SMART Notebook Math Tools User's Guide
Contents
1. 6 6 _ _ 223 333 _ _ _ 2 2 22 2 _ _ _ C C Tips for Writing 4 Tips for Writing Trigonometric Equations 4 Tips for Writing Exponents Logarithms and Geometric Series 5 Tips for Solving Multiple Line Equations eese 5 Recognized Mathematical SyMboOlS ooooccccconncnncccoconcconononononanononnanennonannnnnos 5 Recognized Mathematical Functions eese 6 Solving Mathematical Expressions occcccccccononccnnccononnconnnonnnancnnnnnnonannnnnnnnnnnos 8 3 Advanced Shape Creation and 11 Inserting Regular PO lyDONS ccooccccconcnccnocnccononcnnncononnnnnonancnonannnononnnonanenenanenss 11 Inserting Irregular 11 Displaying Interior nenne neuen nennen 12 Displaying Side Lengths r 12 Displaying and Editing the Vertices of a 13 Dividing gt 21 13 Eco mcr 15 Inserting Cartesian GraphS occcccccccccnnnnncccnconcnnnnonnonnnnnnnnnnannnnnnonnnannnnnnnonanano2. To generate a graph from a table 21 CHAPTER 4 GRAPHS Generating Graphs from Equations If you insert or write an equation you can generate and display a graph based on the equation 1 Select the equation 2 Press the equation s menu arrow and then select Math Actions Generate Graph The graph appears If you update the information in the equation SMART Notebook Math Tools updates the graph 1 Select the equation or select the graph A blue highlight appears around both the equation and the graph An X in a blue circle appears between them 2 Press the X symbol XI If you update the information in the equation and the connection is broken SMART Notebook Math Tools doesn t update the graph Generating Graphs from Tables You can create a table of values and then generate a graph based on these values 1 Press Graph Tables gt A grid appears 2 Move the pointer over the grid to select the number of rows that you want in the table The cells of the grid correspond to the cells of your table The table appears on the page 3 Type values into the table s cells 4 Select the table 5 Press the table s menu arrow and then select Math Actions Generate Graph If you update the information in the table SMART Notebook Math updates the graph and vice versa To break the connection between a graph and a table To reconnect a graph and a table To generate a table from a graph
3. To break the connection between a table and a graph 22 CHAPTER 4 GRAPHS 1 Select the table or select the graph A blue highlight appears around both the table and the graph An X in a blue circle appears between them 2 Press the X symbol XI If you update the information in the table and the connection is broken SMART Notebook Math Tools doesn t update the graph and vice versa 1 Select the table A blue highlight appears around the table and a small blue s uare appears alongside it 2 Select the blue square and drag it over the graph Generating Tables From Graphs If you insert a Cartesian or quadrant graph and then insert points into it you can generate a table of values based on these points Select the graph Press the graph s menu arrow and then select Math Actions Generate Table If you add or remove the points in the graph SMART Notebook Math updates the table and vice versa Select the table or select the graph A blue highlight appears around both the table and the graph An X in a blue circle appears between them Press the X symbol e If you update the information in the graph and the connection is broken SMART Notebook Math Tools doesn t update the table and vice versa To reconnect a table and a graph To add a shape to a graph To display the coordinates of the shape s vertices To hide the coordinates 23 CHAPTER 4 GRAPHS Select the table A blue highligh
4. and then press Next The customization fields appear If you want to change the increments of the numbers along either of the graph s axes type a different Step value or increase it using the up and down arrows 4 Type numbers to define the Start and End points of the x horizontal axis and y vertical axis or change these numbers using the up and down arrows 5 To display a graph without horizontal lines clear the Horizontal Lines check box 6 To display a graph without vertical lines clear the Vertical Lines check box 7 Todisplay a graph without numbers on the axes clear the Show Numbers check box 8 Press Finish 1 Double press the position in the graph where you want to place a point 2 Repeat step 1 until you ve placed all the points you want to add to the graph To remove points from the graph To insert the default quadrant graph To insert a customized quadrant graph To insert points in the graph 16 CHAPTER 4 GRAPHS Double press the point you want to remove Repeat step 1 until you ve removed all the points you want to remove from the graph Inserting Quadrant Graphs You can insert a quadrant graph into a page You can include the default quadrant graph or create a graph with customized axes and insert this instead After you ve inserted the graph you can add points to it Press Graphs EA and then press Quadrant HE A quadrant graph appears Press Gr
