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THE TEACHING PROGRAM
THE TEACHING PROGRAM
Outline
Outline
In this Teaching Program:
1. Student will revisit their prior knowledge of volume of right prisms, capacity and conversion between units of measurement.
2. Students will investigate and calculate volume of composite solids composed of right prisms and cylinders.
3. Students will investigate and solve for life-related problems.
Concept Map
Concept Map
Assumed knowledge
Assumed knowledge
STAGE 3
STAGE 3
Volume and Capacity 1 and 2
- Investigating volume using cubic-centimetre blocks
- Record and estimate the volume of a variety of objects
- Choose appropriate units of measurement for volume and capacity
- Convert between common metric units of capacity
- Investigate the relationship of decimal representation to metric system (3 decimal places)
- Introduces irregular volumes
- Calculate the volume of rectangular prisms informally
STAGE 4
STAGE 4
- Introduces prisms
- Cross sections
- Units in volume - kL, L, mL
- Formula of volume - rectangular, triangular prism and cylinders
- Solve practical problems involving volumes and capacities of right prisms and cylinders
Existing and new knowledge
Existing and new knowledge
STAGE 5.2
STAGE 5.2
Volume - This Teaching Program
- Volume of composite solids - triangular prism, rectangular prism, and cylinders
- Solve a variety of practical problems related to the volumes and capacities of prisms, cylinders and related composite solids
STAGE 5.3
STAGE 5.3
- Introduces volume of pyramid, cone and sphere
- Solve problems involving the volumes of right pyramids, right cones, spheres and related composite solids
- Solve a variety of practical problems relating to the volumes and capacities of right pyramids, right cones and spheres
Reference:New South Wales Board of Studies (2012). Mathematics K-10 syllabus: NSW syllabus for the Australian curriculum. Board of Studies NSW, Sydney
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