Foundations of Mathematics 10


Go Back to Main Page

Video Tutorials

The video tutorials below will assist you when using technology throughout the chapters.


Videos in SWF format

GSPIntro  An introduction to Geometer's Sketchpad.
GSPpref  How to set preferences: units; precision.
GSPselect  How to select objects and groups of objects.
GSPCons1  Basic constructions: points; lines; circles; polygons.
GSPmeas1  Measuring lengths, angles, slopes.
GSPcalc  Using the calculator.
GSPFunc  Plotting functions.
GSPCust1  Custom Tools, Part One.
GSPCust2  Custom Tools, Part Two.

ti83Intro  An introduction to the TI-83 calculator keyboard and screens.
ti83frac  Using the TI-83 to calculate with fractions.
ti83graph  How to graph functions and change their appearance on-screen.
ti83trace  How to use the TRACE function.
ti83intersect  Finding intersections of lines.
ti83maxmin  Using the TI-83 to find the maxima and minima of functions.
ti83stat  Plotting data.


Videos in WMV format

GSPIntro  An introduction to Geometer's Sketchpad.
GSPpref  How to set preferences: units; precision.
GSPselect  How to select objects and groups of objects.
GSPCons1  Basic constructions: points; lines; circles; polygons.
GSPmeas1  Measuring lengths, angles, slopes.
GSPcalc  Using the calculator.
GSPFunc  Plotting functions.
GSPCust1  Custom Tools, Part One.
GSPCust2  Custom Tools, Part Two.

ti83Intro  An introduction to the TI-83 calculator keyboard and screens.
ti83frac  Using the TI-83 to calculate with fractions.
ti83graph  How to graph functions and change their appearance on-screen.
ti83trace  How to use the TRACE function.
ti83intersect  Finding intersections of lines.
ti83maxmin  Using the TI-83 to find the maxima and minima of functions.
ti83stat  Plotting data.










Internet Connect



Getting Started with TI-83 Plus/TI-84 Plus

<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=jpg::::/./olc2/dl/449925/mhr_ml7_tr_TI_Icon.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (48.0K)</a>
These lessons provided by Texas Instruments will focus on introducing you to the TI-83 Plus and TI-84 Plus through various guided interactive activities.


These lessons are provided through Texas Instruments, and as such do not necessarily follow the Western and Northern Canadian Protocol The Common Curriculum Framework for Grades K–9 Mathematics. The following lessons and activities align with our curriculum and standards and we hope you take the time to enjoy the module and take from it what you feel will apply in your classroom setting.

Module 4: Draw on Your Knowledge of Coordinates
This module will examine the following:
• using graph window presets such as zstandard, zdecimal, zinterger, to create friendly viewing windows
• manually changing the window settings to create friendly viewing graph windows and manually setting the centre of a window
• graphing lines squares, circles using tools from the draw menu and clearing drawings
• drawing on the graph screen using the draw tools from the home screen and storing/recalling drawings
• downloading and using TI Connect to capture drawings on the home screen

Module 5: Transformations
This module will examine the following:
• using the set up editor and the alpha lock feature to name and create lists
• using graph window presets such as zoomstat and zsquare to create friendly viewing windows and manually changing window settings
• performing operations on lists to reflect, translate and dilate graphs
• using the augment and dim commands to change the size of lists

Module 8: Solving Equations
This module will examine the following:
• using the guess-and-test method to solve equations
• entering expressions and using concatenation on home screen to solve expressions
• entering functions using the y = editor and using the table feature to find missing values
• Solving Equations Algebraically store values and compare answers with expressions with rational numbers
• using y= editor to graphing and using the Calc menu to find intersection points
• expressing answers in fractional form

Module 17: Systems of Linear Equations
This module will examine the following:
• using home screen to guess and check solutions and to find the intersection point of two functions
• graphing functions and performing mathematical operations on functions in the y= editor
• entering matrices and finding a solution using the rref (row reduced echelon form) feature


To view these files, Adobe's free Flash Player application is required.


For additional support on this product and material please contact Texas Instruments.


<a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=jpg::::/./olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=jpg::::/./olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=jpg::::/./olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=jpg::::/./olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=jpg::::/./olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=jpg::::/./olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>    <a onclick="window.open('/./olcweb/cgi/pluginpop.cgi?it=jpg::::/./olc2/dl/449925/mhr_ml7_tr_TI_Calc4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="./olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>



For more exciting TI-83 Plus and TI-84 Plus modules, please visit the Texas Instruments site.

http://education.ti.com/educationportal/sites/US/nonProductMulti/pd_onlinealgebra_free.html



If you have a TI-Navigator system, please visit the Texas Instruments site for supporting modules.


http://education.ti.com/educationportal/sites/US/nonProductMulti/pd_onlinemgnavigator_free.html


The TI website offers a wide range of free activities for classroom use. Go to www.education.ti.com and visit the Activities Exchange portal for more resources that are aligned to Canadian standards.




