- Mathematics General
- Year 11
Shape and Measurement
approx. 15 hrs
7 topics
40 concepts
Enrol in Shape and Measurement to optimise your academic outcomes in Mathematics.
approx. 15 hrs
7 topics
40 concepts
Enrol in Shape and Measurement to optimise your academic outcomes in Mathematics.
Shape and Measurement will extend the knowledge and skills of similarity and associated calculations involving simple and compound geometric shapes. We will help students effectively apply these skills in a range of practical contexts, including those involving three-dimensional shapes.
This learning program is made up of the following 7 topics, broken down into 40 concepts.
Apply Pythagoras' Theorem to 3D problems
Review Pythagoras theorem
Develop and use the formulas to find the circumferences of circles in terms of the diameter or radius
Find the perimeters of composite figures including sectors
Find the perimeters of a range of plane shapes, including composite figures
Find the perimeter of sectors including quadrants and semicircles
Use formulae to find the arc length of a sector
Finding the area of a triangle using Heronâ€™s formula
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
Calculate the volume of composite solids including right cones, hemispheres and right pyramids
Calculate the volume of a sphere
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
Calculate the volume of an annular cylinder
Calculate the volume of a cone
Calculate the volume of of right pyramids
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
Determine similar solids
Scaling problems involving volume and surface area
Name the matching sides and angles of similar figures
Investigate the minimum conditions needed for two triangles to be similar
Tests for similar triangles
Scaling ratio for volume
Scaling ratio for area
Use a scale factor to find unknown sides
Determine the scale factor of two similar figures
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