Chapter 1 Mathematical techniques
Interest rates
http://www.latin-focus.com/latinfocus/countries/mexico/mexinter.htm
This sites contains a graph showing the interest rates in Mexico from 1995 to 2002. Click on the link to Mexico in the Countries section in the left-hand column to explore other economic information about Mexico.
Textbook page/s: 1
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Maths in Action: Energy from the wind
Wind energy 1
http://www.pacifichydro.com.au/
At this site information about the Portland Wind Energy Project can be obtained.
Textbook page/s: 10
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Maths in Action: Energy from the wind
Wind energy 2
http://www.tsinfrastructurefund.com/infrastructure_assets/toora_wind_farm.htm
At this site you can find out more about the Toora wind farm project.
Textbook page/s: 10
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Maths in Action: Energy from the wind
Green energy
http://www.greenprices.com/eu/index.asp
At this site you can find information about other 'alternative' energy sources.
Textbook page/s: 10
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Compound interest formula
http://www.moneychimp.com/articles/finworks/fmfutval.htm
This site allows you to vary the principal, growth rate and term, and displays the information in a graphical form.
Textbook page/s: 16
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Chapter 2 Surds and exponentials
Home Page: The power law of catastrophes
The power law
http://physicsworld.com/cws/article/print/2418
Read more about the sorts of things the ‘power law’ applies to.
Textbook page/s: 39
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Investigation: The von Koch snowflake
Von Koch curve
http://www.efg2.com/Lab/FractalsAndChaos/vonKochCurve.htm
This is an outline of the mathematical background of the von Koch snowflake, plus a small downloadable program which can be used to actually build snowflakes.
Textbook page/s: 69
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Koch snowflake
http://mathworld.wolfram.com/KochSnowflake.html
This contains an outline of the construction and mathematics of the von Koch snowflake, plus examples of patterns based on the snowflakes.
Textbook page/s: 69
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Scientific notation
http://www.nyu.edu/pages/mathmol/textbook/scinot.html
This site gives an outline of scientific notation, with samples and a scientific notation generator.
Textbook page/s: 83
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Maths in Action: A universe of numbers
Googols and googolplexes 1
http://www-users.cs.york.ac.uk/~susan/cyc/g/googol.htm
This site contains information on the googol and the googolplex.
Textbook page/s: 90
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Maths in Action: A universe of numbers
Googols and googolplexes 2
http://www.fpx.de/fp/Fun/Googolplex/
This site is devoted to this astronomically huge number and has some references to the googol.
Textbook page/s: 90
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Chapter 3 Expanding and factorising
Home Page: Algebra icebergs
Icebergs
http://www.wordplay.com/tourism/icebergs/
This site provides some general information about, and facts and figures related to, icebergs.
Textbook page/s: 105
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Icebergs as a water resource
http://www.atse.org.au/index.php?sectionid=338
This site provides an overview of the concept of using icebergs as a water source.
Textbook page/s: 105
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Expanding brackets
http://www.mathsnet.net/asa2/modules/p12wbrackets.html
This site includes an interactive that displays the main steps in multiplying out brackets.
Textbook page/s: 108
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Factorising
http://www.geocities.com/mathematicsplus/y11_pre_maths_factorising1_worksheet.html
This site includes sets of questions for factorising using common factors, difference of squares and sum and difference of cubes. A set of mixed questions is also included. Move your mouse over the questions to check your answers.
Textbook page/s: 121
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Maths in action: Boolean algebra
George Boole 1
http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Boole.html
This is an outline of the work and life of George Boole. Check out the links at the bottom of the page for more information about Boole and Boolean algebra.
Textbook page/s: 143
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Maths in action: Boolean algebra
George Boole 2
http://www.home.gil.com.au/~bredshaw/boole.htm
This is an outline of the work and life of George Boole. Follow the link at the bottom of the page for an excellent explanation of Boolean algebra.
Textbook page/s: 143
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Chapter 4 Measurement
Home Page: Little Lleyton
Lleyton Hewitt
http://www.lleytonhewitt.biz/
This is the official Lleyton Hewitt website, containing everything you could possibly want to know and links to other sites as well.
Textbook page/s: 161
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WTA player index
http://espn.go.com/tennis/s/wta/profiles/index.html
This site profiles both the top male and female tennis players.
Textbook page/s: 161
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Famous heights
http://www.famousheights.com/
This site lists the largest and smallest people and the heights of famous people. It also has photos, including some of the 2.74 cm tall Robert Wadlow.
