year 8 maths

NSW syllabus
STRAND: MEASUREMENT AND
GEOMETRY
SUBSTRAND: LENGTH
AREA
VOLUME
TIME
RIGHT-ANGLED TRIANGLES
(PYTHAGORAS)
Outcomes
Length
Area
Volume
Time
Right-angled
triangles
(Pythagoras)
A student calculates the perimeters of plane
shapes and the circumferences of circles.
(MA4–12MG)
A student uses formulas to calculate the
areas of quadrilaterals and circles, and
converts between units of area.
(MA4–13MG)
A student uses formulas to calculate the
volumes of prisms and cylinders, and
converts between units of volume.
(MA4–14MG)
A student performs calculations of time
that involve mixed units, and interprets
time zones.
(MA4–15MG)
A student applies Pythagoras’ theorem
to calculate side lengths in right-angled
triangles, and solves related problems.
(MA4–16MG)
© NESA, 2012
The wheels are turning
Civilisations in ancient and modern times have used measurement to better understand the
world in which they live and work. The circle, for example, in the form of a wheel helped
civilisations gain mobility, and modern society to develop machines. For thousands of years
mathematicians have studied the properties of the wheel or circle shape, including such
measurements as its circumference.
The ancient civilisations knew of the existence of a special number (which we know as pi) that
links a circle’s radius with its circumference and area. It was the key to understanding the precise
geometry of a circle, but they could only guess its value. We now know that pi is a special number
that has an infinite number of decimal places with no repeated pattern. From a measurement
perspective, pi is the distance that a wheel with diameter 1 unit will travel in one full turn.
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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