A complete year of P5 maths for an NI class teacher, aligned to the CCEA Primary Mathematics and Numeracy curriculum at Key Stage 2 entry-level depth. 120 fifty-minute lessons, banded into 9 strand-coherent modules, each lesson paired with an activity-book page for in-class seat-work. Whole-number place value to 10,000, fluent mental and written four operations, introductory vulgar fractions, money in pounds and pence, metric measures and conversion, 2D and 3D shape, line symmetry, right angles, simple bar charts and pictograms, and the language of probability. Decimals, negatives, percentages, coordinates and the mean are deferred to P6.
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Anchor whole-number place value to 10,000 (the KS2 entry-year ceiling). Read, write, order and round whole numbers; estimate appropriately in context; identify the value of each digit; recognise even and odd numbers and simple sequences of whole numbers. Foundation for every subsequent module.

Place Value to 10,000
Place Value to 1,000: Re-anchoring from P4
Place Value to 10,000: Adding the Ten-thousands Column
Determining the Value of Each Digit
Comparing and Ordering Whole Numbers
Comparing Two 4-digit Numbers
Ordering a Set of 4-digit Numbers
Rounding Whole Numbers
Rounding to the Nearest 10
Rounding to the Nearest 100
Rounding to the Nearest 1,000
Estimation and Approximation in Context
Number Sequences, Even and Odd, Words and Figures
Number Sequences: Counting on and Back in Steps
Even and Odd Numbers
Reading and Writing Numbers in Words and Figures
Multi-step Problems and Module Consolidation
Multi-step Number Problems Combining Place Value and Rounding
Module 1 Consolidation: Place Value Mixed Practice

Build P5 fluency in the four operations on whole numbers: mental strategies for addition and subtraction, secure recall of multiplication facts up to 10 by 10 (focus on 6, 7, 8, 9 tables), written column addition and subtraction with up to 4 digits, short multiplication, short division with and without remainders, multiples and factors of small numbers, brackets in simple expressions.

Mental Addition and Subtraction
Mental Addition with Bonds to 100 and 1,000
Mental Subtraction: Counting up Across a Tens Boundary
Column Addition and Subtraction with up to 4 Digits
Column Addition with 4-digit Numbers
Column Subtraction with 4-digit Numbers (No Borrow)
Column Subtraction with 4-digit Numbers (with Borrowing)
Times Tables and Short Multiplication
Times-tables Refresh: 6, 7, 8, 9
Short Multiplication: 2-digit by 1-digit
Short Multiplication: 3-digit by 1-digit
Short Division and Remainders
Short Division: 2-digit by 1-digit (No Remainders)
Short Division: 3-digit by 1-digit (No Remainders)
Short Division with Remainders
Interpreting Remainders in Word Problems
Multiples and Factors
Multiples of Small Numbers
Factors of Small Numbers
Word Problems, Brackets and Consolidation
Word Problems: Addition and Subtraction with Whole Numbers
Word Problems: Multiplication and Division with Whole Numbers
Brackets in Simple Expressions
Module 2 Consolidation: Four-operations Mixed Practice

Pupils' first proper KS2 introduction to vulgar fractions: halves, quarters, eighths, thirds, sixths, fifths, tenths. Fractions of shapes and of sets; comparison of fractions with the same denominator and unit fractions with different denominators; simple visual equivalence; mixed numbers. Operations on fractions and decimal/percentage equivalents are deferred to P6.

Fraction Language and Shape-shading
Vulgar Fractions: Language and Notation
Halves, Quarters, Eighths
Thirds, Sixths
Fifths, Tenths
Fractions of a Set
Fractions of a Set: Half, Quarter, Third of a Number
Fractions of a Set: Non-unit Numerator
Comparing Fractions
Comparing Fractions with the Same Denominator
Comparing Unit Fractions with Different Denominators
Equivalent Fractions and Mixed Numbers
Simple Equivalent Fractions
Mixed Numbers: Fractions Bigger Than One
Real-world Fractions and Consolidation
Real-world Fractions: Food, Distance, Time
Module 3 Consolidation: Fractions Mixed Practice
Open Consolidation: Module 3 Review (Flex)

Money at P5: pounds-and-pence notation, four operations with money, simple budgeting, saving toward a goal, and the value-for-money idea. The Euro is named at KS2 and treated lightly at P5 in the cross-border-trip context; full Euro work is a P6/P7 topic.

