McGraw-Hill Ryerson is proud to announce that we have been selected by the WNCP to publish for the new Pre-Calculus grade 11 and 12.
Sample Material
Click here to preview up-to-date Samples
Pre-Calculus 11 News Release (461.0K) 
Alberta Math Newsletter Volume 2, Edition 1 (2182.0K) British Columbia Math Newsletter Volume 2, Edition 1 (2182.0K) Manitoba Math Newsletter Volume 2, Edition 1 (2183.0K) Saskatchewan Math Newsletter Volume 2, Edition 1 (2181.0K)
|
|
|
|
|
| Chapter 1 Page 9 videos relating to and explaining the Fibonacci sequence |
||
| Encyclopaedia Britannica | ||
| • article about the life and contributions of Carl Gauss ( http://www.britannica.com/EBchecked/topic/227204/Carl-Friedrich-Gauss ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 20 information on discoveries made by Carl Gauss |
||
| Encyclopaedia Britannica | ||
| • article about the life and contributions of Carl Gauss ( http://www.britannica.com/EBchecked/topic/227204/Carl-Friedrich-Gauss ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 22 practice questions related to the arithmetic series |
||
| Algebra Lab | ||
| • practice the arithmetic series with these ten questions, hints and answers available ( http://www.algebralab.org/practice/practice.aspx?file=Algebra_ArithmeticSeries.xml ) |
||
|
|
||
|
|
||
|
|
||
| Hotmath | ||
| • 43 arithmetic series practice problems, answers available ( http://hotmath.com/help/gt/genericalg2/section_9_2.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 22 an Ojibwe story from their oral history |
||
| AAANativeArts | ||
| • read a story from the Ojibwe oral history about thunderbirds and fireflies ( http://www.aaanativearts.com/article589.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 27 a video showing how a spider’s web forms a geometric sequence |
||
| How Stuff Works, a Discovery Company | ||
| • using a spider in its web this video describes geometric sequence through motion and animation ( http://videos.howstuffworks.com/hsw/11306-geometric-sequences-introduction-video.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 27 video describing the Fibonacci sequence and where it is found in art and science |
||
| Google Video | ||
| • uses illustrations to describe how Fibonacci uncovered a mathematical link between science and art ( http://video.google.com/videoplay?docid=7179950432887640376# ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 32 information on St-Pierre-Jolys Les Folies Grenouilles |
||
| Frog Follies | ||
| • website providing information on the history of St-Pierre-Jolys Les Folies Grenouilles, as well as the different events that take place ( http://www.frogfollies.com/history.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 32 learn about the history of coiled basketry |
||
| Langley Museum | ||
| • a wealth of information about coiled basketry in British Columbia and the surrounding region • provides bibliographies on many basket makers and a glossary of terms ( http://www.langleymuseum.org/baskets/basketry_coiled1.html ) |
||
|
|
||
|
|
||
|
|
||
| Native American Basketry | ||
| • introduction to a variety of coiled basketry forms • interactive memory game revolving around coiled basketry ( http://www.nativetech.org/basketry/index.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 32 information about the Arctic Winter Games |
||
| Arctic Winter Games | ||
| • learn about the history of the Arctic Winter games as well as the economic and social impact • view photos and videos from the games ( http://www.arcticwintergames.org/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 35 more information on fractals and examples of fractals |
||
| Fractals | ||
| • a site full of information on fractals, examples of fractals and java applets for creating fractals ( http://math.rice.edu/~lanius/frac/index.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 35 examples of fractals |
||
| Coolmath | ||
| • a gallery full of art that is made from fractals ( http://www.coolmath.com/fractals/gallery.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 35 video on fractals and how they are used in computer science and animation techniques |
||
| Google Video | ||
| • hour long video on fractals and Benoit Manderlbrot • discusses the use of fractals in both art and computer sciences • examples of how fractals are used in film and animation techniques ( http://video.google.com/videoplay?docid=-6917200224135375895&ei=esRBSpKwCJHCqAO_q7CbBw&q=... ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 35 biography of Benoit Mandelbrot |
||
| Gap System | ||
| • extensive history on Mandelbrot and a list of his prizes and honours ( http://www.gap-system.org/~history/Biographies/Mandelbrot.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 35 information on Benoit Mandelbrot |
||
| Encyclopaedia Britannica | ||
| • article about the life and contributions of Benoit Mandelbrot ( http://www.britannica.com/EBchecked/topic/361663/Benoit-Mandelbrot ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 40 article about the wampum |
||
| The Canadian Encyclopedia | ||
| • article discussing the use and history of the wampum ( http://www.thecanadianencyclopedia.com/index.cfm?PgNm=TCE&Params=A1ARTA0008433 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 40 information on the Koch snowflake |
||
| Wolfram MathWorld | ||
| • a site full of information about Koch snowflakes including video demonstrations ( http://mathworld.wolfram.com/KochSnowflake.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 40 the process of creating a Koch snowflake |
||
| Shodor.org | ||
| • an interactive activity that allows students to follow step by step through the process of building the Koch snowflake ( http://www.shodor.org/interactivate/activities/KochSnowflake/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 42 information on how to run a classroom debate |
||
| Education World | ||
| • a huge database full of debate rubrics, debate lesson plans, debate strategies and debate rules ( http://www.educationworld.com/a_lesson/lesson/lesson304b.shtml ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 42 a helpful set of debate rules |
||
| UrbanEd | ||
| • a set of debate rules for use within the classroom ( http://www.urbanedpartnership.org/uclasp/ISSUES/bringing_water/debate.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 42 information on infinite geometric series |
||
| Wikipedia | ||
| • an article full of information on and examples of infinite geometric series ( http://en.wikipedia.org/wiki/Geometric_series ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 2 Page 56 information about careers in physiotherapy |
||
| Canadian Physiotherapy Association | ||
| • a helpful website that provides more information on what physiotherapists do, educational requirements and links to Universities offering the physical therapy program ( http://www.physiotherapy.ca/public.asp?WCE=C=11%7CK=222416%7CRefreshS=Container%7CRefresh... ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 58 information about angles in standard position and reference angles |
||
| Regentsprep.org | ||
| • diagrams and visuals help aid in understanding more about standard position and reference angles ( http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 58 a video about the Cartesian coordinate system and angles in standard position |
||
| YouTube | ||
| • this introductory lesson provides information about the Cartesian coordinate system and angles in standard position ( http://www.youtube.com/watch?v=FrPPpxuogqk ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 64 additional problems relating to angles in standard position |
||
| Sparknotes | ||
| • additional problems related to angles in standard position, including answers, can be found here ( http://www.sparknotes.com/math/trigonometry/angles/problems_4.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 68 learn all about trigonometric functions |
