# Multi-age 3–6, mathematics, Year A – Unit 16

This 2-week, Year A unit develops the big idea that fractions represent multiple ideas and can be represented in different ways.

## Syllabus

Syllabus outcomes from Mathematics K–10 Syllabus (2022) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2024.

Students are provided opportunities to:

• create fractional and complementary parts of a length (Stage 2)
• model and represent unit fractions, and their multiples, to a complete whole on a number line (Stage 2)
• explore equivalence and multiplicative relationships of fractions (Stage 2)
• represent fractions using number lines, bar models, area models and discrete models (Stage 3)
• make connections between fractions, decimals, and percentages (Stage 3)
• apply efficient mental and written strategies to solve addition and subtraction problems (Stage 3).

## Syllabus outcomes and content groups

### Stage 2

Multiplicative relations A – MAO-WM-01, MA2-MR-01

Generate and describe patterns

Partitioned fractions A – MAO-WM-01, MA2-PF-01

• Create fractional parts of a length using techniques other than repeated halving
• Model and represent unit fractions, and their multiples, to complete a whole on a number line

Partitioned fractions B – MAO-WM-01, MA2-PF-01

• Model equivalent fractions as lengths
• Represent fractional quantities equal to and greater than one

### Stage 3

Represents numbers B – MAO-WM-01, MA3-RN-03

• Decimals and percentages: Make connections between benchmark fractions, decimals and percentages
• Decimals and percentages: Determine percentage discounts of 10%, 25% and 50%

Additive relations A – MAO-WM-01, MA3-AR-01

Apply efficient mental and written strategies to solve addition and subtraction problems

Representing quantity fractions A – MAO-WM-01, MA3-RQF-01, MA3-RQF-01

• Recognise the role of the number 1 as representing the whole
• Compare and order common unit fractions
• Solve problems involving addition and subtraction of fractions with the same denominator

Representing quantity fractions B – MAO-WM-01, MA3-RQF-01, MA3-RQF-01

Compare common fractions with related denominators

## Resource

Category:

• 3-6
• Mathematics (2022)
• Multiplicative relations
• Partitioned fractions
• Representing quantity fractions
• Represents numbers
• Unit