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.
01Number Sense and Place Value
Developing a deep understanding of numbers to 20, including counting, comparing, and the concept of ten.
Students will practice counting objects accurately, ensuring each object is counted only once.
Students will explore different ways to show numbers up to 10 using fingers, objects, and drawings.
Exploring how numbers are built using groups of ten and leftover units.
Students will understand the structure of teen numbers as 'ten and some more'.
Using mathematical language to describe relationships between different quantities.
Developing the ability to make reasonable guesses about the size of a set.
Students will learn and use ordinal numbers to describe position in a sequence.
Students will explore different pairs of numbers that add up to 10.
Understanding addition as joining sets and subtraction as taking apart.
Students will use concrete objects and drawings to solve addition problems within 10.
Students will use concrete objects and drawings to solve subtraction problems within 10.
Solving simple algebraic problems where a part of the addition equation is missing.
Solving simple algebraic problems where a part of the subtraction equation is missing.
Identifying, extending, and creating repeating patterns using non-numerical elements.
Identifying, extending, and creating repeating patterns in numbers.
Students will recognize and name basic 2D shapes: circle, square, triangle, rectangle.
Analyzing the characteristics of flat shapes like circles, squares, and triangles.
Students will combine smaller shapes to make larger ones and break larger shapes into smaller ones.
Students will recognize and name basic 3D objects: cube, cuboid, cylinder, sphere, cone.
Identifying and describing solid shapes in the environment.
Using language to describe position, direction, and movement.
Students will identify lines of symmetry in 2D shapes and create symmetrical patterns.
Students will compare the lengths of two objects directly using terms like longer, shorter, taller.
Comparing the size of objects using uniform non-standard units.
Students will compare the weights of two objects directly using terms like heavier, lighter.
Exploring mass by using balance scales and comparing heavy and light objects.
Students will compare the capacities of two containers directly using terms like holds more, holds less.
Investigating how much a container can hold using liquids and solids.
Students will order events in their day using language like 'first', 'next', 'last'.
Sequencing events and reading time to the hour on analog and digital clocks.
Students will learn to read and show time to the half hour on analog and digital clocks.
Identifying Euro coins and understanding that different coins have different values.
Students will count collections of coins up to 20 cents.
Gathering information from the class and sorting it into categories.
Students will create simple pictograms to represent collected data.
Reading and explaining information shown in pictograms and block graphs.
Students will formulate questions based on given data and answer them.
Using language like 'possible', 'impossible', 'likely', and 'unlikely'.
Students will explore simple games and determine if they are fair or unfair based on chance.
Students will learn and apply various strategies to solve simple mathematical problems.
Students will use appropriate mathematical vocabulary to describe their thinking and solutions.
Students will identify and discuss how mathematics is used in everyday situations.