# Multi-age K–2, mathematics, Year A – Unit 05

Explore two-dimensional shapes in this multi-age sample unit – New shapes can be made by joining (combining) or partitioning (breaking apart) existing shapes.

## 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:

- identify and describe two-dimensional (2D) shapes
- explore how shapes can be made by joining (combining) and breaking apart (partitioning) existing shapes
- classify shapes based on their attributes as that shape (features of triangles, circles, squares, rectangles, quadrilaterals, hexagons, octagons, polygons)
- manipulate shapes and objects to halve them in different ways. Sometimes, halves are made up of more than one part
- describe the position as about halfway, more than halfway or less than halfway
- create new shapes by adding or removing sides and vertices (corners)
- explore how 2D shapes can be classified into different categories according to their features
- turn shapes to fit into a space or create a design
- create linear patterns with shapes that transform (slide and reflections)
- make designs which have a line of symmetry.

## 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

**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

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

- Length: Use direct and indirect comparisons to decide which is longer
- Length: Create half a length

**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

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

- Part A – Use counting sequences of ones with two-digit number
- Part A – Represent numbers on a line

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

Recognise and recall number bonds up to ten

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

- Part A – Length: Measure the lengths of objects using informal units
- Part A – Length: Subdivide lengths to find halves and quarters

**Two-dimensional spatial structure – MAO-WM-01, MA1-2DS-01, MA1-2DS-02**

- Part A – 2D shapes: Recognise and classify shapes using obvious features
- Part A – 2D shapes: Transform shapes with slides and reflections
- Part A – Area: Measure areas using uniform informal units
- Part B – 2D shapes: Represent, combine and separate two-dimensional shapes