Ireland · NCCA Curriculum Specifications
6th Year Mastering Mathematical Reasoning: Year 6
A comprehensive exploration of advanced primary mathematics focusing on fluency, logical reasoning, and real world problem solving. Students transition from concrete operations to abstract algebraic thinking and complex data interpretation in preparation for secondary education.
The Power of Number Systems
Deepening understanding of place value, prime numbers, and the mechanics of large scale operations.
Exploring the relationship between digits in numbers up to millions and down to three decimal places.
Identifying number properties and using prime factorization to solve complex division problems.
Developing flexible mental models for multiplication and division of multi digit numbers.
Fractions, Decimals, and Percentages
Mastering the equivalence between different numerical representations and applying them to proportional reasoning.
Connecting fractions, decimals, and percentages as three ways of expressing the same value.
Adding, subtracting, and multiplying fractions with unlike denominators using visual and abstract methods.
Using ratios to describe relationships between quantities and solving scaling problems.
Algebraic Thinking and Patterns
Moving from arithmetic to algebra by using variables to represent unknowns and describing sequences.
Using letters to represent unknown numbers and writing simple algebraic expressions.
Developing techniques to balance equations and find the value of missing variables.
Identifying linear sequences and expressing the nth term rule in simple contexts.
Geometry and Spatial Reasoning
Classifying complex shapes, calculating angles, and understanding the properties of circles.
Measuring and calculating missing angles in triangles, quadrilaterals, and around a point.
Understanding the relationship between radius, diameter, and circumference.
Plotting points in all four quadrants and performing translations, reflections, and rotations.
Measurement and Environmental Math
Applying measurement skills to area, volume, and time in practical and environmental contexts.
Calculating the area of parallelograms and triangles and finding the volume of cubes and cuboids.
Converting between different units of metric measure and understanding imperial approximations.
Solving problems involving 24 hour clocks, international time zones, and complex timetables.
Data, Chance, and Statistics
Collecting, representing, and interpreting data to make informed predictions and decisions.
Reading and constructing pie charts and line graphs to represent continuous and categorical data.
Calculating the mean as an average and understanding how it represents a data set.
Using fractions and decimals to express the likelihood of events and conducting probability experiments.