Year 9: Paving Problem

Objectives

• ACMNA213: Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate.

Vocabulary

• Factorise
• Expand
• Simplify

About the Lesson

A square garden bed is surrounded by pavers, how many pavers are required for a 1m x 1m garden? What about a 2m x 2m or n x n garden. Students use animations that support the development of the rules followed by algebraic techniques such as factorise, expand and simply to illustrate that these abstract algebraic representations are equivalent. Students take this knowledge and experience and apply it to a different style of garden bed.