year 8 maths

NSW syllabus
STRAND: NUMBER AND ALGEBRA
SUBSTRANDS: FRACTIONS,
DECIMALS AND
PERCENTAGES
FINANCIAL
MATHEMATICS
Outcomes
A student operates with fractions,
decimals and percentages.
(MA4–5NA)
A student solves financial problems
involving purchasing goods.
(MA4–6NA)
© NESA, 2012
Phi and golden rectangles
Phi is a unique and mysterious decimal number approximately equal to 1.618 . As of 2015,
the value of phi has now been calculated to two trillion (2 000 000 000 000) decimal places.
Phi’s decimal places continue forever; no pattern has been found and it cannot be written
as a fraction.
Golden rectangles are rectangles that have the proportion of length to width equal to phi : 1 .
This ratio is thought to be the most visually appealing proportion to the human eye.
Proportions using the decimal phi are found in an astounding variety of places including
ancient Egyptian pyramids, Greek architecture and sculptures, art, the nautilus shell, an
ant, a dolphin, a beautiful human face, an ear, a tooth, the body, the graphic design of credit
cards, websites and company logos, DNA and even the shape of the Milky Way galaxy.
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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