Ireland · NCCA Curriculum Specifications
1st Year Foundations of Mathematical Thinking
A comprehensive introduction to mathematical reasoning where students explore number relationships, spatial awareness, and logical patterns. This course emphasizes hands-on discovery and the development of a robust mathematical vocabulary to describe the world.

Number Sense and Place Value
Developing a deep understanding of numbers to 20, including counting, comparing, and the concept of ten.
Exploring how numbers are built using groups of ten and leftover units.
Using mathematical language to describe relationships between different quantities.
Developing the ability to make reasonable guesses about the size of a set.

Operations and Algebraic Thinking
Investigating the processes of addition and subtraction and the relationships between them.
Understanding addition as joining sets and subtraction as taking apart.
Solving simple algebraic problems where a part of the equation is missing.
Identifying, extending, and creating repeating patterns in numbers and shapes.

Geometry and Spatial Reasoning
Exploring the properties of 2D and 3D shapes and their positions in space.
Analyzing the characteristics of flat shapes like circles, squares, and triangles.
Identifying and describing solid shapes in the environment.
Using language to describe position, direction, and movement.

Measurement and Comparison
Using non-standard and standard units to quantify length, weight, and capacity.
Comparing the size of objects using direct comparison and uniform units.
Exploring mass by using balance scales and comparing heavy and light objects.
Investigating how much a container can hold using liquids and solids.

Time and Money
Understanding the passage of time and the value of coins in everyday life.
Sequencing events and reading time to the hour on analog and digital clocks.
Identifying Euro coins and understanding that different coins have different values.

Data Handling and Chance
Collecting information, representing it visually, and discussing the likelihood of events.
Gathering information from the class and sorting it into categories.
Reading and explaining information shown in pictograms and block graphs.
Using language like 'possible', 'impossible', 'likely', and 'unlikely'.