Factorising by Highest Common Factor
Students will reverse the expansion process by factorising algebraic expressions, focusing on finding the highest common factor.
Key Questions
- Justify why finding the highest common factor is the first step in efficient factorisation.
- Analyze the relationship between expanding and factorising algebraic expressions.
- Construct an example where factorisation simplifies a complex problem.
ACARA Content Descriptions
Suggested Methodologies
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Planning templates for Mathematics
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.
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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.
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