menu

Maths – Key Stage 3 Curriculum Plan

Year 7

Overview / Introduction

At our school, the mathematics curriculum aims to equip all pupils with the knowledge, skills, and confidence to become fluent, curious, and resilient mathematicians. We believe that mathematics is a powerful and creative discipline that helps pupils understand and describe the world around them. Through high expectations and a well-structured, coherent curriculum, we ensure every child can achieve success.

Note – These topics will not be completed by every student this depends on which set they are in as to how far through these topics they go.

Half Term 1

Summary

Number structure

  • Place value
  • Ordering integers and decimals
  • Multiplying and dividing by powers of 10
  • Converting between metric units
  • Rounding integers and decimals

Number calculation

  • Add and subtract numbers including in a context
  • Multiply and divide integers
  • Multiply and divide decimals

Number Properties

  • Identify factors multiples and primes
  • Order negative numbers
  • Perform the four operations with negative numbers

Fundamental algebra

  • Use algebraic notation and terminology
  • Form expressions
  • Collect like terms
  • Multiply and divide terms
  • Expand a single bracket
  • Expand two single brackets and simplify
  • Factorise into a single bracket
  • Substitute into expressions and formulae

Key Vocabulary

Operation – A mathematical action such as addition, subtraction, multiplication, or division.

Inverse – An operation that undoes another operation (e.g. addition and subtraction).

Decimal Number – A number that includes a decimal point to show part of a whole.

Integer – A whole number that can be positive, negative, or zero.

Digit – Any single symbol from 0 to 9 used to make numbers.

Metric – A system of measurement based on units of 10.

Unit – A standard measurement used to describe a quantity.

Kilometres – A unit of length equal to 1000 metres.

Meters – A basic metric unit of length.

Centimetres – A unit of length equal to one hundredth of a metre.

Millimetres – A unit of length equal to one thousandth of a metre.

Kilograms – A metric unit used to measure mass.

Grams – A smaller metric unit of mass, with 1000 grams in a kilogram.

Milligrams – A very small unit of mass, equal to one thousandth of a gram.

Litres – A metric unit used to measure volume or capacity.

Millilitres – A small unit of volume, with 1000 millilitres in a litre.

Place Holder – A digit (usually zero) that holds a position in a number.

Negative Number – A number less than zero.

Power – A way of writing repeated multiplication using an index (e.g. 2³).

Ascending – Arranged from smallest to largest.

Descending – Arranged from largest to smallest.

Place Value – The value of a digit based on its position in a number.

Round – To make a number simpler while keeping it close to its original value.

Prime – A number greater than 1 that has exactly two factors: 1 and itself.

Factor – A number that divides exactly into another number.

Common Factor – A factor shared by two or more numbers.

Highest Common Factor (HCF) – The largest factor shared by two or more numbers.

Multiple – A number found by multiplying a given number by an integer.

Common Multiple – A multiple shared by two or more numbers.

Lowest Common Multiple (LCM) – The smallest multiple shared by two or more numbers.

Variable – A letter used to represent an unknown value.

Constant – A fixed value that does not change.

Coefficient – The number in front of a variable (e.g. 3 in 3x).

Expression – A mathematical statement without an equals sign.

Equation – A mathematical statement that shows two expressions are equal.

Term – A single part of an expression separated by + or − signs.

Like Terms – Terms that have the same variable raised to the same power.

Identity – An equation that is true for all values of the variable.

Factorise – To write an expression as a product of factors.

Expand – To multiply out brackets in an expression.

Simplify – To make an expression or calculation as simple as possible.

Substitute – To replace a variable with a number.

Formulae – Rules written using symbols that show how quantities are related.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.

Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 2

Summary

Working with Fractions

  • Simplifying fractions.
  • Finding equivalent fractions.
  • Ordering fractions.
  • Expressing numbers as a fraction of another.
  • Finding fractions of amounts, with or without a calculator.
  • Convert between fractions and decimals.
  • Performing operations with fractions.

Working with Percentages

  • Convert between percentages, fractions and decimals.
  • Find a percentage of an amount, with and without a calculator.
  • Increase and decrease a value by a given percentage.

Key Vocabulary

Simplify – To make a fraction or expression as simple as possible without changing its value.

Numerator – The top number in a fraction that shows how many parts are taken.

Denominator – The bottom number in a fraction that shows how many equal parts make the whole.

Common Factor – A number that divides exactly into two or more numbers.

Equivalent – Having the same value even though it may look different.

Proportion – The relationship between quantities showing how they compare in size.

Ascending – Arranged from smallest to largest.

Descending – Arranged from largest to smallest.

Comparison – Looking at numbers or quantities to decide which is bigger, smaller, or equal.

Expressing Numbers as a Fraction of Another – Writing one quantity as a fraction of a different quantity.

Ratio – A way of comparing two or more quantities.

Unit Fraction – A fraction with a numerator of 1.

Convert – To change a value from one form to another.

Terminating Decimal – A decimal that ends.

Recurring Decimal – A decimal that has a digit or pattern that repeats forever.

