VC2M7A05 Official strand: Algebra

From a growing picture to a graph

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Generate tables, find a rule and plot input-output pairs.

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Use y = 3x + 3. What output belongs to input x = 3?

A function table with outputs generated by y = 3x + 3. Input x Output y 0 3 1 6 2 9 3 12 4 15
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A function table with outputs generated by y = 3x + 3.

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Answer: 12

  1. Multiply the input 3 by 3.
  2. Add the fixed 3: y = 12.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Generate tables, find a rule and plot input-output pairs.

Read the official VCAA curriculum description (VC2M7A05)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M7A05-C01An input-output rule assigns an output to each permitted input. Record matching values in the same row. On a Cartesian plot, write input first and output second: (x, y).
  2. VC2M7A05-C02Use the starting output and repeated change to describe a linear pattern. Plot each matching pair with labelled axes. Extend the table using its actual rule, not just a guessed visual continuation.
  3. VC2M7A05-C03A whole-number stage pattern does not automatically have meaningful half-stages. Distinguish the algebraic extension from the physical construction. Check a spreadsheet against multiple rows, including the fixed term and changes between inputs.
  4. VC2M7A05-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.

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Subskills

These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.

Descriptor-derived subskills

  1. D01
    Connect a rule and a tableAn input-output rule assigns an output to each permitted input. Record matching values in the same row. On a Cartesian plot, write input first and output second: (x, y).
  2. D02
    Connect tables and graphsUse the starting output and repeated change to describe a linear pattern. Plot each matching pair with labelled axes. Extend the table using its actual rule, not just a guessed visual continuation.
  3. D03
    Check a pattern’s domain and ruleA whole-number stage pattern does not automatically have meaningful half-stages. Distinguish the algebraic extension from the physical construction. Check a spreadsheet against multiple rows, including the fixed term and changes between inputs.
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