Money Notation and Four Operations
Pounds and Pence: Notation and Value
Adding Amounts of Money
Subtracting Amounts of Money: Finding Change
Multiplying Money by a Whole Number
Dividing Money: Sharing a Cost
Budgeting, Saving and Value for Money
Budgeting: What Can I Afford?
Saving for a Goal
Value for Money: Same Item, Different Sizes
Foreign Currency and Consolidation
Foreign Currency: the Euro on a Cross-border Trip
Module 4 Consolidation: Money Mixed Practice

CCEA Measures strand at P5: estimation; reading rulers, scales and jugs; whole-number metric conversions (cm-m, g-kg, ml-L); perimeter of rectangles and irregular shapes; area by counting squares with the length-by-width shortcut for rectangles; reading temperature on a thermometer (above zero only). Decimal conversions, volume of cuboids and negative temperatures are deferred to P6.

Estimation and Reading Scales
Estimating Length, Weight, Capacity and Temperature
Reading Rulers in Mm and Cm
Reading Kitchen Scales and Measuring Jugs
Metric Conversion (Whole-number)
Converting Cm and M: Whole-number Cases
Converting G and Kg: Whole-number Cases
Converting Ml and L: Whole-number Cases
Perimeter and Area
Perimeter of Rectangles
Perimeter of Irregular and Composite Shapes
Area by Counting Squares
Area of Rectangles: the Length-by-width Shortcut
Perimeter and Area: Comparing
Real Measuring, Temperature and Word Problems
Measuring Real Objects in the Classroom
Reading Temperature on a Thermometer
Measures Word Problems
Module 5 Consolidation: Measures Mixed Practice
Outdoor Measures: Quick Playground Survey

Time at P5: analogue and digital 12-hour clocks; time intervals; calendar; reading a simple Translink bus or train timetable. Simple maps with the eight points of the compass. The 24-hour clock is a P6 topic.

Reading Clocks
Reading Analogue Clocks: O'clock, Quarter Past, Half Past, Quarter to
Reading Analogue Clocks to the Nearest 5 Minutes
Digital Time: 12-hour Format
Time Intervals, Calendar and Timetables
Time Intervals: Minutes and Hours
Calendar: Days, Weeks, Months
Reading Simple Timetables: Translink Bus or Train
Maps and Compass Directions
Eight Points of the Compass: N, NE, E, SE, S, SW, W, NW
Simple Maps with Directions: a Walk Around the School
Consolidation
Module 6 Consolidation: Time and Maps Mixed Practice
Open Consolidation: Modules 5-6 (Flex)

Naming and classifying 2D shapes (triangles, quadrilaterals, pentagon, hexagon, octagon) and 3D shapes (cube, cuboid, sphere, cylinder, cone, square-based pyramid, triangular prism); line symmetry by folding; faces, edges, vertices; recognising right angles in the environment; the language of turn (whole, half, quarter, three-quarter; clockwise / anti-clockwise); reinforcing eight-point compass directions. Rotational symmetry, tessellation, congruence and degree-measurement of angles are deferred to P6 and P7.

2D Shapes
Naming 2D Shapes: Triangle, Square, Rectangle, Pentagon, Hexagon, Octagon
Triangles: Equilateral, Isosceles, Scalene, Right-angled
Quadrilaterals: Square, Rectangle, Rhombus, Parallelogram, Trapezium
Line Symmetry
Line Symmetry
Line Symmetry: Completing a Shape
3D Shapes
Naming 3D Shapes
Faces, Edges, Vertices
Hidden-shape Pair-share: Guess What I'm Holding
Right Angles and Turn
Right Angles: Recognising Them in the Environment
The Language of Turn: Whole, Half, Quarter, Three-quarter; Clockwise and Anti-clockwise
Compass Directions and Turn: Combining Both Ideas
Shape Consolidation and Outdoor Application
Module 7 Consolidation: Shape and Space Mixed Practice
Outdoor Shape Hunt
Open Consolidation: Module 7 (Flex)

Pupils' first proper KS2 introduction to data handling. Collect data with a tally chart; build a frequency table; represent the same data with a pictogram (each picture stands for 1, 2 or 5) or a bar chart; read and create simple tables; choose between pictogram and bar chart; design a survey end-to-end. The mean, range, grouped frequency tables and spreadsheets are deferred to P6 and P7.

