- Mathematics
- Year 8
Measurement & Pythagoras' Theorem
approx. 12 hrs
3 topics
21 concepts
Boost your knowledge of Measurement and Pythagoras' theorem and improve your results.
approx. 12 hrs
3 topics
21 concepts
Boost your knowledge of Measurement and Pythagoras' theorem and improve your results.
This learning program covers the Measurement and Geometry component of the NSW Mathematics K-10 curriculum. We teach students the formulae to calculate the volume of rectangular prisms and cylinders, convert between units of length and area, and how to calculate the hypotenuse and/or shorter side of right angled triangles.
This learning program is made up of the following 3 topics, broken down into 21 concepts.
Identify a trapezium, rhombus or kite in different orientations
Develop and use the formula to find the area of circles
Finding the area of a circle or sector using approximations of pi
Develop and use the formula to find the area of trapeziums
Develop and use the formulas to find the area of rhombus/ kites
Calculate the areas of composite figures by dissection into triangles, special quadrilaterals, quadrants, semicircles and sectors
Find the areas of quadrants, semicircles and sectors
Identify and draw the cross-sections of different prisms
Draw representations of prisms from different views
Find the volumes of composite solids involving prisms and cylinders
Convert between metric units of volume
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 volume and capacity
Identify a Pythagorean triad
Discover and use Pythagoras' theorem to establish whether a triangle has a right angle
Solve a variety of practical problems involving Pythagoras' theorem, giving exact answers (ie as surds where appropriate)
Identify a surd as an irrational number
Use Pythagoras' theorem to find the length of an unknown side in a right-angled triangle
Solve a variety of practical problems involving Pythagoras' theorem
Use Pythagoras' theorem to find the length of the hypotenuse side in a right-angled triangle
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