 # Fractions: tenths, equivalence and applying operations

This guide provides a sequence of small steps for deepening understanding of fractions, from using models to partition a whole into fractional parts through to finding the fraction of an amount, and adding and subtracting fractions.

Year level(s) Year 3, Year 4, Year 5
Audience Teacher
Purpose Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Questioning, Concrete Representational Abstract model, Explicit teaching
Keywords equivalent fractions, comparing, ordering, adding fractions, subtracting fractions, bar model, explicit teaching

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Build understanding
AC: Mathematics content descriptions
ACMNA058 Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole
ACMNA078 Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line
ACMNA079 Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation
ACMNA102 Compare and order common unit fractions and locate and represent them on a number line
ACMNA103 Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
National numeracy learning progression Interpreting fractions - InF5, InF6, InF7
Multiplicative strategies