Ireland · NCCA Curriculum Specifications
4th Class Mastering Mathematical Thinking: 4th Class
A comprehensive exploration of mathematical concepts designed to move students from concrete operations to abstract reasoning. This course emphasizes the application of number sense, spatial awareness, and data interpretation to solve complex real world problems.

Number Systems and Place Value
Developing a deep understanding of the base ten system and extending numerical fluency to 9,999.
Exploring how the position of a digit determines its value and how numbers can be decomposed in multiple ways.
Using rounding as a strategy to predict outcomes and check the reasonableness of answers.
Investigating the relationship between fractional parts and decimal notation to the hundredths place.

Operations and Algebraic Patterns
Building fluency in multiplication and division while identifying underlying mathematical structures.
Moving beyond rote memorization to understand the distributive and associative properties of multiplication.
Understanding division as equal sharing and grouping, including the interpretation of remainders in context.
Identifying patterns in sequences and using symbols to represent unknown quantities.

Shape, Space, and Symmetry
Analyzing the properties of 2D and 3D shapes and exploring spatial relationships through transformations.
Classifying quadrilaterals and triangles based on their angles and side lengths.
Investigating reflective symmetry and how certain shapes can tile a plane without gaps.
Identifying types of angles and the relationship between parallel and perpendicular lines.

The Science of Measurement
Applying units of measure to length, area, weight, and capacity in practical scenarios.
Distinguishing between the boundary and the surface cover of 2D shapes.
Reading analog and digital clocks and calculating elapsed time across hours and minutes.
Estimating and measuring the mass and volume of objects using metric units.

Data Handling and Chance
Collecting, representing, and interpreting data to make informed decisions and predictions.
Creating and interpreting bar charts, pictograms, and multiple bar graphs.
Introducing the concept of the average as a representative value for a data set.
Using the language of probability to describe the likelihood of events.