This course provides comprehensive coverage of the Irish primary mathematics curriculum for 6th class. Students develop deep understanding of place value to millions and thousandths, master operations with whole numbers, decimals and fractions, and explore ratio, proportion, percentages, measures, geometry, transformations, coordinates, data handling, probability and early algebra. Through practical investigations, multi-step problem-solving and real-world applications including financial literacy and scale drawings, pupils build computational fluency, mathematical reasoning and modelling skills essential for post-primary mathematics.
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Everything you need for Maths, all year.

A complete year of Maths, delivered by teacher-led interactive-whiteboard lessons, a printed pupil Activity Book, and a Teacher Resource Book, built to the NCCA Primary Mathematics Curriculum.

Interactive whiteboard lessons
Pupil Activity Book Mathematics 123learn Síle the owl Look inside
Teacher Resource Book Mathematics 123learn Teacher resource books and materials Look inside

Explore the Course

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Extend place value to decimals to thousandths and large whole numbers, comparing, ordering and expressing numbers in related terms with confidence.

Reading and Writing Numbers to Millions Sample Activity Book Extension Sheet Teacher Resources
Place Value of Decimals to Thousandths Sample Activity Book Extension Sheet Teacher Resources
Modelling Thousandths with Concrete and Visual Tools Sample Activity Book Extension Sheet Teacher Resources
Comparing and Ordering Decimals to Thousandths
Rounding Decimals to Nearest Whole, Tenth and Hundredth
Rounding Whole Numbers to Estimate in Context
Multiplying and Dividing Decimals by 10, 100, 1000
Decimals on the Number Line to Thousandths
Expressing Quantities in Related Place-value Terms
Negative Numbers in Context and on the Number Line
Comparing and Ordering Positive and Negative Integers
Place Value Problem-solving and Review

Select and apply efficient strategies across the four operations with whole numbers and decimals, including multi-step problems.

Mental Strategies for Addition and Subtraction Sample Activity Book Extension Sheet Teacher Resources
Addition and Subtraction of Decimals to Thousandths Sample Activity Book Extension Sheet Teacher Resources
Multiplying Multi-digit Whole Numbers Sample Activity Book Extension Sheet Teacher Resources
Long Multiplication Strategies and Estimation
Multiplying Decimals by Whole Numbers
Mental Strategies for Multiplication and Division
Dividing by Single-digit Divisors with Remainders
Long Division by Two-digit Divisors
Dividing Decimals in Context
Order of Operations with Brackets
Factors, Multiples, Primes and Composites
Divisibility Rules and Tests
Square Numbers and Number Patterns
Multi-step Word Problems and Operation Choice

Achieve fluent equivalence between fractions, decimals and percentages and apply each form flexibly in problem contexts.

Equivalent Fractions and Simplest Form Sample Activity Book Extension Sheet Teacher Resources
Comparing and Ordering Fractions with Unlike Denominators Sample Activity Book Extension Sheet Teacher Resources
Adding and Subtracting Fractions with Unlike Denominators Sample Activity Book Extension Sheet Teacher Resources
Adding and Subtracting Mixed Numbers
Finding a Fraction of a Quantity
Fraction Word Problems in Real-life Contexts
Converting Fractions to Decimals
Converting Decimals to Fractions
Percentages as Fractions and Decimals
Finding a Percentage of a Quantity
Fraction-decimal-percentage Equivalence Mastery
Problem-solving with Discounts and Increases
Fractions, Decimals and Percentages Review

Investigate proportionality and ratios of quantities, sharing and scaling amounts to solve practical problems.

Introducing Ratio as Comparison of Quantities Sample Activity Book Extension Sheet Teacher Resources
Equivalent Ratios and Simplifying Ratios Sample Activity Book Extension Sheet Teacher Resources
Sharing a Quantity in a Given Ratio Sample Activity Book Extension Sheet Teacher Resources
Direct Proportion and the Unitary Method
Recipes, Mixtures and Scaling Quantities
Ratio, Proportion and Percentage Links
Ratio and Proportion Problem-solving

Calculate measures in fractional and decimal form, deriving and applying formulae for perimeter, area and volume with increasing precision, and reason about the relationships that link the metric units.

Choosing and Converting Metric Units of Length Sample Activity Book Extension Sheet Teacher Resources
Perimeter of Regular and Irregular Shapes Sample Activity Book Extension Sheet Teacher Resources
Area of Rectangles and Compound Shapes Sample Activity Book Extension Sheet Teacher Resources
Area of Triangles
Estimating and Measuring the Area of Irregular Shapes
Relationship Between Area Units (Cm² to M²)
Reading Scales and Measuring Instruments Accurately
Volume of Cubes and Cuboids
Relationship Between Capacity and Volume (Litres and Cm³)
Converting Units of Mass and Capacity
Decimal and Fractional Measures in Problems
Measurement Investigation with Precision
Measures Problem-solving and Review

Interpret and calculate time across formats and zones, and make informed judgements about transactions and financial plans.

