Browse by Grade: 6th Class

Ireland · NCCA Curriculum Specifications

6th Class Mathematical Mastery and Real World Reasoning

A comprehensive exploration of advanced primary mathematics focusing on fluency, logical reasoning, and the application of concepts to complex real world scenarios. Students transition from concrete operations to abstract algebraic thinking and sophisticated data interpretation.

5 units·14 topics·Ages 11-12
1

Number Systems and Proportional Reasoning

3 topics·Number and Operations

Deepening understanding of the base ten system, fractions, decimals, and the power of percentages in daily life.

Place Value and the Power of Ten

Exploring the relationship between digits in large numbers and decimals to the thousandths place.

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Fractions, Decimals, and Percentages

Mastering the equivalence between different numerical representations and their practical applications.

Stations RotationCollaborative Problem-SolvingGallery Walk
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Directed Numbers in Context

Introducing positive and negative integers through temperature, debt, and elevation.

Human BarometerProblem-Based Learning
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2

Algebraic Thinking and Patterns

2 topics·Algebraic Thinking

Moving from arithmetic to symbolic representation and discovering the rules that govern mathematical sequences.

Variable Expressions and Equations

Using letters to represent unknown quantities and solving simple linear equations.

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Rules and Relationships in Patterns

Identifying, extending, and creating rules for geometric and numerical sequences.

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3

Shape, Space, and Geometric Reasoning

3 topics·Geometry

Analyzing the properties of 2D and 3D shapes and understanding spatial relationships through angles and coordinates.

The Geometry of Angles

Measuring and constructing angles and exploring the properties of triangles and quadrilaterals.

Stations RotationPeer Teaching
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Properties of 2D and 3D Shapes

Classifying polygons and polyhedra based on their spatial characteristics and nets.

Stations RotationCollaborative Problem-Solving
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The Coordinate Plane

Plotting points and identifying transformations in the first quadrant and beyond.

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4

Measurement and Environmental Math

3 topics·Measurement

Applying units of measure to solve problems involving area, volume, time, and capacity.

Area, Perimeter, and Surface Area

Calculating the space within and around shapes, including irregular figures.

Problem-Based Learning
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Capacity and Volume

Exploring the relationship between liquid measure and the volume of solid containers.

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Time and Speed

Solving problems involving international time zones, 24 hour clocks, and average speed.

Case Study AnalysisThink-Pair-Share
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5

Data Handling and Probability

3 topics·Data and Chance

Collecting, representing, and interpreting data to make informed predictions and decisions.

Statistical Measures

Understanding the mean, median, mode, and range as ways to summarize data sets.

Case Study AnalysisDecision Matrix
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Advanced Data Representation

Creating and interpreting pie charts, trend graphs, and multiple bar charts.

Decision MatrixGallery Walk
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The Language of Chance

Using fractions and decimals to express the probability of independent events.

Inquiry CircleCollaborative Problem-SolvingThink-Pair-Share
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