This element involves students developing an understanding of the meaning of fractions and decimals, their representations as percentages, ratios and rates, and how they can be applied in real-life situations.
Students visualise, order and describe shapes and objects using their proportions and the relationships of percentages, ratios and rates to solve problems in authentic contexts. In developing and acting with numeracy, students:
- interpret proportional reasoning
- apply proportional reasoning.
Level 3
Typically by the end of Year 4, students:
Interpret proportional reasoning
visualise, describe and order tenths, hundredths, 1-place and 2-place decimals
Apply proportional reasoning
solve problems using equivalent fractions for tenths, hundredths, 1-place and 2-place decimals
Level 4
Typically by the end of Year 6, students:
Interpret proportional reasoning
visualise, describe and order equivalent fractions, decimals and simple percentages
Apply proportional reasoning
solve problems using equivalent fractions, decimals and simple percentages
Level 5
Typically by the end of Year 8, students:
Interpret proportional reasoning
visualise and describe the proportions of percentages, ratios and rates
Apply proportional reasoning
solve problems using simple percentages, ratios and rates