Patterns of Change and Algebraic Reasoning · Algebraic Thinking

Binomial Expansion and Factorization

Exploring the structural relationship between expanded algebraic expressions and their factored forms using area models.

Key Questions

  1. 1How does the distributive law explain the visual area of a partitioned rectangle?
  2. 2Why is finding the highest common factor the first step in simplifying any expression?
  3. 3When is a quadratic expression considered irreducible over the set of rational numbers?

ACARA Content Descriptions

AC9M10A01AC9M10A02
Year: Year 10
Subject: Mathematics
Unit: Patterns of Change and Algebraic Reasoning
Period: Algebraic Thinking

Suggested Methodologies

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