Converting currency using an exchange rate, and working with ratios

Convert between currencies using a given exchange rate by the unitary method, and write, simplify, share, and apply ratios (including three-part ratios) to real quantities.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-4
New NZC (2026)
  • NZC26-P4-NUM-FIN-K-Y10-01
  • NZC26-P4-NUM-FIN-P-Y10-01

Resources

Terminology

  • exchange rate
  • unitary method
  • ratio
  • share in a ratio
  • commission

Task goals

  • Convert an amount from NZD to a foreign currency using a given exchange rate (e.g. 1 NZD = 0.90 AUD) via the unitary method.
  • Convert an amount from a foreign currency back to NZD using a given exchange rate.
  • Write a ratio from a described quantity (e.g. the ratio of red to blue marbles) and simplify a ratio to its lowest terms.
  • Use a given ratio to find an unknown quantity from a known one (e.g. how many oranges go with 4 apples in a 2:3 ratio).
  • Share an amount in a given two-part or three-part ratio, giving all resulting amounts.
  • Round a currency conversion to the nearest cent, and apply a percentage commission to a converted amount.
  • Compare two different exchange rates or kiosks for the same conversion, and solve multi-step problems that chain a conversion with a fee, a rate change, or a second conversion.
  • Apply a ratio to a real quantity in context, including three-part ratios and map-scale problems, to find an unknown share or distance.

Where this fits

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

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Converting currency using an exchange rate, and working with ratios

Converting currency using an exchange rate, and working with ratios

Know

Percentages, ratios, rates, and proportions are often applied in financial situations.

Statement▸
Year 10 · Number · Financial mathematics
NZC26-P4-NUM-FIN-K-Y10-01
Do

Converting New Zealand dollars into other currencies, and vice versa

Statement▸
Year 10 · Number · Financial mathematics
NZC26-P4-NUM-FIN-P-Y10-01

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