Algebraic Expansion and Factorisation · Algebraic Thinking

Quadratic Expressions and Identities

Exploring the expansion of algebraic products and the three fundamental algebraic identities.

Key Questions

  1. 1How do geometric models help us visualize the product of two linear expressions?
  2. 2Why is it more efficient to recognize patterns in identities rather than expanding manually?
  3. 3In what ways can we prove the validity of an algebraic identity beyond numerical substitution?

MOE Syllabus Outcomes

MOE: Numbers and Algebra - S3MOE: Algebraic Expansion and Factorisation - S3
Level: Secondary 3
Subject: Mathematics
Unit: Algebraic Expansion and Factorisation
Period: Algebraic Thinking

Suggested Methodologies

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Factorisation Techniques

Developing strategies for reversing expansion through grouping and the cross method.

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