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

This 2-week, Year B 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:

• explore equivalence and multiplicative relationships of fractions (Stage 2)
• represent fractional quantities equal to and greater than one on a number line (Stage 2)
• make connections between fractions and decimal notation (Stage 2)
• make connections between benchmark fractions, decimals and percentages (Stage 3)
• compare common fractions with related denominators (Stage 3)
• solve problems involving addition and subtraction of fractions with related denominators (Stage 3).

## Syllabus outcomes and content groups

### Stage 2

Representing numbers using place value B – MAO-WM-01, MA2-RN-02

• Decimals: Extend the application of the place value system from whole numbers to tenths and hundredths
• Decimals: Make connections between fractions and decimal notation

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

Generate and describe patterns

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

Investigate number sequences involving related multiples

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

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

Representing number B – MAO-WM-01, MA3-RN-03

Make connections between benchmark fractions, decimals and percentages

Representing quantity fractions A – MAO-WM-01, MA3-RQF-01, MA3-RQF-02

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

Representing quantity fractions B – MAO-WM-01, MA3-RQF-01, MA3-RQF-02

• Compare common fractions with related denominators
• Build up to the whole from a given fractional part
• Use equivalence to add and subtract fractional quantities
• Find fractional quantities of whole numbers (halves, quarters, fifths and tenths)

Chance B – MAO-WM-01, MA3-CHAN-01

Create random generators and describe probabilities using fractions

## Resource

Category:

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