12-hour and 24-hour Time Calculations Sample Activity Book Extension Sheet Teacher Resources
Elapsed Time Across Hours and Days Sample Activity Book Extension Sheet Teacher Resources
Timetables, Schedules and Time Zones Sample Activity Book Extension Sheet Teacher Resources
Converting Between Units of Time
Calendars, Durations and Problem-solving
Operations with Money in Decimal Form
Profit, Loss and Best-value Shopping
Calculating Discounts, VAT and Percentages of Price
Budgeting, Saving and Simple Financial Plans
Time and Money Problem-solving Review

Construct 2-D and 3-D shapes to given conditions and formally measure, construct and reason about angles with precision.

Classifying Triangles and Quadrilaterals by Properties Sample Activity Book Extension Sheet Teacher Resources
Constructing Triangles from Given Measurements Sample Activity Book Extension Sheet Teacher Resources
Measuring Angles Accurately with a Protractor Sample Activity Book Extension Sheet Teacher Resources
Constructing Angles with a Protractor
Angles on a Line, at a Point and Vertically Opposite
Angle Sum of a Triangle
Angle Sum of a Quadrilateral
Constructing Circles and Exploring Their Parts
Nets and Construction of 3-D Solids
Properties and Faces, Edges, Vertices of Polyhedra
Angle-related Problem-solving
Shape and Angle Construction Review

Describe location on the full four-quadrant co-ordinate plane, interpret scale maps and create scale drawings, and perform transformations including enlargement.

Plotting Points in the First Quadrant Sample Activity Book Extension Sheet Teacher Resources
The Full Four-quadrant Co-ordinate Plane Sample Activity Book Extension Sheet Teacher Resources
Plotting and Reading Points with Negative Co-ordinates Sample Activity Book Extension Sheet Teacher Resources
Translating Shapes on the Co-ordinate Plane
Reflection in the Axes and Lines of Symmetry
Rotation of Shapes About a Point
Combining Transformations
Enlargement and Scale Factor
Interpreting Scale Maps and Distances
Creating Simple Scale Drawings

Pose questions, collect and represent data selectively, analyse measures of centre, and express probability in different forms to make predictions.

Posing Statistical Questions and Collecting Data Sample Activity Book Extension Sheet Teacher Resources
Frequency Tables and Grouped Data Sample Activity Book Extension Sheet Teacher Resources
Constructing and Interpreting Bar and Multiple Bar Charts Sample Activity Book Extension Sheet Teacher Resources
Trend Graphs and Reading Line Graphs
Pie Charts and Proportional Representation
The Mean as a Measure of Centre
Mode, Range and Choosing a Measure
Comparing Data Sets and Drawing Inferences
Critically Evaluating Graphs and Misleading Data
Probability Scale and the Language of Chance
Expressing Probability as Fraction, Decimal and Percentage
Experimental Probability, Predictions and Review

Generalise patterns and properties of operations, and represent and solve situations using letter-symbol expressions and equations.

Generalising Number Patterns and Sequences Sample Activity Book Extension Sheet Teacher Resources
Rules for Patterns Using Words and Tables Sample Activity Book Extension Sheet Teacher Resources
Properties of Operations and the Distributive Law Sample Activity Book Extension Sheet Teacher Resources
Introducing Letter-symbols as Variables
Writing Expressions from Word Situations
Substituting Values Into Expressions
Simplifying Simple Expressions
Solving One-step Equations
Solving Two-step Equations
Representing Situations as Equations
Algebra Problem-solving and End-of-year Review

Close primary maths with a five-strand recap, two open-ended modelling projects, a journal self-review and a class maths fair, completing the gradual release of agency.

End-of-primary Strands Recap: a Five-strand Tour Sample Activity Book Teacher Resources
How Big Is Our School Yard, Really? Sample Activity Book
Design and Cost Project: an End-of-primary Celebration on a Budget Sample Activity Book
Maths Journal Review and Self-assessment
End-of-primary Maths Fair

Extend place value to decimals to thousandths and large whole numbers, comparing, ordering and expressing numbers in related terms with confidence.

Reading and Writing Numbers to Millions Sample Activity Book Extension Sheet Teacher Resources
Place Value of Decimals to Thousandths Sample Activity Book Extension Sheet Teacher Resources
Modelling Thousandths with Concrete and Visual Tools Sample Activity Book Extension Sheet Teacher Resources
Comparing and Ordering Decimals to Thousandths
Rounding Decimals to Nearest Whole, Tenth and Hundredth
Rounding Whole Numbers to Estimate in Context
Multiplying and Dividing Decimals by 10, 100, 1000
Decimals on the Number Line to Thousandths
Expressing Quantities in Related Place-value Terms
Negative Numbers in Context and on the Number Line
Comparing and Ordering Positive and Negative Integers
Place Value Problem-solving and Review

Select and apply efficient strategies across the four operations with whole numbers and decimals, including multi-step problems.