||
| S-Cool | ||
| • information about trigonometric functions and the signs of the trigonometric ratios in each quadrant ( http://www.s-cool.co.uk/alevel/maths/trigonometry/trigonometry-with-any-angle.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 76 free programs for the TI-83 /TI-84 Plus calculators |
||
| TI Calc.org | ||
| • a wealth of TI-83/TI-84 Plus basic math programs ( http://www.ticalc.org/pub/83plus/basic/math/trigonometry/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 79 information on the sine law and the ambiguous case |
||
| Seneca College | ||
| • animated examples and solutions on how to use the sine law to solve a problem ( http://ilearn.senecac.on.ca/learningobjects/MathConcepts/SineLaw/main.htm ) |
||
|
|
||
|
|
||
|
|
||
| The Math Page | ||
| • information on the sine law and the ambiguous case • examples and solutions on how to solve problems using the sine law ( http://www.themathpage.com/aTrig/law-of-sines.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 83 information on the cosine law |
||
| ies.org | ||
| • an introduction to the cosine law along with a helpful interactive applet ( http://www.ies.co.jp/math/java/trig/yogen_auto/yogen_auto.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 83 information on using the sine law and cosine law to solve oblique triangles |
||
| Clarku.edu | ||
| • determining when and how to use the sine law and the cosine law to solve oblique triangles • three examples and solutions provided ( http://www.clarku.edu/~djoyce/trig/laws.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 86 information on the cosine law |
||
| The Math Page | ||
| • information on the cosine law • examples and solutions on how to solve problems using the cosine law ( http://www.themathpage.com/atrig/law-of-cosines.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 86 information on the cosine law for triangles |
||
| W.A.E.C Math Help | ||
| • examples for solving a problem using the cosine law for when you are given two sides and the included angle and when you are given three sides • practice questions with answers are available ( http://www.wsd1.org/waec/math/Applied%20Math%20Advanced/Trigonometry/Cosine%20Law/cosinel... ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 86 explanation about the development of the cosine law |
||
| Cut the Knot | ||
| • article providing an explanation, and proof about the cosine law ( http://www.cut-the-knot.org/pythagoras/cosine.shtml ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 3 Page 102 information about a career in engineering |
||
| Engineering Schools in Canada | ||
| • review Engineering Programs all across Canada and inquire about all the schools you’re interested in directly from this website ( http://engineeringschoolsincanada.com/ ) |
||
|
|
||
|
|
||
|
|
||
| Enginuity | ||
| • learn about what an engineer does, and different careers paths • read profiles on real people and real engineering positions ( http://www.enginuity.org.uk/what_is_engineering.cfm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 102 learn about careers related to quadratic functions |
||
| Classzone | ||
| • find out more information about careers in civil engineering, web development, set design, automotive design • learn about career paths, math on the job, and related fields ( http://www.classzone.com/books/algebra_2/page_build.cfm?id=links&ch=5 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 102 learn all about digital imaging |
||
| SPhoto | ||
| • information on digital imaging, and the math behind digital imaging ( http://www.sphoto.com/homedd/pixels&imagesize.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 104 link to download GeoGebra application |
||
| GeoGebra | ||
| • Install GeoGebra on your computer, or open a fully functional GeoGebra applet in your web browser ( www.geogebra.com ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 104 link to the Smashing Pumpkins GeoGebra applet |
||
| GeoGebra | ||
| • in the Smashing Pumpkins file students can use sliders to determine a quadratic function in vertex form that approximates the path of the pumpkin ( http://www.geogebra.org/en/wiki/index.php/Quadratic_Equations ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 104 use these online applets to explore project motion and trajectories |
||
| Projectile Motion | ||
| • use sliders to change variables such as initial velocity and the angle of the launch to explore projectile motion • students can chose between being a biker or an archer in this interactive applet ( http://www.mhhe.com/physsci/physical/giambattista/proj/projectile.html ) |
||
|
|
||
|
|
||
|
|
||
| Projectile Motion | ||
| • use sliders to change variables such as initial velocity, mass and the angle of the launch to explore projectile motion ( http://galileoandeinstein.physics.virginia.edu/more_stuff/Applets/ProjectileMotion/jarapp... ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 105 a guided investigation about the characteristics of graphs of quadratic functions |
||
| Blackgold.ab.ca | ||
| • using an interactive applet of a ball toss simulator students explore the relationship between the ball’s height and its time in the air ( http://www.blackgold.ab.ca/ict/Division4/Math/Div.%204/Ball%20Toss/index.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 105 information about the trebuchet and a graph showing velocity in relation to time |
||
| ThinkQuest | ||
| • learn about the history of the trebuchet, and the math that accompanies it • helpful games, quizzes and links to graphs showing velocity in relation to time ( http://library.thinkquest.org/05aug/00627/phy.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 108 link to download GeoGebra application |
||
| GeoGebra | ||
| • Install GeoGebra on your computer, or open a fully functional GeoGebra applet in your web browser ( www.geogebra.com ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 108 link to the quadratic graphing GeoGebra applet |
||
| Robertfant.com | ||
| • in the quadratic graphing applet students can enter the axis of symmetry, the vertex, and some ordered pairs from the table of values and then can draw the graph ( http://robertfant.com/Java/GeoGebra/QuadraticGraphing.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 114 online graphing software |
||
| Fooplot.com | ||
| • easy to use online graphing software ( http://fooplot.com/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 114 use this online applet to explore graphs of quadratic functions |
||
| ronblond.com | ||
| • this applet allows students to investigate changes in the graphs of quadratic functions in standard form ( http://www.ronblond.com/M11/QFA.sf.APPLET/index.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 114 information about the history of quadratic functions |
||
| Plus Magazine | ||
| • learn about the history of quadratic functions ( http://plus.maths.org/issue30/features/quadratic/index-gifd.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 114 learn about wind resistance |
||
| Wikipedia | ||
| • an article full of information on types of drag, resistance, and velocity ( http://en.wikipedia.org/wiki/Drag_(physics) ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 120 virtual algebra tiles |
||
| National Library of Virtual Manipulatives | ||
| • an applet providing virtual algebra tiles ( http://nlvm.usu.edu/en/nav/frames_asid_189_g_4_t_2.html?open=activities&from=category_g_4... ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 120 learn about completing the square with this applet |
||
| Wolfram Alpha | ||
| • an applet that demonstrates solving quadratic functions by completing the square • you can input different equations ( http://www.wolframalpha.com/input/?i=roots+3x^2-12x%2B6 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 123 information about telescopes |
