# Multi-age K–2, mathematics, Year A – Unit 03

Introduce students to measurement using direct and indirect comparison through this multi-age sample unit – What needs to be measured determines the unit of measurement.

## 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:

- compare, order and match using direct comparison and informal units
- estimate whether a measure is reasonable
- consider how selection of measuring unit affects accuracy
- explore conservation of length, area, volume, and mass.

## Syllabus focus area and content groups

**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

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

Length: Use direct and indirect comparisons to decide which is longer

**Two-dimensional spatial structure – MAO-WM-01, MAE-2DS-01, MAE-2DS-02**

- 2D shapes: Sort, describe and name familiar shapes
- 2D shapes: Represent shapes
- Area: Identify and compare area

**Three-dimensional spatial structure – MAO-WM-01, MAE-3DS-01, MAE-3DS-02**

- 3D objects: Explore familiar three-dimensional objects
- Volume: Compare internal volume by filling and packing
- Volume: Compare volume by building

**Non-spatial measure – MAO-WM-01, MAE-NSM-01**

Mass: Identify and compare mass using weight

**Data – MAO-WM-01, MAE-DATA-01**

Organise objects into simple data displays and interpret the displays

**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

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

Part B – Represent and explain multiplication as the combining of equal groups

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

- Part A – Length: Measure the lengths of objects using uniform informal units
- Part A – Length: Compare lengths using uniform informal units
- Part B – Length: Compare and order lengths, using appropriate uniform informal units

**Two-dimensional spatial structure – MAO-WM-01, MA1-2DS-01**

- Part A – 2D shapes: Recognise and classify shapes using obvious features
- Part A – Area: Measure areas using uniform informal units
- Part A – Area: Indirectly compare area
- Part B – Area: Compare rectangular areas using uniform square units of an appropriate size in rows and columns

**Three-dimensional spatial structure – MAO-WM-01, MA1-3DS-01**

- Part A – Volume: Measure and compare the internal volumes (capacities) of containers by filling
- Part A – Volume: Measure the internal volume (capacity) of containers by packing
- Part B –Volume: Compare containers based on internal volume (capacity) by filling and packing

**Non-spatial measure – MAO-WM-01, MA1-NSM-01**

Mass: Investigate mass using an equal arm-balance

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

Represent data with objects and drawings and describe the displays