Browse by Grade: 1st Year

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.

6 units·17 topics·Ages 12-13
1

Number Sense and Place Value

3 topics·Number & Operations

Developing a deep understanding of numbers to 20, including counting, comparing, and the concept of ten.

The Power of Ten

Exploring how numbers are built using groups of ten and leftover units.

Stations RotationThink-Pair-Share
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Comparing and Ordering

Using mathematical language to describe relationships between different quantities.

Collaborative Problem-SolvingGallery Walk
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Estimating Quantities

Developing the ability to make reasonable guesses about the size of a set.

Carousel BrainstormGallery Walk
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2

Operations and Algebraic Thinking

3 topics·Algebraic Thinking

Investigating the processes of addition and subtraction and the relationships between them.

Combining and Partitioning

Understanding addition as joining sets and subtraction as taking apart.

Problem-Based LearningThink-Pair-Share
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Finding the Unknown

Solving simple algebraic problems where a part of the equation is missing.

Escape RoomCollaborative Problem-Solving
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Patterns and Sequences

Identifying, extending, and creating repeating patterns in numbers and shapes.

Stations RotationCarousel Brainstorm
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3

Geometry and Spatial Reasoning

3 topics·Geometry

Exploring the properties of 2D and 3D shapes and their positions in space.

Properties of 2D Shapes

Analyzing the characteristics of flat shapes like circles, squares, and triangles.

Stations RotationGallery Walk
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3D Objects in the Real World

Identifying and describing solid shapes in the environment.

Stations RotationGallery Walk
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Spatial Awareness and Direction

Using language to describe position, direction, and movement.

Role PlaySimulation Game
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4

Measurement and Comparison

3 topics·Measurement

Using non-standard and standard units to quantify length, weight, and capacity.

Length and Height

Comparing the size of objects using direct comparison and uniform units.

Inquiry CircleCollaborative Problem-Solving
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Weight and Balance

Exploring mass by using balance scales and comparing heavy and light objects.

Inquiry Circle
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Capacity and Volume

Investigating how much a container can hold using liquids and solids.

Stations RotationCase Study Analysis
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5

Time and Money

2 topics·Measurement & Social Math

Understanding the passage of time and the value of coins in everyday life.

The Rhythm of Time

Sequencing events and reading time to the hour on analog and digital clocks.

Timeline ChallengeStations Rotation
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Coin Recognition and Value

Identifying Euro coins and understanding that different coins have different values.

Role PlayDecision MatrixThink-Pair-Share
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6

Data Handling and Chance

3 topics·Data

Collecting information, representing it visually, and discussing the likelihood of events.

Collecting and Organizing Data

Gathering information from the class and sorting it into categories.

Case Study AnalysisDecision Matrix
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Interpreting Visuals

Reading and explaining information shown in pictograms and block graphs.

Gallery Walk
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Likelihood and Chance

Using language like 'possible', 'impossible', 'likely', and 'unlikely'.

Four CornersFishbowl Discussion
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