||
| Classzone | ||
| • find out information about telescopes as an application of quadratic functions ( http://www.classzone.com/books/algebra_2/page_build.cfm?id=links&ch=5 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 123 information about traditional games of Aboriginal peoples |
||
| Virtual Museum Canada | ||
| • a wealth of information about many of the traditional games of Aboriginal peoples including woodland games and sport, lacrosse, archery, and many more ( http://www.virtualmuseum.ca/Exhibitions/Traditions/English/history_games.html ) |
||
|
|
||
|
|
||
|
|
||
| The Métis Nation of Ontario | ||
| • information on the voyager games of the Métis people, such as the hatchet throw, sling shot, and more ( http://www.metisnation.org/culture/games/home.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 125 interactive applet exploring transformations of quadratic functions |
||
| ronblond.com | ||
| • this applet allows students to explore transformations of quadratic functions in vertex form by using sliders to change the value of each parameter ( http://www.ronblond.com/M11/QFA.CSF.APPLET/index.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 129 interactive applet exploring change in quadratic functions |
||
| ronblond.com | ||
| • this applet allows students to explore changes in quadratic functions in vertex form by using sliders to change the value of each parameter and by manipulating the graph ( http://www.ronblond.com/M11/QFA.CSF.APPLET/index.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 133 link to download GeoGebra application |
||
| GeoGebra | ||
| • Install GeoGebra on your computer, or open a fully functional GeoGebra applet in your web browser ( www.geogebra.com ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 133 link to the vertex and intercepts of parabolas set up in standard form, vertex form and factored form GeoGebra applets |
||
| GeoGebra | ||
| • links to GeoGebra applets that are set up to show vertex and intercepts of parabolas set up in standard form, vertex form and factored form ( http://www.geogebra.org/en/wiki/index.php/Quadratic_Equations ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 133 information about the applications of quadratic functions involving motion |
||
| Classzone | ||
| • information about the applications of quadratic functions involving motion, such as volcanoes, torque, and astronomy ( http://www.classzone.com/books/algebra_2/page_build.cfm?id=links&ch=5 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 4 Page 142 information about careers involving quadratic equations |
||
| The Princeton Review | ||
| • article about a day in the life of a robotics engineer ( http://www.princetonreview.com/Careers.aspx?cid=139 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 144 video about fountains |
||
| 5minLife Videopedia | ||
| • a quick video which demonstrates how to make a homemade water fountain ( http://www.5min.com/Video/How-to-Make-a-Water-Feature-87885415 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 146 information about using technologies for graphing quadratic equations |
||
| Plotting a Quadratic with Excel 2003 | ||
| • step by step instructions on how to graph quadratic equations in Excel 2003 ( http://www.excel4math.com/tutorials/PlottingQuadraticWithExcel2003.htm ) |
||
|
|
||
|
|
||
|
|
||
| Wolfram Alpha | ||
| • Wolfram Alpha uses its built-in algorithms and a growing collection of data to compute the answer ( http://www.wolframalpha.com/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 148 learn more about the motion of kickoffs and the Celebration of Light |
||
| eHow | ||
| • read a step by step article on how to kick a football ( http://www.ehow.com/how_3992_kick-football.html ) |
||
|
|
||
|
|
||
|
|
||
| HSBC Celebration of Light | ||
| • learn about the history of the Celebration of Light, event information and locations, and exciting facts and figures about the competition ( http://celebration-of-light.com/event-information/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 152 learn more about West Edmonton Mall’s World Waterpark |
||
| West Edmonton Mall | ||
| • learn more about the attractions and waterslides that are in World Waterpark ( http://www.wem.ca/#/play/home/World-Waterpark ) |
||
|
|
||
|
|
||
|
|
||
| About.com | ||
| • find out where World Waterpark stands amongst the world’s biggest waterparks ( http://themeparks.about.com/od/findindoorwaterparks1/ss/LottaWater_9.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 154 information about life rafts |
||
| Paralos Sailing | ||
| • a site full of information on types of life rafts, how to use a life raft, and how to survive in a life raft ( http://www.paralosyachts.com/sailing_tips.php?st_id=40 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 154 information on Victoria’s Butchart Gardens |
||
| The Butchart Gardens | ||
| • learn about the history of the gardens, the growing climate, and the Rose Carousal • take a virtual tour of the gardens, and browse the image gallery ( http://www.butchartgardens.com/index.php?option=com_frontpage&Itemid=1 ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 154 information on avalanche control |
||
| Viddler.com | ||
| • rockets trigger avalanches to keep the slopes safe for skiers in Lake Louise, Alberta, Canada • learn some tips on how to survive being trapped in an avalanche ( http://www.viddler.com/explore/banfflakelouise/videos/3/25.025/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 154 information on factoring with algebra tiles |
||
| Factoring with Algebra Tiles | ||
| • this applet uses algebra tiles and creates the polynomial, then shows the intermediate steps to find the factors • virtual tiles allows students to generate polynomials ( http://staff.argyll.epsb.ca/jreed/math9/strand2/factor1.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 155 learn more about Roger’s Pass and graphing projectiles |
||
| British Columbia | ||
| • a great deal of information on the history of Roger’s Pass ( http://www.britishcolumbia.com/regions/towns/?townid=3496 ) |
||
|
|
||
|
|
||
|
|
||
| Wolfram Alpha | ||
| • a program which allows you to input the projectile path and provides results for maximum height, or initial speed, including the equation and the graph of the projectile path ( http://www.wolframalpha.com/input/?i=projectile ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 159 a video on the 2009 Canadian Ultimate Championship |
||
| YouTube | ||
| • watch video footage from the 2009 Canadian Ultimate Championship ( http://www.youtube.com/watch?v=tnEKhnB8kds ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 159 pictures and explanations of avalanche control |
||
| Lake Louise Lowdown | ||
| • this article written by a mountains operation supervisor at Lake Louise provides helpful step by step photos of the precautions taken in avalanche control ( http://lakelouiselowdown.wordpress.com/2008/12/15/avalanche-control-with-avalauncher/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 165 learn more about reading contour maps and elevations |
||
| Mount Union College | ||
| • helpful web site with information on contour lines, reading contour maps and on elevations ( http://raider.muc.edu/~mcnaugma/Topographic%20Maps/contour.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
|
|
|
| Chapter 1 Page 4 information on the Fibonacci sequence |
||
| Wolfram MathWorld | ||
| |
• article focusing on Fibonacci sequences ( http://mathworld.wolfram.com/FibonacciNumber.html ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 5 learn more about biomedical engineering |
||
| Wikipedia Foundations Inc | ||
| |
• find out more about the work and field of biomedical engineering ( http://en.wikipedia.org/wiki/Biomedical_engineering ) |
|