Mental Strategies for Addition and Subtraction Sample Activity Book Extension Sheet Teacher Resources
Addition and Subtraction of Decimals to Thousandths Sample Activity Book Extension Sheet Teacher Resources
Multiplying Multi-digit Whole Numbers Sample Activity Book Extension Sheet Teacher Resources
Long Multiplication Strategies and Estimation
Multiplying Decimals by Whole Numbers
Mental Strategies for Multiplication and Division
Dividing by Single-digit Divisors with Remainders
Long Division by Two-digit Divisors
Dividing Decimals in Context
Order of Operations with Brackets
Factors, Multiples, Primes and Composites
Divisibility Rules and Tests
Square Numbers and Number Patterns
Multi-step Word Problems and Operation Choice

Achieve fluent equivalence between fractions, decimals and percentages and apply each form flexibly in problem contexts.

Equivalent Fractions and Simplest Form Sample Activity Book Extension Sheet Teacher Resources
Comparing and Ordering Fractions with Unlike Denominators Sample Activity Book Extension Sheet Teacher Resources
Adding and Subtracting Fractions with Unlike Denominators Sample Activity Book Extension Sheet Teacher Resources
Adding and Subtracting Mixed Numbers
Finding a Fraction of a Quantity
Fraction Word Problems in Real-life Contexts
Converting Fractions to Decimals
Converting Decimals to Fractions
Percentages as Fractions and Decimals
Finding a Percentage of a Quantity
Fraction-decimal-percentage Equivalence Mastery
Problem-solving with Discounts and Increases
Fractions, Decimals and Percentages Review

Investigate proportionality and ratios of quantities, sharing and scaling amounts to solve practical problems.

Introducing Ratio as Comparison of Quantities Sample Activity Book Extension Sheet Teacher Resources
Equivalent Ratios and Simplifying Ratios Sample Activity Book Extension Sheet Teacher Resources
Sharing a Quantity in a Given Ratio Sample Activity Book Extension Sheet Teacher Resources
Direct Proportion and the Unitary Method
Recipes, Mixtures and Scaling Quantities
Ratio, Proportion and Percentage Links
Ratio and Proportion Problem-solving

Calculate measures in fractional and decimal form, deriving and applying formulae for perimeter, area and volume with increasing precision, and reason about the relationships that link the metric units.

Choosing and Converting Metric Units of Length Sample Activity Book Extension Sheet Teacher Resources
Perimeter of Regular and Irregular Shapes Sample Activity Book Extension Sheet Teacher Resources
Area of Rectangles and Compound Shapes Sample Activity Book Extension Sheet Teacher Resources
Area of Triangles
Estimating and Measuring the Area of Irregular Shapes
Relationship Between Area Units (Cm² to M²)
Reading Scales and Measuring Instruments Accurately
Volume of Cubes and Cuboids
Relationship Between Capacity and Volume (Litres and Cm³)
Converting Units of Mass and Capacity
Decimal and Fractional Measures in Problems
Measurement Investigation with Precision
Measures Problem-solving and Review

Interpret and calculate time across formats and zones, and make informed judgements about transactions and financial plans.

12-hour and 24-hour Time Calculations Sample Activity Book Extension Sheet Teacher Resources
Elapsed Time Across Hours and Days Sample Activity Book Extension Sheet Teacher Resources
Timetables, Schedules and Time Zones Sample Activity Book Extension Sheet Teacher Resources
Converting Between Units of Time
Calendars, Durations and Problem-solving
Operations with Money in Decimal Form
Profit, Loss and Best-value Shopping
Calculating Discounts, VAT and Percentages of Price
Budgeting, Saving and Simple Financial Plans
Time and Money Problem-solving Review

Construct 2-D and 3-D shapes to given conditions and formally measure, construct and reason about angles with precision.

Classifying Triangles and Quadrilaterals by Properties Sample Activity Book Extension Sheet Teacher Resources
Constructing Triangles from Given Measurements Sample Activity Book Extension Sheet Teacher Resources
Measuring Angles Accurately with a Protractor Sample Activity Book Extension Sheet Teacher Resources
Constructing Angles with a Protractor
Angles on a Line, at a Point and Vertically Opposite
Angle Sum of a Triangle
Angle Sum of a Quadrilateral
Constructing Circles and Exploring Their Parts
Nets and Construction of 3-D Solids
Properties and Faces, Edges, Vertices of Polyhedra
Angle-related Problem-solving
Shape and Angle Construction Review

Describe location on the full four-quadrant co-ordinate plane, interpret scale maps and create scale drawings, and perform transformations including enlargement.

