 # Decimals and percentages: understanding, ordering and comparing

This guide provides a sequence of small steps for learning to represent values between whole numbers, from representing numbers to two decimal places using models through to ordering and comparing decimals and understanding percentages.

Year level(s) Year 4, Year 5
Audience Teacher
Purpose Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Questioning, Concrete Representational Abstract model, Explicit teaching
Keywords decimals, decimal place, fractions, tenths, hundredths, thousandths, ordering, comparing, percentages, equivalence, equivalent, reasoning, problem-solving, rounding, explicit teaching

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding
Topics Decimals, Fractions, Percentage, Place value
AC: Mathematics (V9.0) content descriptions
AC9M4N01
Recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimals

AC9M5N01
Interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

AC9M5N04
Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents

Numeracy progression Number and place value (P7, P8)
Interpreting fractions (P6)
Proportional thinking (P1)