Division Method – A method that uses division to convert a fraction into a decimal.

Multiplication – An operation that combines equal groups.

Division – An operation that splits something into equal parts.

Reciprocal – A number flipped upside down, used when dividing fractions.

Percentage – A fraction out of 100.

Multiplier – A number used to increase or decrease a value by a percentage.

Estimate – To find an approximate value rather than an exact one.

Percentage Increase – When a value becomes larger by a given percentage.

Percentage Decrease – When a value becomes smaller by a given percentage.

Original Value – The starting amount before a change.

New Value – The amount after a change has been applied.

Change – The amount a value increases or decreases by.

Difference – The result of subtracting one number from another.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 3

Summary

2D and 3D Shapes

  • Name and identify properties of polygons.
  • Find the perimeter of 2D shapes, including compound shapes.
  • Find the area of 2D shapes, including compound shapes.
  • Name and identify properties of 3D shapes.
  • Nets
  • Plans and elevations

Angles, Constructions and Loci

  • Recognise types of angles.
  • Measure and draw angles.
  • Find missing angles on a line, around a point, in a triangle and in a quadrilateral.

Key Vocabulary

Acute – An angle less than 90°.

Right Angle – An angle exactly equal to 90°.

Obtuse – An angle greater than 90° but less than 180°.

Reflex – An angle greater than 180°.

Straight Line – An angle equal to 180°.

Parallel – Lines that never meet and stay the same distance apart.

Perpendicular – Lines that meet at a right angle.

Bisector – A line that cuts something exactly in half.

Protractor – A tool used to measure or draw angles.

Compass – A drawing tool used to create circles or arcs.

Loci – Paths that show all possible positions that follow a rule.

Arc – Part of the circumference of a circle.

Radius – The distance from the centre of a circle to its edge.

Diameter – A straight line through the centre of a circle joining two edges.

Chord – A straight line joining two points on a circle.

Tangent – A line that touches a circle at exactly one point.

Sector – A section of a circle between two radii and an arc.

Centre – The middle point of a shape or circle.

Interior Angle – An angle inside a shape.

Exterior Angle – An angle formed outside a shape.

Triangle – A polygon with three sides.

Quadrilateral – A polygon with four sides.

Polygon – A 2D shape with straight sides.

Regular – A shape with all sides and angles equal.

Irregular – A shape where sides or angles are not all equal.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 4

Summary

Plotting and Interpreting Graphs

  • Read and plot coordinates.
  • Time series graphs.
  • Finding midpoints of a line segment.
  • Solve geometric problems on a coordinate axis.
  • Horizontal and Vertical lines.
  • Lines of symmetry and reflection.

Ratio

  • Ratio notation.
  • Simplifying a ratio.
  • Find equivalent ratios.
  • Represent ratios graphically.
  • Convert between a ratio and a fraction.
  • Divide a quantity into a ratio.

Key Vocabulary

Coordinates – A pair of numbers that show a position on a grid.

Origin – The point (0,0) where the axes meet.

Axis – A reference line used to plot points on a graph.

Quadrant – One of the four sections of a coordinate grid.

Plotting – Marking points on a graph.

Gradient – A measure of how steep a line is.

Midpoint – The point exactly halfway between two points.

Line Segment – A part of a line with two endpoints.

Horizontal Line – A line that goes left to right.

Vertical Line – A line that goes up and down.

Symmetry – When a shape can be split into two identical halves.

Reflection – A mirror image across a line.

Time Series – A graph showing how something changes over time.

Scale – The size of each step on an axis.

Interval – The distance between values on a scale.

Axis Labels – Words or numbers that describe what each axis represents.

Ratio – A comparison of quantities using the same units.

Equivalent Ratio – A ratio with the same value written in a different way.

Fraction – A way of showing part of a whole.

Quantity – An amount or number of something.

Divide – To split into equal parts.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 5

Summary

Proportion

  • Solve problems using direct proportion.
  • Recipe problems
  • Exchange rates
  • Direct proportion problem solving

Compound Measures

  • Reading time.
  • Converting between 12- and 24-hour time.
  • Find speed, distance and time, without and with conversions.

Probability

  • Calculate probabilities.
  • The probability scale.
  • Find the probability an event does not happen.
  • Listing outcomes.
  • Sample space diagrams.
  • Relative frequency.

Key Vocabulary

Direct Proportion – A relationship where two quantities increase or decrease at the same rate.

Ratio – A comparison of two or more quantities.

Scale Factor – The number used to enlarge or reduce a quantity.

Conversion – Changing a value from one unit to another.

Exchange Rate – The value of one currency compared to another.

Recipe – Instructions showing quantities of ingredients in proportion.

Unit Rate – The value of one unit of a quantity.

Proportionality – A constant relationship between quantities.

Speed – How fast something moves.

Distance – How far something travels.

Time – How long something takes.

Duration – The total length of time an event lasts.

Probability – The chance of an event happening.

Event – Something that may or may not happen.

Outcome – A possible result of an event.

