Maths for P7

Maths for P7

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This course delivers the complete Northern Ireland P7 Mathematics curriculum, covering all five CCEA strands: Number, Measures, Shape and Space, Handling Data, and Processes in Mathematics. Pupils master place value to ten million, negative numbers on thermometers, BIDMAS, long multiplication and division, vulgar fractions, decimals, percentages, money and value-for-money calculations, metric conversions, perimeter, area, volume, symmetry, angles, coordinates, data representation, probability language, and open-ended investigations. Local NI contexts such as Translink timetables, winter temperatures, Belfast maps and Titanic Belfast problems ensure relevance. Consolidation lessons and transfer-test-style practice prepare pupils thoroughly for post-primary transition.
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Anchor place-value reasoning to ten million, large-number ordering, estimation and rounding, negative numbers in NI temperature and sea-level contexts, and a first walk through BIDMAS. The first phase of autumn-term Number consolidation supporting AQE/GL transfer-test preparation whilst honouring CCEA's broader Number framing.

Place Value to Ten Million
Place Value to Ten Million: Reading and Writing Seven-digit Numbers
Determining the Value of Each Digit
Comparing Two Seven-digit Numbers
Ordering a Set of Large Numbers
Rounding, Estimation and Negative Numbers
Rounding to 10, 100 and 1,000
Estimation and Approximation in Context
Negative Numbers in NI Winter Temperatures
Number Lines Through Zero
Calculating Intervals Across Zero in Real Contexts
Order of Operations and Multi-step Problems
Order of Operations: BIDMAS Introduction
Multi-step Number Problems Combining Place Value, Rounding and Negatives
Module 1 Consolidation: Transfer-test-style Place-value Practice

End-of-KS2 fluency in formal written methods (long multiplication, short and long division), mental strategies for large numbers, multiples / factors / primes / squares / cubes, BIDMAS consolidation, and multi-step word problems. The second phase of autumn-term transfer-test preparation.

Mental Strategies for the Four Operations
Mental Addition and Subtraction with Large Numbers
Mental Multiplication and Division with Large Numbers
Long Multiplication
Long Multiplication Setup: 3-digit by 2-digit
Long Multiplication: 4-digit by 2-digit
Long Multiplication: Error Spotting and Estimation Check
Long Multiplication: 4-digit by 2-digit
Division: Short and Long Methods
Short Division: 4-digit ÷ Single-digit
Long Division: 4-digit ÷ 2-digit Setup
Long Division: Interpreting Remainders
Short Versus Long Division: When to Use Which
Patterns, Order of Operations and Mixed Problems
Multiples, Factors, Common Multiples and Common Factors
Prime, Square and Cube Numbers
Order of Operations: Single-step BIDMAS Recap
Order of Operations: Multi-step Problems with Brackets
Multi-step Word Problems: Addition and Subtraction
Multi-step Word Problems: Multiplication and Division
Module 2 Consolidation: Transfer-test-style Arithmetic Mixed Practice

P7's biggest single module — vulgar fractions (simplifying, equivalence, comparing, ordering, four operations), decimal fractions (place value to 2 dp, ×/÷ by 10 and 100, +/− to 2 dp, × and ÷ by whole numbers), percentages, and the full FDP equivalence triangle.

Vulgar Fractions: Foundations
Vulgar Fractions: Language, Notation and Simplifying
Equivalent Fractions
Comparing and Ordering Fractions
Operations with Fractions
Adding Fractions: Same Then Different Denominators
Subtracting Fractions with Different Denominators
Adding and Subtracting Mixed Numbers
Multiplying Proper Fractions: Concept First
Multiplying Proper Fractions: Procedure and Simplifying
Dividing Proper Fractions by Whole Numbers
Decimal Fractions
Decimal Place Value to Two Decimal Places
Multiplying and Dividing Decimals by 10 and 100
Adding and Subtracting Decimals to Two Decimal Places
Multiplying Decimals by Whole Numbers
Dividing Decimals by Whole Numbers
Rounding Decimals
FDP Equivalence and Percentages of Quantities
Vulgar Fractions and Decimal Fractions: the Conversion
Decimal Fractions and Percentages
The Full FDP Equivalence Triangle
Finding Fractions, Decimals and Percentages of Quantities
Module 3 Consolidation: FDP Mixed Practice

CCEA's Money element under the Number strand. Pupils consolidate £ + p arithmetic, plan and budget, recognise best buys, explore foreign currency including the Euro (cross-border NI context), and understand ways of paying for goods safely.