Textbook page/s: 161
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Measurement – area
http://www.staff.vu.edu.au/mcaonline/units/measure/meaarea.html
This site includes the rules for areas of regular shapes, worked examples for composite shapes, and practice problems and worked solutions.
Textbook page/s: 172
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Surface areas
http://www.aaamath.com/B/geo79_x2.htm
Begins with the surface area of a cube. Click through 'next lesson' to move on to other shapes.
Textbook page/s: 182
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Cylinders, cones and spheres
http://www.math.com/school/subject3/lessons/S3U4l4DP.html
This site includes explanations and examples of how to calculate the volume of cylinders, cones and spheres. Workout questions are also included.
Textbook page/s: 189, 196
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Capacity and volume
http://www.convert-me.com/en/
This site will convert any unit of capacity or volume to another using an in-built converter – metric and imperial.
Textbook page/s: 201
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Eratosthenes 1
http://astrosun2.astro.cornell.edu/academics/courses/astro201/eratosthenes.htm
A brief outline of how Eratosthene used geometry to estimate the circumference of the Earth.
Textbook page/s: 205
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Eratosthenes 2
http://www.phys-astro.sonoma.edu/observatory/eratosthenes/
An outline the history and mathematics of Eratosthenes original experiment, plus instructions for repeating the experiment.
Textbook page/s: 205
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Density
http://starryskies.com/solar_system/Earth/under_the_surface.html
This website explores the density of different layers of the earth.
Textbook page/s: 207
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Chapter 5 Linear relationships
Home Page: The alien equation
The Drake equation
http://www.activemind.com/Mysterious/Topics/SETI/drake_equation.html
Try out various values for the Drake equation yourself.
Textbook page/s: 217
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Solving linear equations
http://ola4.aacc.edu/dfsymancyk/web131/solvlinr/solvlin.html
This site contains worked examples for simple and complex linear equations.
Textbook page/s: 222
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Straight line graphs
http://www.mathsisfun.com/gradient.html
Work through this interactive activity to construct straight line graphs, then work out their equations and gradients.
Textbook page/s: 228, 237
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Maths in action: The stress and the strain
Bridge collapse 1
http://en.wikipedia.org/wiki/Tacoma_Narrows_Bridge
This site contains a good background, discussion and conclusions of the Tacoma Narrows Bridge failure.
Textbook page/s: 243
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Bridge collapse 2
http://www.ketchum.org/bridgecollapse.html
This site includes the history and technical discussion of the Tacoma Narrows Bridge collapse, as well as photo and video records.
Textbook page/s: 243
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Chapter 6 Trigonometry
The mathematics of rainbows
http://mysite.verizon.net/vzeoacw1/rainbow.html
Choose the ‘white’ option from the rays box and then drag the horizontal line down to change the angle of the incoming ray and to create a rainbow. The mathematics of the rainbow is explained at the bottom of the article.
Textbook page/s: 281
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Rainbows
http://www.symbols.net/color/
This site gives an outline of the symbolism of the colours of the rainbow.
Textbook page/s: 281
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Solving right-angled triangles
http://www.geocities.com/CapeCanaveral/Launchpad/2426/page91.html
This site covers how to find unknown angles, unknown lengths, and trigonometric ratios. Working your way through the pages here provides good revision for most of this chapter.
Textbook page/s: 293
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Maths in action: Mercator’s projection
Mercator’s projection
http://geography.about.com/library/weekly/aa030201b.htm
Here you will find a simple explanation of the way Mercator’s projection works. There are also links to simple explanations of some other projections.
Textbook page/s: 313
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Map projections 1
http://www.colorado.edu/geography/gcraft/notes/mapproj/mapproj_f.html
This site contains information about map projections, from the University of Colorado.
Textbook page/s: 313
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Map projections 2
http://www.geometrie.tuwien.ac.at/karto/
At this site you can look at images of various views of many different map projections.
Textbook page/s: 313
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Bearings
http://www.mathsteacher.com.au/
Directions and bearings.
Textbook page/s: 316
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Two-dimensional problems
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi2DGeomTrig.html
Two-dimensional problems.
Textbook page/s: 321
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Three-dimensional problems
http://www.mathsteacher.com.au/year10ch15screen.htm
This site includes an outline of finding angles between lines and planes, followed by a worked example with solutions. Follow the link at the bottom of the page to the contents page for more trigonometry tutorials.
Textbook page/s: 327
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Chapter 7 Statistics
Home Page: Data analysis finds Atlantis of the desert
The lost city of Ubar
http://observe.arc.nasa.gov/nasa/exhibits/ubar/ubar_0.html
This NASA page includes the menu to a range of pages about the search for and discovery of the lost city of Ubar.
