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
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
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