Tally Charts and Collecting Data
Tally Charts: Recording Data as Four-and-cross
Collecting Data: a Classroom Survey
Frequency Tables
Pictograms
Pictograms: One Picture, One Item
Pictograms: One Picture Stands for Many
Bar Charts
Simple Bar Charts: Reading Them
Simple Bar Charts: Drawing Them
Tables and Interpretation
Simple Tables: Rows and Columns
Interpreting Graphs: What Does the Picture Tell Us?
Choosing Between Pictogram and Bar Chart
Survey Design and Consolidation
Designing a Survey from Start to Finish
From Data to Chart: a Worked Example End-to-end
Module 8 Consolidation: Data Handling Mixed Practice
Cross-class Survey: a Paired Data-collection

P5 introduction to probability language: certain, impossible, possible, likely, unlikely, equally likely. Order events on a probability line in everyday-language terms; list outcomes of simple random events (coin, die, spinner); predict roughly what many trials would give. The numerical probability scale (0 to 1) and probability as a fraction are deferred to P6 and P7. The module closes with end-of-year consolidation and a look forward to P6.

The Language of Probability
Certain, Possible, Impossible
Likely, Unlikely
Equally Likely
Ordering Events by Likelihood
Ordering Events by Likelihood: the Probability Line
Probability in Real Life: Weather, Sports, Everyday
Simple Games of Chance
Simple Games of Chance: Dice and Spinners
Predicting Outcomes from Many Trials
The Vocabulary of Probability: Review
Year-end Consolidation and Looking Forward
Module 9 Consolidation: Probability Mixed Practice
End-of-year Mixed Practice: Five-strand Consolidation
Looking Forward to P6

Anchor whole-number place value to 10,000 (the KS2 entry-year ceiling). Read, write, order and round whole numbers; estimate appropriately in context; identify the value of each digit; recognise even and odd numbers and simple sequences of whole numbers. Foundation for every subsequent module.

Place Value to 10,000
Place Value to 1,000: Re-anchoring from P4
Place Value to 10,000: Adding the Ten-thousands Column
Determining the Value of Each Digit
Comparing and Ordering Whole Numbers
Comparing Two 4-digit Numbers
Ordering a Set of 4-digit Numbers
Rounding Whole Numbers
Rounding to the Nearest 10
Rounding to the Nearest 100
Rounding to the Nearest 1,000
Estimation and Approximation in Context
Number Sequences, Even and Odd, Words and Figures
Number Sequences: Counting on and Back in Steps
Even and Odd Numbers
Reading and Writing Numbers in Words and Figures
Multi-step Problems and Module Consolidation
Multi-step Number Problems Combining Place Value and Rounding
Module 1 Consolidation: Place Value Mixed Practice

Build P5 fluency in the four operations on whole numbers: mental strategies for addition and subtraction, secure recall of multiplication facts up to 10 by 10 (focus on 6, 7, 8, 9 tables), written column addition and subtraction with up to 4 digits, short multiplication, short division with and without remainders, multiples and factors of small numbers, brackets in simple expressions.

Mental Addition and Subtraction
Mental Addition with Bonds to 100 and 1,000
Mental Subtraction: Counting up Across a Tens Boundary
Column Addition and Subtraction with up to 4 Digits
Column Addition with 4-digit Numbers
Column Subtraction with 4-digit Numbers (No Borrow)
Column Subtraction with 4-digit Numbers (with Borrowing)
Times Tables and Short Multiplication
Times-tables Refresh: 6, 7, 8, 9
Short Multiplication: 2-digit by 1-digit
Short Multiplication: 3-digit by 1-digit
Short Division and Remainders
Short Division: 2-digit by 1-digit (No Remainders)
Short Division: 3-digit by 1-digit (No Remainders)
Short Division with Remainders
Interpreting Remainders in Word Problems
Multiples and Factors
Multiples of Small Numbers
Factors of Small Numbers
Word Problems, Brackets and Consolidation
Word Problems: Addition and Subtraction with Whole Numbers
Word Problems: Multiplication and Division with Whole Numbers
Brackets in Simple Expressions
Module 2 Consolidation: Four-operations Mixed Practice

Pupils' first proper KS2 introduction to vulgar fractions: halves, quarters, eighths, thirds, sixths, fifths, tenths. Fractions of shapes and of sets; comparison of fractions with the same denominator and unit fractions with different denominators; simple visual equivalence; mixed numbers. Operations on fractions and decimal/percentage equivalents are deferred to P6.

