- Mathematics
- Year 10
Area, Surface Area and Volume
approx. 10 hrs
5 topics
27 concepts
Enhance your skills in Area, Surface Area and Volume for academic success in Mathematics.
approx. 10 hrs
5 topics
27 concepts
Enhance your skills in Area, Surface Area and Volume for academic success in Mathematics.
This program builds on prior knowledge of area of plane shapes from Year 9 and aligns with the Australian curriculum. Students enhance their skills in selecting and using formulae of varied shapes and solids, including pyramids, cones and spheres and perform calculations to find the area, surface area and volume. In addition, they gain greater competency in understanding the limitations of measurement and confidently work with different units of measurement.
This learning program is made up of the following 5 topics, broken down into 27 concepts.
Investigate the meaning of prefixes such as 'nano', 'micro', 'mega', 'giga' and 'tera'
Convert between metric units of volume
Converting units of length
Rounding of whole numbers and decimals to significant figures
Convert units of measurement using standard form of metric prefixes, index laws and scientific notation
Convert between metric units of volume and capacity
Convert between metric units of area
Find the lower and upper limit of the true measurement based on the absolute error
Use formulae to calculate the percentage error
Determine the absolute error based on the limit of reading
Determine the limit of reading of a measurement or measuring tool
Review area of triangles, quadrilaterals, circles and sectors
Calculate the areas of composite figures by dissection into triangles, special quadrilaterals, quadrants, semicircles and sectors
Calculate the area of an annulus
Surface area of composite objects
Solve problems involving rectangular or triangular prisms
Find the surface area of a hollow cylinder
Apply Pythagoras' theorem to find surface areas of triangular prisms
Use the nets of prisms to find surface area
Find the surface areas of triangular prisms
Find the surface area of a cylinder
Find the surface area of rectangular prisms
Calculate the volumes of cylinders
Find the volumes of composite solids involving prisms and cylinders
Solve a variety of practical problems related to the volumes and capacities of prisms, cylinders and related composite solids
Develop and use the formula for the volume of cylinders and find the capacity
Develop and use the formula for the volume of right prisms and find the capacity
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