Money Operations
Adding and Subtracting Money Problems
Multiplying and Dividing Money Problems
Multi-step Money Problems
Best Buys, Budgeting, Foreign Currency and Payment
Best Buys and Value for Money
Saving and Budgeting
Foreign Currency Including the Euro: Cross-border Shopping
Ways of Paying for Goods: Cash, Cheque, Card, Online
Module 4 Consolidation: Money Mixed Practice

Estimation of length, weight, capacity, area and temperature; reading scales accurately; metric conversion across length / weight / capacity; perimeter, area (including triangles and composite shapes) and volume of cubes and cuboids.

Estimation, Reading Scales and Metric Conversion
Estimating Length, Weight, Capacity, Area and Temperature
Reading Scales Accurately
Converting Metric Units of Length
Converting Metric Units of Weight
Converting Metric Units of Capacity
Perimeter and Area
Perimeter of Rectangles and Composite Shapes
Area of Rectangles
Area of Right-angled Triangles
Area of Composite Shapes
Same Area, Different Perimeters
Same Perimeter, Different Areas
Volume and Consolidation
Volume of Cubes and Cuboids in Cm³
Estimating and Comparing Volumes in Cm³ and M³
Module 5 Consolidation: Measures Mixed Practice

Reading 12 and 24-hour clocks and the relationship between them; reading Translink rail and bus timetables; elapsed-time problems; understanding scale on simple maps and scale drawings.

Time and Timetables
12-hour and 24-hour Clock Conversion
Reading Timetables: Translink Bus and Rail
Elapsed Time Calculations
Time Problems Including Duration in Mixed Contexts
Scale and Maps
Scale on Simple Maps: a Local Map of Belfast or Antrim
Scale Drawings: Classroom Plan
Using Scale to Calculate Actual Distances
Module 6 Consolidation: Time and Scale Mixed Practice

Properties of 2D and 3D shapes including nets; line and rotational symmetry; tessellation; reflection in a line; angles to 360° with a protractor; angles in triangles and quadrilaterals; first-quadrant coordinates; and the eight points of the compass.

2D and 3D Shape Properties
Properties of 2D Shapes Including Quadrilaterals
Properties of 3D Shapes: Faces, Edges, Vertices
Nets of 3D Shapes
Properties of 2D Shapes Including Quadrilaterals
Symmetry, Tessellation and Reflection
Line Symmetry and Multiple Lines of Symmetry
Rotational Symmetry
Tessellation: Tiling Without Gaps
Reflecting Shapes in a Line
Angles
Angles: Acute, Obtuse, Reflex, Straight, Right
Measuring and Drawing Angles to 360° with a Protractor
Angles in Triangles: Sum Is 180°
Angles in Quadrilaterals: Sum Is 360°
Coordinates and the Compass
Coordinates in the First Quadrant
The Eight Points of the Compass
Module 7 Consolidation: Shape and Space Mixed Practice

Designing data collection sheets, tallying and frequency tables (including grouped data), reading and constructing pictograms, bar charts, line graphs and pie charts, and calculating the mean and range of discrete data.

Collecting and Representing Data
Collecting Data with Tally and Frequency Tables
Frequency Tables for Grouped Data
Pictograms and Bar Charts
Line Graphs
Pie Charts: Reading and Interpreting
Summary Statistics: Mean and Range
Mean of a Set of Discrete Data
Range of a Set of Discrete Data
Module 8 Consolidation: Data Handling Mixed Practice

CCEA's Introduction to Probability element — language of probability, possible outcomes of random events, and placing events in order of likelihood including using 'evens' as a halfway mark.

The Language of Probability
Possible Outcomes of Simple Random Events
Placing Events in Order of Likelihood
Module 9 Consolidation: Probability Mixed Practice

Post-Easter / summer-term module. Targeted retrospective transfer-test revision for pupils still working toward post-primary readiness, broader CCEA KS2 consolidation including Processes-in-Mathematics work (investigations, modelling, trails), and a transition-to-post-primary reflection at the end of the school year.

