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prop & ratios stage 7/8

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Planning notes

Need to learn about percentages and hard ratios

Focus Achievement Objectives
NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
NA5-3: Understand operations on fractions, decimals, percentages, and integers.
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Pondering Percentages

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. A PDF of the student activity is included.

find a percentage of a whole number

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Scaling our school

Level Four
Integrated
Units of Work
In this unit we estimate the length and height of buildings at our school. We compare these estimates with the actual heights or lengths and build scale models. Students select appropriate scales using ratio to translate the real dimensions into the dimensions for the scale model.
  • Calculate measurements for simple scale models.
  • Determine measures of height indirectly.
  • Apply ratio knowledge to a measurement context.
  • Make reasonable estimates of the height and length of a building.
  • Measure length accurately to produce simple scale models.
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This is to That

Level Four
Number and Algebra
Units of Work
This unit focuses on ratios that illustrate relationships between two different measures with the same unit, for example, 100g almonds for every 200g of hazelnuts. Part-whole fractions in ratios are also explored.
  • Apply “times as many” relationships to sets of objects.
  • Interpret “times as many” as ratios.
  • Given a ratio, find relative numbers of objects.
  • Given a ratio, find the relevant fractions.
  • Given fractions making a whole, find the relevant ratio.
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Choices

Level Four
Number and Algebra
Units of Work
This unit is about making best option decisions in real-life situations based on cost. Common examples of such decisions are explored, including the cost of taxis, cooking times, hire cars, and mobile phones.
  • Calculate the cost of hiring a taxi, hiring a car, and using a phone, and the cooking time for meat.
  • Compare the costs of different plans.
  • Represent linear relationships using graphs.
  • Use graphs to make decisions about the best deal.
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Choices

Level Four
Number and Algebra
Units of Work
This unit is about making best option decisions in real-life situations based on cost. Common examples of such decisions are explored, including the cost of taxis, cooking times, hire cars, and mobile phones.
  • Calculate the cost of hiring a taxi, hiring a car, and using a phone, and the cooking time for meat.
  • Compare the costs of different plans.
  • Represent linear relationships using graphs.
  • Use graphs to make decisions about the best deal.
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Extending Mixing Colours

Level Five
Number and Algebra
Numeracy activities

Solve problems involving ratios.

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Sharing in Ratios

Level Five
Number and Algebra
Numeracy activities

Solve problems involving ratios.

The files will download as a zip archive. Double-click on the archive file to extract the attachments on your computer.