Chapter 1 Directed numbers
Home Page: Into the negative zone
Physical features of the ocean
http://www.mos.org/oceans/planet/features.html
This site looks at what lies beneath the world’s oceans.
Textbook page/s: 1
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Home Page: Into the negative zone
Exploring submarine volcanoes
http://www.pmel.noaa.gov/vents/ring-of-fire.html
This site examines ocean trenches.
Textbook page/s: 1
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Home Page: Into the negative zone
A submarine museum
http://www.ussnautilus.org/
This site contains a virtual tour of a submarine museum.
Textbook page/s: 1
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Comparing directed numbers
http://www.mathsrevision.net/gcse/pages.php?page=22
Directed numbers.
Textbook page/s: 7
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Adding directed numbers
http://www.mathgoodies.com/lessons/vol5/addition.html
A lesson on adding directed numbers with problems to try.
Textbook page/s: 10
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Maths puzzles
http://www.eduplace.com/math/brain/
This site has nothing to do with the slippery snail puzzle but it does contain lots of brain teasers and competitions pitched at different levels. There are new puzzles presented on the site regularly, which makes it lots of fun.
Textbook page/s: 12
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Subtracting directed numbers
http://learning.north.londonmet.ac.uk/mathshelp/num/directed.html
This page can help with all types of problems involving directed numbers. It contains a lesson on subtracting directed numbers with problems to try.
Textbook page/s: 14
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Adding and subtracting directed numbers
http://www.mathleague.com/help/integers/integers.htm#addingintegers
A site that will help you revise all your integer (directed number) facts and processes.
Textbook page/s: 16
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Multiplication of directed numbers
http://www.mathsteacher.com.au/year7/ch01_whole/04_mult/mult.htm
Multiplying Integers.
Textbook page/s: 22
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Division of directed numbers
http://www.mathsteacher.com.au/year7/ch03_prime/prime.htm
Multiples and factors.
Textbook page/s: 24
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Revision of directed numbers
http://www.mathsteacher.com.au/year7/ch01_whole/06_order/op.htm
Order of operations.
Textbook page/s: 24
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Maths in Action: The ultimate cool
The Kelvin temperature scale
http://www.windows.ucar.edu/earth/Atmosphere/temperature/kelvin.html
This site gives you an explanation of the Kelvin temperature scale, along with a brief history of Lord Kelvin and his achievements. Links are supplied if you require more information.
Textbook page/s: 31
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Chapter 2 Number techniques
Home Page: Towards infinity
Fractals
http://www.tcdesign.net/fractals.html
This site contains a host of great fractal patterns.
Textbook page/s: 39
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Home Page: Towards infinity
Maths art
http://www.aartika.co.uk/
This is the website of an artist who specialises in mathematically generated images.
Textbook page/s: 39
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Fraction conversion bingo
http://www.col-ed.org/cur/math/math52.txt
This site gives instructions for a bingo game that reinforces previous maths lessons involving the relationships between fractions, decimals and percentages.
Textbook page/s: 52
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Maths in Action: Being water wise
Ways to save water
http://www.yvw.com.au/waterschool/seniors.html
This is part of the Yarra Valley Water website and contains heaps of information about saving water.
Textbook page/s: 69
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Chapter 3 Percentages
Home Page: Get real!
About Brazil
http://www.brazil.org.uk/
The website of the Brazilian Embassy in London should tell you everything you could possibly wish to know about Brazil. This page is specifically aimed at school students; it provides links to tons of information and even a game to play.
Textbook page/s: 83
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Converting percentages to fractions and decimals
http://www.mathsteacher.com.au/year7/ch10_percentage/per.htm
Changing between percentage and decimal form
Textbook page/s: 91
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Converting fractions and decimals to percentages
http://www.mulawa.net/mulawa/maths/fractions/
A fun game that revises the skills involved in changing fractions to decimals and percentages.
Textbook page/s: 96
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Worded percentage problems
http://www.saab.org/mathdrills/percent.cgi
A set of worded problems on the application of percentages.
