Prime Factorisation and its Applications
Decomposing composite numbers into their prime factors and using this to solve problems.
Key Questions
- How can any composite number be uniquely expressed as a product of prime factors?
- Analyze the usefulness of prime factorisation in simplifying fractions or finding square roots.
- Justify why 1 is not considered a prime number.
NCCA Curriculum Specifications
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
Planning templates for Mathematical Explorers: Building Foundations
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Number Power and Place Value
Exploring Number Systems: Beyond Base 10
Investigating different number bases (e.g., binary, base 5) to deepen understanding of place value and number representation.
2 methodologies
Ordering and Comparing Rational Numbers
Comparing and ordering integers, fractions, decimals, and percentages, including on a number line.
3 methodologies
Number Sequences and General Terms
Identifying patterns in arithmetic and geometric sequences, and deriving rules for the general term.
3 methodologies
Significant Figures and Decimal Places
Rounding numbers to a specified number of significant figures and decimal places, and understanding their application in estimation.
2 methodologies
Introduction to Negative Numbers
Exploring the concept of numbers below zero in real-world contexts like temperature and debt.
2 methodologies