Sample Space – A list of all possible outcomes.

Relative Frequency – How often something happens compared to the total number of trials.

Probability Scale – A scale from 0 (impossible) to 1 (certain).

Certain – An event that will definitely happen.

Impossible – An event that cannot happen.

Likely – An event that has a high chance of happening.

Unlikely – An event that has a low chance of happening.

Evens – Outcomes that have an equal chance of happening.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 6

Summary

Sequences

  • Finding missing terms.
  • Term-to-term rules.
  • Types of sequences.
  • Finding the nth term.

Statistics and Averages

  • Tally charts and frequency tables.
  • Draw and interpret pictograms.
  • Draw and interpret bar charts, including dual and composite bar charts.
  • Calculate the range, mode, median and mean from a list of data.

Key Vocabulary

Sequence – An ordered list of numbers following a rule.

Term – A number in a sequence.

Term-to-Term Rule – A rule that describes how to get from one term to the next.

Position-to-Term Rule – A rule that links the position of a term to its value.

nth Term – A formula used to find any term in a sequence.

Arithmetic Sequence – A sequence with a constant difference between terms.

Geometric Sequence – A sequence where each term is multiplied by the same value.

Linear Sequence – A sequence that increases or decreases by the same amount each time.

Quadratic Sequence – A sequence where the differences are not constant.

Fibonacci – A sequence where each term is the sum of the two before it.

Pattern – A repeated or predictable arrangement of numbers.

Tally – A method of counting using marks.

Frequency – The number of times something occurs.

Frequency Table – A table that shows how often values occur.

Pictogram – A chart that uses pictures to represent data.

Bar Chart – A graph that uses bars to display data.

Dual Bar Chart – A bar chart that compares two sets of data.

Composite Bar Chart – A bar chart split into sections to show parts of a whole.

Range – The difference between the highest and lowest values.

Mode – The most common value in a data set.

Median – The middle value when data is ordered.

Mean – The average value of a data set.

Data Set – A collection of data values.

Interpret – To explain the meaning of data.

Compare – To look at similarities and differences between data sets.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Year 8

Overview / Introduction

At our school, the mathematics curriculum aims to equip all pupils with the knowledge, skills, and confidence to become fluent, curious, and resilient mathematicians. We believe that mathematics is a powerful and creative discipline that helps pupils understand and describe the world around them. Through high expectations and a well-structured, coherent curriculum, we ensure every child can achieve success.

Note – These topics will not be completed by every student this depends on which set they are in as to how far through these topics they go.

Half Term 1

Summary

Number structure

  • Round to powers of 10.
  • Round to decimal and significant figures.

Number calculation

  • Multiply and divide decimals.
  • Order of operations
  • Understanding key financial terms and completing bank statements.

Number Properties

  • Perform the four operations with negative numbers.
  • Understanding powers and roots.
  • Numerical index laws.
  • Product of prime factors.

Fundamental/Extending Algebra

  • Substitute into expressions and formulae.
  • Calculate with algebraic index laws
  • Expand double brackets and simplify.
  • Expand triple brackets and simplify.

Working with Fractions

  • Multiplying and dividing fractions.
  • Convert between mixed numbers and improper fractions.
  • Performing operations with mixed fractions.

Key Vocabulary

Operation – A mathematical action such as addition, subtraction, multiplication, or division.

Inverse – An operation that undoes another operation (e.g. addition and subtraction).

Decimal Number – A number that includes a decimal point to show part of a whole.

Integer – A whole number that can be positive, negative, or zero.

Digit – Any single symbol from 0 to 9 used to make numbers.

Metric – A system of measurement based on units of 10.

Unit – A standard measurement used to describe a quantity.

Kilometres – A unit of length equal to 1000 metres.

Meters – A basic metric unit of length.

Centimetres – A unit of length equal to one hundredth of a metre.

Millimetres – A unit of length equal to one thousandth of a metre.

Kilograms – A metric unit used to measure mass.

Grams – A smaller metric unit of mass, with 1000 grams in a kilogram.

Milligrams – A very small unit of mass, equal to one thousandth of a gram.

Litres – A metric unit used to measure volume or capacity.

Millilitres – A small unit of volume, with 1000 millilitres in a litre.

Place Holder – A digit (usually zero) that holds a position in a number.

Negative Number – A number less than zero.

Power – A way of writing repeated multiplication using an index (e.g. 2³).

Ascending – Arranged from smallest to largest.

Descending – Arranged from largest to smallest.

Place Value – The value of a digit based on its position in a number.

Round – To make a number simpler while keeping it close to its original value.

Prime – A number greater than 1 that has exactly two factors: 1 and itself.

Factor – A number that divides exactly into another number.

Common Factor – A factor shared by two or more numbers.

Highest Common Factor (HCF) – The largest factor shared by two or more numbers.

Multiple – A number found by multiplying a given number by an integer.

Common Multiple – A multiple shared by two or more numbers.

Lowest Common Multiple (LCM) – The smallest multiple shared by two or more numbers.

Variable – A letter used to represent an unknown value.

