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GM3-1: Use linear scales and whole numbers of metric units for length, area, volume and capacity, weight (mass), angle, temperature, and time.

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Elaboration on this Achievement Objective

This means students will recognise that length, area, volume and capacity, weight, angle, and temperature are the characteristics (attributes) of objects people most commonly measure in everyday life. Time is a special attribute since it is not tangibly attached to physical objects. Measurement involves quantifying an attribute using units. Units of measure have characteristics including being a part of the attribute they measure and uniformity (same size). When measuring, the units need to fill a length, space, time etc., with no gaps or overlaps (this is known as tiling). At Level Three, students should be familiar with common units in the metric system for the attributes listed. These units include metres, centimetres, millimetres, and kilometres for length/distance, square and cubic centimetres, and metres for area and volume, kilograms and grams for weight, quarter and half turns for angles, degrees Celsius for temperature, and seconds, minutes, hours, days, etc for time. It is not expected that students will know the size relationships between measures though they should have opportunities to explore these relationships, for example 15cm = 150mm. Using measurement instruments involves reading linear scales (an analogue clock face is three connected linear scales). Students should understand that the marks on a linear scale show the endpoint of units and that scales always have a baseline (zero). Part of measurement is selecting the scale, with the precision of unit, suitable for a task. Level Three students should apply their additive and multiplicative number strategies to measurement problems that involve whole numbers of units, for example how many cubic centimetres will fit in this packet?

 

Teaching resources for this Achievement Objective
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Adam's watch

Level Three
Geometry and Measurement
Problem solving activities
This problem solving activity has a measurement focus.
  • Use an analogue clock to tell the time.
  • Apply logic to problems involving time.
  • Devise and use problem solving strategies to explore situations mathematically (use a diagram, be systematic).
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Adobe Bricks

Level Three
Integrated
Figure It Out activities
This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.A PDF of the student activity is included.

Students will:

  • multiply and divide to find quantities of bricks for given lengths, heights, and areas.

Students should discover that:

  • area is the product of length by width; volume is the product of length by width by height.
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An Absorbing Challenge

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement strand activity from the Figure It Out series.A PDF of the student activity is included.

find areas of irregular shapes

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An Eco-kennel

Level Three
Integrated
Figure It Out activities
This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.A PDF of the student activity is included.

Students will:

  • make a scale drawing of an eco-kennel to suit a given volume
  • scale up the drawing by specifi ed percentages.

Students should discover that:

  • volume is length by width by height
  • increasing dimensions by 50% or less can double the volume of a cuboid.
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A thousand seconds

Level Three
Integrated
Problem solving activities
This problem solving activity has a measurement focus.
  • Use seconds, minutes and hours.
  • Discuss the size of a thousand.
  • Read the time in digital and/or analogue form.
  • Devise and use problem solving strategies.
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Ball Bounce

Level Three
Integrated
Figure It Out activities
This is a level 3 activity from the Figure It Out series.A PDF of the student activity is included.
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Belonging

Level Three
Geometry and Measurement
Picture book activities
This is an activity based on the picture book Belonging
  • Students will be able to illustrate units of time using number lines and accurate linear scales.
  • Students will be able to use units of time to calculate the duration of events and make comparative statements.
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Boxing On

Level Three
Geometry and Measurement
Units of Work
This unit supports students to develop their ideas about capacity using standard units.
  • Construct three-dimensional objects using cubic centimetres and state their capacity.
  • Construct a model of one cubic metre.
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Breaking Bags

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement activity from the Figure it Out series.A PDF of the student activity is included.

measure mass

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Burning Issues

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement strand activity from the Figure It Out series.A PDF of the student activity is included.

interpret temperature charts

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Calibrating Clocks

Level Three
Geometry and Measurement
Units of Work
In this unit students construct several simple clocks including water clocks and pendulums. They investigate time as measured by these clocks and make comparisons with standard units of time.
  • Measure time in periods of up to 15 minutes.
  • Compare non standard and standard measurements for time.
  • Recognise the characteristics of a device that measures elapsed time. 
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Candle Trials

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement activity from the Figure it Out series. A PDF of the student activity is included.

carry out a scientific experiment involving measuring

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Can't Catch Me!

Level Three
Integrated
Figure It Out activities
This is a level 3 statistics and measurement activity from the Figure It Out theme series.

measure distances

measure times

record data on a graph

interpret patterns from the graph

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Challenging Times

Level Three
Integrated
Figure It Out activities
These are level 3 measurement and number problems from the Figure It Out series.A PDF of the student activity is included.

solve problems involving time (Problem 1)

explore fractions of regions (Problem 2)

solve problems using addition and logic strategies (Problem 3)

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Cooking Time

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement strand activity from the Figure It Out series.A PDF of the student activity is included.

solve problems involving time

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Cool Colours

Level Two
Level Three
Integrated
Figure It Out activities
This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.A PDF of the student activity is included.

Students will:

  • read a linear scale on a thermometer and record temperatures
  • plot 3 series on a time-series graph.

Students should discover that:

  • the slope of the graph (which represents the rate of change) is different for each tin
  • temperature change is proportional to volume (the larger a volume of300
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Cool It

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement activity from the Figure it Out series.A PDF of the student activity is included.

measure temperature using a thermometer

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Cotton Wool Catapults

Level Two
Level Three
Integrated
Figure It Out activities
This is a level 3 activity from the Figure It Out series.A PDF of the student activity is included.
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Dates and Shapes

Level Three
Integrated
Figure It Out activities
These are level 3 number, measurement, and geometry problems from the Figure It Out series.A PDF of the student activity is included.

use addition and a systematic approach to solve problems (Problem 1)

use addition strategies in the context of calendar problems (Problem 2)

use transformations to make triominoes (Problem 3)

use addition facts to solve capacity problems (Problem 4)

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Dining on Digits

Level Three
Integrated
Figure It Out activities
These are level 3 measurement and algebra problems from the Figure It Out series.A PDF of the student activity is included.

solve problems involving lengths (Problem 1)

solve problems involving patterns and addition (Problem 4)

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Doing Time

Level Three
Level Four
Level Five
Integrated
Secondary activities
In this activity students will explore activities relating to time.

finding time before and after a given time
writing times in different ways
working with 12 and 24 hour clocks
find fractions and decimals of an hour
solve problems involving time zones

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Don't Ditch the Boat

Level Three
Integrated
Figure It Out activities
This is a level 3 number and measurement activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.A PDF of the student activity is included.

find fractions of mass and volume

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Drop Zone

Level Three
Integrated
Figure It Out activities
This is a level 3 activity from the Figure It Out series.A PDF of the student activity is included.
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Dynamic Displays

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 activity from the Figure It Out series.A PDF of the student activity is included.
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Eyeball Estimates

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 link measurement activity from the Figure It Out series. It relates to Stage 6 and 7 of the Number Framework.

make estimates of measurements