5. its properties To display interior angles To stop displaying interior angles To display side lengths To stop displaying side lengths 12 CHAPTER ADVANCED SHAPE CREATION AND MANIPULATION Displaying Interior Angles You can display the interior angles of a shape EB NOTE If you display these angles and then edit the vertices of the shape SMART Notebook Math Tools updates the labels and displays the new interior angles 1 Select the shape 2 Press the shape s menu arrow and then select Show Hide Interior Angles 1 Select the shape 2 Press the shape s menu arrow and then select Show Hide Interior Angles again Displaying Side Lengths You can display the side lengths of a shape E NOTE If you display these lengths and then edit the vertices of the shape SMART Notebook Math Tools updates the labels and displays the new side lengths 1 Select the shape 2 Press the shape s menu arrow and then select Show Hide Side Lengths 1 Select the shape 2 Press the shape s menu arrow and then select Show Hide Side Lengths again To edit the vertices of a shape To divide a shape 13 CHAPTER ADVANCED SHAPE CREATION AND MANIPULATION Displaying and Editing the Vertices of a ohape You can edit the position of a shape s vertices If you re displaying the shape s interior angles or side lengths SMART Notebook Math Tools updates the labels and displays the new interio
6. s bottom right corner Seven icons appear below the graph Press Show Hide Lines L to display horizontal and vertical lines on the nm m graph Press Ww again to remove them To customize a graph using the Properties tab 20 CHAPTER 4 GRAPHS niil F A d Press Show Hide Point Labels w to display point labels Press w again to 4 remove them 5 Press Show Hide Line of Best Fit to display a line of best fit based on the points you add to the graph Press again to remove it 6 Press Show Hide Numbers is to display labels on the axes Press 25 again to remove them 1 Select the graph A selection rectangle appears around the graph 2 Press the graph s menu arrow and then select Properties If you want to include a label above the graph type a Title 4 Todisplay numbers on the axes select Show Numbers or clear this check box to remove them 5 To display vertical lines select Vertical Lines or clear this check box to remove them 6 Todisplay horizontal lines select Horizontal Lines or clear this check box to remove them 7 To display point labels select Show Point Labels or clear this check box to remove them 8 To change the labels on the axes the range of the axes or the increments of the numerical labels on the axes type new values for the Label Start End and Step To generate a graph from an equation To break the connection between an equation and a graph
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8. Press Graphs gt and then press Wizard The nsert Graph dialog box appears oelect Number Line and then press Next The customization fields appear If you want to change the increments of the numbers along the axis type a P different Step value or increase it using the up and down arrows Type numbers to define the Start and End points of the axis or change these r numbers using the up and down arrows To display a graph without numbers on the axes clear the Show Numbers check box Press Finish 18 CHAPTER 4 GRAPHS selecting Graphs Before you can manipulate a graph or access its menu options you must select it After you select the graph you can e Move the graph Customize the graph e Generate a table from the graph To select the graph 1 Press Select X 2 Press outside but near to the top right corner of the graph and then drag a rectangle to the opposite corner A selection rectangle appears around the graph The white circle in the graph s lower right corner is a resize handle The downward arrow in the graph s top right corner is a menu arrow Manipulating Graphs You can insert a Cartesian graph quadrant graph or number line graph into a page or generate a graph from an equation or a table of values After you insert the graph you can move or magnify this graph To move the graph 1 Select the graph A selection rectangle appears around the graph 2 Pre
9. SMART Notebook Math Tools User s Guide Extraordinary made simple SMART The content of this guide is provided for informational purposes only and is subject to change without notice Trademark Notice SMART Board SMART Notebook the SMART logo and smarttech are trademarks or registered trademarks of SMART Technologies ULC in the U S and or other countries Texas Instruments TI Nspire and Tl SmartView are trademarks of Texas Instruments All other third party product and company names may be trademarks of their respective owners Copyright Notice 2009 SMART Technologies ULC All rights reserved No part of this publication may be reproduced transmitted transcribed stored in a retrieval system or translated into any language in any form by any means without the prior written consent of SMART Technologies ULC Information in this manual is subject to change without notice and does not represent a commitment on the part of SMART Patent No US6320597 US6326954 US6741267 US7151533 US7499033 and CA2252302 Other patents pending 11 2009 Contents 1 Introduction to SMART Notebook Math 1 _ 1 Hiding the Math Toolbar gt aaa aaaa aa aaa aaaaa a aaa aaa aaa saaa aaa aaa 2 RU 3 6 6 6
