Maths for P6

Maths for P6

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This P6 Northern Ireland course follows the CCEA Mathematics programme, developing pupils’ confidence with numbers to 1,000,000, negative numbers, rounding and estimation. It builds strong mental and written calculation skills, introduces formal long multiplication and division, and explores multiples, factors, primes and squares. Pupils also work with fractions, decimals to one place, percentages, money in pounds and euros, measures, time, shape, coordinates, data handling and probability, all grounded in familiar Northern Irish contexts.
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Extend place-value reasoning from the P5 ten-thousand ceiling to hundred-thousands and into millions; introduce negative numbers via NI contexts (winter temperatures in the Mournes, lift floors, bank balances); consolidate and extend rounding; introduce number sequences with a rule.

Place Value to Hundred-thousands and Millions
Place Value to 100,000: Re-anchoring from P5
Place Value to 1,000,000
Determining the Value of Each Digit
Comparing and Ordering Large Numbers
Rounding and Estimation
Rounding to Nearest 10, 100, 1,000 and 10,000
Estimation in Context
Negative Numbers in Context
Introducing Negative Numbers: Thermometer in NI Winter
Ordering Negative Numbers
Number Lines Through Zero: Counting up Across Zero
Real-life Negatives: Lift Floors, Bank Balances, Sea Level
Sequences, Multi-step Problems and Consolidation
Number Sequences and Rules
Multi-step Problems Combining Place Value, Rounding and Negatives
Module 1 Mixed Practice
Open Consolidation: Module 1 Flex

Build P6 fluency in the four operations on whole numbers. Formal long multiplication of 2-digit × 2-digit numbers; introduction to long division (3-digit ÷ 2-digit); multiples and factors; prime and square numbers; order of operations with brackets; function machines and growing patterns.

Mental and Column Arithmetic
Mental Addition and Subtraction with Large Numbers
Column Addition and Subtraction with Large Numbers
Mental Multiplication with Round Numbers
Long Multiplication
Long Multiplication: 2-digit × 2-digit (Introducing the Formal Method)
Long Multiplication: 3-digit × 2-digit
Long Multiplication: Error Spotting and Estimation Check
Division (Short and Long)
Short Division: 3-digit ÷ Single-digit (Consolidating P5)
Introducing Long Division: 3-digit ÷ 2-digit
Interpreting Remainders in Division Problems
Multiples, Factors, Primes and Squares
Multiples and Common Multiples
Factors and Common Factors
Prime Numbers: Numbers with Exactly Two Factors
Square Numbers
Order of Operations, Problems, and Patterns
Order of Operations: × and ÷ Outrank + and −
Multi-step Word Problems Combining Four Operations
Function Machines: Input and Output Rules
Patterns from Sequences and Shape
Module 2 Consolidation: Four-ops Mixed Practice

P6's biggest module. Vulgar fractions equivalence and same-denominator addition / subtraction; decimal fractions to 1 decimal place including +, −, × and ÷ by a single-digit whole; percentages introduced via 50%, 25%, 10%; early linking of fractions, decimals and percentages.

Vulgar Fractions: Equivalence and Operations
Equivalent Fractions: Formal Procedure
Simplifying Fractions
Comparing and Ordering Fractions
Adding Fractions with Same Denominator
Subtracting Fractions with Same Denominator
Fractions of Larger Quantities
Decimal Fractions to 1 Decimal Place
Decimal Place Value to 1 Decimal Place
Decimals on a Number Line
Adding and Subtracting Decimals to 1 Dp
Multiplying Decimals by a Single-digit Whole Number
Dividing Decimals by a Single-digit Whole Number
Multiplying and Dividing Decimals by 10
Percentages and FDP Links
Percentages: What Does % Mean?
Percentages of Quantities: 50%, 25%, 10%
Linking Fractions, Decimals and Percentages: 1/2 = 0.5 = 50%
Real-life Percentages: Battery, Sale Signs, Weather, Sports
FDP Consolidation
Multi-step Word Problems: Fractions, Decimals, Percentages Mixed
Module 3 Consolidation: FDP Mixed Practice

Full four-op fluency on pounds and pence (linking the decimal work from Module 3); the Euro at full P6 depth (NI cross-border context with the £1≈€1.20 rule); budgeting with multiple constraints; value-for-money problems with three or more options; saving for a goal.

