Ireland · NCCA Curriculum Specifications
4th Year (TY) Mathematical Mastery: Exploring Patterns and Logic
A comprehensive Year 4 curriculum focused on deepening conceptual understanding of the decimal system, fractional relationships, and spatial reasoning. Students engage in collaborative problem solving to bridge the gap between concrete manipulation and abstract mathematical thinking.
The Power of Place Value
Students explore the structure of numbers up to 9,999, focusing on the multiplicative nature of place value and the significance of zero as a placeholder.
Investigating the relationship between units, tens, hundreds, and thousands through regrouping and renaming.
Developing mental benchmarks to approximate values and assess the reasonableness of mathematical claims.
Using inequality symbols and number lines to visualize the relative size of large numbers.
Operations and Algebraic Thinking
Moving beyond rote calculation to understand the properties of multiplication and division and their inverse relationship.
Exploring multiplication as a way to compare quantities and understanding the distributive property.
Investigating division as both grouping and sharing, including the interpretation of remainders.
Identifying rules in sequences and using variables to represent unknown quantities in equations.
Fractions and Decimals
Bridging the gap between whole numbers and parts of a whole through visual models and decimal notation.
Discovering how different fractions can represent the same proportion of a whole.
Connecting tenths and hundredths to the place value system and fractional parts.
Developing strategies for combining fractions with like denominators and simple decimals.
Shape, Space, and Symmetry
Analyzing the properties of 2D and 3D shapes and exploring the geometry of the world around us.
Categorizing shapes based on side lengths, angles, and parallel lines.
Exploring reflective symmetry and how shapes move through translation and rotation.
Identifying right, acute, and obtuse angles and recognizing parallel and perpendicular lines.
The Science of Measurement
Applying mathematical tools to quantify the physical world through length, area, weight, and time.
Distinguishing between the boundary of a shape and the space it covers.
Reading analogue and digital clocks and calculating elapsed time in real world scenarios.
Estimating and measuring liquids and solids using standard metric units.
Data Handling and Probability
Collecting, representing, and interpreting data to make informed decisions and predict outcomes.
Creating and interpreting bar charts, pictograms, and tally charts.
Analyzing data sets to find the mode and identifying trends or outliers.
Using the language of probability to describe the likelihood of events occurring.