Constant – A fixed value that does not change.

Coefficient – The number in front of a variable (e.g. 3 in 3x).

Expression – A mathematical statement without an equals sign.

Equation – A mathematical statement that shows two expressions are equal.

Term – A single part of an expression separated by + or − signs.

Like Terms – Terms that have the same variable raised to the same power.

Identity – An equation that is true for all values of the variable.

Factorise – To write an expression as a product of factors.

Expand – To multiply out brackets in an expression.

Simplify – To make an expression or calculation as simple as possible.

Substitute – To replace a variable with a number.

Formulae – Rules written using symbols that show how quantities are related.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 2

Summary

Equations and Inequalities

  • Function machines.
  • Solve equations with one variable.
  • Solve equations with unknowns on both sides.
  • Finding integer solutions to inequalities.
  • Represent inequalities on a number line.

Working with Percentages

  • Increase and decrease a value by a given percentage.
  • Express one quantity as a percentage of another.
  • Compare quantities using percentages.
  • Calculate with simple interest.
  • Calculate with compound interest.

2D and 3D Shapes

  • Name and identify properties of 3D shapes.
  • Nets
  • Plans and elevations.
  • Calculate the area of a circle.
  • Calculate the circumference of a circle.
  • Calculate the volume of cubes, cuboids and prisms.
  • Calculate the area of a trapezium.

Key Vocabulary

Equation – A mathematical statement that shows two expressions are equal using an equals sign.

Variable – A letter used to represent an unknown or changing value.

Coefficient – The number multiplied by a variable.

Constant – A value that stays the same.

Expression – A mathematical statement with numbers and/or letters but no equals sign.

Function Machine – A diagram showing how an input is changed by a rule to give an output.

Input – The value that goes into a function or calculation.

Output – The value that comes out of a function or calculation.

Unknown – A value that is not known and is usually represented by a letter.

Simplify – To make an expression or calculation as simple as possible.

Rearrange – To change the structure of an equation to make a different variable the subject.

Inequality – A statement that shows one value is not equal to another.

Greater Than – A symbol (>) meaning a value is larger than another.

Less Than – A symbol (<) meaning a value is smaller than another.

Integer Solution – A solution to an equation or inequality that is a whole number.

Number Line – A straight line used to show numbers in order.

Percentage – A way of expressing a number as a fraction of 100.

Increase – When a value becomes larger.

Decrease – When a value becomes smaller.

Multiplier – A number used to calculate percentage increase or decrease.

Original Value – The starting amount before a change.

New Value – The amount after a change has been made.

Express – To show a quantity in a particular form, such as a percentage or fraction.

Compare – To examine similarities and differences between values.

Simple Interest – Interest calculated only on the original amount.

Compound Interest – Interest calculated on the original amount and previous interest.

Principal – The original amount of money invested or borrowed.

Rate – The percentage of interest per time period.

Time – How long money is invested or borrowed for.

Amount – The total value after interest has been added.

Cube – A 3D shape with six equal square faces.

Cuboid – A 3D shape with six rectangular faces.

Prism – A 3D shape with a constant cross-section.

Cylinder – A 3D shape with two circular faces and one curved surface.

Sphere – A round 3D shape where every point on the surface is the same distance from the centre.

Cone – A 3D shape with a circular base and one curved surface meeting at a point.

Pyramid – A 3D shape with a polygon base and triangular faces meeting at a vertex.

Face – A flat surface on a 3D shape.

Edge – A line where two faces meet.

Vertex – A corner point where edges meet.

Net – A 2D shape that can be folded to form a 3D shape.

Plan – A drawing showing a shape from above.

Elevation – A drawing showing a shape from the front or side.

Circle – A 2D shape where all points are the same distance from the centre.

Radius – The distance from the centre of a circle to its edge.

Diameter – A straight line through the centre of a circle touching both sides.

Circumference – The distance around the edge of a circle.

Area – The amount of space inside a 2D shape.

Volume – The amount of space inside a 3D shape.

Trapezium – A quadrilateral with one pair of parallel sides.

Height – The perpendicular distance from the base to the top of a shape.

Base – The bottom face or reference side of a shape.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 3

Summary

Angles, Constructions and Loci

  • Find missing angles in a quadrilateral.
  • Rotate a shape.
  • Find missing angles on parallel lines.

Plotting and Interpreting Graphs

  • Horizontal and Vertical lines.
  • Lines of symmetry and reflection.
  • Plot linear graphs with a table of values.
  • Plot quadratic graphs using a table of values.
  • Solve simultaneous equations graphically.

Key Vocabulary

Angle – The space between two intersecting lines.

Vertex – The point where two lines meet to form an angle.

Quadrilateral – A polygon with four sides.

Interior Angle – An angle inside a shape.

Exterior Angle – An angle formed outside a shape.

Parallel Lines – Lines that never meet and remain the same distance apart.

Alternate Angles – Angles equal in size on opposite sides of a transversal between parallel lines.

Corresponding Angles – Angles in matching positions on parallel lines.

