Volume
Mathematics K–10 (2022) · Stage 4 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA4-VOL-C-01 applies knowledge of volume and capacity to solve problems involving right prisms and cylindersContent dot points
Each dot point has its own page with resources matched to it.
Describe the different views of prisms and solids that have been formed from prism combinations
- Represent prisms from different views in 2 dimensions, including top, side, front and back views 2 resources
- Describe and illustrate solids formed from prism combinations from different views in 2 dimensions, including top, side, front and back views 1 resource
- Identify and illustrate the cross-sections of different prisms 2 resources · 2 interactive/game
- Examine the idea that prisms have a uniform cross-section that is equal to the base area 1 resource · 1 interactive/game
- Determine if a particular solid has a uniform cross-section
Develop and apply the formula to find the volume of a prism to solve problems
- Develop the formula for the volume of a prism: V = basearea × height, leading to V = Ah 5 resources
- Apply the formula for the volume of a prism to prisms with uniform cross-sections to solve problems 5 resources
Develop the formula for finding the volume of a cylinder and apply the formula to solve problems
- Develop and apply the formula to solve problems involving the volume of cylinders: V = πr²h, where r is the length of the radius of the base and h is the perpendicular height 7 resources · 2 interactive/game
Choose appropriate units of measurement for volume and capacity and convert between units
- Recognise that 1000 L is equal to 1 kilolitre (kL) and use the abbreviation
- Recognise that 1000 kL is equal to 1 megalitre (ML) and use the abbreviation
- Choose an appropriate unit to measure the volume or capacity of different objects and justify the choice
- Convert between metric units of volume and capacity (1cm³= 1000(mm)³, 1cm³= 1mL, 1m³= 1000L= 1kL, 1000kL= 1ML) 3 resources · 1 interactive/game
- Solve practical problems involving the volume and capacity of right prisms and cylinders
Focus area resources
- Unit/PlanningStage 4 Unit 16 – constructing cylinders (sample unit of learning)
- Unit/PlanningStage 4 Unit 8 – constructing prisms (sample unit of learning)
Stage 4 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 4 core (NESA no. 11)
- Unit/PlanningStage 4 – sample scope and sequence
- Unit/PlanningStage 4 – stage based – sample scope and sequence