- Mathematics Advanced
- Year 10
Area, Surface Area and Volume
approx. 14 hrs
7 topics
37 concepts
Build essential skills for Area, Surface Area and Volume and improve your performance in Mathematics.
approx. 14 hrs
7 topics
37 concepts
Build essential skills for Area, Surface Area and Volume and improve your performance in Mathematics.
This program builds on prior knowledge of area of plane shapes from Year 9 and aligns with the Australian curriculum. Students develop 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 learn how to demonstrate competence in understanding the limitations of measurement and confidently work with different units of measurement.
This learning program is made up of the following 7 topics, broken down into 37 concepts.
Investigate the meaning of prefixes such as 'nano', 'micro', 'mega', 'giga' and 'tera'
Converting units of length
Convert between metric units of volume
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
Determine the limit of reading of a measurement or measuring tool
Determine the absolute error based on the limit of reading
Use formulae to calculate the percentage error
Find the lower and upper limit of the true measurement based on the absolute error
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
Use the nets of prisms to find surface area
Surface area of composite objects
Solve problems involving rectangular or triangular prisms
Apply Pythagoras' theorem to find surface areas of triangular prisms
Find the surface area of a hollow cylinder
Find the surface area of a cylinder
Find the surface area of rectangular prisms
Find the surface areas of triangular prisms
Calculate the surface area of composite solids including right cones, hemispheres and right pyramids
Surface areas of right cones
Calculate the 'perpendicular heights' and 'slant heights' of right pyramids and right cones
Calculate the surface area of right pyramids
Surface areas of spheres
Calculate the volumes of cylinders
Solve a variety of practical problems related to the volumes and capacities of prisms, cylinders and related composite solids
Find the volumes of composite solids involving prisms and cylinders
Develop and use the formula for the volume of right prisms and find the capacity
Develop and use the formula for the volume of cylinders and find the capacity
Solve a variety of practical problems relating to the volumes andĀ capacitiesĀ of right pyramids, right cones and spheres
Calculate the volume of composite solids including right cones, hemispheres and right pyramids
Calculate the volume of a sphere
Calculate the volume of a cone
Calculate the volume of of right pyramids
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