Volume is the measure of space taken up by a threedimensional object. The space within a container is known as its capacity but as the thickness of many containers is negligible, it has become acceptable to refer to the space inside as volume too. (The terms volume and capacity are used interchangeably throughout the measurement strand of the NZ curriculum document although the glossary defines capacity as the interior volume of an object.)
Two different practical situations need to be experienced by students as they learn about volume. One relates to experiences involving "how much space does a threedimensional object occupy?" which eventually leads to measures of volume derived from measuring the length of the object’s dimensions. The other set of experiences relates to measures of fluids.
Level 1 Volume and Capacity
Achievement Objectives 
Learning Outcomes 
Unit title 
GM11

 push, pull, lift and handle objects in order to become aware of mass
 compares 2 masses by pushing and lifting
 pack materials and fill containers
 pour liquids from and into containers

Tricky Bags

 compare the volume of two containers by packing or pouring
 order the volume of three or more containers by packing or pouring
 recognise that two matched amounts of liquid remain the same when one amount is poured into a container of a different shape.

Three Bears 
GM11
NA12 
 use non standard units to measure the volume of a container
 accurately count a set of up to 20 objects

Dino Cylinders 
 develop an understanding of 100 and the quantity for which it stands
 understand the relationship between 100 and 10

Counting on Measurement 
Level 2 Volume and Capacity
Achievement Objectives 
Learning Outcomes 
Unit title 
GM21

 use nonstandard volume units (cups, spoons, bowls) to fill a container and count the number used
 recognise the need for a standard unit of volume
 measure to the nearest litre and half litre by using litre containers to fill and count

Popcorn 
 accurately measure volume using standard kitchen measuring cups

How Much Cereal? 
Level 3 Volume and Capacity
Achievement Objectives 
Learning Outcomes 
Unit title 
GM31

 estimate volume using litres and millilitres
 accurately measure volume using litres and millilitres

Party Volumes 
 recognise the need for a standard unit of volume
 measure volume using teaspoons and table spoons
 convert between units of volume: teaspoons, tablespoons, half and quarter cups

Rainbow Jelly 
 construct threedimensional objects using cubic centimetres and state their volume
 construct a model of a one cubic metre

Boxing on 
 recognise that objects have many measurable attributes
 identify and measure attributes of common objects

Oranges L3 
 Use objects of 1 litre volume to estimate the volume of other objects.
 Understand the need for standard measures of volume.
 Make sensible estimates about the volume of given objects.
 Carry out conversions between standard measures of volume (millilitres to litres).

Making benchmarks: volume 
GM31
NA31 
 recognise the need for a standard unit of volume
 estimate and measure to the nearest litre
 relate the litre to familiar everyday containers

Slosh, Dribble and Plop 
Level 4 Volume and Capacity
Achievement Objectives 
Learning Outcomes 
Unit title 
GM41

 recognise that objects have many measurable attributes
 identify and accurately measure attributes of common objects

Oranges L4 
GM41
GM42 
 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

Spaced Out 
GM41
GM43

 plan a mathematical investigation in a group.
 take measurements and make calculations to complete an investigation
 Interpret the accuracy of the investigation

Measurement investigations I 
GM43

 understand and apply the rule ‘area of triangle equals half base times height’
 connect the area of a parallelogram to the area of the rectangle from which it can be created
 find the volumes of cuboids with whole number dimensions

Areas and volumes 
Level 5 Volume and Capacity
Achievement Objectives 
Learning Outcomes 
Unit title 
GM51

 plan a mathematical investigation in a group.
 take measurements to make calculations to complete an investigation
 interpret the accuracy of the investigation

Measurement investigations II 
GM51
NA51
NA54 
 convert between millilitres and litres
 convert ratios to fraction and percentage expressions
 compare ratios
 combine ratios
 solve problems involving rates

Ratios 
GM54
GM59
NA54 
 use scale factors to investigate areas being enlarged
 use scale factors to investigate volumes being enlarged
 solve real life context problems involving scale factors

Scale Factors 