Standard Measurement – Ratios and rates

This lesson comprises two (2) master classes focusing on:

• Rates in everyday problems
• Ratios in everyday problems
• International System of Units

Content:

MS-M7

• Use rates to solve and describe practical problems
  • use rates to make comparisons, eg using unit prices to compare best buys, working with speed, comparing heart rates after exercise and considering target heart rate ranges during training
  • know that a watt (W) is the International System of Units (SI) derived unit of power and is equal to one joule per second
  • interpret the energy rating of household appliances and compare running costs of different models of the same type of appliance, considering costs of domestic electricity, eg calculate the cost of running a 200-watt television for six hours if the average peak rate for domestic electricity is $0.15/kWh
  • investigate local council requirements for energy-efficient housing
  • calculate the amount of fuel used on a trip, given the fuel consumption rate, and compare fuel consumption statistics for various vehicles
• Solve practical problems involving ratio, for example capture-recapture, mixtures for building materials or cost per item
  • work with ratio to express a ratio in simplest form, to find the ratio of two quantities and to divide a quantity in a given ratio
  • use ratio to describe map scales
• Obtain measurements from scale drawings, including maps (including cultural mappings or models) or building plans, to solve problems
  • interpret commonly used symbols and abbreviations on building plans and elevation views
  • calculate the perimeter or area of a section of land, using the Trapezoidal rule where appropriate, from a variety of sources, including a site plan, an aerial photograph, radial surveys or maps that include a scale
  • calculate the volume of rainfall over an area, using \( V=Ah \), from a variety of sources, including a site plan, an aerial photograph, radial surveys or maps that include a scale