Ireland · NCCA Curriculum Specifications
6th Class Mathematical Mastery and Real World Reasoning
A comprehensive exploration of advanced primary mathematics focusing on fluency, logical reasoning, and the application of concepts to complex real world scenarios. Students transition from concrete operations to abstract algebraic thinking and sophisticated data interpretation.

Number Systems and Proportional Reasoning
Deepening understanding of the base ten system, fractions, decimals, and the power of percentages in daily life.
Exploring the relationship between digits in large numbers and decimals to the thousandths place.
Mastering the equivalence between different numerical representations and their practical applications.
Introducing positive and negative integers through temperature, debt, and elevation.

Algebraic Thinking and Patterns
Moving from arithmetic to symbolic representation and discovering the rules that govern mathematical sequences.
Using letters to represent unknown quantities and solving simple linear equations.
Identifying, extending, and creating rules for geometric and numerical sequences.

Shape, Space, and Geometric Reasoning
Analyzing the properties of 2D and 3D shapes and understanding spatial relationships through angles and coordinates.
Measuring and constructing angles and exploring the properties of triangles and quadrilaterals.
Classifying polygons and polyhedra based on their spatial characteristics and nets.
Plotting points and identifying transformations in the first quadrant and beyond.

Measurement and Environmental Math
Applying units of measure to solve problems involving area, volume, time, and capacity.
Calculating the space within and around shapes, including irregular figures.
Exploring the relationship between liquid measure and the volume of solid containers.
Solving problems involving international time zones, 24 hour clocks, and average speed.

Data Handling and Probability
Collecting, representing, and interpreting data to make informed predictions and decisions.
Understanding the mean, median, mode, and range as ways to summarize data sets.
Creating and interpreting pie charts, trend graphs, and multiple bar charts.
Using fractions and decimals to express the probability of independent events.