# Multi-age K–2, mathematics, Year B – Unit 09

This unit develops understanding and skills of forming groups and combining and separating.

## 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.

In this unit students will learn to:

• choose and evaluate strategies to combine, separate, and form groups
• use concrete materials, drawings, words, numerals and/or symbols to describe and explain mathematical operations
• understand that the order in which 2 quantities are combined does not change the result
• explore the inverse relation between addition and subtraction (Stage 1)
• apply knowledge of related facts (number combinations to 10 and/or 20)
• use repeated addition to solve multiplication problems.

## Syllabus focus and content groups

### Early Stage 1

Representing whole numbers – MAO-WM-01, MAE-RWN-01, MAE-RWN-02

• Instantly name the number of objects within small collections
• 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

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

Data – MAO-WM-01, MAE-DATA-01

Organise objects into simple data displays and interpret the displays

### Stage 1

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 A – Represent the structure of groups of ten in whole numbers
• Part B – Use counting sequences of ones and tens flexibly
• Part B – Form, regroup, and rename three-digit numbers

Combining and separating quantities – MAO-WM-01, MA1-CSQ-01, MA1-CSQ-02

• Part A – Use advanced count-by-one strategies to solve addition and subtraction problems
• Part A – Recognise and recall number bonds up to ten
• Part A – Use flexible strategies to solve addition and subtraction problems
• Part A – Represent equality
• Part B – Form multiples of ten when adding and subtracting two-digit numbers
• Part B – Use knowledge of equality to solve related problems

Forming groups – MAO-WM-01, MA1-FG-01

• Part A – Count in multiples using rhythmic and skip counting
• Part A – Use skip counting patterns
• Part A – Model and use equal groups of objects to represent multiplication
• Part A – Recognise and represent division
• Part B – Represent and explain multiplication as the combining of equal groups
• Part B – Model doubling and halving with fractions
• Part B – Represent multiplication and division problems

Data – MAO-WM-01, MA1-DATA-01, MA1-DATA-02

• Part A – Ask questions and gather data
• Part A – Represent data with objects and drawings and describe the displays

## Resource

Category:

• Combining and separating quantities
• Forming groups
• K-2
• Mathematics (2022)
• Representing whole numbers
• Unit