Vertically Opposite Angles – Angles opposite each other when two lines cross.

Perpendicular – Lines that meet at a right angle.

Bisector – A line that cuts something into two equal parts.

Compass – A tool used to draw arcs or circles.

Protractor – A tool used to measure angles.

Locus – A path showing all possible points that follow a rule.

Rotation – Turning a shape around a fixed point.

Centre of Rotation – The fixed point a shape rotates around.

Clockwise – A direction that follows the movement of a clock.

Anticlockwise – A direction opposite to the movement of a clock.

Axis – A reference line on a graph.

Horizontal Line – A line that goes left to right.

Vertical Line – A line that goes up and down.

Coordinates – A pair of values showing a position on a grid.

Origin – The point (0,0) where the axes meet.

Gradient – A measure of how steep a line is.

Intercept – The point where a line crosses an axis.

Line of Symmetry – A line that divides a shape into two identical halves.

Reflection – A mirror image across a line.

Table of Values – A table used to plot points for a graph.

Linear Graph – A straight-line graph.

Quadratic Graph – A curved graph formed from a squared term.

Curve – A line that is not straight.

Simultaneous Equations – Two equations solved together to find common solutions.

Intersection Point – The point where two graphs cross.

Substitution – Replacing a variable with a value or expression.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 4

Summary

Ratio

  • Simplifying a ratio in the form 1: n.
  • Divide a quantity into a ratio.
  • Find an amount given the value of one part of the ratio.
  • Find the whole of a ratio when given the difference.
  • Equate ratios.
  • Express multiplicative relationships as ratios and fractions.

Proportion

  • Scale drawings.
  • Best buys.
  • Deal comparison.
  • Problems with inverse proportion.

Compound Measures

  • Find speed, distance and time, without and with conversions.
  • Interpret and draw a distance – time graph.

Key Vocabulary

Ratio – A comparison of two or more quantities.

Simplify – To reduce a ratio or expression to its simplest form.

Equivalent Ratio – A ratio with the same value written differently.

Proportion – A relationship showing how quantities are connected.

Part – A single section of a whole.

Whole – The complete amount.

Difference – The result of subtracting one value from another.

Equate – To make two ratios or expressions equal.

Fraction – A number showing part of a whole.

Scale – The size relationship between a drawing and the real object.

Scale Factor – The number used to enlarge or reduce a shape.

Enlargement – Making a shape bigger or smaller using a scale factor.

Best Buy – The option that gives the best value for money.

Unit Price – The cost for one unit of an item.

Comparison – Examining similarities and differences between quantities.

Inverse Proportion – A relationship where one value increases as the other decreases.

Direct Proportion – A relationship where two values increase or decrease together.

Speed – The distance travelled per unit of time.

Distance – How far something travels.

Time – How long something takes.

Conversion – Changing from one unit to another.

Units – Standard measurements such as metres or seconds.

Rate – A comparison of two quantities with different units.

Distance–Time Graph – A graph showing how distance changes over time.

Gradient – The steepness of a line on a graph.

Interpret – To explain the meaning of information.

Axis – A line used as a reference on a graph.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 5

Summary

Probability

  • Relative frequency.
  • Frequency trees.
  • Two-way tables.

Sequences

  • Finding the nth term.
  • Geometric sequences.
  • Fibonacci sequences.

Statistics and Averages

  • Calculate the range, mode, median and mean from a list of data.
  • Calculating the mean from a discrete data frequency table.
  • Calculating the mean from a continuous data frequency table.
  • Reverse mean.
  • Creating data sets to meet criteria.
  • Interpret vertical line charts.

Key Vocabulary

Two-Way Table – A table showing how two sets of data are related.

Row – A horizontal line of data in a table.

Column – A vertical line of data in a table.

Total – The sum of all values.

Joint Frequency – A value shared by two categories.

Marginal Frequency – A total found at the edge of a table.

Sequence – An ordered list of numbers following a rule.

Term – A number in a sequence.

Position – The place of a term in a sequence.

nth Term – A formula used to find any term in a sequence.

Arithmetic Sequence – A sequence with a constant difference.

Geometric Sequence – A sequence where terms are multiplied by the same value.

Common Ratio – The multiplier between terms in a geometric sequence.

Fibonacci Sequence – A sequence where each term is the sum of the two before it.

Pattern – A repeated or predictable arrangement.

Range – The difference between the highest and lowest values.

Mode – The most common value.

Median – The middle value when data is ordered.

Mean – The average of a set of values.

Discrete Data – Data that can only take specific values.

Continuous Data – Data that can take any value within a range.

Frequency Table – A table showing how often values occur.

Reverse Mean – Finding missing values using the mean.

Data Set – A collection of data.

Criteria – Conditions that must be met.

Vertical Line Chart – A graph using vertical lines to display data.

Interpret – To explain what data shows.

Plot – To mark points on a graph.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 6

Summary

This half term, our focus is on revision during lessons to ensure students consolidate their knowledge and are fully prepared for Year 9. We’ll be working on strengthening understanding and addressing any gaps so that every student feels confident moving forward.

