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GM4-2: Convert between metric units, using whole numbers and commonly used decimals.

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Elaboration on this Achievement Objective

This means 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. Conversions are restricted to convertinhg between whole number or decimal measures involving tenths, for example 0.6ha = 6000m2 or 675mm = 67.5cm.

 

Teaching resources for this Achievement Objective
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A Measured Response

Level Four
Integrated
Units of Work
The purpose of this unit is to have students identify a need, plan a response, seek feedback, design and build a ‘product’, applying number, measurement and technology knowledge and skills.
  • Identify a utility need or opportunity within the school and plan a response .
  • Create a design incorporating key attributes identified.
  • Investigate quality and comparative costs of possible construction materials.
  • Cost ‘fit for purpose’ construction materials and prepare a budget.
  • Draw plans300
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A Model World

Level Four
Integrated
Units of Work
The purpose of this unit is for students to apply and refine their measurement skills and to develop an understanding of enlargement and reduction, through making scale models to be used in a short, animated stop-motion film.
  • Understand and describe proportion using the language of mathematics.
  • Understand the principles of scale.
  • Create scale drawings.
  • Calculate scale dimensions.
  • Make accurate metric length measurements.
  • Understand that the value of the scale factor of a reduction is less than 1 and for an enlargement is300
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Andrew's Caravan

Level Four
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in solving a problem using measurements that are not in a compatible format.
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Can You?

Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement activity from the Figure it Out series.A PDF of the student activity is included.

sovle problems involving measurement units

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Catering for Size

Level Four
Integrated
The purpose of this unit is to engage students in applying their knowledge of measurement to solve problems involving food technology.
  • Identify, quantify, and represent, using graphs and expressions, the effect of a scale in time contexts.
  • Describe, apply, and graph linear relationships to solve problems involving time, temperature, and mass.
  • Scale, convert, compare, and apply metric measurements to solve problems involving grams and300
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Cellphone Confusion

Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

work with rates and make comparison

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Divide and Prosper

Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

draw scale diagrams for length and area problems

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Emergency Shelters

Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 activity from the Figure It Out series.A PDF of the student activity is included.
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Energy Stations

Level Four
Integrated
Figure It Out activities
This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.A PDF of the student activity is included.

Students will:

  • estimate the energy change of a system
  • calculate the amount of energy converted by different activities
  • use rates to determine inputs and/or outputs.

Students should discover that:

  • energy transfer is proportional to work (the more force x distance, the more energy)
  • different forms of energy300
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Growing in Water

Level Three
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement activity from the Figure it Out series. It also has a Level 3 Transformation achievement objective. A PDF of the student activity is included.

explore enlargements

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How fast is fast?

Level Four
Integrated
Units of Work
This unit is designed to provide students with a measurement context in which rates are used. Students will calculate speed from distance and time and apply number strategies as they convert between units.
  • Calculate speed from measured distance and time.
  • Solve multiplication problems using appropriate strategies (e.g. doubling and halving).
  • Use known multiplication facts to solve multiplication problems.
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Hut building

Level Four
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in relating two dimensional projections to a three dimensional perspective in the context of a scale and unit conversion measurement problem.
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Improbable sports

Level Four
Integrated
The purpose of this unit is to engage the student in applying their knowledge and skills of measurement and algebra within the science learning area; to investigate a physical system.

Students develop their skills and knowledge on the mathematics learning progressions measurement sense and using symbols and expressions to think mathematically, in the context of time and motion in sports. 

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Little Links

Level Four
Level Five
Geometry and Measurement
Figure It Out activities
This is a level 4 and 5 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

calculate lengths involving millimetres

apply circle formulae

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Petrol Power

Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

convert between litres and cubic centimetres

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Spaced Out

Level Four
Geometry and Measurement
Units of Work
This unit explores the volume (in cubic units) of skyscraper constructions. Students investigate the most efficient way to pack cuboids in a confined space, and the relationship between millilitres and cubic centimetres
  • Use a formula to calculate the volume of cuboids by measuring the length of each of the three dimensions.
  • Investigate the relationship between millilitres and cubic centimetres.
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Team Puzzles

Level Four
Geometry and Measurement
Units of Work
This unit requires students to enlarge and reduce two-dimensional mathematical shapes by a scale factor. As students work in co-operative teams of four to complete a puzzle, they use a ruler, compass and protractor.
  • Follow instructions, in diagram form, to construct two-dimensional mathematical shapes, e.g. triangles, quadrilaterals, pentagons and hexagons.
  • Enlarge and reduce two-dimensional mathematical shapes by a given scale factor.
  • Identify invariant properties when enlarging and reducing two300
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The 50 Day Challenge

Level Four
Integrated
Rich learning activities
The purpose of this activity is to engage students in solving a problem using measurement and arithmetic techniques.
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Volcanic Volumes

Level Four
Integrated
Figure It Out activities
This is a level 4 measurement and 5 number activity from the Figure It Out theme series. A PDF of the student activity is included.

write large numbers in standard form

convert between km3 and m3

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Waka Ama

Level Four
Integrated
Figure It Out activities
This is a level 4 measurement and number activity from the Figure It Out theme series.

convert between time units

solve problems involving time, distance, and stroke rate

calculate speed

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Weighty Water

Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

solve problems involving mass and volume