* TI-83 Plus and TI-84 Plus are a trademark of Texas Instruments, Inc.
** TI-Navigator is a trademark of Texas Instruments, Inc.




Internet Connects


Google Web Search Features

http://www.google.ca/intl/en/help/features.html#calculator
Did you know that you can use Google as a conversion calculator? You can convert from Imperial to Metric or vice versa.
( http://www.google.ca/intl/en/help/features.html#calculator )
Your Weight on Other Worlds (Math Connect page 13)

http://www.exploratorium.edu/ronh/weight/
Enter your weight in any units and find out how much you would weight on all other major bodies in the solar system.
( http://www.exploratorium.edu/ronh/weight/ )
Goldilocks and the 3 Similar Triangles

http://demonstrations.wolfram.com/GoldilocksAndThe3SimilarTriangles/
A downloadable demonstration of an important property of similar triangles. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/GoldilocksAndThe3SimilarTriangles/ )
Learning Math: Geometry Session 8, Part B: Similar Triangles (Math Connect page 29)

http://www.learner.org/channel/courses/learningmath/geometry/session8/part_b/measuring.ht...
Scroll down to the bottom of the page and click on the “Play Video” button to see how doctors use similar triangles to calculate the position of radiation treatments for cancer patients.
( http://www.learner.org/channel/courses/learningmath/geometry/session8/part_b/measuring.ht... )
Who was Eratosthenes of Cyrene?

http://www.eranet.gr/eratosthenes/html/eoc.html
A succinct biography of the classical mathematician and his work.
( http://www.eranet.gr/eratosthenes/html/eoc.html )

Internet Connects


A Picture Proof of the Pythagorean Theorem (Math Connect page 50)

http://oneweb.utc.edu/~Christopher-Mawata/geom/geom7.htm
A Java applet showing one proof of Pythagoras' Theorem.
( http://oneweb.utc.edu/~Christopher-Mawata/geom/geom7.htm )
Pythagoras’ Haven (Math Connect page 50)

http://www.math.ubc.ca/~morey/java/pyth/index.html
Another applet illustrating Euclid’s proof of the Theorem.
( http://www.math.ubc.ca/~morey/java/pyth/index.html )
SOHCAHTOA Triangle

http://demonstrations.wolfram.com/SOHCAHTOATriangle/
A downloadable applet illustrating the sine, cosine, and tangent ratios. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/SOHCAHTOATriangle/ )
Trigonometry (the use of Trigonometry in the geosciences, Math Connect page 71)

http://serc.carleton.edu/mathyouneed/trig.html
Scroll to the bottom of the page to see a summary of ways trigonometry is used in the geosciences.
( http://serc.carleton.edu/mathyouneed/trig.html )

Internet Connects


Equation of a Line – Slope-Intercept Form

http://id.mind.net/~zona/mmts/functionInstitute/linearFunctions/lsif.html
An interactive applet which allows you to see how changes to m and b change the graph of the linear function y = mx + b.
( http://id.mind.net/~zona/mmts/functionInstitute/linearFunctions/lsif.html )
Equation of a Line Game

http://demonstrations.wolfram.com/EquationOfALineGame/
Practice your equation-building skills using this downloadable applet. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/EquationOfALineGame/ )

Internet Connects


Al-Khwarizmi Biography (Math Connect page 155)

http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Al-Khwarizmi.html
A biography of Abu Ja'far Muhammad ibn Musa al-Khwarizmi, who helped re-introduce classical mathematics to Europe after the Dark Ages.
( http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Al-Khwarizmi.html )
Physics of Maple Syrup Making (Math Connect page 162)

http://www.goshen.edu/merrylea/sugar/physics.htm
Read about the physics behind the making of maple syrup.
( http://www.goshen.edu/merrylea/sugar/physics.htm )
Tasting Maple Syrup for Science @ Science Blog

http://www.scienceblog.com/cms/tasting_maple_syrup_for_science_10234.html
Another article about the science of maple syrup making.
( http://www.scienceblog.com/cms/tasting_maple_syrup_for_science_10234.html )
Quia – Solve Multi-Step Equations