Fraction Language and Shape-shading
Vulgar Fractions: Language and Notation
Halves, Quarters, Eighths
Thirds, Sixths
Fifths, Tenths
Fractions of a Set
Fractions of a Set: Half, Quarter, Third of a Number
Fractions of a Set: Non-unit Numerator
Comparing Fractions
Comparing Fractions with the Same Denominator
Comparing Unit Fractions with Different Denominators
Equivalent Fractions and Mixed Numbers
Simple Equivalent Fractions
Mixed Numbers: Fractions Bigger Than One
Real-world Fractions and Consolidation
Real-world Fractions: Food, Distance, Time
Module 3 Consolidation: Fractions Mixed Practice
Open Consolidation: Module 3 Review (Flex)

Money at P5: pounds-and-pence notation, four operations with money, simple budgeting, saving toward a goal, and the value-for-money idea. The Euro is named at KS2 and treated lightly at P5 in the cross-border-trip context; full Euro work is a P6/P7 topic.

Money Notation and Four Operations
Pounds and Pence: Notation and Value
Adding Amounts of Money
Subtracting Amounts of Money: Finding Change
Multiplying Money by a Whole Number
Dividing Money: Sharing a Cost
Budgeting, Saving and Value for Money
Budgeting: What Can I Afford?
Saving for a Goal
Value for Money: Same Item, Different Sizes
Foreign Currency and Consolidation
Foreign Currency: the Euro on a Cross-border Trip
Module 4 Consolidation: Money Mixed Practice

CCEA Measures strand at P5: estimation; reading rulers, scales and jugs; whole-number metric conversions (cm-m, g-kg, ml-L); perimeter of rectangles and irregular shapes; area by counting squares with the length-by-width shortcut for rectangles; reading temperature on a thermometer (above zero only). Decimal conversions, volume of cuboids and negative temperatures are deferred to P6.

Estimation and Reading Scales
Estimating Length, Weight, Capacity and Temperature
Reading Rulers in Mm and Cm
Reading Kitchen Scales and Measuring Jugs
Metric Conversion (Whole-number)
Converting Cm and M: Whole-number Cases
Converting G and Kg: Whole-number Cases
Converting Ml and L: Whole-number Cases
Perimeter and Area
Perimeter of Rectangles
Perimeter of Irregular and Composite Shapes
Area by Counting Squares
Area of Rectangles: the Length-by-width Shortcut
Perimeter and Area: Comparing
Real Measuring, Temperature and Word Problems
Measuring Real Objects in the Classroom
Reading Temperature on a Thermometer
Measures Word Problems
Module 5 Consolidation: Measures Mixed Practice
Outdoor Measures: Quick Playground Survey

Time at P5: analogue and digital 12-hour clocks; time intervals; calendar; reading a simple Translink bus or train timetable. Simple maps with the eight points of the compass. The 24-hour clock is a P6 topic.

Reading Clocks
Reading Analogue Clocks: O'clock, Quarter Past, Half Past, Quarter to
Reading Analogue Clocks to the Nearest 5 Minutes
Digital Time: 12-hour Format
Time Intervals, Calendar and Timetables
Time Intervals: Minutes and Hours
Calendar: Days, Weeks, Months
Reading Simple Timetables: Translink Bus or Train
Maps and Compass Directions
Eight Points of the Compass: N, NE, E, SE, S, SW, W, NW
Simple Maps with Directions: a Walk Around the School
Consolidation
Module 6 Consolidation: Time and Maps Mixed Practice
Open Consolidation: Modules 5-6 (Flex)

Naming and classifying 2D shapes (triangles, quadrilaterals, pentagon, hexagon, octagon) and 3D shapes (cube, cuboid, sphere, cylinder, cone, square-based pyramid, triangular prism); line symmetry by folding; faces, edges, vertices; recognising right angles in the environment; the language of turn (whole, half, quarter, three-quarter; clockwise / anti-clockwise); reinforcing eight-point compass directions. Rotational symmetry, tessellation, congruence and degree-measurement of angles are deferred to P6 and P7.