Key Vocabulary

All of the above.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Year 9

Overview / Introduction

At our school, the mathematics curriculum aims to equip all pupils with the knowledge, skills, and confidence to become fluent, curious, and resilient mathematicians. We believe that mathematics is a powerful and creative discipline that helps pupils understand and describe the world around them. Through high expectations and a well-structured, coherent curriculum, we ensure every child can achieve success.

Note – These topics will not be completed by every student this depends on which set they are in as to how far through these topics they go.

Half Term 1

Summary

Number structure

  • Round to significant figures.
  • Estimation and approximation.
  • Convert between standard and ordinary form.
  • Add and subtract in standard form.
  • Multiply and divide in standard form.

Number calculation

  • Order of operations
  • Calculating profit.
  • Product rule for counting.

Number Properties

  • Numerical index laws, including fractional powers.
  • Product of prime factors.
  • Simplify surds.
  • Multiply and divide surds.

Fundamental/Extending Algebra

  • Expand double brackets and simplify.
  • Calculate with algebraic index form.
  • Expand triple brackets and simplify.
  • Factorise a quadratic.
  • Solve a quadratic equation.
  • Solve two linear simultaneous equations.
  • Solve an identity.

Working with Fractions

  • Performing operations with mixed fractions.
  • Convert between fractions and recurring decimals including algebraic proof.

Key Vocabulary

Operation – A mathematical process such as addition, subtraction, multiplication, or division.

Inverse – An operation that reverses the effect of another operation.

Decimal Number – A number written using a decimal point to show parts of a whole.

Integer – A whole number, including positive, negative, and zero.

Digit – A single number from 0 to 9.

Metric – A system of measurement based on units of 10.

Unit – A standard quantity used for measurement.

Kilometres – A metric unit used to measure long distances.

Metres – A metric unit used to measure length or distance.

Centimetres – A metric unit equal to one hundredth of a metre.

Millimetres – A metric unit equal to one thousandth of a metre.

Kilograms – A metric unit used to measure mass.

Grams – A metric unit equal to one thousandth of a kilogram.

Milligrams – A metric unit equal to one thousandth of a gram.

Litres – A metric unit used to measure volume or capacity.

Millilitres – A metric unit equal to one thousandth of a litre.

Place Holder – The position of a digit in a number that gives it value.

Negative Number – A number less than zero.

Power – The number of times a value is multiplied by itself.

Ascending – Arranged from smallest to largest.

Descending – Arranged from largest to smallest.

Place Value – The value of a digit based on its position in a number.

Round – To adjust a number to a given degree of accuracy.

Prime – A number with exactly two factors, 1 and itself.

Factor – A number that divides exactly into another.

Common Factor – A factor shared by two or more numbers.

Highest Common Factor (HCF) – The largest factor shared by two or more numbers.

Multiple – A number found by multiplying another number by an integer.

Common Multiple – A multiple shared by two or more numbers.

Lowest Common Multiple (LCM) – The smallest multiple shared by two or more numbers.

Variable – A letter used to represent a number.

Constant – A fixed value that does not change.

Coefficient – The number that multiplies a variable.

Expression – A mathematical statement with numbers and/or letters but no equals sign.

Equation – A statement showing two expressions are equal.

Term – A single part of an expression separated by addition or subtraction.

Like Terms – Terms that have the same variables raised to the same powers.

Identity – An equation that is true for all values of the variable.

Factorise – To write an expression as a product of its factors.

Expand – To remove brackets by multiplying terms.

Simplify – To make an expression as simple as possible.

Substitute – To replace a variable with a value.

Formulae – Rules written using symbols to show relationships between quantities.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 2

Summary

Equations and Inequalities

  • Solve linear inequalities.
  • Form and solve equations.
  • Rearrange to change the subject.

Working with Percentages

  • Calculate with simple interest.
  • Calculate with compound interest.
  • Calculate with depreciation.

2D and 3D Shapes

  • Calculate the volume of cubes, cuboids and prisms.
  • Calculate the area of a trapezium.
  • Find the surface area of a cube, cuboid, triangular prisms, and compound prisms.

Angles, Constructions and Loci

  • Find missing angles on parallel lines.
  • Calculate angles in polygons, regular and irregular.
  • Bearings

Key Vocabulary

Inequality – A statement showing values are not equal.

Rearrange – To change the subject of an equation.

Subject – The variable being solved for in an equation.

Linear Equation – An equation where the highest power of the variable is one.

Linear Inequality – An inequality involving a linear expression.

Greater Than – A symbol (>) meaning larger than.

Less Than – A symbol (<) meaning smaller than.

Number Line – A line used to show numbers in order.

Solution – A value that makes an equation or inequality true.

Percentage – A number expressed out of 100.

Increase – When a value becomes larger.

Decrease – When a value becomes smaller.

Multiplier – A number used to calculate percentage change.

Simple Interest – Interest calculated on the original amount only.

Compound Interest – Interest calculated on the original amount and previous interest.

