# Percentages: understanding, converting and calculating

This guide provides a sequence of small steps for understanding and using percentages, from understanding percentage in terms of quantity and how it relates to fractions and decimals, through to calculating the percentage of an amount.

Year level(s) Year 5, Year 6
Audience Teacher
Purpose Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Questioning, Explicit teaching
Keywords bar model, hundred square, reasoning, problem-solving, explicit teaching

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding
Topics Percentage, Decimals, Fractions, Multiplication and division
AC: Mathematics (V9.0) content descriptions
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

AC9M6N09
Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made

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