Rates and compound measures (speed, density, and best buys)

Calculate and compare rates and compound measures (speed, density, and unit price/best buys) using the product relationship top = left x right, and interpret distance-time and speed-time graphs.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

Terminology

  • Rate
  • Compound measure
  • Derived unit
  • Speed
  • Distance
  • Density
  • Unit rate
  • Best buy

Task goals

  • Calculate speed given distance and time, using speed = distance / time.
  • Rearrange the same relationship to find distance (= speed x time) or time (= distance / speed).
  • Apply the same product-relationship structure to density (mass, volume) and unit price (cost, quantity) to compare best buys.
  • Compare two or more unit rates to decide which option is better value.
  • Interpret a distance-time or speed-time graph: read off values, identify stationary/constant-speed sections, and find the speed represented by a section's gradient.

Key skills

  • Rates
  • Speed distance time
  • Compound measures
  • Density
  • Unit rate
  • Best buys

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included
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