Depreciation – A decrease in value over time.

Rate – The percentage change per time period.

Principal – The original amount of money.

Time – The length of time money is invested or borrowed.

Amount – The total value after interest or change.

Cube – A 3D shape with six equal square faces.

Cuboid – A 3D shape with six rectangular faces.

Prism – A 3D shape with a constant cross-section.

Triangular Prism – A prism with triangular ends.

Face – A flat surface on a 3D shape.

Edge – A line where two faces meet.

Vertex – A corner point of a shape.

Volume – The amount of space inside a 3D shape.

Surface Area – The total area of all faces of a 3D shape.

Trapezium – A quadrilateral with one pair of parallel sides.

Height – The perpendicular distance from base to top.

Base – The bottom face or reference side of a shape.

Compound Prism – A 3D shape made from two or more prisms joined together.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 3

Summary

Equations and Inequalities

  • Solve linear inequalities.
  • Form and solve equations.
  • Rearrange to change the subject.

Working with Percentages

  • Calculate with simple interest.
  • Calculate with compound interest.
  • Calculate with depreciation.

2D and 3D Shapes

  • Calculate the volume of cubes, cuboids and prisms.
  • Calculate the area of a trapezium.
  • Find the surface area of a cube, cuboid, triangular prisms, and compound prisms.

Angles, Constructions and Loci

  • Find missing angles on parallel lines.
  • Calculate angles in polygons, regular and irregular.
  • Bearings

Key Vocabulary

Inequality – A statement showing values are not equal.

Rearrange – To change the subject of an equation.

Subject – The variable being solved for in an equation.

Linear Equation – An equation where the highest power of the variable is one.

Linear Inequality – An inequality involving a linear expression.

Greater Than – A symbol (>) meaning larger than.

Less Than – A symbol (<) meaning smaller than.

Number Line – A line used to show numbers in order.

Solution – A value that makes an equation or inequality true.

Percentage – A number expressed out of 100.

Increase – When a value becomes larger.

Decrease – When a value becomes smaller.

Multiplier – A number used to calculate percentage change.

Simple Interest – Interest calculated on the original amount only.

Compound Interest – Interest calculated on the original amount and previous interest.

Depreciation – A decrease in value over time.

Rate – The percentage change per time period.

Principal – The original amount of money.

Time – The length of time money is invested or borrowed.

Amount – The total value after interest or change.

Cube – A 3D shape with six equal square faces.

Cuboid – A 3D shape with six rectangular faces.

Prism – A 3D shape with a constant cross-section.

Triangular Prism – A prism with triangular ends.

Face – A flat surface on a 3D shape.

Edge – A line where two faces meet.

Vertex – A corner point of a shape.

Volume – The amount of space inside a 3D shape.

Surface Area – The total area of all faces of a 3D shape.

Trapezium – A quadrilateral with one pair of parallel sides.

Height – The perpendicular distance from base to top.

Base – The bottom face or reference side of a shape.

Compound Prism – A 3D shape made from two or more prisms joined together.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 3

Summary

Plotting and Interpreting Graphs

  • Plot quadratic graphs using a table of values.
  • Solve simultaneous equations graphically.
  • Interpret quadratic graphs.
  • Understanding and use y=mx+c
  • Find the equation of a linear graph using coordinates.
  • Identify parallel lines.

Ratio

  • Find an amount given the value of one part of the ratio.
  • Find the whole of a ratio when given the difference.
  • Equate ratios.
  • Express multiplicative relationships as ratios and fractions.

Key Vocabulary

Quadratic Graph – A curved graph formed from a squared term.

Table of Values – A table used to plot points on a graph.

Simultaneous Equations – Two equations solved together.

Intersection Point – The point where two graphs cross.

Linear Graph – A straight-line graph.

Gradient – A measure of how steep a line is.

y-intercept – The point where a graph crosses the y-axis.

y = mx + c – The equation of a straight line.

Coordinates – A pair of numbers showing position on a grid.

Parallel Lines – Lines that never meet.

Axis – A reference line on a graph.

Origin – The point (0,0) where axes meet.

Ratio – A comparison of quantities.

Part – A section of a whole.

Whole – The total amount.

Difference – The result of subtraction.

Equate – To make two ratios or expressions equal.

Multiplicative Relationship – A relationship based on multiplication.

Fraction – A number representing part of a whole.

Proportion – A relationship showing how quantities are linked.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 4

Summary

Proportion

  • Direct proportion problems.
  • Problems with inverse proportion.
  • Algebraic direct and inverse proportion.

Compound Measures

  • Interpret and draw a distance – time graph.
  • Mass, Volume, and Density problems.
  • Force, Area, and Pressure problems.

Probability

  • Two-way tables.
  • Tree diagrams.
  • Independent and Dependent events.
  • Venn diagrams
  • Set notation

Key Vocabulary

Direct Proportion – A relationship where values increase or decrease together.

Inverse Proportion – A relationship where one value increases as the other decreases.

Scale Factor – The multiplier used in enlargement.