Textbook page/s: 115
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Chapter 4 Algebra
Home Page: Bubble algebra bursts onto the scene
All about bubbles
http://bubbles.org/
This site, called ‘Bubblesphere’, contains everything anyone could ever want to know about bubbles. Click on the links at the bottom of the homepage to find what you are interested in.
Textbook page/s: 129
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Home Page: Bubble algebra bursts onto the scene
The bends
http://www.howstuffworks.com/question101.htm
Looks at what causes decompression sickness, or the bends.
Textbook page/s: 129
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Home Page: Bubble algebra bursts onto the scene
More about the bends
http://www.seagrant.wisc.edu/madisonjason11/experiment_bends.html
Describes an experiment that demonstrates the effect of the bends.
Textbook page/s: 129
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The Fahrenheit and Celsius temperature scales
http://www.onlineconversion.com/temperature.htm
A site that converts temperatures from Fahrenheit to Celsius and vice versa.
Textbook page/s: 148
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Maths in Action: The algebra of eclipses
Famous mathematicians
http://www-history.mcs.st-andrews.ac.uk/history/BiogIndex.html
This site provides biographies of famous mathematicians throughout history.
Textbook page/s: 153
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Puzzles
http://www.greylabyrinth.com/puzzles
This site, known as the Grey Labyrinth, is chock full of ever changing puzzles to solve and read about.
Textbook page/s: 160
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Chapter 5 Ratio
Home Page: Pedal power!
Cycling in Australia
http://www.cycling.org.au/
This is the homepage of Cycling Australia’s website. The site is full of information about bicycling in Australia; it also gives links to other related sites.
Textbook page/s: 181
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Egyptian multiplication (CSF II edition)
http://www.forestpath.net/egypt/maths/egmult.htm
A colourful site that goes through the process of Egyptian multiplication and gives you a couple of sums to try.
Textbook page/s: 196
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More Egyptian multiplication (CSF II edition)
http://atschool.eduweb.co.uk/wellscs/puzzles/egypt.html
A puzzle site for Egyptian multiplication.
Textbook page/s: 196
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Russian multiplication
http://www.hunkinsexperiments.com/pages/multiplication.htm
A site made up of cartoons. This page explains a sensational method for using your fingers and Russian multiplication to find the answers to the 6, 7, 8, 9 and 10 times tables.
Textbook page/s: 197
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Ratios
http://www.aaamath.com/B/rat62ax2.htm
A fun site with a ratio quiz to take at a level set by you.
Textbook page/s: 199
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Gestation, incubation and longevity of animals
http://www.petalk.com/pregnancy-chart.html
A table of the expected life-spans of common animals, together with the length of pregnancy or incubation for each animal. Did you know the average length of pregnancy for an elephant is 624 days?
Textbook page/s: 210
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Maths in Action: The golden ratio
Exploring the golden ratio
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html
The golden ratio has fascinated mathematicians down through history. Despite all the claims made by the absolute believers, there is a healthy scepticism among some mathematicians regarding the relevance of the golden ratio. This site is one for the true believers and contains many interesting links.
Textbook page/s: 223
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Chapter 6 Measurement
Home Page: Measuring mania
The Measurers
http://www.mhs.ox.ac.uk/measurer/text/contents.htm
Find out more about mathematics and its relation to everyday life since the sixteenth century in this virtual exhibition
Textbook page/s: 233
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Pi
http://www.joyofpi.com/pilinks.html
This web page contains links to serious sites, artwork related to pi and some very funny stuff. Don't forget to scroll down the whole page.
Textbook page/s: 242
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Area of a parallelogram
http://www.aaamath.com/geo78-area-parallelogram.html
This colourful, educational site gives a lesson on the calculation of the area of a parallelogram, and follows with an online quiz. Don’t forget to scroll down the page.
Textbook page/s: 248
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Area of a parallelogram versus area of a rectangle
http://mathforum.org/library/drmath/view/57790.html
This interactive site helps answer the question ‘Which has the larger area, a rectangle or a parallelogram?’