Transfer-test Retrospective and Number Revision
Transfer-test Format and Strategy: Retrospective and Forward-looking
Transfer-test Arithmetic Practice: Number Focus
Transfer-test Arithmetic: Vulgar Fractions and Decimal Fractions
Transfer-test Arithmetic: Money and Percentages
Word Problems Across Strands and Levels of Progression
Transfer-test Word Problems: Measures Focus
Transfer-test Word Problems: Shape and Space Focus
Transfer-test Multi-step Problems: Combining Strands
CCEA Levels of Progression: Level 4 / Level 5 Sample Tasks
Mixed-strand Revision and Transition to Post-primary
Mixed-strand Revision: Number Focus
Mixed-strand Revision: Measures Focus
Mixed-strand Revision: Shape and Space Focus
Mixed-strand Revision: Handling Data Focus
Open-ended Investigations: Processes in Mathematics
Maths Trail Through the School Environment
Cross-curricular Maths Application: Real-world Project
End-of-p7 Review and Reflection: Preparing for Post-primary

Anchor place-value reasoning to ten million, large-number ordering, estimation and rounding, negative numbers in NI temperature and sea-level contexts, and a first walk through BIDMAS. The first phase of autumn-term Number consolidation supporting AQE/GL transfer-test preparation whilst honouring CCEA's broader Number framing.

Place Value to Ten Million
Place Value to Ten Million: Reading and Writing Seven-digit Numbers
Determining the Value of Each Digit
Comparing Two Seven-digit Numbers
Ordering a Set of Large Numbers
Rounding, Estimation and Negative Numbers
Rounding to 10, 100 and 1,000
Estimation and Approximation in Context
Negative Numbers in NI Winter Temperatures
Number Lines Through Zero
Calculating Intervals Across Zero in Real Contexts
Order of Operations and Multi-step Problems
Order of Operations: BIDMAS Introduction
Multi-step Number Problems Combining Place Value, Rounding and Negatives
Module 1 Consolidation: Transfer-test-style Place-value Practice

End-of-KS2 fluency in formal written methods (long multiplication, short and long division), mental strategies for large numbers, multiples / factors / primes / squares / cubes, BIDMAS consolidation, and multi-step word problems. The second phase of autumn-term transfer-test preparation.

Mental Strategies for the Four Operations
Mental Addition and Subtraction with Large Numbers
Mental Multiplication and Division with Large Numbers
Long Multiplication
Long Multiplication Setup: 3-digit by 2-digit
Long Multiplication: 4-digit by 2-digit
Long Multiplication: Error Spotting and Estimation Check
Long Multiplication: 4-digit by 2-digit
Division: Short and Long Methods
Short Division: 4-digit ÷ Single-digit
Long Division: 4-digit ÷ 2-digit Setup
Long Division: Interpreting Remainders
Short Versus Long Division: When to Use Which
Patterns, Order of Operations and Mixed Problems
Multiples, Factors, Common Multiples and Common Factors
Prime, Square and Cube Numbers
Order of Operations: Single-step BIDMAS Recap
Order of Operations: Multi-step Problems with Brackets
Multi-step Word Problems: Addition and Subtraction
Multi-step Word Problems: Multiplication and Division
Module 2 Consolidation: Transfer-test-style Arithmetic Mixed Practice

P7's biggest single module — vulgar fractions (simplifying, equivalence, comparing, ordering, four operations), decimal fractions (place value to 2 dp, ×/÷ by 10 and 100, +/− to 2 dp, × and ÷ by whole numbers), percentages, and the full FDP equivalence triangle.

Vulgar Fractions: Foundations
Vulgar Fractions: Language, Notation and Simplifying
Equivalent Fractions
Comparing and Ordering Fractions
Operations with Fractions
Adding Fractions: Same Then Different Denominators
Subtracting Fractions with Different Denominators
Adding and Subtracting Mixed Numbers
Multiplying Proper Fractions: Concept First
Multiplying Proper Fractions: Procedure and Simplifying
Dividing Proper Fractions by Whole Numbers
Decimal Fractions
Decimal Place Value to Two Decimal Places
Multiplying and Dividing Decimals by 10 and 100
Adding and Subtracting Decimals to Two Decimal Places
Multiplying Decimals by Whole Numbers
Dividing Decimals by Whole Numbers
Rounding Decimals
FDP Equivalence and Percentages of Quantities
Vulgar Fractions and Decimal Fractions: the Conversion
Decimal Fractions and Percentages
The Full FDP Equivalence Triangle
Finding Fractions, Decimals and Percentages of Quantities
Module 3 Consolidation: FDP Mixed Practice

CCEA's Money element under the Number strand. Pupils consolidate £ + p arithmetic, plan and budget, recognise best buys, explore foreign currency including the Euro (cross-border NI context), and understand ways of paying for goods safely.