|
|
||
|
|
||
|
|
||
| University of British Columbia | ||
| |
• learn about what a biomedical engineer does, and existing employment opportunities in different fields and industries ( http://www.bme.ubc.ca/about/index.php ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 20 information on a solar eclipse |
||
| MrEclipse | ||
| |
• a wealth of information and photographs on solar eclipses ( http://www.mreclipse.com/Special/SEprimer.html ) |
|
|
|
||
|
|
||
|
|
||
| MrEclipse | ||
| |
• an animation showing the stages of a solar eclipse ( http://www.mreclipse.com/SEphoto/TSE1999/image/T99video1w.gif ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 22 learn more about Carl Gauss |
||
| The Internet Encyclopedia of Science | ||
| |
• article about the life and contributions of Carl Gauss ( http://www.daviddarling.info/encyclopedia/G/Gauss.html ) |
|
|
|
||
|
|
||
|
|
||
| Encyclopaedia Britannica | ||
| |
• article about the life and contributions of Carl Gauss ( http://www.britannica.com/EBchecked/topic/227204/Carl-Friedrich-Gauss ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 47 information about art and fractals |
||
| |
||
| |
|
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 47 examples of fractals |
||
| Coolmath | ||
| |
• a gallery full of art that is made from fractals ( http://www.coolmath.com/fractals/gallery.htm ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 47 more information on fractals and examples of fractals |
||
| Fractals | ||
| |
• a site full of information on fractals, examples of fractals and java applets for creating fractals ( http://math.rice.edu/~lanius/frac/index.html ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 2 Page 73 learn about the career of a physical therapist |
||
| Canadian Physiotherapy Association | ||
| |
• links to 14 accredited Canadian Universities with physical therapy education programs • discusses what physical therapists do, how they help and conditions they treat ( http://www.thesehands.ca/ ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 86 learn about Goldbach’s conjecture |
||
| University of North Texas | ||
| |
• provides a description of Beal’s conjecture and the prize offered for the proof or disproof of this important number theory relationship ( http://www.math.unt.edu/~mauldin/beal.html ) |
|
|
|
||
|
|
||
|
|
||
| Wolfram MathWorld | ||
| |
• article focusing on Beal’s conjecture ( http://mathworld.wolfram.com/BealsConjecture.html ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 87 information on locations of various minerals in Canada |
||
| InfoMine | ||
| |
• provides in depth information about mining and mining exploration locations within Canada • provides access to a detailed map of major mines and metallurgical facilities with Canada ( http://www.infomine.com/maps/posters/canada/ ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 120 the history of the Kicking Horse Pass and the proposal for a new tunnel |
|||||||||||||||||||
| Kicking Horse Canyon | |||||||||||||||||||
| |
• detailed information and plans on the four phases of completion, as well as the engineering and construction challenges of building the longest tunnel in North America ( http://www.kickinghorsecanyon.ca ) |
||||||||||||||||||
|
|
|||||||||||||||||||
|
|
|||||||||||||||||||
|
|
|||||||||||||||||||
| Kicking Horse Canyon (PDF) | |||||||||||||||||||
| |
• detailed information and plans on the four phases of completion, as well as the engineering and construction challenges of building the longest tunnel in North America ( www.th.gov.bc.ca/kickinghorse/updates/Project_Overview_Pres.pdf ) |
||||||||||||||||||
|
|
|||||||||||||||||||
|
|
|||||||||||||||||||
|
|
|||||||||||||||||||
|
|
|
|
|
|
| Chapter 3 Page 141 information on SpaceShipTwo and aerospace design |
||
| Virgin Galactic | ||
| |
• a wealth of information on the development and engineering of SpaceShipTwo • learn about technical innovation, safety and training that are all involved in the aerospace design ( http://www.virgingalactic.com/ ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 178 learn about the Bonneville Salt Flats and fuel-cell-powered vechicles |
||
| Ballard Power Systems | ||
| |
• information on hydrogen fuel cells and the back up power market ( www.ballard.com ) |
|
|
|
||
|
|
||
|
|
||
| Wikipedia Foundations Inc | ||
| |
• information about the history of and use of the Bonneville Salt Flats ( http://en.wikipedia.org/wiki/Bonneville_Salt_Flats ) |
|
|
|
||
|
|
||
|
|
|
|
||
|
|
||
|
|
||
| Chapter 4 Page 205 Learn About Robots |
||
| |
• a robotics engineer discusses various applications of robots in the world around us ( http://www.learnaboutrobots.com/ ) |
|
|
|
||
|
|
||
|
|
||
| Wikipedia Foundations Inc | ||
| |
• find out more about the work and field of robotics engineering ( http://en.wikipedia.org/wiki/Robotics ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 235 learn more al-khwarizmi and how to solve a quadratic equation by completing the square |
||
| Al-Khwarizmi and Quadratic Equations | ||
| |
• information about al-Khwarizmi and his work, Hisab al-jabr w'al-muqabala in which he describes how to solve a quadratic equation by completing the square ( http://www-history.mcs.st-andrews.ac.uk/Extras/Al-Khwarizmi_quadratics.html ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 257 explore generating a profile view |
||
| Hey What’s That | ||
| |
• The Path Profiler allows you to create a path and generate its elevation profile ( http://www.heywhatsthat.com/profiler.html ) |
|
|
|
||
|
|
||
|
|
||
| Wikipedia Foundations Inc | ||
| |
• find out more about contour lines and their relationship to the corresponding elevation profile ( http://en.wikipedia.org/wiki/Contour_line ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 5 Page 271 |
||
| Xpmath.com | ||
| |
( http://www.xpmath.com/careers/jobsresult.php?groupID=2&jobID=32 ) |
|
|
|
||
|
|
||
|
|
||
|
|
||
|
|
||
|
|
||
| http://www.weatheroffice.gc.ca/canada_e.html | ||
| |
Environment Canada link that touches on the math aspect of weather forecasting and it has links to the end result (ie. the weather forecast) for each province. ( http://www.weatheroffice.gc.ca/canada_e.html ) |
|
|
|
||
|
|
||
|
|
||
| http://www.ec.gc.ca/emplois-jobs/default.asp?lang=En&n=39B046ED-1#ria | ||
| |
A list of careers at Environment Canada including entries for Severe Weather Meteorologist and Atmospheric Scientist. ( http://www.ec.gc.ca/emplois-jobs/default.asp?lang=En&n=39B046ED-1#ria ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 285 |
||
| Mathworld.wolfram.com | ||
| |
– definition of a frieze pattern This link supports Section 5.2, Example 2, page 285 but there is no weblink icon in the SE on that page. ( http://mathworld.wolfram.com/FriezePattern.html ) |
|
|
|
||
|
|
||
|
|
||
| http://euler.slu.edu/escher/index.php/Frieze_Patterns | ||
| |
A more detailed and visual depiction of Frieze Patterns. This resource also connects the idea to the work of MC Escher which the students should remember from the MathLinks textbooks. ( http://euler.slu.edu/escher/index.php/Frieze_Patterns ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 301 |
||
| Transport Canada | ||
| |
– a copy of the Beaufort Scale ( http://www.tc.gc.ca/eng/marinesafety/tp-tp10038-80-wi-beaufort-scale-324.htm ) |
|
|
|
||
|
|
||
|
|
||
| Beaufort Scale | ||
| |
More info on the Beaufort Scale and a copy of the scale with pictures showing what each number on the scale looks like at sea. ( http://en.wikipedia.org/wiki/Beaufort_scale ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 6 Page 309 |
||
| Answers.com | ||
| |
( http://www.answers.com/topic/careers-in-economics ) |
|
|
|
||
|
|
||
|
|
||
| http://wiki.answers.com/Q/What_career_opportunities_are_available_in_economics | ||
| |
–information on a career in economics ( http://wiki.answers.com/Q/What_career_opportunities_are_available_in_economics ) |
