# 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.

**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.