Money Operations
Adding and Subtracting Money Problems
Multiplying and Dividing Money Problems
Multi-step Money Problems
Best Buys, Budgeting, Foreign Currency and Payment
Best Buys and Value for Money
Saving and Budgeting
Foreign Currency Including the Euro: Cross-border Shopping
Ways of Paying for Goods: Cash, Cheque, Card, Online
Module 4 Consolidation: Money Mixed Practice

Estimation of length, weight, capacity, area and temperature; reading scales accurately; metric conversion across length / weight / capacity; perimeter, area (including triangles and composite shapes) and volume of cubes and cuboids.

Estimation, Reading Scales and Metric Conversion
Estimating Length, Weight, Capacity, Area and Temperature
Reading Scales Accurately
Converting Metric Units of Length
Converting Metric Units of Weight
Converting Metric Units of Capacity
Perimeter and Area
Perimeter of Rectangles and Composite Shapes
Area of Rectangles
Area of Right-angled Triangles
Area of Composite Shapes
Same Area, Different Perimeters
Same Perimeter, Different Areas
Volume and Consolidation
Volume of Cubes and Cuboids in Cm³
Estimating and Comparing Volumes in Cm³ and M³
Module 5 Consolidation: Measures Mixed Practice

Reading 12 and 24-hour clocks and the relationship between them; reading Translink rail and bus timetables; elapsed-time problems; understanding scale on simple maps and scale drawings.

Time and Timetables
12-hour and 24-hour Clock Conversion
Reading Timetables: Translink Bus and Rail
Elapsed Time Calculations
Time Problems Including Duration in Mixed Contexts
Scale and Maps
Scale on Simple Maps: a Local Map of Belfast or Antrim
Scale Drawings: Classroom Plan
Using Scale to Calculate Actual Distances
Module 6 Consolidation: Time and Scale Mixed Practice

Properties of 2D and 3D shapes including nets; line and rotational symmetry; tessellation; reflection in a line; angles to 360° with a protractor; angles in triangles and quadrilaterals; first-quadrant coordinates; and the eight points of the compass.

2D and 3D Shape Properties
Properties of 2D Shapes Including Quadrilaterals
Properties of 3D Shapes: Faces, Edges, Vertices
Nets of 3D Shapes
Properties of 2D Shapes Including Quadrilaterals
Symmetry, Tessellation and Reflection
Line Symmetry and Multiple Lines of Symmetry
Rotational Symmetry
Tessellation: Tiling Without Gaps
Reflecting Shapes in a Line
Angles
Angles: Acute, Obtuse, Reflex, Straight, Right
Measuring and Drawing Angles to 360° with a Protractor
Angles in Triangles: Sum Is 180°
Angles in Quadrilaterals: Sum Is 360°
Coordinates and the Compass
Coordinates in the First Quadrant
The Eight Points of the Compass
Module 7 Consolidation: Shape and Space Mixed Practice

Designing data collection sheets, tallying and frequency tables (including grouped data), reading and constructing pictograms, bar charts, line graphs and pie charts, and calculating the mean and range of discrete data.

Collecting and Representing Data
Collecting Data with Tally and Frequency Tables
Frequency Tables for Grouped Data
Pictograms and Bar Charts
Line Graphs
Pie Charts: Reading and Interpreting
Summary Statistics: Mean and Range
Mean of a Set of Discrete Data
Range of a Set of Discrete Data
Module 8 Consolidation: Data Handling Mixed Practice

CCEA's Introduction to Probability element — language of probability, possible outcomes of random events, and placing events in order of likelihood including using 'evens' as a halfway mark.

The Language of Probability
Possible Outcomes of Simple Random Events
Placing Events in Order of Likelihood
Module 9 Consolidation: Probability Mixed Practice

Post-Easter / summer-term module. Targeted retrospective transfer-test revision for pupils still working toward post-primary readiness, broader CCEA KS2 consolidation including Processes-in-Mathematics work (investigations, modelling, trails), and a transition-to-post-primary reflection at the end of the school year.