|
|
|
||
|
|
||
|
|
||
| http://plus.maths.org/issue9/interview/index.html | ||
| |
Interview with a software developer for a large investment bank. ( http://plus.maths.org/issue9/interview/index.html ) |
|
|
|
||
|
|
||
|
|
||
| Brighthub.com | ||
| |
–information on medical careers ( http://www.brighthub.com/science/medical/topics/careers.aspx ) |
|
|
|
||
|
|
||
|
|
||
| http://www.sciencedaily.com/releases/2010/02/100221110340.htm | ||
| |
Discusses how biologists use math-based computer models to better understand health and disease. ( http://www.sciencedaily.com/releases/2010/02/100221110340.htm ) |
|
|
|
||
|
|
||
|
|
||
| http://plus.maths.org/issue21/interview/index.html | ||
| |
An interview with a computer games developer who talks about the role of mathematical modelling in game development. ( http://plus.maths.org/issue21/interview/index.html ) |
|
|
|
||
|
|
||
|
|
||
| NewScientist.com | ||
| |
–an article about a career in climate change ( http://www.newscientist.com/article/mg20427351.700-careers-in-climate-change.html ) |
|
|
|
||
|
|
||
|
|
||
| Khake.com | ||
| |
-a link to a long list of manufacturing career descriptions ( http://www.khake.com/page40.html ) |
|
|
|
||
|
|
||
|
|
||
| http://plus.maths.org/issue24/interview/index.html | ||
| |
An interview with a defence analyst who talks about math and some pretty neat defence projects. ( http://plus.maths.org/issue24/interview/index.html ) |
|
|
|
||
|
|
||
|
|
||
| http://plus.maths.org/issue17/features/gent/index.html | ||
| |
An article on the mathematical modelling used to manage peak loads on commuter trains. ( http://plus.maths.org/issue17/features/gent/index.html ) |
|
|
|
||
|
|
||
|
|
||
| MathAware.org | ||
| |
–information on the interaction between math and the space program ( http://www.mathaware.org/mam/05/space.exploration.html ) |
|
|
|
||
|
|
||
|
|
||
| Diamonds-are-forever.org | ||
| |
–information about Ideal Diamond Cuts ( http://www.diamonds-are-forever.org.uk/ideal-cut-diamonds.htm ) |
|
|
|
||
|
|
||
|
|
||
| http://www.diamond-rings-info.com/diamond-cutting.html | ||
| |
Resource on diamond cutting that refers to mathematical modelling. ( http://www.diamond-rings-info.com/diamond-cutting.html ) |
|
|
|
||
|
|
||
|
|
||
| http://www.achieve.org/files/MathAtWork-Aerospace.pdf | ||
| |
Information on math in the aerospace field. ( http://www.achieve.org/files/MathAtWork-Aerospace.pdf ) |
|
|
|
||
|
|
||
|
|
||
| Encyclopedia.com | ||
| |
–information on careers in Space Science ( http://www.encyclopedia.com/doc/1G2-3408800121.html ) |
|
|
|
||
|
|
||
|
|
||
| ArticlesBase.com | ||
| |
–article on a day in the life of an aerospace engineer ( http://www.articlesbase.com/careers-articles/a-day-in-the-life-of-an-aerospace-engineer-1... ) |
|
|
|
||
|
|
||
|
|
||
| Plus.math.org | ||
| |
–a career interview with a mathematical modelling consultant ( http://plus.maths.org/issue45/interview/ ) |
|
|
|
||
|
|
||
|
|
||
| Careers-descriptions.co.uk | ||
| |
–information on a career in diamond cutting ( http://www.career-descriptions.co.uk/diamond-cutting-career-description.htm ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 350 |
||
| Arctic-Caribou.com | ||
| |
( www.arctic-caribou.com ) |
|
|
|
||
|
|
||
|
|
||
| http://www.enr.gov.nt.ca/_live/pages/wpPages/Beverly_herd.aspx | ||
| |
–information on the caribou herd that the Inuit depended on in Farley Mowat’s book People of the Deer. ( http://www.enr.gov.nt.ca/_live/pages/wpPages/Beverly_herd.aspx ) |
|
|
|
||
|
|
||
|
|
|
|
||
|
|
||
|
|
||
| Chapter 7 Page 356 HowStuffWorks.com |
||
| |
– information on Boyle’s Law ( http://science.howstuffworks.com/boyles-law-info.htm ) |
|
|
|
||
|
|
||
|
|
|
|
|
|
| Page 357 |
||
| DiveSafe.com | ||
| |
–Divesafe International’s online resource ( http://www.divesafe.com/ ) |
|
|
|
||
|
|
||
|
|
||
| http://www.dtmag.com/Stories/Dive%20Careers/getting_in_deep.htm | ||
| |
( http://www.dtmag.com/Stories/Dive%20Careers/getting_in_deep.htm ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 390 |
||
| Fourmilab.ch | ||
| |
–a lunar perigee and apogee calculator ***The link supports question 12 on page 390, but there is no weblink icon on the page. ( http://www.fourmilab.ch/earthview/pacalc.html ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 392 |
||
| Maths.tcd.ie | ||
| |
– an article about Isaac Newton and his contributions to mathematics ( http://www.maths.tcd.ie/pub/HistMath/People/Newton/RouseBall/RB_Newton.html ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 8 Page 423 |
||
| http://www.ensc.sfu.ca | ||
| |
SFU–information about careers in research ( http://www.ensc.sfu.ca ) |
|
|
|
||
|
|
||
|
|
||
| http://www.ensc.sfu.ca/research/ | ||
| |
A list of the different research groups at SFU and the labs they are currently running. ( http://www.ensc.sfu.ca/research/ ) |
|
|
|
||
|
|
||
|
|
||
| http://www.sfu.ca/ipml/ | ||
| |
A specific research project at SFU, including a video about the program from the Discovery Channel. ( http://www.sfu.ca/ipml/ ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 9 Page 462 |
||
| Wikipedia.org | ||
| |
– information on the triangle inequality ( http://en.wikipedia.org/wiki/Triangle_inequality ) |
|
|
|
||
|
|
||
|
|
||
| Mathworld.wolfram.com | ||
| |
– information on the Bernoulli inequality ( http://mathworld.wolfram.com/BernoulliInequality.html ) |
|
|
|
||
|
|
||
|
|
||
| Mathworld.wolfram.com | ||
| |
– information on the Chebyshev inequality ( http://mathworld.wolfram.com/ChebyshevInequality.html ) |
|
|
|
||
|
|
||
|
|
||
| Wikipedia.org | ||
| |
–information on the Cauchy-Schwarz inequality ( http://en.wikipedia.org/wiki/Cauchy–Schwarz_inequality ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 463 |
||
| UBC School of Engineering | ||
| |
– chemical engineering ( http://www.engineering.ubc.ca ) |
|
|
|
||
|
|
||
|
|
||
| http://www.chbe.ubc.ca/prospective_students/highschool/index.php | ||
| |
More information on the areas of study within chemical engineering at UBC. ( http://www.chbe.ubc.ca/prospective_students/highschool/index.php ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 465 |
||
| Canadian Operational Research Society | ||
| |
-information about a career as an operations researcher ( http://www.cors.ca/ ) |
|
|
|
||
|
|
||
|
|
||
| http://www.learnaboutor.co.uk/learn/flash/flash_video.htm | ||
| |
A great video that offers a great deal of info on a career in operational research. ( http://www.learnaboutor.co.uk/learn/flash/flash_video.htm ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 473 |
||
| AFFTA.ab.ca | ||
| |
– information on the Alberta Foundation for the Arts ( http://www.affta.ab.ca/default.aspx ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 483 |
||
| Baseball.ca | ||
| |
–info the sport of baseball in Canada ( http://www.baseball.ca/eng_home.cfm ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 499 |
||
| http://www.youtube.com/watch?v=phNOGnTnXy4&feature=related | ||
| |
A video (from CBS) from a program in the US where science teachers were allowed to experience zero gravity and partial gravity. ( http://www.youtube.com/watch?v=phNOGnTnXy4&feature=related ) |
|
|
|
||
|
|
||
|
|
||
| http://il.youtube.com/watch?v=-GIhsj8Fk6U&feature=related | ||
| |
Col Chris Hadfield of the Canadian Space Agency giving a talk about the human body in zero gravity. ( http://il.youtube.com/watch?v=-GIhsj8Fk6U&feature=related ) |
|
|
|
||
|
|
||
|
|
||
The student resource answers are provided in the following files:
• Pre-Calculus 11 Chapter 1 Answers
• Pre-Calculus 11 Chapter 2 Answers
• Pre-Calculus 11 Chapter 3 Answers
• Pre-Calculus 11 Chapter 4 Answers
• Pre-Calculus 11 Chapter 5 Answers
• Pre-Calculus 11 Chapter 6 Answers
• Pre-Calculus 11 Chapter 7 Answers
Teachers from British Columbia can use these Unit Project Rubrics.