Pounds and Pence: Arithmetic, Budgeting, Value
Pounds and Pence: Full Four Operations
Budgeting with Multiple Constraints
Value for Money: Comparing 3+ Options
Saving for a Goal: Calendar and Money Combined
Euro and Cross-border Money
The Euro: Currency, Where Used, What It Looks Like
Foreign-currency Word Problems: a Cross-border Trip
Cross-border Price Comparison: Same Item, Two Countries
Module 4 Consolidation: Money Mixed Practice

Extend P5 measures with decimal unit conversion (2.5 m → 250 cm, 1.5 kg → 1500 g, 1.5 L → 1500 ml); perimeter of composite shapes; area of rectangles and right-angled triangles; area of composite shapes; volume of cuboids by counting unit cubes; estimation benchmarks; refined scale reading; negative-temperature intervals; outdoor measures.

Decimal Unit Conversion
Decimal Unit Conversion: Length (M and Cm)
Decimal Unit Conversion: Weight (Kg and G)
Decimal Unit Conversion: Capacity (L and Ml)
Perimeter and Area
Perimeter of Composite Shapes
Area of Rectangles: Formula L × W
Area of Right-angled Triangles
Area of Composite Shapes
Volume of Cuboids
Volume of Cuboids: Counting Unit Cubes
Estimation, Scales, Word Problems and Outdoors
Estimating Measures: Sensible Answers
Reading Scales: Refining Accuracy
Measures Word Problems: Multi-step with Conversion
Negative Temperatures: Interval Problems
Outdoor Measures: Playground Survey with Conversion
Module 5 Consolidation: Measures Mixed Practice

Introduce the 24-hour clock (afternoon and evening hours as 13:00 to 23:00); time intervals across hour and day boundaries; reading realistic Translink timetables in 24-hour format; calendar and date arithmetic; introductory scale on simple NI maps; combining scale and the eight-point compass to describe a route.

The 24-hour Clock and Timetables
The 24-hour Clock: Afternoon Hours as 13:00 to 23:00
Time Intervals Across Hour and Day Boundaries
Reading Translink Train Timetables (24-hour)
Calendar and Date Arithmetic
Scale on Simple Maps
Scale on Simple Maps: 1 Cm = 5 Km
Scale and Direction Combined: a Route Across NI
Module 6 Consolidation: Time and Maps Mixed Practice
Open Consolidation: Modules 5-6 Flex

Classify 2D shapes; line symmetry with multiple axes; introduce rotational symmetry; tessellation; congruence (lightly); nets of cuboids; angle types (acute, right, obtuse, straight); measuring and drawing angles to 180° with a protractor; first-quadrant coordinates; plotting shapes from coordinates; the eight-point compass.

2D Shapes, Symmetry, Tessellation and Congruence
Classifying 2D Shapes by Properties
Line Symmetry: Multiple Axes
Rotational Symmetry: Order of Rotation
Tessellation: Shapes That Tile Without Gaps
Congruence: Same Shape and Size
3D Shapes and Nets
3D Shapes and Their Nets
Angles to 180°
Angles: Recognising and Naming (Acute, Obtuse, Right, Straight)
Measuring Angles with a Protractor: up to 180°
Drawing Angles with a Protractor: up to 180°
Coordinates and Compass
Coordinates: the First Quadrant
Plotting Shapes on the Coordinate Grid: Paired Plotting
Eight Points of the Compass: N, NE, E, SE, S, SW, W, NW
Module 7 Consolidation: Shape and Space Mixed Practice
Outdoor Shape and Coordinates: Playground Grid

Frequency tables on bigger datasets; grouped frequency tables; introduce range (biggest minus smallest); introduce the mean (sum ÷ count) as one of P6's biggest new data-handling ideas; combine mean and range to describe a dataset; bar charts on larger scales; line graphs for change over time; pie chart awareness (read, don't construct); comparing chart types; light spreadsheet / database awareness; end-to-end survey including paired data-collection (P6 pair-share #3).

Frequency Tables: Simple and Grouped
Revisiting Frequency Tables: Bigger Datasets
Grouped Frequency Tables: When Data Has Many Distinct Values
The Mean and Range
Range: the Spread of a Dataset
Introducing the Mean: What Does 'Average' Really Mean?
Mean and Range Together: Describing a Dataset
Charts and Chart-choice
Drawing and Reading Bar Charts: Bigger Scales
Line Graphs: Change Over Time
Pie Chart Awareness: What a Pie Chart Shows
Comparing Charts: Same Data, Different Representations
Spreadsheets and End-to-end Data Handling
Spreadsheets: Data in a Grid of Rows and Columns
Data-handling End-to-end: Survey to Chart with Mean
Paired Data-collection: Two Pupils, One Question
Module 8 Consolidation: Data Handling Mixed Practice
Open Consolidation: Module 8 Flex

Re-anchor P5 probability language (certain, possible, impossible, likely, unlikely); introduce 'evens' as exactly 50-50; comparative idea (more / less likely than evens); order events on a probability line; outcomes of simple games of chance; experimental probability with many trials; probability in NI life (weather, sports); prediction from setup; end-of-year five-strand consolidation and reflection.

