Students discover the relationships between capacities of various sized containers. Students explore proportional relationships by filling a container and squirting liquid between containers then express the relationship algebraically.
Teacher notes
- Students squirt liquid from one container to another to determine the quantitative relationship between the capacities of containers.
- Students express proportional relationships using mathematical notation.
- Students use the transitive property of equality to find the relationship between two or three variables.
- Randomised generation of containers with a range of volumes and relationships supports repeated use.
Learning objects
| Squirt: two containers: level 1 Students express proportional relationships between two objects that vary in diameter and height, eg A = 2 x B. |
| Squirt: two containers: level 2 Students express proportional relationships using two containers that vary in diameter, height and shape, eg A = 2 x B. |
| Squirt: two containers 'Squirt: two containers' is an aggregated learning object combining Squirt: two containers level 1 and level 2. |
| Squirt: three containers: level 1 Students express proportional relationships using three containers. Students squirt liquid between containers to work out the relationship between A and B, and B and C. They then use the information in the first two problems to identify the relationship between A and C. The containers vary in diameter and height. |
| Squirt: three containers: level 2 Students work out the relationship between A and B, and B and C. They then use the information in the first two problems to identify the relationship between A and C. The containers vary in diameter, height and shape. |
| Squirt: three containers This is an aggregated learning object combining Squirt: three containers level 1 and level 2. |
| Squirt: three containers: complex proportional relationships Students use ratios and proportions to represent complex quantitative relationships between three containers. They solve complex problems involving ratios. Students squirt liquid between containers to work out the relationship between A and B, and B and C. They then use the information in the first two problems to identify the relationship between A and C, eg A = 3/5 C. The containers vary in diameter, height and shape. |