Algebraic Proportion – Proportion expressed using algebra.

Constant of Proportionality – The number linking two proportional quantities.

Speed – Distance travelled per unit of time.

Distance – How far something travels.

Mass – The amount of matter in an object.

Density – Mass divided by volume.

Force – A push or pull.

Area – The amount of space inside a 2D shape.

Pressure – Force divided by area.

Units – Standard measurements.

Conversion – Changing between units.

Distance–Time Graph – A graph showing distance over time.

Interpret – To explain the meaning of information.

Probability – The likelihood of an event occurring.

Outcome – A possible result.

Event – A set of outcomes.

Two-Way Table – A table showing relationships between two sets of data.

Tree Diagram – A diagram showing all possible outcomes.

Independent Event – Events where one does not affect the other.

Dependent Event – Events where one affects the other.

Venn Diagram – A diagram showing sets and their relationships.

Intersection – Elements shared by sets.

Union – All elements in either set.

Complement – Elements not in a set.

Set Notation – Symbols used to describe sets.

Sample Space – All possible outcomes.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 5

Summary

Sequences

  • Fibonacci sequences.
  • Finding the nth term of a quadratic sequence.
  • Using the nth term of a quadratic sequence

Statistics and Averages

  • Calculating the mean from a continuous data frequency table.
  • Finding the median from frequency tables.
  • Mixed averages from tables.
  • Interpret vertical line charts.
  • Scatter graphs, lines of best fit and correlation.
  • Drawing and interpreting pie charts.
  • Drawing and interpreting cumulative frequency graphs.

Pythagoras and Trigonometry

  • Finding missing lengths in right-angled triangles.
  • Finding missing lengths and angles using right-angled trigonometry.
  • Mixed Pythagoras and trigonometry to solve problems.
  • 3D Pythagoras.

Key Vocabulary

Sequence – An ordered list of numbers.

Position – The place of a term in a sequence.

nth Term – A formula for finding any term.

Quadratic Sequence – A sequence with a squared term.

Common Difference – The amount added each time in a linear sequence.

Common Ratio – The multiplier in a geometric sequence.

Fibonacci Sequence – A sequence where each term is the sum of the previous two.

Pattern – A repeated arrangement.

Mean – The average value.

Median – The middle value.

Mode – The most frequent value.

Range – The difference between highest and lowest values.

Continuous Data – Data that can take any value.

Frequency Table – A table showing how often values occur.

Cumulative Frequency – A running total of frequencies.

Mixed Averages – Calculations involving more than one average.

Vertical Line Chart – A chart using vertical lines.

Scatter Graph – A graph showing correlation between variables.

Line of Best Fit – A line showing the trend in data.

Correlation – A relationship between variables.

Pie Chart – A circular chart showing proportions.

Sector – A slice of a pie chart.

Right-Angled Triangle – A triangle with a 90° angle.

Hypotenuse – The longest side opposite the right angle.

Opposite – The side opposite an angle.

Adjacent – The side next to an angle.

Pythagoras’ Theorem – A rule linking the sides of a right-angled triangle.

Trigonometry – Using ratios to find lengths and angles.

Sine – The ratio of opposite to hypotenuse.

Cosine – The ratio of adjacent to hypotenuse.

Tangent – The ratio of opposite to adjacent.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Half Term 6

Summary

Transformations and Vectors

  • Translation.
  • Vector arithmetic.
  • Enlargements.

Key Vocabulary

Transformation – A change in position or size of a shape.

Translation – A slide of a shape.

Vector – A quantity with direction and magnitude.

Column Vector – A vector written in vertical form.

Component – A part of a vector.

Direction – The way something moves.

Magnitude – The size or length of a vector.

Vector Arithmetic – Adding or subtracting vectors.

Addition – Combining values.

Subtraction – Finding the difference between values.

Enlargement – Changing the size of a shape using a scale factor.

Centre of Enlargement – The fixed point an enlargement is based on.

Image – The new shape after a transformation.

Object – The original shape before a transformation.

How to support your child at home

  1. Use shopping to practise numbers – Ask your child to estimate the total cost, work out discounts, or compare prices to reinforce percentages and mental arithmetic.
  2. Cook together – Use recipes to practise fractions, ratios, and scaling (e.g. doubling or halving ingredients).
  3. Link maths to time and schedules – Work out journey times, timetables, or how long tasks take to practise calculations with time.
  4. Talk through household bills – Show how gas, electricity, or phone bills use units, totals, averages, and graphs.
  5. Use sports and hobbies – Analyse scores, league tables, averages, or statistics to apply maths in a context they enjoy.
  6. Encourage budgeting – Give them a small budget for a week or event and help them plan spending using addition, subtraction, and percentages.
  7. Practise measuring at home – Measure rooms, furniture, or garden spaces to support understanding of perimeter, area, and volume.
  8. Use maps and journeys – Calculate distances, directions, and scale when planning trips, reinforcing ratio and proportional reasoning.

Useful Resources

Proud to be Fredie, fairness in the workplace Logo

Click here to contact us