2D Shapes
Naming 2D Shapes: Triangle, Square, Rectangle, Pentagon, Hexagon, Octagon
Triangles: Equilateral, Isosceles, Scalene, Right-angled
Quadrilaterals: Square, Rectangle, Rhombus, Parallelogram, Trapezium
Line Symmetry
Line Symmetry
Line Symmetry: Completing a Shape
3D Shapes
Naming 3D Shapes
Faces, Edges, Vertices
Hidden-shape Pair-share: Guess What I'm Holding
Right Angles and Turn
Right Angles: Recognising Them in the Environment
The Language of Turn: Whole, Half, Quarter, Three-quarter; Clockwise and Anti-clockwise
Compass Directions and Turn: Combining Both Ideas
Shape Consolidation and Outdoor Application
Module 7 Consolidation: Shape and Space Mixed Practice
Outdoor Shape Hunt
Open Consolidation: Module 7 (Flex)

Pupils' first proper KS2 introduction to data handling. Collect data with a tally chart; build a frequency table; represent the same data with a pictogram (each picture stands for 1, 2 or 5) or a bar chart; read and create simple tables; choose between pictogram and bar chart; design a survey end-to-end. The mean, range, grouped frequency tables and spreadsheets are deferred to P6 and P7.

Tally Charts and Collecting Data
Tally Charts: Recording Data as Four-and-cross
Collecting Data: a Classroom Survey
Frequency Tables
Pictograms
Pictograms: One Picture, One Item
Pictograms: One Picture Stands for Many
Bar Charts
Simple Bar Charts: Reading Them
Simple Bar Charts: Drawing Them
Tables and Interpretation
Simple Tables: Rows and Columns
Interpreting Graphs: What Does the Picture Tell Us?
Choosing Between Pictogram and Bar Chart
Survey Design and Consolidation
Designing a Survey from Start to Finish
From Data to Chart: a Worked Example End-to-end
Module 8 Consolidation: Data Handling Mixed Practice
Cross-class Survey: a Paired Data-collection

P5 introduction to probability language: certain, impossible, possible, likely, unlikely, equally likely. Order events on a probability line in everyday-language terms; list outcomes of simple random events (coin, die, spinner); predict roughly what many trials would give. The numerical probability scale (0 to 1) and probability as a fraction are deferred to P6 and P7. The module closes with end-of-year consolidation and a look forward to P6.

The Language of Probability
Certain, Possible, Impossible
Likely, Unlikely
Equally Likely
Ordering Events by Likelihood
Ordering Events by Likelihood: the Probability Line
Probability in Real Life: Weather, Sports, Everyday
Simple Games of Chance
Simple Games of Chance: Dice and Spinners
Predicting Outcomes from Many Trials
The Vocabulary of Probability: Review
Year-end Consolidation and Looking Forward
Module 9 Consolidation: Probability Mixed Practice
End-of-year Mixed Practice: Five-strand Consolidation
Looking Forward to P6

What Students Will Learn

Learning Goals

  1. Develop a secure understanding of place value in numbers up to 10,000, including reading, writing, comparing, ordering and identifying the value of each digit.
  2. Build fluency in mental and written methods for addition, subtraction, multiplication and division, including column methods, short multiplication and division, and interpreting remainders in context.
  3. Recognise, name, compare and find simple fractions of shapes and sets, including halves, quarters, thirds, fifths, tenths and their equivalents.
  4. Work confidently with money, measures and time, performing conversions, solving real-life problems involving budgeting, change, length, weight, capacity, perimeter, area and timetables.
  5. Describe and classify 2D and 3D shapes, identify symmetry and right angles, interpret data using tally charts, pictograms and bar charts, and use appropriate language to discuss probability.

Learning Outcomes

  1. Read, write and build numbers up to 9,999 using a five-column place-value house (ten-thousands, thousands, hundreds, tens and units).
  2. Distinguish the digit in a number from its place value (e.g. the 4 in 4,732 represents 400).
  3. Compare and order sets of 4-digit numbers by examining columns from left to right, using Northern Ireland contexts such as town populations and lake areas.
  4. Round whole numbers to the nearest 10, 100 or 1,000 by applying the 5-or-above rule and identifying the correct deciding digit.
  5. Translate fluently between numbers written in words and figures, including place-holding zeros.

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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