# Multi-age K–2, mathematics, Year A – Unit 15

Develop students' knowledge, understanding and skills of rational numbers and fractions with this two-week, multi-age sample unit – A fraction (like one half) can mean half of a measure or half of a collection.

## Syllabus

Syllabus outcomes and content descriptors from the 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 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 – MAO-WM-01, MAE-RWN-01, MAE-RWN-02**

- Use the counting sequence of ones flexibly
- Recognise number patterns
- Connect counting and numerals to quantities

**Combining and separating quantities – MAO-WM-01, MAE-CSQ-01, MAE-CSQ-02**

- Model additive relations and compare quantities
- Identify part-whole relationships in numbers up to 10

**Combining and separating quantities – MAO-WM-01, MAE-CSQ-01, MAE-CSQ-02**

Identify part-whole relationships in numbers up to 10

**Forming groups – MAO-WM-01, MAE-FG-01, MAE-FG-02**

- Copy, continue and create patterns
- Investigate and form equal groups by sharing
- Record grouping and sharing

**Geometric measure – MAO-WM-01, MAE-GM-02, MAE-GM-03**

Create half a length

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

- Part A – Use counting sequences of ones with two-digit numbers and beyond
- Part A – Continue and create number patterns
- Part A – Represent numbers on a line
- Part B – Represent the structure of groups of ten in whole numbers
- Part B – Use counting sequences of ones and tens flexibly

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

Part A – Recognise and recall number bonds up to ten

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

- Part A – Count in multiples using rhythmic and skip counting
- Part A – Recognise and represent division
- Part B – Model doubling and halving with fractions

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

- Part A – Length: Compare lengths using uniform informal units
- Part A – Length: Subdivide lengths to find halves and quarters
- Part B – Length: Repeatedly halve lengths to form eighths
- Part B – Length: Recognise and use formal units to measure the lengths of objects