Textbook page/s: 248
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Area of a trapezoid
http://www.aaamath.com/geo78-area-trapezoid.html
This colourful, educational site gives a lesson on the calculation of the area of a ‘trapezoid’, just another word for a trapezium, and follows with an online quiz. Don’t forget to scroll down the page.
Textbook page/s: 252
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Area of a circle
http://www.aaamath.com/geo612-area-circle.html
This colourful, educational site gives a lesson on the calculation of the area of a circle, and follows with an online quiz. Don’t forget to scroll down the page.
Textbook page/s: 256
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Chapter 7 Equations
Home Page: Soaking up the gravy equation
The gravy equation
http://www.newhouse.com/archive/story1b122600.html
Just in case you’re hungry for some further information about the gravy equation – here’s some more about it.
Textbook page/s: 287
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Home Page: Soaking up the gravy equation
More about the gravy equation
http://news.bbc.co.uk/2/hi/uk/england/1730817.stm
Even more information about the gravy equation. Find out which bread is best for mopping up the gravy left on your plate after a roast dinner.
Textbook page/s: 287
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A famous maths problem
http://www.maa.org/mathland/mathtrek_4_20_98.html
This famous maths problem was invented by the Ancient Greek mathematician Archimedes of Syracuse (287–212 BC). Apparently Archimedes was annoyed with Apollonius of Perga (262–190 BC), who had criticised Archimedes’ work on the multiplication of large numbers. As revenge Archimedes came up with this tricky mathematical problem that involves truly immense numbers. We don’t expect you to solve the problem, but see if you can follow how the equations are set up.
Textbook page/s: 299
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Solving linear equations
http://ola4.aacc.edu/dfsymancyk/web131/solvlinr/solvlin.html
Worked examples of solving simple and complex linear equations.
Textbook page/s: 311
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Solving equations of all types
http://www.sosmath.com/algebra/solve/solve0/solve0.html#quadratic
This site demonstrates the process of finding solutions to over fifty different types of equations and gives an opportunity for individual practice.
Textbook page/s: 317
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Maths puzzles
http://mathforum.org/pow/
‘Problem of the Week’
Textbook page/s: 319
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Maths in Action: Pedal-powered flight
Human-powered flight
http://www.ucl.ac.uk/slade/nickhornby/flying/extra/flahoo.html
An outline of the history of human-powered flight, with links to further resources.
Textbook page/s: 329
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Chapter 8 Cartesian graphs
Home Page: Chess moves all in the mind
Chess is fun
http://www.princeton.edu/~jedwards/cif/intro.html
An introduction to the rules and strategies of the game of chess.
Textbook page/s: 339
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Using graphs
http://www.shodor.org/interactivate/lessons/IntroBarGraphs/
A set of problems that will help you get a feel for when graphs are a useful way to present and clarify data.
Textbook page/s: 347
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Graphing game
http://www.shodor.org/interactivate/activities/MazeGame/
A fun maze game involving the Cartesian plane.
Textbook page/s: 353
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Maths in Action: The Cartesian coordinate system meets art!
XY charts
http://www.xycharts.com/history.html
Find out more about what René Descartes and Piet Mondrian had in common; this site looks further at the Cartesian coordinate system.
Textbook page/s: 358
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Graph plotter
http://www.shodor.org/interactivate/activities/slopeslider/
This site lets you vary a line graph and see how its equation changes.
Textbook page/s: 376
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Chapter 9 Geometry
Home Page: Parallel moon shadows meet
Non-faked moon landings!
http://pirlwww.lpl.arizona.edu/~jscotti/NOT_faked/
You’ll find a great many sites on the Internet spouting conspiracy theories about the moon landing. Here’s a site that examines the claims of moon landing doubters in detail.
Textbook page/s: 395
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Polyhedra
http://www.georgehart.com/virtual-polyhedra/vp.html
This colourful site illustrates and describes a vast array of three-dimensional polyhedra that can be manipulated on screen.
Textbook page/s: 410
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The Möbius strip
http://scidiv.bcc.ctc.edu/Math/Mobius.html
Information about the construction of a Möbius strip and two illustrations by the artist Escher.
