# Multi-age 3–6, mathematics, Year B – Unit 17

This 2-week, Year B unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations.

## Syllabus

Syllabus outcomes 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.

Students are provided opportunities to:

• measure and compare volume using the layer structure and recording in cubic centimetres, recognising the multiplicative structure for finding volume
• investigate arrays and partially covered area models to support multiplicative thinking (Stage 2)
• apply knowledge of multiplication to estimate, measure and compare area using square centimetres and square metres (Stage 2)
• select and apply strategies to solve problems involving multiplication and division with whole numbers (Stage 3)
• dissect two-dimensional shapes and rearrange them using translations, reflections and rotations (Stage 3).

## Syllabus outcomes and content groups

### Stage 2

Multiplicative relations A – MAO-WM-01, MA2-MR-01

Represent and solve problems involving multiplication fact families

Multiplicative relations B – MAO-WM-01, MA2-MR-01, MA2-MR-02

• Use known number facts and strategies
• Use the structure of the area model to represent multiplication and division
• Use number properties to find related multiplication facts
• Represent and solve word problems with number sentences involving multiplication or division

Two-dimensional spatial structure A – MAO-WM-01, MA2-2DS-01, MA2-2DS-03

• 2D shapes: Compare and describe features of two-dimensional shapes
• Area: Use square centimetres to measure and estimate the areas of rectangles
• Area: Use square metres to measure and estimate the areas of rectangles

Two-dimensional spatial structure B – MAO-WM-01, MA2-2DS-01, MA2-2DS-03

• Area: Measure the areas of shapes using the grid structure
• Area: Compare surfaces using familiar metric units of area

Three-dimensional spatial structure A – MAO-WM-01, MA2-3DS-01

• 3D objects: Make models of three-dimensional objects to compare and describe key features
• Volume: Compare objects using familiar metric units of volume

Three-dimensional spatial structure B – MAO-WM-01, MA2-3DS-01

3D objects: Connect three-dimensional objects and two-dimensional representations

### Stage 3

Multiplicative relations A – MAO-WM-01, MA3-MR-01

• Determine products and factors
• Use partitioning and place value to multiply 2-, 3- and 4-digit numbers by one-digit numbers
• Use estimation and rounding to check the reasonableness of answers to calculations

Multiplicative relations B – MAO-WM-01, MA3-MR-01, MA3-MR-02

Select and apply strategies to solve problems involving multiplication and division with whole numbers

Geometric measure A – MAO-WM-01, MA3-GM-02

Length: Measure lengths to find perimeters

Two-dimensional spatial structure A – MAO-WM-01, MA3-2DS-01

Area: Calculate the areas of rectangles using familiar metric units

Two-dimensional spatial structure B – MAO-WM-01, MA3-2DS-02, MA3-2DS-03

• Dissect two-dimensional shapes and rearrange them using translations, reflections and rotations
• Dissect two-dimensional shapes and rearrange them using translations, reflections and rotations
• Calculate the area of a parallelogram using subdivision and rearrangement
• Determine the area of a triangle

Three-dimensional spatial structure B – MAO-WM-01, MA3-3DS-02

• Volume: Use cubic metres for measurement of volume
• Volume: Recognise the multiplicative structure for finding volume
• Volume: Find the volumes of rectangular prisms in cubic centimetres and cubic metres

## Resource

Category:

• 3-6
• Geometric measure
• Mathematics (2022)
• Multiplicative relations
• Three-dimensional spatial structure
• Two-dimensional spatial structure
• Unit