http://www.quia.com/rr/168572.html
Practice solving multi-step linear equations in a quiz-show format.
( http://www.quia.com/rr/168572.html )
NASA – Hypersonic X-43A Takes Flight (Math Connect page 171)

http://www.nasa.gov/missions/research/x43-main.html
Read about one of the fastest planes in the world at NASA’s official website.
( http://www.nasa.gov/missions/research/x43-main.html )
Simple vs Compound Interest

http://demonstrations.wolfram.com/SimpleVersusCompoundInterest/
An interactive demonstration of the difference between simple and compound interest. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/SimpleVersusCompoundInterest/ )
Webmath.com Compound Interest Calculator

http://www.webmath.com/compinterest.html
An online calculator for calculating compound interest.
( http://www.webmath.com/compinterest.html )
Linear Function – General Form

http://id.mind.net/~zona/mmts/functionInstitute/linearFunctions/lgf.html
An interactive applet which allows you to see the effects changing A, B, and C in the equation Ax + By + C = 0.
( http://id.mind.net/~zona/mmts/functionInstitute/linearFunctions/lgf.html )

Internet Connects


Systems of Linear Equations – Graphical Approach

http://www.analyzemath.com/systems/systems.htm
An online application for solving linear systems graphically.
( http://www.analyzemath.com/systems/systems.htm )

Internet Connects


Linear and Quadratic Curve Fitting Practice

http://demonstrations.wolfram.com/LinearAndQuadraticCurveFittingPractice/
Practice finding the quadratic curve of best fit using randomly-generated data. The download contains ActiveX controls, which may not load on some school networks.
( http://demonstrations.wolfram.com/LinearAndQuadraticCurveFittingPractice/ )

Internet Connects


Multiplying Binomials Practice

http://regentsprep.org/REgents/math/polymult/BinJava.htm
Some practice problems in multiplying binomials
( http://regentsprep.org/REgents/math/polymult/BinJava.htm )
Common Factoring – Learning Algebra Fundamentals

http://www.curriculum.org/tcf/teachers/projects/algebra/commonfactorflash.adp
An online lesson review in common factoring.
( http://www.curriculum.org/tcf/teachers/projects/algebra/commonfactorflash.adp )
Factoring the Difference of Two Squares

http://regentsprep.org/Regents/math/factor/Lfactps.htm
An online review of factoring the difference of squares.
( http://regentsprep.org/Regents/math/factor/Lfactps.htm )
Factoring

http://regentsprep.org/regents/Math/factor/PracFact1.htm
Online practice of factoring the difference of squares.
( http://regentsprep.org/regents/Math/factor/PracFact1.htm )
Square Root Calculator (Math Connect page 300)

http://www.math.com/students/calculators/source/square-root.htm
An online square-root calculator.
( http://www.math.com/students/calculators/source/square-root.htm )
Square and Square Root Calculator (Math Connect page 300)

http://www.csgnetwork.com/squarerootsquarecalc.html
Another online square-root calculator (also calculates squares).
( http://www.csgnetwork.com/squarerootsquarecalc.html )
Cool math Algebra Problem Generator – Factoring Trinomials

http://www.coolmath.com/algebra/cruncher/algebra-problems-factoring-trinomials-0.htm
Unlimited online practice factoring trinomials of the form x2 + bx + c.
( http://www.coolmath.com/algebra/cruncher/algebra-problems-factoring-trinomials-0.htm )

Internet Connects


Graphing Calculator – Using the CALCULATE Menu – Part II

http://www.algebralab.org/lessons/lesson.aspx?file=calculator_CALCmenu2.xml
Online tutorial on using TI-83/83+ to find maximum or minimum of a parabola.
( http://www.algebralab.org/lessons/lesson.aspx?file=calculator_CALCmenu2.xml )

Internet Connects


YouTube – Deriving the Formula – Volume of a Pyramid

http://www.youtube.com/watch?v=BjbilpBaA-U
An excellent visual demonstration of the pyramid volume formula.
( http://www.youtube.com/watch?v=BjbilpBaA-U )
Interactive: Surface Area and Volume

http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/?version=1.6.0_03&bro...
This applet can be used to explore the surface area and volume of various simple polyhedra.
( http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/?version=1.6.0_03&bro... )
Surface Area of a Cylinder (Math Connect page 390)

http://www.321know.com/exp79x10.htm
This site allows you to practice calculating the surface areas of randomly-generated cylinders.
( http://www.321know.com/exp79x10.htm )