# Learning Continuum of Numeracy

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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