Multiplying Expressions (no powers)

Simplify products of numbers and unlike variables, model them with area, and explain why powers are not used yet.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-8
New NZC (2026)
  • NZC26-P4-ALG-ER-K-Y9-01

Resources

  • Alpha textbook: Multiplying algebraic expressions, Ex 11.05, pg 179
  • Alpha textbook: Extras, PSD11C, pg 179
  • Other: Note: the alpha worksheet above also includes powers, which are covered in LO16.
  • CorbettMaths on multiplying expressions

Terminology

  • expression
  • factor
  • coefficient
  • variable
  • product
  • simplify
  • area
  • commutative
  • associative

Task goals

  • Multiply coefficients accurately in products such as $4a\times6b=24ab$ and $2a\times3b\times4=24ab$.
  • Gather unlike variables into one simplified product without using powers yet, for example $7x\times2y=14xy$.
  • Use rectangles and split shapes to write and simplify area expressions such as $7x\times2y$ and $2x\times6y+3x\times2y$.
  • Spot and correct common errors such as adding coefficients in $4x\times3y$ or moving too early to $x^2$ work.

Where this fits

What leads into this objective, and where it goes next.

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Multiplying Expressions (no powers)

Multiplying Expressions (no powers)

Know

The properties of operations (commutative, distributive, associative, inverse, and identity) and the order of operations apply to numbers and variables.

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-01

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