Transfer-test Retrospective and Number Revision
Transfer-test Format and Strategy: Retrospective and Forward-looking
Transfer-test Arithmetic Practice: Number Focus
Transfer-test Arithmetic: Vulgar Fractions and Decimal Fractions
Transfer-test Arithmetic: Money and Percentages
Word Problems Across Strands and Levels of Progression
Transfer-test Word Problems: Measures Focus
Transfer-test Word Problems: Shape and Space Focus
Transfer-test Multi-step Problems: Combining Strands
CCEA Levels of Progression: Level 4 / Level 5 Sample Tasks
Mixed-strand Revision and Transition to Post-primary
Mixed-strand Revision: Number Focus
Mixed-strand Revision: Measures Focus
Mixed-strand Revision: Shape and Space Focus
Mixed-strand Revision: Handling Data Focus
Open-ended Investigations: Processes in Mathematics
Maths Trail Through the School Environment
Cross-curricular Maths Application: Real-world Project
End-of-p7 Review and Reflection: Preparing for Post-primary

Curriculum Mapping

See exactly how this course maps to official curriculum specifications

CCEA Primary Mathematics Northern Ireland
Curriculum Area
Outcomes
Processes in Mathematics
Making and Monitoring Decisions
PROC.MMD.KS2.1 PROC.MMD.KS2.2 PROC.MMD.KS2.3 PROC.MMD.KS2.4
Communicating Mathematically
PROC.COM.KS2.1 PROC.COM.KS2.2 PROC.COM.KS2.3 PROC.COM.KS2.4
Mathematical Reasoning
PROC.REA.KS2.1 PROC.REA.KS2.2 PROC.REA.KS2.3 PROC.REA.KS2.4
Number
Understanding Number and Number Notation
NUM.UND.KS2.1 NUM.UND.KS2.2 NUM.UND.KS2.3 NUM.UND.KS2.4 NUM.UND.KS2.5
Patterns, Relationships and Sequences in Number
NUM.PRS.KS2.1 NUM.PRS.KS2.2 NUM.PRS.KS2.3 NUM.PRS.KS2.4
Operations and their Applications
NUM.OPS.KS2.1 NUM.OPS.KS2.2 NUM.OPS.KS2.3
Money
NUM.MON.KS2.1 NUM.MON.KS2.2 NUM.MON.KS2.3 NUM.MON.KS2.4
Measures
MEA.KS2.1 MEA.KS2.2 MEA.KS2.3 MEA.KS2.4 MEA.KS2.5 MEA.KS2.6
Shape and Space
Exploration of Shape
SHA.EXP.KS2.1 SHA.EXP.KS2.2
Position, Movement and Direction
SHA.PMD.KS2.1 SHA.PMD.KS2.2 SHA.PMD.KS2.3
Handling Data
Collecting, Representing and Interpreting Data
DAT.CRI.KS2.1 DAT.CRI.KS2.2 DAT.CRI.KS2.3 DAT.CRI.KS2.4 DAT.CRI.KS2.5
Introduction to Probability
DAT.PROB.KS2.1 DAT.PROB.KS2.2 DAT.PROB.KS2.3

The curriculum does not include official reference codes for individual learning outcomes, so we have assigned a code scheme to make it easier to identify and track coverage.

What Students Will Learn

Learning Goals

  1. Develop deep understanding of place value in numbers up to ten million, including reading, writing, comparing, ordering and determining the value of each digit.
  2. Master mental and written methods for all four operations with large numbers, including long multiplication, short and long division, and correct use of BIDMAS.
  3. Work confidently with negative numbers in context, using vertical number lines to compare temperatures and calculate intervals across zero.
  4. Build fluency in fractions, decimals and percentages, including equivalence, all four operations with fractions, decimal arithmetic and solving FDP problems.
  5. Apply mathematical knowledge to solve multi-step problems involving money, measures, shape, data and real-life Northern Irish contexts.

Learning Outcomes

**Learning Outcomes**
  1. Read and write seven-digit numbers up to 10,000,000 using correct place-value columns and commas to group digits in threes.
  2. Identify the value of each digit in a seven-digit number, including the role of zero as a place holder.
  3. Compare and order sets of seven-digit numbers, including those of different lengths, using digit-by-digit comparison and place-value alignment.
  4. Round whole numbers to the nearest 10, 100 or 1,000 using the digit-to-the-right rule and apply sensible rounding in real Northern Ireland contexts.
  5. Read, interpret and compare negative numbers on a vertical number line in the context of Northern Irish winter temperatures.

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
iPad/Tablet
iPad/Tablet
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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