Probability Language and the 'Evens' Idea
Probability Language: Re-anchoring from P5
The 'Evens' Idea
More Likely Than Evens; Less Likely Than Evens
Ordering Events on a Probability Line
Games of Chance and Predicting Outcomes
Simple Games of Chance: Outcomes and Likelihood
Experimental Probability: Many Trials and Expected Counts
Probability in NI Life: Weather, Sports, News
Predicting Outcomes: Combining Knowledge of Evens and Bias
End-of-year Consolidation and Reflection
Module 9 Consolidation: Probability Mixed Practice
End-of-year Mixed Practice: Five-strand Consolidation
End-of-year Reflection: P6 Reviewed, P7 Previewed
Open Consolidation: Final Flex Lesson

Extend place-value reasoning from the P5 ten-thousand ceiling to hundred-thousands and into millions; introduce negative numbers via NI contexts (winter temperatures in the Mournes, lift floors, bank balances); consolidate and extend rounding; introduce number sequences with a rule.

Place Value to Hundred-thousands and Millions
Place Value to 100,000: Re-anchoring from P5
Place Value to 1,000,000
Determining the Value of Each Digit
Comparing and Ordering Large Numbers
Rounding and Estimation
Rounding to Nearest 10, 100, 1,000 and 10,000
Estimation in Context
Negative Numbers in Context
Introducing Negative Numbers: Thermometer in NI Winter
Ordering Negative Numbers
Number Lines Through Zero: Counting up Across Zero
Real-life Negatives: Lift Floors, Bank Balances, Sea Level
Sequences, Multi-step Problems and Consolidation
Number Sequences and Rules
Multi-step Problems Combining Place Value, Rounding and Negatives
Module 1 Mixed Practice
Open Consolidation: Module 1 Flex

Build P6 fluency in the four operations on whole numbers. Formal long multiplication of 2-digit × 2-digit numbers; introduction to long division (3-digit ÷ 2-digit); multiples and factors; prime and square numbers; order of operations with brackets; function machines and growing patterns.

Mental and Column Arithmetic
Mental Addition and Subtraction with Large Numbers
Column Addition and Subtraction with Large Numbers
Mental Multiplication with Round Numbers
Long Multiplication
Long Multiplication: 2-digit × 2-digit (Introducing the Formal Method)
Long Multiplication: 3-digit × 2-digit
Long Multiplication: Error Spotting and Estimation Check
Division (Short and Long)
Short Division: 3-digit ÷ Single-digit (Consolidating P5)
Introducing Long Division: 3-digit ÷ 2-digit
Interpreting Remainders in Division Problems
Multiples, Factors, Primes and Squares
Multiples and Common Multiples
Factors and Common Factors
Prime Numbers: Numbers with Exactly Two Factors
Square Numbers
Order of Operations, Problems, and Patterns
Order of Operations: × and ÷ Outrank + and −
Multi-step Word Problems Combining Four Operations
Function Machines: Input and Output Rules
Patterns from Sequences and Shape
Module 2 Consolidation: Four-ops Mixed Practice

P6's biggest module. Vulgar fractions equivalence and same-denominator addition / subtraction; decimal fractions to 1 decimal place including +, −, × and ÷ by a single-digit whole; percentages introduced via 50%, 25%, 10%; early linking of fractions, decimals and percentages.

Vulgar Fractions: Equivalence and Operations
Equivalent Fractions: Formal Procedure
Simplifying Fractions
Comparing and Ordering Fractions
Adding Fractions with Same Denominator
Subtracting Fractions with Same Denominator
Fractions of Larger Quantities
Decimal Fractions to 1 Decimal Place
Decimal Place Value to 1 Decimal Place
Decimals on a Number Line
Adding and Subtracting Decimals to 1 Dp
Multiplying Decimals by a Single-digit Whole Number
Dividing Decimals by a Single-digit Whole Number
Multiplying and Dividing Decimals by 10
Percentages and FDP Links
Percentages: What Does % Mean?
Percentages of Quantities: 50%, 25%, 10%
Linking Fractions, Decimals and Percentages: 1/2 = 0.5 = 50%
Real-life Percentages: Battery, Sale Signs, Weather, Sports
FDP Consolidation
Multi-step Word Problems: Fractions, Decimals, Percentages Mixed
Module 3 Consolidation: FDP Mixed Practice

Full four-op fluency on pounds and pence (linking the decimal work from Module 3); the Euro at full P6 depth (NI cross-border context with the £1≈€1.20 rule); budgeting with multiple constraints; value-for-money problems with three or more options; saving for a goal.