BLM U1-3 Unit 1 Project Rubric
BLM U2-2 Unit 2 Project Rubric Option 1
BLM U2-3 Unit 2 Project Rubric Option 2
BLM U3-2 Unit 3 Project Rubric Option 1
BLM U3-3 Unit 3 Project Rubric Option 2
Click here to access a list of the materials needed to teach Pre-Calculus 11.
Click here to access the table of contents for Pre-Calculus 11.
|
Authors Mathematics Consultant, Victoria, British Columbia |
Assessment Consultant Chris Zarski , B.Ed., M.Ed. Wetaskiwin Regional Division No. 11, Alberta |
|
Wayne Watt , B.Sc., B.Ed., M.Ed. Mathematics Consultant, Winnipeg, Manitoba |
Pedagogical Consultant Terry Melnyk , B.Ed. Edmonton Public Schools, Alberta |
|
Eric Balzarini , B.Sc., B.Ed., M.Ed. School District 35 (Langley), British Columbia |
Aboriginal Consultant Chris Ong , B.A., B.Ed. Manitoba First Nations Education Resource Centre, Manitoba |
|
Len Bonifacio , B.Ed. Edmonton Catholic Separate School District No. 7, Alberta |
Differentiated Instruction Consultant Heather Granger Prairie South School Division No. 210, Saskatechewan |
|
Scott Carlson , B.Ed., B.Sc. Golden Hills School Division No. 75, Alberta |
Gifted and Career Consultant Rick Wunderlich School Disctrict 83 (North Okanagan/Shuswap), British Columbia |
|
Blaise Johnson , B.Sc., B.Ed. School District 45 (West Vancouver), British Columbia |
Math Processes Consultant Reg Fogarty School District 83 (North Okanagan/Shuswap), British Columbia |
|
Ron Kennedy , B.Ed. Mathematics Consultant, Edmonton, Alberta |
Technology Consultants Ron Kennedy Mathematics Consultant, Edmonton, Alberta |
|
Harold Wardrop , B.Sc. Brentwood College School, Mill Bay (Independent), British Columbia |
Ron Coleborn School District 41 (Burnaby), British Columbia |
|
Contributing Author Stephanie Mackay Edmonton Catholic Separate School District No. 7, Alberta |
Advisors John Agnew School District 63 (Saanich), British Columbia |
|
Consultants Senior Program Consultant Bruce McAskill , B.Sc., B.Ed., M.Ed., Ph.D. Mathematics Consultant, Victoria, British Columbia |
Katharine Borgen School District 39 (Vancouver) and University of British Columbia, British Columbia |
|
Wayne Watt , B.Sc., B.Ed., M.Ed. Mathematics Consultant, Winnipeg, Manitoba |
Francophone Advisors Mario Chaput Pembina Trails School Division, Manitoba |
|
Barb Gajdos Calgary Roman Catholic Separate School District No. 1, Alberta |
Luc Lerminiaux Regina School Division No. 4, Saskatchewan |
|
Sandy Harazny Regina Roman Catholic Separate School Division No. 81, Alberta |
Inuit Advisor Christine Purse Mathematics Consultant, British Columbia |
|
Renée Jackson University of Alberta, Alberta |
Métis Advisor Greg King Northern Lights School Division No. 69, Alberta |
|
Gerald Krabbe Calgary Board of Education, Alberta |
Technical Advisor Darren Kuropatwa Winnipeg School Division #1, Manitoba |
|
Gail Poshtar Calgary Roman Catholic Separate School District No. 1, Alberta |
|
Use this link to access the curriculum document for this course.
<http://www.wncp.ca/english/subjectarea/mathematics/ccf.aspx>
The following blackline masters provide warm-ups for each section of Pre-Calculus 11. The warm-up for the first section of each chapter provides a review of pre-requisite skills. The warm-ups for the other sections reinforce the skills and processes handled in the chapter.
Answers are provided in the following files:
These masters are provided in Word so that you can adapt them to the needs of your particular students.