Textbook page/s: 414
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More about the Möbius strip
http://mathforum.org/sum95/math_and/moebius/moebius.html
Instructions for making a Möbius strip, together with links to related sites, including a link to a site about the mathematician August Ferdinand Möbius.
Textbook page/s: 414
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The world of Escher
http://www.worldofescher.com/
Just as the title says, this site is about the world of the artist Escher. Don’t get sucked in to buying anything; just look at the illustrations of Escher’s work and read the discussions about it.
Textbook page/s: 414
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Chapter 10 Chance and data
Home Page: Counting the catch
Collecting information on fishing
http://www.utas.edu.au/tafi/TAFI_R&D_Sections/TAFI_R&D_Prog_WFish_Abalone.htm
This site of the Fisheries Research and Development Corporation details how information is collected about the fishing industry, and activities such as abalone diving. The text is quite technical but provides an insight into just what is involved in estimating fishing catch sizes.
Textbook page/s: 443
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Abalone fishing
http://www.dpiw.tas.gov.au/inter.nsf/WebPages/ALIR-4YNVZ7?open
At this site you will find some further information about abalone fishing in Tasmania. In particular, you can see photographs of two different types of abalone, and find out about the cost of a licence and bag limits.
Textbook page/s: 443
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Using data and statistics
http://www.mathleague.com/help/data/data.htm
This web page provides links to statistical explanations about line graphs, pie charts, and mean, median and mode.
Textbook page/s: 447
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Maths in Action: Keeping it secret
Codes and ciphers
http://www.otr.com/ciphers.html
This site provides further information about some relatively simple codes.
Textbook page/s: 472
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Certain and impossible events
http://www.mathgoodies.com/lessons/vol6/certain_impossible.html
This site contains sample experiments and interactive questions on the probability of impossible and certain events. If you give the wrong answer to a question the computer will correct you.
Textbook page/s: 486
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Probability
http://www.mathgoodies.com/lessons/toc_vol6.html
This page allows you to choose a probability topic to revise, and work through a lesson including experiments and interactive questions with corrections. Note that some of the topics are only available on a CD Rom that must be purchased through the site.
Textbook page/s: 486
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Chapter 11 Structure (VELS edition)
Home page: Achilles can't beat the tortoise!
Achilles and the tortoise
http://web01.shu.edu/projects/reals/numser/answers/zeno.html
A mathematical explanation of Zeno's paradox of Achilles and the tortoise.
Textbook page/s: 503
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Home page: Achilles can't beat the tortoise!
Zeno's paradoxes
http://www.jimloy.com/physics/zeno.htm
A discussion of Zeno's paradoxes, including Achilles and the tortoise.
Textbook page/s: 503
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Truth values
Truth value of open sentences
http://www.regentsprep.org/regents/math/geometry/GP1/Lopensen.htm
Explains the truth value of an open sentence and how it can be made to be true through the use of a domain.
Textbook page/s: 511
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Maths in Action: Searching the 'net'
Boolean searching on the Internet
http://www.internettutorials.net/boolean.html
Explains clearly the method of Boolean searching that is used by some search engines.
Textbook page/s: 514
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Maths in Action: Searching the 'net'
The Best Search Engines
http://www.lib.berkeley.edu/TeachingLib/Guides/Internet/SearchEngines.html
Examines the different features of the different search engines and explains the procedures they use.
Textbook page/s: 514
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Identity element
Encyclopedia - Identity Element
http://www.kids.net.au/encyclopedia-wiki/id/Identity_element
Explains what is an identity element and how it fits within the number system.
Textbook page/s: 515
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Inequalities
Expressions, equations and inequalities
http://www.eduplace.com/math/mathsteps/3/d/
Explains inequalities and the relationship between inequalities, expressions and equations. Also provides an activity sheet.
Textbook page/s: 521
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Worksheet generator
Algebra Worksheet Generator
http://www.math.com/students/worksheet/algebra_sp.htm
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