# Fractions: applying the four operations

This guide provides a sequence of small steps for deepening understanding of fractions, from simplifying fractions to comparing and ordering fractions through to adding, subtracting, multiplying and dividing fractions.

Year level(s) Year 4, Year 5, Year 6
Audience Teacher
Purpose Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Questioning, Explicit teaching
Keywords equivalent, simplify, improper fractions, mixed numbers, explicit teaching

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding
Topics Addition and subtraction, Fractions, Multiplication and division, Operating with number
AC: Mathematics (V9.0) content descriptions
AC9M4N03
Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation

AC9M4N04
Count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines

AC9M5N03
Compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

AC9M5N05
Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

AC9M6N03
Apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order

AC9M6N05
Solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

AC9M6N07
Solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate

Counting processes (P8)
Interpreting fractions (P5, P6, P7, P8)
Multiplicative strategies (P9)
Proportional thinking (P2)
Understanding money (P8)