|
|
|
|
|
|
|
|
|
|
|
|
|
| Chapter 1 Page 4 information on the Fibonacci sequence |
||
| Wolfram MathWorld | ||
| |
• article focusing on Fibonacci sequences ( http://mathworld.wolfram.com/FibonacciNumber.html ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 5 learn more about biomedical engineering |
||
| Wikipedia Foundations Inc | ||
| |
• find out more about the work and field of biomedical engineering ( http://en.wikipedia.org/wiki/Biomedical_engineering ) |
|
|
|
||
|
|
||
|
|
||
| University of British Columbia | ||
| |
• learn about what a biomedical engineer does, and existing employment opportunities in different fields and industries ( http://www.bme.ubc.ca/about/index.php ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 20 information on a solar eclipse |
||
| MrEclipse | ||
| |
• a wealth of information and photographs on solar eclipses ( http://www.mreclipse.com/Special/SEprimer.html ) |
|
|
|
||
|
|
||
|
|
||
| MrEclipse | ||
| |
• an animation showing the stages of a solar eclipse ( http://www.mreclipse.com/SEphoto/TSE1999/image/T99video1w.gif ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 22 learn more about Carl Gauss |
||
| The Internet Encyclopedia of Science | ||
| |
• article about the life and contributions of Carl Gauss ( http://www.daviddarling.info/encyclopedia/G/Gauss.html ) |
|
|
|
||
|
|
||
|
|
||
| Encyclopaedia Britannica | ||
| |
• article about the life and contributions of Carl Gauss ( http://www.britannica.com/EBchecked/topic/227204/Carl-Friedrich-Gauss ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 47 information about art and fractals |
||
| |
||
| |
|
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 47 examples of fractals |
||
| Coolmath | ||
| |
• a gallery full of art that is made from fractals ( http://www.coolmath.com/fractals/gallery.htm ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 47 more information on fractals and examples of fractals |
||
| Fractals | ||
| |
• a site full of information on fractals, examples of fractals and java applets for creating fractals ( http://math.rice.edu/~lanius/frac/index.html ) |
|
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Chapter 2 Page 73 learn about the career of a physical therapist |
||
| Canadian Physiotherapy Association | ||
| • links to 14 accredited Canadian Universities with physical therapy education programs • discusses what physical therapists do, how they help and conditions they treat ( http://www.thesehands.ca/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 86 learn about Goldbach’s conjecture |
||
| University of North Texas | ||
| • provides a description of Beal’s conjecture and the prize offered for the proof or disproof of this important number theory relationship ( http://www.math.unt.edu/~mauldin/beal.html ) |
||
|
|
||
|
|
||
|
|
||
| Wolfram MathWorld | ||
| • article focusing on Beal’s conjecture ( http://mathworld.wolfram.com/BealsConjecture.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 87 information on locations of various minerals in Canada |
||
| InfoMine | ||
| • provides in depth information about mining and mining exploration locations within Canada • provides access to a detailed map of major mines and metallurgical facilities with Canada ( http://www.infomine.com/maps/posters/canada/ ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 120 the history of the Kicking Horse Pass and the proposal for a new tunnel |
||
| Kicking Horse Canyon | ||
| • detailed information and plans on the four phases of completion, as well as the engineering and construction challenges of building the longest tunnel in North America ( http://www.kickinghorsecanyon.ca ) |
||
|
|
||
|
|
||
|
|
||
| Kicking Horse Canyon (PDF) | ||
| • detailed information and plans on the four phases of completion, as well as the engineering and construction challenges of building the longest tunnel in North America ( www.th.gov.bc.ca/kickinghorse/updates/Project_Overview_Pres.pdf ) |
||
|
|
||
|
|
||
|
|
||
| Exploration Map |
|
|
|
|
Chapter 3 Page 141 information on SpaceShipTwo and aerospace design | ||
| Virgin Galactic | ||
| • a wealth of information on the development and engineering of SpaceShipTwo • learn about technical innovation, safety and training that are all involved in the aerospace design ( http://www.virgingalactic.com/ ) |
||
| ||
| ||
| ||
|
|
|
|
Page 178 learn about the Bonneville Salt Flats and fuel-cell-powered vechicles | ||
| Ballard Power Systems | ||
| • information on hydrogen fuel cells and the back up power market ( www.ballard.com ) |
||
| ||
| ||
| ||
| Wikipedia Foundations Inc | ||
| • information about the history of and use of the Bonneville Salt Flats ( http://en.wikipedia.org/wiki/Bonneville_Salt_Flats ) |
||
| ||
| ||
| ||
|
|
|
|
|
|
| Chapter 4 Page 205 information about robotics engineering including the high school and college courses that are needed |
||
|
|
||
|
|
||
|
|
||
| Learn About Robots | ||
| • a robotics engineer discusses various applications of robots in the world around us ( http://www.learnaboutrobots.com/ ) |
||
|
|
||
|
|
||
|
|
||
| Wikipedia Foundations Inc | ||
| • find out more about the work and field of robotics engineering ( http://en.wikipedia.org/wiki/Robotics ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 235 learn more al-khwarizmi and how to solve a quadratic equation by completing the square |
||
| Al-Khwarizmi and Quadratic Equations | ||
| • information about al-Khwarizmi and his work, Hisab al-jabr w'al-muqabala in which he describes how to solve a quadratic equation by completing the square ( http://www-history.mcs.st-andrews.ac.uk/Extras/Al-Khwarizmi_quadratics.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 257 explore generating a profile view |
||
| Hey What’s That | ||
| • The Path Profiler allows you to create a path and generate its elevation profile ( http://www.heywhatsthat.com/profiler.html ) |
||
|
|
||
|
|
||
|
|
||
| Wikipedia Foundations Inc | ||
| • find out more about contour lines and their relationship to the corresponding elevation profile ( http://en.wikipedia.org/wiki/Contour_line ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 271 |
||
| Xpmath.com | ||
| ( http://www.xpmath.com/careers/jobsresult.php?groupID=2&jobID=32 ) |
||
|
|
||
|
|
||
|
|
||
| http://www.weatheroffice.gc.ca/canada_e.html | ||
| Environment Canada link that touches on the math aspect of weather forecasting and it has links to the end result (ie. the weather forecast) for each province. ( http://www.weatheroffice.gc.ca/canada_e.html ) |
||
|
|
||
|
|
||
|
|
||
| http://www.ec.gc.ca/emplois-jobs/default.asp?lang=En&n=39B046ED-1#ria | ||
| A list of careers at Environment Canada including entries for Severe Weather Meteorologist and Atmospheric Scientist. ( http://www.ec.gc.ca/emplois-jobs/default.asp?lang=En&n=39B046ED-1#ria ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 285 |
||
| Mathworld.wolfram.com | ||
| – definition of a frieze pattern This link supports Section 5.2, Example 2, page 285 but there is no weblink icon in the SE on that page. ( http://mathworld.wolfram.com/FriezePattern.html ) |
||
|
|
||
|
|
||
|
|
||
| http://euler.slu.edu/escher/index.php/Frieze_Patterns | ||
| A more detailed and visual depiction of Frieze Patterns. This resource also connects the idea to the work of MC Escher which the students should remember from the MathLinks textbooks. ( http://euler.slu.edu/escher/index.php/Frieze_Patterns ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 301 |
||
| Transport Canada | ||
| – a copy of the Beaufort Scale ( http://www.tc.gc.ca/eng/marinesafety/tp-tp10038-80-wi-beaufort-scale-324.htm ) |
||
|
|
||
|
|
||
|
|
||
| Beaufort Scale | ||
