VC2M7A06 Official strand: Algebra

Vary quantities in a formula

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Use digital tables to investigate one variable at a time.

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The table uses V = l × w × h. Which variable is changed systematically from row to row?

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A table evaluates V = l × w × h while length and width stay fixed.

AWidth w BHeight h CLength l DBoth length l and width w

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Answer: Height h

Compare the input columns, not just the output volume.
l stays 3, w stays 4, and h increases by one each row.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Use digital tables to investigate one variable at a time.

Read the official VCAA curriculum description (VC2M7A06)

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VC2M7A06-C01A table makes formula changes visible. For V = lwh, keep length and width fixed while changing height. Label every column and distinguish input variables from the output being calculated.
VC2M7A06-C02If one input increases by a fixed step, compare the output changes between rows. Multiplicative formulas and additive fixed terms behave differently. A fixed charge cancels when you subtract two total costs with the same charge.
VC2M7A06-C03Multiply the effects of multiplicative changes: doubling one factor and tripling another multiplies the product by six. Doubling one factor while halving another preserves their product. Check the whole formula, including unchanged terms, before claiming an output is invariant.
VC2M7A06-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.

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D01
Hold some inputs fixedA table makes formula changes visible. For V = lwh, keep length and width fixed while changing height. Label every column and distinguish input variables from the output being calculated.
D02
Compare systematic changesIf one input increases by a fixed step, compare the output changes between rows. Multiplicative formulas and additive fixed terms behave differently. A fixed charge cancels when you subtract two total costs with the same charge.
D03
Change several variables carefullyMultiply the effects of multiplicative changes: doubling one factor and tripling another multiplies the product by six. Doubling one factor while halving another preserves their product. Check the whole formula, including unchanged terms, before claiming an output is invariant.