- Mathematics General
- Year 11
Applications of Measurement
approx. 12 hrs
10 topics
43 concepts
Master the Applications of Measurement to improve your marks.
approx. 12 hrs
10 topics
43 concepts
Master the Applications of Measurement to improve your marks.
Students who study Applications of Measurement learn about accuracy in measurement, convert between metric units of area as well as converting between units of volume and capacity. They explore ways to determine scale factors for concruence and similarities and solve problems involving units of energy and mass.
This learning program is made up of the following 10 topics, broken down into 43 concepts.
Determine the scale factor of two similar figures
Solve problems using ratio and scale factors in similar figures
Use a scale factor to find unknown sides
Convert between metric units of energy, including calories, kilocalories, joules and kilojoules
Use metric units of energy to solve problems related to food and nutrition
Use metric units of energy to solve problems involving the amount of energy expended in activities
Use units of energy to solve problems involving the consumption of electricity
Use the Trapezoidal rule to solve a variety of practical problems
Calculate the perimeter of a plane table survey
Calculate the area of a plane table survey
Calculate the volume of composite solids including right cones, hemispheres and right pyramids
Calculate the volume of a sphere
Calculate the volume of of right pyramids
Calculate the volume of a cone
Calculate the volume of an annular cylinder
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
Convert between metric units of area
Convert between metric units of volume and capacity
Convert units of measurement using standard form of metric prefixes, index laws and scientific notation
Determine the limit of reading of a measurement or measuring tool
Determine the absolute error based on the limit of reading
Find the lower and upper limit of the true measurement based on the absolute error
Use formulae to calculate the percentage error
Use formulae to find the arc length of a sector
Find the perimeter of sectors including quadrants and semicircles
Find the perimeters of a range of plane shapes, including composite figures
Calculate the areas of composite figures by dissection into triangles, special quadrilaterals, quadrants, semicircles and sectors
Find the areas of quadrants, semicircles and sectors
Calculate the area of an annulus
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
Calculate the surface area of composite solids including right cones, hemispheres and right pyramids
Surface areas of spheres
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
Surface area of composite objects
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
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