Pounds and Pence: Arithmetic, Budgeting, Value
Pounds and Pence: Full Four Operations
Budgeting with Multiple Constraints
Value for Money: Comparing 3+ Options
Saving for a Goal: Calendar and Money Combined
Euro and Cross-border Money
The Euro: Currency, Where Used, What It Looks Like
Foreign-currency Word Problems: a Cross-border Trip
Cross-border Price Comparison: Same Item, Two Countries
Module 4 Consolidation: Money Mixed Practice

Extend P5 measures with decimal unit conversion (2.5 m → 250 cm, 1.5 kg → 1500 g, 1.5 L → 1500 ml); perimeter of composite shapes; area of rectangles and right-angled triangles; area of composite shapes; volume of cuboids by counting unit cubes; estimation benchmarks; refined scale reading; negative-temperature intervals; outdoor measures.

Decimal Unit Conversion
Decimal Unit Conversion: Length (M and Cm)
Decimal Unit Conversion: Weight (Kg and G)
Decimal Unit Conversion: Capacity (L and Ml)
Perimeter and Area
Perimeter of Composite Shapes
Area of Rectangles: Formula L × W
Area of Right-angled Triangles
Area of Composite Shapes
Volume of Cuboids
Volume of Cuboids: Counting Unit Cubes
Estimation, Scales, Word Problems and Outdoors
Estimating Measures: Sensible Answers
Reading Scales: Refining Accuracy
Measures Word Problems: Multi-step with Conversion
Negative Temperatures: Interval Problems
Outdoor Measures: Playground Survey with Conversion
Module 5 Consolidation: Measures Mixed Practice

Introduce the 24-hour clock (afternoon and evening hours as 13:00 to 23:00); time intervals across hour and day boundaries; reading realistic Translink timetables in 24-hour format; calendar and date arithmetic; introductory scale on simple NI maps; combining scale and the eight-point compass to describe a route.

The 24-hour Clock and Timetables
The 24-hour Clock: Afternoon Hours as 13:00 to 23:00
Time Intervals Across Hour and Day Boundaries
Reading Translink Train Timetables (24-hour)
Calendar and Date Arithmetic
Scale on Simple Maps
Scale on Simple Maps: 1 Cm = 5 Km
Scale and Direction Combined: a Route Across NI
Module 6 Consolidation: Time and Maps Mixed Practice
Open Consolidation: Modules 5-6 Flex

Classify 2D shapes; line symmetry with multiple axes; introduce rotational symmetry; tessellation; congruence (lightly); nets of cuboids; angle types (acute, right, obtuse, straight); measuring and drawing angles to 180° with a protractor; first-quadrant coordinates; plotting shapes from coordinates; the eight-point compass.

2D Shapes, Symmetry, Tessellation and Congruence
Classifying 2D Shapes by Properties
Line Symmetry: Multiple Axes
Rotational Symmetry: Order of Rotation
Tessellation: Shapes That Tile Without Gaps
Congruence: Same Shape and Size
3D Shapes and Nets
3D Shapes and Their Nets
Angles to 180°
Angles: Recognising and Naming (Acute, Obtuse, Right, Straight)
Measuring Angles with a Protractor: up to 180°
Drawing Angles with a Protractor: up to 180°
Coordinates and Compass
Coordinates: the First Quadrant
Plotting Shapes on the Coordinate Grid: Paired Plotting
Eight Points of the Compass: N, NE, E, SE, S, SW, W, NW
Module 7 Consolidation: Shape and Space Mixed Practice
Outdoor Shape and Coordinates: Playground Grid

Frequency tables on bigger datasets; grouped frequency tables; introduce range (biggest minus smallest); introduce the mean (sum ÷ count) as one of P6's biggest new data-handling ideas; combine mean and range to describe a dataset; bar charts on larger scales; line graphs for change over time; pie chart awareness (read, don't construct); comparing chart types; light spreadsheet / database awareness; end-to-end survey including paired data-collection (P6 pair-share #3).

