Principles of Mathematics 9


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

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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


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


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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.




Getting Started with TI-Nspire

These lessons will focus on introducing you to the TI-Nspire handheld by looking at the layout of the keypad and the key features of operating the Applications.

Lesson 1
Familiarize yourself with the layout of the handheld keypad and how to navigate the various screens you will encounter.
Start this lesson

Lesson 2
Familiarize yourself with a few of the basics of the Graphs & Geometry application. You will learn how to graph and edit functions as well as edit the window settings using built-in zoom options.
Start this lesson

Lesson 3
The Basics of the Lists & Spreadsheet Application - Gain familiarity with all the basics of the Lists & Spreadsheet application. You will learn a variety of ways to enter values in to the spreadsheet.
Start this lesson

Lesson 4
Calculator, Notes, and the Document Model - Learn some basic features of the Notes application and Calculator application. The document model will also be discussed to help you see how the TI-Nspire can help students develop a deeper understanding of mathematical concepts through guided investigations.
Start this lesson




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





Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Key Concepts

Click on the links below to view a worked example for each of the Key Concepts. Follow the links on our menu to take the quizzes for each section.


1.1 Focus on Problem Solving
Problem Solving Strategies (14.0K)


1.3 Focus on Connecting
Making Connections (30.0K)



1.6 Focus on Reasoning and Proving
Reasoning using Systematic Trial (27.0K)











Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Video Tutorials

Video Tutorial: Creating Scatter Plots

Fathom™, Excel®, Quattro Pro®

Principles of Mathematics 9, Chapter 2, Section 3, Example 2, Page 60

Using Fathom™ (Windows Media)                   Adding a Trendline
Using Fathom™ (Macromedia Flash)               Adding a Trendline

Using Excel® (Windows Media)                       Adding a Trendline
Using Excel® (Macromedia Flash)                   Adding a Trendline

Using Quattro Pro® (Windows Media)             Adding a Trendline
Using Quattro Pro ® (Macromedia Flash)        Adding a Trendline




Note: You will need the newest version of the Flash Player plug-in to view the animations.

Videos

Video Tutorial: Using a CBR
With a Graphing Calculator

Principles of Mathematics 9, Section 2.6 Investigate A, Page 88

The CBR, or Calculator Based Ranger, can be used with a TI83+ or TI84+ graphing calculator to collect distance and time data. These data are then displayed as a distance versus time graph. This tutorial shows you

● how to connect the CBR to the calculator
● how to start the Ranger application
● how to set the parameters for the investigation

2s6 Using a CBR (Windows Media)
2s6 Using a CBR Macromedia Flash

Internet Connects


CHAPTER 2 RELATIONS

Section 2.4

7. The table shows the number of music singles, cassettes, and CDs sold in Canada between 1998 and 2004.

Trends in Recording Sales
The Canadian Recording Industry Association charts the sales of various formats of recorded music every month. Click on “archives” for previous tables, some of which include cassette sales.
( http://www.cria.ca/stats.php )
10. The Club of Rome is a group of scientists, teachers, economists, and others who study world issues.

The Limits to Growth
This is an abstract, or summary, of the original book, written by the authors. It is challenging reading, but you may be able to get a good idea of the authors’ predictions by skimming it.
( http://www.clubofrome.org/docs/limits.rtf )
Beyond the Limits to Growth
In this update of the Limits to Growth book, the authors explain why they now feel that their predictions are coming true much earlier than they had originally thought.
( http://www.context.org/ICLIB/IC32/Meadows.htm )
CHAPTER 4 EQUATIONS

Section 4.1, Example 1, Method 2


A Balanced Solution
Have fun balancing out the elements of the equation in this interactive model.
( http://nlvm.usu.edu/en/nav/frames_asid_324_g_3_t_2.html )
CHAPTER 6 ANALYSING LINEAR RELATIONS

Chapter 6 Opener


The Official Global GPS Cache Hunt Site
Click on “Getting Started” for lots of information about geocaching, including frequently asked questions. At “Hide and Seek a Cache,” you can enter your postal code to find geocaches in your area.
( http://www.geocaching.com/ )
CHAPTER 7 GEOMETRIC RELATIONS

Section 7.1



Make a 3-D Hexaflexagon
Follow the instructions and copy the template to make this hexaflexagon.
( http://www.enchantedlearning.com/math/geometry/hexaflexagon/instructions.shtml )
The Fabulous Flexagons
You can scroll down to the instructions for hexaflexagons or start with the triflexagons at the top of the page.
( http://www.murderousmaths.co.uk/games/flex/flexmake.htm )
Section 7.3

Polygon Properties
Do you know what a myriagon is? Find out on this page, which gives you all the names for polygon parts and different types of polygons.
( http://www.math.com/tables/geometry/polygons.htm )
Question 19

Great Buildings
You have lots of choice at this alphabetical list of famous buildings. Look at the ones that interest you, or do an advanced search for “polygon” in one of the descriptive categories.
( http://www.greatbuildings.com/buildings.html )
Section 7.4

The Sierpinski Triangle
Follow the steps on this Web site to make a Sierpinski triangle. Use the links at the bottom of the page and on the side menu if you want more information.
( http://math.rice.edu/~lanius/fractals )
CHAPTER 8 MEASUREMENT RELATIONSHIPS