| More info on the Beaufort Scale and a copy of the scale with pictures showing what each number on the scale looks like at sea. ( http://en.wikipedia.org/wiki/Beaufort_scale ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
Page 309 | ||
| Answers.com | ||
|
( http://www.answers.com/topic/careers-in-economics ) |
||
| ||
| ||
| ||
| http://wiki.answers.com/Q/What_career_opportunities_are_available_in_economics | ||
| –information on a career in economics ( http://wiki.answers.com/Q/What_career_opportunities_are_available_in_economics ) |
||
| ||
| ||
| ||
| http://plus.maths.org/issue9/interview/index.html | ||
| Interview with a software developer for a large investment bank. ( http://plus.maths.org/issue9/interview/index.html ) |
||
| ||
| ||
| ||
| Brighthub.com | ||
| –information on medical careers ( http://www.brighthub.com/science/medical/topics/careers.aspx ) |
||
| ||
| ||
| ||
| http://www.sciencedaily.com/releases/2010/02/100221110340.htm | ||
| Discusses how biologists use math-based computer models to better understand health and disease. ( http://www.sciencedaily.com/releases/2010/02/100221110340.htm ) |
||
| ||
| ||
| ||
| http://plus.maths.org/issue21/interview/index.html | ||
| An interview with a computer games developer who talks about the role of mathematical modelling in game development. ( http://plus.maths.org/issue21/interview/index.html ) |
||
| ||
| ||
| ||
| NewScientist.com | ||
| –an article about a career in climate change ( http://www.newscientist.com/article/mg20427351.700-careers-in-climate-change.html ) |
||
| ||
| ||
| ||
| Khake.com | ||
| -a link to a long list of manufacturing career descriptions ( http://www.khake.com/page40.html ) |
||
| ||
| ||
| ||
| http://plus.maths.org/issue24/interview/index.html | ||
| An interview with a defence analyst who talks about math and some pretty neat defence projects. ( http://plus.maths.org/issue24/interview/index.html ) |
||
| ||
| ||
| ||
| http://plus.maths.org/issue17/features/gent/index.html | ||
| An article on the mathematical modelling used to manage peak loads on commuter trains. ( http://plus.maths.org/issue17/features/gent/index.html ) |
||
| ||
| ||
| ||
| MathAware.org | ||
| –information on the interaction between math and the space program ( http://www.mathaware.org/mam/05/space.exploration.html ) |
||
| ||
| ||
| ||
| Diamonds-are-forever.org | ||
| –information about Ideal Diamond Cuts ( http://www.diamonds-are-forever.org.uk/ideal-cut-diamonds.htm ) |
||
| ||
| ||
| ||
| http://www.diamond-rings-info.com/diamond-cutting.html | ||
| Resource on diamond cutting that refers to mathematical modelling. ( http://www.diamond-rings-info.com/diamond-cutting.html ) |
||
| ||
| ||
| ||
| http://www.achieve.org/files/MathAtWork-Aerospace.pdf | ||
| Information on math in the aerospace field. ( http://www.achieve.org/files/MathAtWork-Aerospace.pdf ) |
||
| ||
| ||
| ||
| Encyclopedia.com | ||
| –information on careers in Space Science ( http://www.encyclopedia.com/doc/1G2-3408800121.html ) |
||
| ||
| ||
| ||
| ArticlesBase.com | ||
| –article on a day in the life of an aerospace engineer ( http://www.articlesbase.com/careers-articles/a-day-in-the-life-of-an-aerospace-engineer-1... ) |
||
| ||
| ||
| ||
| Plus.math.org | ||
| –a career interview with a mathematical modelling consultant ( http://plus.maths.org/issue45/interview/ ) |
||
| ||
| ||
| ||
| Careers-descriptions.co.uk | ||
| –information on a career in diamond cutting ( http://www.career-descriptions.co.uk/diamond-cutting-career-description.htm ) |
||
| ||
| ||
| ||
|
|
|
|
Page 350 | ||
| Arctic-Caribou.com | ||
|
( www.arctic-caribou.com ) |
||
| ||
| ||
| ||
| http://www.enr.gov.nt.ca/_live/pages/wpPages/Beverly_herd.aspx | ||
| –information on the caribou herd that the Inuit depended on in Farley Mowat’s book People of the Deer. ( http://www.enr.gov.nt.ca/_live/pages/wpPages/Beverly_herd.aspx ) |
||
| ||
| ||
| ||
|
|
|
|
|
|
| Page 356 |
||
|
|
||
|
|
||
| HowStuffWorks.com | ||
| – information on Boyle’s Law ( http://science.howstuffworks.com/boyles-law-info.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 357 |
||
| DiveSafe.com | ||
| –Divesafe International’s online resource ( http://www.divesafe.com/ ) |
||
|
|
||
|
|
||
|
|
||
| http://www.dtmag.com/Stories/Dive%20Careers/getting_in_deep.htm | ||
| ( http://www.dtmag.com/Stories/Dive%20Careers/getting_in_deep.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 390 |
||
| Fourmilab.ch | ||
| –a lunar perigee and apogee calculator ***The link supports question 12 on page 390, but there is no weblink icon on the page. ( http://www.fourmilab.ch/earthview/pacalc.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 392 |
||
| Maths.tcd.ie | ||
| – an article about Isaac Newton and his contributions to mathematics ( http://www.maths.tcd.ie/pub/HistMath/People/Newton/RouseBall/RB_Newton.html ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
Page 423 | ||
| http://www.ensc.sfu.ca | ||
| SFU–information about careers in research ( http://www.ensc.sfu.ca ) |
||
| ||
| ||
| ||
| http://www.ensc.sfu.ca/research/ | ||
| A list of the different research groups at SFU and the labs they are currently running. ( http://www.ensc.sfu.ca/research/ ) |
||
| ||
| ||
| ||
| http://www.sfu.ca/ipml/ | ||
| A specific research project at SFU, including a video about the program from the Discovery Channel. ( http://www.sfu.ca/ipml/ ) |
||
| ||
| ||
| ||
|
|
|
|
|
|
| Page 462 |
||
| Wikipedia.org | ||
| – information on the triangle inequality ( http://en.wikipedia.org/wiki/Triangle_inequality ) |
||
|
|
||
|
|
||
|
|
||
| Mathworld.wolfram.com | ||
| – information on the Bernoulli inequality ( http://mathworld.wolfram.com/BernoulliInequality.html ) |
||
|
|
||
|
|
||
|
|
||
| Mathworld.wolfram.com | ||
| – information on the Chebyshev inequality ( http://mathworld.wolfram.com/ChebyshevInequality.html ) |
||
|
|
||
|
|
||
|
|
||
| Wikipedia.org | ||
| –information on the Cauchy-Schwarz inequality ( http://en.wikipedia.org/wiki/Cauchy–Schwarz_inequality ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 463 |
||
| UBC School of Engineering | ||
| – chemical engineering ( http://www.engineering.ubc.ca ) |
||
|
|
||
|
|
||
|
|
||
| http://www.chbe.ubc.ca/prospective_students/highschool/index.php | ||
| More information on the areas of study within chemical engineering at UBC. ( http://www.chbe.ubc.ca/prospective_students/highschool/index.php ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 465 |
||
| Canadian Operational Research Society | ||
| -information about a career as an operations researcher ( http://www.cors.ca/ ) |
||
|
|
||
|
|
||
|
|
||
| http://www.learnaboutor.co.uk/learn/flash/flash_video.htm | ||
| A great video that offers a great deal of info on a career in operational research. ( http://www.learnaboutor.co.uk/learn/flash/flash_video.htm ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 473 |
||
| AFFTA.ab.ca | ||
| – information on the Alberta Foundation for the Arts ( http://www.affta.ab.ca/default.aspx ) |
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 483 |
||
| Baseball.ca | ||
| –info the sport of baseball in Canada ( http://www.baseball.ca/eng_home.cfm ) |
||
|
|
||
|
|
||
|
|
||
|
|
||
|
|
|
|
|
|
| Page 499 |
||
| http://www.youtube.com/watch?v=phNOGnTnXy4&feature=related | ||
| A video (from CBS) from a program in the US where science teachers were allowed to experience zero gravity and partial gravity. ( http://www.youtube.com/watch?v=phNOGnTnXy4&feature=related ) |
||
|
|
||
|
|
||
|
|
||
| http://il.youtube.com/watch?v=-GIhsj8Fk6U&feature=related | ||
| Col Chris Hadfield of the Canadian Space Agency giving a talk about the human body in zero gravity. ( http://il.youtube.com/watch?v=-GIhsj8Fk6U&feature=related ) |
||
|
|
||
|
|
||
|
|
||