • how to work out the scale factor for two similar shapes
  • how to work out lengths of sides in similar shapes

 

Useful Links

Checking and securing understanding of congruence and similarity Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Similarity KS4 | Y10 Maths Lesson Resources | Oak National Academy

Similar shapes – Transformations – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Unit 24 – Probability: Combined events

Knowledge and Skills:

Pupils will learn to:

  • how to work out the probabilities for two or more events
  • how to use two-way tables to solve probability problems
  • how to use Venn diagrams to solve probability problems
  • how to draw and use frequency tree diagrams
  • how to draw and use probability tree diagrams to solve probability problems

 

Useful Links

Conditional probability KS4 | Y11 Maths Lesson Resources | Oak National Academy

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 2

Unit 25 – Number: Powers and standard form

Knowledge and Skills:

Pupils will learn to:

  • how to calculate with powers (indices)
  • how to write numbers in standard form
  • how to calculate with standard form

 

Useful Links

Standard form calculations KS4 | Y10 Maths Lesson Resources | Oak National Academy

Standard form – Standard form – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

Unit 26 – Algebra: Simultaneous equations and linear inequalities

Knowledge and Skills:

Pupils will learn to:

  • how to solve linear simultaneous equations algebraically
  • how to solve a linear inequality and represent the solution on a number line

 

Useful Links

Forming simultaneous equations Foundation KS4 | Y10 Maths Lesson Resources | Oak National Academy

Simultaneous equations: 2 variables KS4 | Y10 Maths Lesson Resources | Oak National Academy

Unit 27 – Algebra: Non-linear graphs

Knowledge and Skills:

Pupils will learn to:

  • how to interpret a distance–time graph
  • how to draw and interpret graphs of the depths of a liquid as a container is filled
  • how to draw quadratic graphs
  • how to solve problems involving quadratic equations
  • how to solve quadratic equations by factorisation
  • how to solve quadratic equations graphically
  • how to recognise and find the significant points of a quadratic graph
  • how to recognise and draw cubic and reciprocal graphs

 

Useful Links

Non-linear graphs KS4 | Y10 Maths Lesson Resources | Oak National Academy

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 3

This term is dedicated to revision and consolidation activities for Year 11 pupils in preparation for the GCSE Maths examination.

 

 

Higher Maths

Term 1

Unit 22 – Triangles

Knowledge and Skills:

Pupils will learn to:

  • how to use trigonometric ratios to solve more complex 2D problems and 3D problems
  • how to calculate the sine, cosine and tangent of any angle from 0° to 360°
  • how to use the sine and cosine rules to solve problems involving non right-angled triangles
  • how to use the formula A=1/2 abSinC  to calculate the area of a triangle

 

Useful Links

Solve problems using sine and cosine rule- Higher – Trigonometry – Edexcel – GCSE Maths Revision – Edexcel – BBC Bitesize

https://thenational.academy/pupils/lessons/problem-solving-with-non-right-angled-trigonometry?share=true

The area of any triangle Higher KS4 | Y11 Maths Lesson Resources | Oak National Academy

Unit 23 – Graphs

Knowledge and Skills:

Pupils will learn to:

  • how to work out speed from a distance–time graph
  • how to interpret the gradients of straight lines on a velocity–time graph
  • how to calculate and interpret the area under a velocity–time graph consisting of straight lines
  • how to draw a graph of the depth of liquid as a container is filled
  • how to estimate and interpret the area under a curve
  • how to work out and interpret a gradient at a point on a curve
  • how to find the equation of a tangent to a circle
  • how to recognise and draw cubic, reciprocal and exponential graphs
  • how to transform a graph.

 

Useful Links

Tangents – Constructing and using tangents – Higher tier only – WJEC – GCSE Maths Numeracy (WJEC) Revision – BBC Bitesize

https://thenational.academy/pupils/lessons/estimating-the-gradient-of-a-curve?share=true

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 2

Unit 24 – Algebraic fractions and functions

Knowledge and Skills:

Pupils will learn to:

  • how to combine fractions algebraically and solve equations with algebraic fractions
  • how to rearrange and change the subject of a formula where the subject appears twice, or as a power
  • how to find the inverse function and the composite of two functions
  • how to find an approximate solution for an equation using the process of iteration

 

Useful Links

Add and subtract rational expressions – Higher – Algebraic fractions – OCR – GCSE Maths Revision – OCR – BBC Bitesize

Adding and subtracting algebraic fractions – Applying the four operations to algebraic fractions – National 5 Maths Revision – BBC Bitesize

https://thenational.academy/pupils/lessons/solving-equations-with-algebraic-fractions?share=true

Unit 25 – Vector geometry

Knowledge and Skills:

Pupils will learn to:

  • how to add and subtract vectors
  • the properties of vectors
  • how to use vectors to solve geometrical problems
  • how to prove geometric results.

 

Useful Links

https://www.bbc.co.uk/bitesize/guides/zqvbb9q/revision/1

https://thenational.academy/pupils/lessons/addition-with-vectors?share=true

Assessments:

At the end of each unit, pupils will complete a written assessment designed to evaluate their understanding of the key concepts, methods and problem-solving skills covered throughout the unit. These assessments provide an opportunity for pupils to demonstrate their mathematical thinking, fluency and application of knowledge in a range of contexts.

 

 

Term 3

This term is dedicated to revision and consolidation activities for Year 11 pupils in preparation for the GCSE Maths examination.

Are you interested in:

Solving complex problems, modelling real-life situations mathematically or understanding how statistics inform decisions?

Leading to a career in:

Engineering, finance, architecture, data analysis.

Head of Department/course leader:

Mr S Everett

A Level - Mathematics
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