Frequency Tables: Simple and Grouped
Revisiting Frequency Tables: Bigger Datasets
Grouped Frequency Tables: When Data Has Many Distinct Values
The Mean and Range
Range: the Spread of a Dataset
Introducing the Mean: What Does 'Average' Really Mean?
Mean and Range Together: Describing a Dataset
Charts and Chart-choice
Drawing and Reading Bar Charts: Bigger Scales
Line Graphs: Change Over Time
Pie Chart Awareness: What a Pie Chart Shows
Comparing Charts: Same Data, Different Representations
Spreadsheets and End-to-end Data Handling
Spreadsheets: Data in a Grid of Rows and Columns
Data-handling End-to-end: Survey to Chart with Mean
Paired Data-collection: Two Pupils, One Question
Module 8 Consolidation: Data Handling Mixed Practice
Open Consolidation: Module 8 Flex

Re-anchor P5 probability language (certain, possible, impossible, likely, unlikely); introduce 'evens' as exactly 50-50; comparative idea (more / less likely than evens); order events on a probability line; outcomes of simple games of chance; experimental probability with many trials; probability in NI life (weather, sports); prediction from setup; end-of-year five-strand consolidation and reflection.

Probability Language and the 'Evens' Idea
Probability Language: Re-anchoring from P5
The 'Evens' Idea
More Likely Than Evens; Less Likely Than Evens
Ordering Events on a Probability Line
Games of Chance and Predicting Outcomes
Simple Games of Chance: Outcomes and Likelihood
Experimental Probability: Many Trials and Expected Counts
Probability in NI Life: Weather, Sports, News
Predicting Outcomes: Combining Knowledge of Evens and Bias
End-of-year Consolidation and Reflection
Module 9 Consolidation: Probability Mixed Practice
End-of-year Mixed Practice: Five-strand Consolidation
End-of-year Reflection: P6 Reviewed, P7 Previewed
Open Consolidation: Final Flex Lesson

What Students Will Learn

Learning Goals

  1. Develop deep understanding of place value to 1,000,000 and apply it to read, write, compare, order and round large numbers in real Northern Ireland contexts
  2. Build fluency in mental and written methods for all four operations, including long multiplication and division, while interpreting remainders and applying order of operations
  3. Master equivalence, comparison, addition and subtraction of fractions, alongside decimal and percentage work to one decimal place, and confidently convert between the three forms
  4. Use money, measures and time skills to solve practical problems involving budgeting, unit conversion, perimeter, area, volume, 24-hour timetables and map scales
  5. Analyse and interpret data through frequency tables, mean, range, charts and spreadsheets, while developing secure understanding of probability language, evens, bias and experimental outcomes

Learning Outcomes

  1. Read, write and compare numbers up to 1,000,000, identifying the value of each digit and using the million comma correctly.
  2. Round whole numbers to the nearest 10, 100, 1,000 or 10,000 and use appropriate rounding for estimation in real-life contexts such as populations, distances and event attendance.
  3. Order positive and negative numbers, including temperatures and bank balances, and count across zero on a number line.
  4. Perform long multiplication (up to 3-digit × 2-digit), long division (3-digit ÷ 2-digit), and apply BIDMAS to multi-step calculations involving the four operations.
  5. Recognise multiples, factors, primes and square numbers, and use them to find LCM, HCF and solve related problems.
  6. Work fluently with equivalent fractions, add and subtract fractions with the same denominator, and calculate fractions of quantities.
  7. Add, subtract, multiply and divide decimals to one decimal place, including multiplying and dividing by 10, and link common fractions, decimals and percentages.
  8. Solve money problems involving pounds and euros, including budgeting, value-for-money comparisons and currency conversion.
  9. Convert between metric units of length, mass and capacity using decimals, calculate the perimeter and area of composite shapes, and find the volume of cuboids by counting unit cubes.
  10. Read and interpret 24-hour timetables, calculate time intervals across hour and day boundaries, and use map scales to calculate real distances.
  11. Classify 2D and 3D shapes, identify lines of symmetry and order of rotational symmetry, measure and draw angles up to 180°, and plot and read coordinates in the first quadrant.
  12. Construct and interpret frequency tables, calculate the mean and range of a dataset, read bar charts and line graphs, and use simple spreadsheets to total and sort data.
  13. Use probability language including certain, likely, evens, unlikely and impossible, and predict outcomes in simple games of chance and real-life NI contexts.

What You'll Need

Student Devices

Students will need one of these devices. Students can share in groups of 2-3 if necessary.

Chromebook/Laptop/PC
Chromebook/Laptop/PC
IWB/Projector/Large Screen
IWB/Projector/Large Screen
Required Equipment

Equipment used in some of the lessons in this course. Items can be shared among students.

IWB/Projector/Large Screen
IWB/Projector/Large Screen

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