Fundamental Theorem of Arithmetic
Students will understand the Fundamental Theorem of Arithmetic and use prime factorization to find HCF and LCM.
Key Questions
- Justify the uniqueness of prime factorization for any composite number.
- Compare the efficiency of prime factorization versus Euclid's algorithm for finding HCF.
- Predict how errors in prime factorization would impact the calculation of LCM.
CBSE Learning Outcomes
Suggested Methodologies
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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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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.
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