Plotting Points in the First Quadrant Sample Activity Book Extension Sheet Teacher Resources
The Full Four-quadrant Co-ordinate Plane Sample Activity Book Extension Sheet Teacher Resources
Plotting and Reading Points with Negative Co-ordinates Sample Activity Book Extension Sheet Teacher Resources
Translating Shapes on the Co-ordinate Plane
Reflection in the Axes and Lines of Symmetry
Rotation of Shapes About a Point
Combining Transformations
Enlargement and Scale Factor
Interpreting Scale Maps and Distances
Creating Simple Scale Drawings

Pose questions, collect and represent data selectively, analyse measures of centre, and express probability in different forms to make predictions.

Posing Statistical Questions and Collecting Data Sample Activity Book Extension Sheet Teacher Resources
Frequency Tables and Grouped Data Sample Activity Book Extension Sheet Teacher Resources
Constructing and Interpreting Bar and Multiple Bar Charts Sample Activity Book Extension Sheet Teacher Resources
Trend Graphs and Reading Line Graphs
Pie Charts and Proportional Representation
The Mean as a Measure of Centre
Mode, Range and Choosing a Measure
Comparing Data Sets and Drawing Inferences
Critically Evaluating Graphs and Misleading Data
Probability Scale and the Language of Chance
Expressing Probability as Fraction, Decimal and Percentage
Experimental Probability, Predictions and Review

Generalise patterns and properties of operations, and represent and solve situations using letter-symbol expressions and equations.

Generalising Number Patterns and Sequences Sample Activity Book Extension Sheet Teacher Resources
Rules for Patterns Using Words and Tables Sample Activity Book Extension Sheet Teacher Resources
Properties of Operations and the Distributive Law Sample Activity Book Extension Sheet Teacher Resources
Introducing Letter-symbols as Variables
Writing Expressions from Word Situations
Substituting Values Into Expressions
Simplifying Simple Expressions
Solving One-step Equations
Solving Two-step Equations
Representing Situations as Equations
Algebra Problem-solving and End-of-year Review

Close primary maths with a five-strand recap, two open-ended modelling projects, a journal self-review and a class maths fair, completing the gradual release of agency.

End-of-primary Strands Recap: a Five-strand Tour Sample Activity Book Teacher Resources
How Big Is Our School Yard, Really? Sample Activity Book
Design and Cost Project: an End-of-primary Celebration on a Budget Sample Activity Book
Maths Journal Review and Self-assessment
End-of-primary Maths Fair

Curriculum Mapping

See exactly how this course maps to official curriculum specifications

Curriculum Area
Outcomes
Algebra
Patterns, rules and relationships
ALG.PRR.4a ALG.PRR.4b
Expressions and equations
ALG.EXP.4
Data and chance
Data
DAT.DAT.4a DAT.DAT.4b
Chance
DAT.CHN.4a DAT.CHN.4b
Measures
Measuring
MEA.MSR.4a MEA.MSR.4b
Time
MEA.TIM.4
Money
MEA.MON.4
Number
Place value and base ten
NUM.PVT.4
Sets and operations
NUM.OPS.4
Fractions
NUM.FRC.4a NUM.FRC.4b
Shape and space
Spatial awareness and location
SHA.SAL.4a SHA.SAL.4b
Shape
SHA.SHP.4a SHA.SHP.4b
Transformation
SHA.TRN.4a SHA.TRN.4b

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. Master place value, decimals to thousandths, and negative numbers to read, compare, order, round and manipulate large and small quantities confidently
  2. Develop computational fluency with whole numbers, decimals and fractions using mental strategies, written methods and the order of operations
  3. Work fluently across fractions, decimals and percentages, converting between them and solving problems involving equivalence, discounts and increases
  4. Apply ratio, proportion and scaling to share quantities, solve recipes and real-life proportional problems using the unitary method
  5. Use precise measurement skills to calculate perimeter, area, volume, capacity and mass while converting between metric units and solving contextual problems

Learning Outcomes

  1. Read, write and compare whole numbers up to millions and decimals to thousandths using place-value columns.
  2. Add, subtract, multiply and divide decimals to thousandths, including using mental strategies and long multiplication and division.
  3. Simplify, compare, add and subtract fractions with unlike denominators and convert between fractions, decimals and percentages.
  4. Solve ratio and proportion problems using equivalent ratios, the unitary method and scaling in recipes and mixtures.
  5. Calculate perimeter, area of rectangles, triangles and compound shapes, and volume of cubes and cuboids while converting between metric units.

What You'll Need

Required Equipment

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

base-ten blocks
Compass
decimal column-grid sheet
IWB/Projector/Large Screen
IWB/Projector/Large Screen
Measure the Angles practice sheet
Metre stick
Protractor
response cards

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