Defining Variables & Forming Equations

Define variables to represent unknown quantities and translate word problems or real-world situations into algebraic equations.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-7
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-11

Resources

  • Alpha textbook: Forming equations, Ex 14.01, pg 219
  • Alpha textbook: Making up equations, Ex 14.16, pg 236
  • Other: The CorbettMaths resource also includes solving; use its forming-equation parts here or revisit it after solving equations.
  • CorbettMaths on forming equationsQuestions PDF · Answers

Terminology

  • variable
  • unknown
  • equation
  • expression
  • algebraic
  • solution
  • symbol
  • quantity
  • relationship
  • constraint

Task goals

  • Define a variable clearly for an unknown quantity, stating what it represents and its units where relevant.
  • Translate a word phrase (such as a fee plus a rate, or a sum of related quantities) into an algebraic expression.
  • Form a linear equation from a real-world word problem by combining a defined variable, an expression, and a stated total.
  • Match a given equation to the word description it represents, and explain why it is or is not a correct match.
  • Identify and explain an error in an incorrectly formed equation, such as a mismatched variable or an omitted term.

Where this fits

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

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Defining Variables & Forming Equations

Defining Variables & Forming Equations

Do

Identifying the constant increase or decrease in a linear pattern, using variables and algebraic notation to represent the rule in an equation, and drawing on the rule to make conjectures

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-11

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