# Stage 1, mathematics, Year A – Unit 15

This two-week unit develops student’s knowledge, understanding and skills of rational numbers and fractions.

In this unit, 'A fraction (like one half) can mean half of a measure or half of a collection', students are provided opportunities to:

• explore that a fraction, such as one half, can mean half of a collection, half of an object or half of a measure
• understand that a fraction is a number
• investigate that when a whole is cut or partitioned into equal parts, the number of parts increases but the size of each part is smaller (decreases)
• develop an understanding that a fraction which describes two equal partitions of a whole, and four equal partitions of a whole, have a name, half and quarter
• demonstrate that there is more than one way to create a half of a collection, an object or a measure
• recognise that not all partitions of a whole will result in equal shares, but instead have leftovers or a remainder which sometimes can be partitioned further
• apply knowledge of equal partitioning to solve problems with remainders.

### Syllabus focus and content groups

Representing whole numbers A – MAO-WM-01, MA1-RWN-01, MA1-RWN-02

• Use counting sequences of ones with two-digit numbers and beyond
• Continue and create number patterns
• Represent numbers on a line
• Represent the structure of groups of ten in whole numbers

Representing whole numbers B – MAO-WM-01, MA1-RWN-01, MA1-RWN-02

Use counting sequences of ones and tens flexibly

Combining and separating quantities A – MAO-WM-01, MA1-CSQ-01

Recognise and recall number bonds up to ten

Forming groups A – MAO-WM-01, MA1-FG-01

Recognise and represent division

Forming groups B – MAO-WM-01, MA1-FG-01

Model doubling and halving with fractions

Geometric measure A – MAO-WM-01, MA1-GM-01, MA1-GM-02, MA1-GM-03

• Length: Compare lengths using uniform informal units
• Lengths: Subdivide lengths to find halves and quarters

Geometric measure B – MAO-WM-01, MA1-GM-01, MA1-GM-02, MA1-GM-03

• Length: Recognise and use formal units to measure the lengths of objects
• Lengths: Repeatedly halve lengths to form eighths

## Syllabus

Syllabus outcomes and content descriptors 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.

Category:

• Combining and separating quantities
• Forming groups
• Geometric measure
• Mathematics (2022)
• Representing whole numbers
• Stage 1
• Unit