Ireland · NCCA Curriculum Specifications
2nd Class Mathematical Explorers: Building Foundations
A comprehensive second class mathematics curriculum focusing on developing fluency with numbers up to 200, spatial reasoning, and logical problem solving. Students engage in hands on activities to bridge the gap between concrete manipulation and abstract mathematical thinking.
01Counting and Place Value to 199
Students explore the base ten system to understand how numbers up to 200 are constructed and compared, extending to larger numbers and operations.
Investigating different number bases (e.g., binary, base 5) to deepen understanding of place value and number representation.
Comparing and ordering integers, fractions, decimals, and percentages, including on a number line.
Identifying patterns in arithmetic and geometric sequences, and deriving rules for the general term.
Rounding numbers to a specified number of significant figures and decimal places, and understanding their application in estimation.
Exploring the concept of numbers below zero in real-world contexts like temperature and debt.
Finding the highest common factor (HCF) and lowest common multiple (LCM) of two or more numbers using prime factorisation.
Decomposing composite numbers into their prime factors and using this to solve problems.
02Adding Two-Digit Numbers Without Renaming
Developing flexible strategies for addition and subtraction while exploring the relationship between the two, and introducing multiplication and division.
Performing addition, subtraction, multiplication, and division with positive and negative integers.
Performing addition, subtraction, multiplication, and division with fractions and decimals, including mixed numbers.
Applying operations with rational numbers to solve complex, real-world problems, including those involving percentages.
Understanding exponents as repeated multiplication and evaluating expressions involving powers.
Applying the correct order of operations to evaluate numerical expressions involving various operations and grouping symbols.
Translating verbal phrases into algebraic expressions and evaluating expressions for given variable values.
Solving one-step and two-step linear equations involving a single variable using inverse operations.
03Introduction to Multiplication as Repeated Addition
Investigating the properties of 2D and 3D shapes, how they interact in space, and exploring transformations.
Investigating the properties of prisms and pyramids, including their bases, faces, edges, and vertices, and their classification.
Classifying polygons based on the number of sides and angles, with a focus on properties of various quadrilaterals (e.g., parallelograms, trapezoids).
Performing reflections of 2D shapes across the x-axis, y-axis, and other lines on a coordinate plane.
Performing rotations (about the origin) and translations of 2D shapes on a coordinate plane.
Measuring angles using a protractor, classifying angles, and identifying angle relationships (e.g., complementary, supplementary, vertically opposite).
Calculating the perimeter of polygons and the circumference of circles, including composite shapes.
04Halves — Equal Parts of a Whole
Using standard and non-standard units to quantify length, weight, capacity, and time, and introducing area.
Converting between different metric units of length (mm, cm, m, km) and solving problems involving length.
Converting between different metric units of mass (mg, g, kg) and capacity (ml, l) and solving related problems.
Converting between 12-hour and 24-hour clock formats and solving problems involving duration and time zones.
Calculating the area of rectangles, triangles, and parallelograms, including composite shapes.
Understanding and calculating rates and ratios in various contexts, including unit rates.
Understanding and applying scale factors to create and interpret scale drawings and models.
Calculating the volume of cuboids and other prisms using appropriate formulas.
05Sorting and Classifying Shapes
Collecting information, representing it visually, interpreting data, and discussing the likelihood of events.
Collecting and organizing data into frequency tables, including grouped frequency tables for continuous data.
Creating and interpreting bar charts and pie charts to represent and analyze categorical data.
Calculating theoretical probability and conducting simple experiments to determine experimental probability.
Calculating and interpreting the mean, median, and mode for a given set of data.
Calculating and interpreting the range as a measure of the spread or dispersion of data.
Identifying and analyzing how statistics and graphs can be manipulated to present a biased or misleading view of data.
06Measuring Weight with Standard Units (kg)
Introducing the concepts of fractions as parts of a whole and decimals as tenths.
Understanding and generating equivalent fractions, and simplifying fractions to their lowest terms.
Adding and subtracting fractions by finding common denominators, including mixed numbers.
Performing multiplication and division operations with fractions, including mixed numbers.
Understanding place value in decimals (tenths, hundredths, thousandths) and performing all four operations with decimals.
Converting between fractions, decimals, and percentages and understanding their equivalence.
07Telling the Time — Quarter Past and Quarter To
Developing strategies for approaching and solving multi-step problems across all mathematical strands.
Engaging with non-routine problems that require logical reasoning and critical thinking.
Introducing basic concepts of earning, spending, and saving money through simple budgeting scenarios.
08Recognising and Using Coins and Notes
Further exploration of geometric concepts, including coordinates and advanced transformations.
Locating and plotting points in all four quadrants of the Cartesian plane using ordered pairs.
Drawing and identifying geometric shapes (e.g., triangles, quadrilaterals) by plotting their vertices on the coordinate plane.
Representing linear patterns and sequences graphically on the coordinate plane and interpreting their characteristics.
Calculating the surface area of cuboids and other prisms by unfolding their nets.