Section 8.1 Investigate B



An Interactive Proof of Pythagoras’ Theorem
In this Java applet, watch the Pythagorean theorem unfolding before your eyes as you read the description of what is happening.
( http://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.html )

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Video Tutorials

Video Tutorial: Using Virtual Algebra Tiles
with The Geometer's Sketchpad®

Principles of Mathematics 9, Use Technology, Page 140

The Geometer's Sketchpad includes a pre-made sketch Algebra Tiles.gsp that allows you to work with virtual algebra tiles on your computer screen. This video tutorial shows you how to

● open the virtual algebra tiles sketch
● draw virtual algebra tiles on your computer screen
● assemble tiles to represent algebraic expressions
● change the value of the variable that a tile represents

Virtual Algebra Tiles Tutorial (Windows Media)
Virtual Algebra Tiles Tutorial Macromedia Flash






Note: You will need the newest version of the Flash Player plug-in to view the animations.

Web Links



Videos

Video Tutorial: Computer Algebra Systems
using the CAS on the TI-89T®

Principles of Mathematics 9, Chapter 3 Algebra Systems, Page 170

CAS001 Turnon Clear (Windows Media)
CAS001 Turnon Clear Macromedia Flash
Calculation (Windows Media)
Calculation Macromedia Flash

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Video Tutorials

Video Tutorial: Modelling
Using The Geometer's Sketchpad®

Principles of Mathematics 9, Section 4.5 Example 3, Page 224

The Geometer's Sketchpad® can be used to model real-world situations. The dynamic nature of the software lets you adjust parameters in real time to achieve the desired results. This tutorial shows you

??? how to create the model of the garden
??? how to use the transform menu to lock the ratios of sides
??? how to measure lengths and areas

4s5 Example 3 (Windows Media)
4s5 Example 3 Macromedia Flash




Note: You will need the newest version of the Flash Player plug-in to view the animations.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Video Tutorials

Video Tutorial: Direct Variation
using Fathom™

Principles of Mathematics 9, Section 5.1 Example 2, Page 240

Fathom™ dynamic statistical software can be used to analyse data using a linear model. This tutorial shows you

??? how to create attributes and enter the data
??? how to generate a scatter plot of the data
??? how to add a line of best fit, or least squares line, to your graph

5s1 Example 2 (Windows Media)
5s1 Example 2 Macromedia Flash






Note: You will need the newest version of the Flash Player plug-in to view the animations.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Key Concepts





6.2 The Equation of a Line in Standard Form: Ax + By + C = 0
Converting an Equation of a Line from Standard Form to Slope y-Intercept Form (32.0K)


6.3 Graph a Line Using Intercepts
Graphing a Line Using Intercepts (27.0K)




6.5 Find an Equation for a Line Given the Slope and a Point
Finding an Equation for a Line Given the Slope and a Point (30.0K)


6.6 Find an Equation for a Line Given Two Points
Finding an Equation for a Line Given Two Points (28.0K)









Videos

Video Tutorial: Explore Parallel and Perpendicular Lines
using The Geometer's Sketchpad®

Principles of Mathematics 9, Chapter 6 Use Technology, Page 323

The Geometer's Sketchpad® can be used to graph equations, and then, dynamically explore the parameters that affect the graph. The dynamic nature of the software lets you adjust parameters in real time to achieve the desired results. This tutorial shows you

● how to graph an equation
● how to create a parameter
● how to use the parameter to investigate its effect on the graph

6 Use Technology (Windows Media)
6 Use Technology Macromedia Flash

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Key Concepts

Video Tutorials

Video Tutorial: Measuring the Exterior Angles of a Triangle
using CabriJr® on a Graphing Calculator

Principles of Mathematics 9, Section 7.1 Investigate, Page 366

CabriJr® can be used on a TI83+ or TI84+ graphing calculator to construct dynamic geometry sketches. This tutorial shows you

??? how to start CabriJr® and clear the screen
??? how to draw a triangle with exterior angles
??? how to measure the exterior angles
??? how to calculate the sum of the exterior angles

7s1 Investigate (Windows Media)
7s1 Investigate Macromedia Flash




Note: You will need the newest version of the Flash Player plug-in to view the animations.

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Key Concepts


8.1 Apply the Pythagorean Theorem
Apply the Pythagorean Theorem (30.0K)


8.2 Perimeter and Area of Composite Figures
Determining the Area and Perimeter of Composite Figures (47.0K)

8.3 Surface Area and Volume of Prisms and Pyramids
Surface Area and Volume of Prisms and Pyramids (45.0K)

8.4 Surface Area of a Cone
Surface Area of a Cone (32.0K)

8.5 Volume of a Cone
Volume of a Cone (34.0K)

8.6 Surface Area of a Sphere
Surface Area of a Sphere (38.0K)

8.7 Volume of a Sphere
Volume of a Sphere (41.0K)

Crossword Puzzle

Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get!

Key Concepts

9.1 Investigate Measurement Concepts
Investigate Measurement Concepts (32.0K)

9.2 Perimeter and Area Relationships of a Rectangle
Perimeter and Area Relationships of a Rectangle: Optimization (25.0K)

9.3 Minimize the Surface Area of a Square-Based Prism
Minimizing the Surface Area of a Square-Based Prism (38.0K)

9.4 Maximize the Volume of a Square-Based Prism
Maximizing the Volume of a Square-Based Prism (42.0K)