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GM5-2: Convert between metric units, using decimals.

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Elaboration on this Achievement Objective

This means that students will apply their knowledge of decimal place value to convert between units for the same attribute, for example between units for weight. They should know the meaning of prefixes used in the metric system that act as “scalars” on base units, for example “kilo” means one thousand, “centi” means one hundredth.

Students are able to convert between units for the same attribute (for example volume, mass) with more than 1 decimal place, for example 0.125 kg = 125g, or 17.5 cm = 0.175.

 

Teaching resources for this Achievement Objective
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Body Measurements

Level Five
Integrated
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number and measurement skills.

Design and use models to solve measuring problems in practical contexts.

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Fat in Foods

Level Five
Integrated
Figure It Out activities
This is a level 5 measurement strand activity from the Figure It Out series. It also has an achievement objective from the Level 5 Number strategies and knowledge substrand. A PDF of the student activity is included.

solve problems using ratios and units of mass

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Learning from the past

Level Five
Integrated
Rich learning activities
The purpose of this activity is to engage students in solving a measurement problem.
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Plentiful Plankton

Level Five
Integrated
Figure It Out activities
This is a level 5 measurement strand activity from the Figure It Out series. It also has an achievement objective from the Level 5 Number strategies and knowledge substrand. A PDF of the student activity is included.

calculate lengths in millimetres and micrometres

calculate scale factors

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Ratios

Level Five
Integrated
  • Convert between millilitres and litres.
  • Convert ratios to fraction and percentage expressions.
  • Find equivalent ratios.
  • Compare ratios.
  • Reduce ratios to simplest form using common factors.
  • Combine ratios.
  • Solve problems involving rates.
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Ratios

Level Five
Integrated
Units of Work
In this unit students work with ratios in the context of mixing fruit drinks and other situations.
  • Convert between millilitres and litres.
  • Convert ratios to fraction and percentage expressions.
  • Find equivalent ratios.
  • Compare ratios.
  • Reduce ratios to simplest form using common factors.
  • Combine ratios.
  • Solve problems involving rates.
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Rex's ransom

Level Five
Geometry and Measurement
Rich learning activities
The purpose of this activity is for students to apply metric units of length, volume, and mass to solve a problem in context.
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Sailing with Maths

Level Five
Integrated
Figure It Out activities
This is a level 5 number, measurement, and geometry activity from the Figure It Out theme series.

calculate rates of speed

convert between nautical miles and metres

use scales on maps to find distances

follow instructions of compass degrees and scale distances

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Slingshots

Level Five
Integrated
The purpose of this unit is to engage students in applying their understanding of measurement and algebra in investigating a physical system.
  • Solve problems involving the conservation of mechanical energy. 
  • Find elastic potential energy using graphs.
  • Determine the nature of the relationship between physical quantities (height and elastic stored energy) using a graph.
  • Use a physical property, elastic potential energy, to find an unknown300
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Television Views

Level Five
Integrated
Figure It Out activities
This is a level 5 measurement strand activity from the Figure It Out series. It also has an achievement objective from the Level 5 Number strategies and knowledge substrand. A PDF of the student activity is included.

use ratios to find unknown lengths

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The ski jump

Level Five
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in converting metric units to solve a problem.