NSW Syllabuses

# Mathematics K–10 - Stage 5.2 - Measurement and Geometry Volume

## Outcomes

#### A student:

• MA5.2-1WM

selects appropriate notations and conventions to communicate mathematical ideas and solutions

• MA5.2-2WM

interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems

• MA5.2-12MG

applies formulas to calculate the volumes of composite solids composed of right prisms and cylinders

Related Life Skills outcomes: MALS-28MG, MALS-30MG, MALS-31MG

## Content

• Students:
• Solve problems involving the volumes of right prisms (ACMMG218)
• find the volumes of composite right prisms with cross-sections that may be dissected into triangles and special quadrilaterals
• solve a variety of practical problems related to the volumes and capacities of composite right prisms
• compare the surface areas of prisms with the same volume (Problem Solving, Reasoning)
• find the volumes and capacities of various everyday containers, such as water tanks or cartons used by removalists (Problem Solving)
• Solve problems involving volume for a range of prisms, cylinders and composite solids (ACMMG242)
• find the volumes of solids that have uniform cross-sections that are sectors, including semicircles and quadrants
• find the volumes of composite solids involving prisms and cylinders, eg a cylinder on top of a rectangular prism
• dissect composite solids into two or more simpler solids to find their volumes (Reasoning)
• solve a variety of practical problems related to the volumes and capacities of prisms, cylinders and related composite solids

### National Numeracy Learning Progression links to this Mathematics outcome

When working towards the outcome MA5.2-12MG the sub-elements (and levels) of Understanding units of measurement (UuM9) describe observable behaviours that can aid teachers in making evidence-based decisions about student development and future learning.

The progression sub-elements and indicators can be viewed by accessing the National Numeracy Learning Progression.