Textbook page/s: 335
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Data collection and sampling
http://ink.news.com.au/mercury/mathguys/maths/datcsamp.htm
This site provides newspaper articles from the Hobart Mercury newspaper that use statistics, and poses questions about how the articles use sampling.
Textbook page/s: 341
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Displaying data
http://www.df.lth.se/~mikaelb/statiscope/statiscope.shtml
This site allows you to enter data and then choose to display that data as a box-and-whisker plot, stem-and-leaf plot or frequency table. The average (mean) and other statistics beyond this course are also available. Click on the example list to open the page for entering data and choosing display types.
Textbook page/s: 355
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Maths in Action: John Graunt – father of statistics
http://www.ac.wwu.edu/~stephan/Graunt/graunt.html
This site includes links to the life and times of John Graunt.
Textbook page/s: 378
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Chapter 8 Geometry
Home Page: The mystery of Nazca lines
Nazca lines 1
http://www.dreamscape.com/morgana/nazca.htm
This site examines a number of theories about the Nazca lines.
Textbook page/s: 391
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Nazca lines 2
http://www.survive2012.com/nazca_lines_1.php
This site has a number of diagrams and photos of the Nazca lines.
Textbook page/s: 391
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Polyhedral solids
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: 417
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Constructions
http://en.wikipedia.org/wiki/Compass_and_straightedge
This site contains instructions for drawing all regular polygons using only a straight edge and a compass.
Textbook page/s: 422
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Maths in action: The art of fractals
Art in maths 1
http://www.aartika.co.uk/
This site contains a slideshow presentation, galleries featuring 192 designs, screensavers, online puzzles, and more fractal art.
Textbook page/s: 437
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Maths in action: The art of fractals
Art in maths 2
http://www.alunw.freeuk.com/fractalgallery.html
On this site you can follow the construction of fractals or view images and animations of fractals.
Textbook page/s: 437
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Chapter 9 Relationships and variation
Home Page: Evel Knievel – motorcycle parabolas
Evel Knievel 1
http://www.evelknievel.com/bio.html
This official site includes a biography of Evel Knievel, featuring career highlights.
Textbook page/s: 445
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Evel Knievel 2
http://www.geocities.com/cyclejumper_2000/EvelKnievel.html
This site is a fan’s tribute to Evel Knievel and includes an assortment of history, trivia and images.
Textbook page/s: 445
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Quadratic equations 1
http://www.algebra.com/algebra/homework/quadratic/practice.epl
This site offers tutorials and practice drills for factorising of quadratics.
Textbook page/s: 449
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Quadratic equations 2
http://math.uww.edu/~mcfarlat/141/quadrat.htm
This site includes an explanation and example of how to solve quadratic equations, plus an extensive self test.
Textbook page/s: 454
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Parabolas
http://www.7stones.com/Homepage/Publisher/p3.html
A colourful, interactive that allows you to change the variables and watch the effect on the graph.
Textbook page/s: 460, 469
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Speed
http://www.tacsafety.com.au/jsp/content/NavigationController.do?areaID=6&tierID=1&navID=B2348A5F&navLink=null&pageID=179
Follow the links down the left-hand side to find out all you need to know about this campaign. Check out other road safety campaigns and educational resources.
Textbook page/s: 489
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Chapter 10 Probability
Home Page: Catering for crabs
Red crabs
http://www.christmas.net.au/parks/crabs/
This site gives quite a bit of scientific background information about the red crabs on Christmas Island.
Textbook page/s: 515
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Christmas Island 1
http://www.daa.com.au/casestudies/case_wac.html
This site gives information about the feasibility study conducted by the consultants looking at the Christmas Island airport.
Textbook page/s: 515
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Christmas Island 2
http://www.ga.gov.au/map/cocos/
This site gives background information about Christmas Island itself.
Textbook page/s: 515
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Complement of an event
http://www.mathgoodies.com/lessons/vol6/complement.html
This site includes definitions, rules, worked examples and exercises for the complement of an event.
Textbook page/s: 520
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Venn diagrams
http://www.readwritethink.org/materials/venn/
This site provides and quick and easy way to create basic Venn diagrams, allowing you to create and edit labels and information and then to print the final diagram.
Textbook page/s: 531
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Probability of independent events
http://www.mathgoodies.com/lessons/vol6/independent_events.html
This sites definitions, rules, worked examples and exercises for the probability of independent events.
Textbook page/s: 540
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Worksheet generator
Algebra Worksheet Generator
http://www.math.com/students/worksheet/algebra_sp.htm
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