10. Write each symbol clearly and don t overlap symbols Leave space between the characters symbols formulas and equations that you write Draw a multiplication symbol as a six pointed asterisk for example X X If your equation involves multiple lines such as fractions leave space between these lines However don t separate a single line equation over multiple lines Align superscripts such as exponents to the right of and above the adjacent character or symbol Don t allow a character and a superscript to overlap Write problems sequentially from left to right and from top to bottom Tap to make a decimal point Don t draw a tiny ball or scribble a mark Don t use as a variable unless you re writing a trigonometric expression or a complex expression Don t use or o as variables unless you re writing a trigonometric expression Don t use e as a variable unless you re writing an exponential expression Tips for Writing Trigonometric Equations Consider the following when you write trigonometric equations Enclose variables in parentheses for example sin x oeparate multiple trigonometric expressions using a multiplication sign for example sin A cos A 5 CHAPTER 2 EQUATIONS Tips for Writing Exponents Logarithms and Geometric Series Consider the following when you write exponents logarithms and geometric series SMART Notebook Math Tools recognizes log N as log10N SMART Notebook Math Tools recognizes lo
11. aphs EA and then press Wizard The Insert Graph dialog box appears 2 Select Quadrant and then press Next The customization fields appear 3 If you want to change the increments of the numbers along either of the graph s axes type a different Step value or increase it using the up and down arrows 4 Type numbers to define the Start and End points of the x horizontal axis and y vertical axis or change these numbers using the up and down arrows gt 5 To display a graph without horizontal lines clear the Horizontal Lines check box 6 To display a graph without vertical lines clear the Vertical Lines check box 7 To display a graph without numbers on the axes clear the Show Numbers check box 8 Press Finish 1 Double press the position in the graph where you want to place a point 2 Repeat step 1 until you ve placed all the points you want to add to the graph To remove points from the graph To insert the default number line graph To insert a customized number line graph 17 CHAPTER 4 GRAPHS 1 Double press the point you want to remove 2 Repeat step 1 until you ve removed all the points you want to remove from the graph Inserting Number Line Graphs You can insert a number line graph into a page You can include the default number line or create a customized axis and insert this instead Press Graphs Ba and then press Number Line A number line graph appears
12. gM as logm or logM natural log e SMART Notebook Math Tools supports log2M and log10M only e Write the natural logarithm In as log SMART Notebook Math Tools doesn t support subscripts Enclose exponents in parentheses Tips for Solving Multiple Line Equations SMART Notebook Math Tools can solve some multiple lined equations if you select all the equations press the equation s menu arrow and then select Recognize Math Ink Recognized Mathematical Symbols You can write equations on the page SMART Notebook Math Tools recognizes the mathematical symbols and functions within your equation and converts them into typed text SMART Notebook Math recognizes many symbols including numbers operators Roman letters Greek letters and other mathematical symbols Numbers 5 b 1 D 4 4 8 Operators ta ES 2 IT Rum Roman Letters abedetghiykimnoparstuvwxye AB PEF GH LMN OK T E G N 6 CHAPTER 2 EQUATIONS Greek Letters BY dtuoAngponvc Other Mathematical Symbols 2 oD Lt f eo Recognized Mathematical Functions You can write equations on the page SMART Notebook Math Tools recognizes the mathematical symbols and functions in your equation and converts them into typed text SMART Notebook Math Tools recognizes many mathematical functions including functions in the following categories Basic mathematical functions rigonometric functions e Statistical function
13. ion s menu arrow and then select Math Actions Solve Symbolically Select the equation Press the equation s menu arrow and then select Math Actions gt Find Zeroes Select the equation Press the equation s menu arrow and then select Math Actions gt Find Extrema 10 CHAPTER 2 EQUATIONS To insert regular polygons To insert irregular polygons Chapter 3 Advanced Shape Creation and Manipulation Inserting Regular Polygons You can insert regular polygons with between 3 and 15 sides using the Regular Polygon tool 1 Press Regular Polygons e and then select the number of sides the number in the polygon represents the number of sides 2 Create a shape by pressing where you want to place the shape and dragging until the shape is the size you want 3 customize it select the shape and then edit its properties Inserting Irregular Polygons In addition to creating shapes using SMART Notebook s Shapes tool you can insert irregular polygons using the Irregular Polygon tool 1 Press Irregular Polygons A 2 Press where you want to place the shape s first vertex The first vertex appears as a small red circle 3 Press where you want to place the next vertex A line appears between the two vertices 4 Repeat step 3 to add more vertices 5 To stop adding vertices and complete the shape press the first vertex s red circle 6 To customize the shape select the shape and then edit
14. lar Polygons Insert irregular polygons Regular Polygons Insert regular polygons Graph Tables Insert graph tables EZ Graphs Insert Cartesian quadrant or number line graphs Ji Launch Emulator Launch the Texas Instruments TI emulator To hide the Math toolbar To restore the Math toolbar 2 CHAPTER 1 INTRODUCTION TO SMART NOTEBOOK MATH TOOLS The Math Toolbar also includes a Measurement Tools button j This feature works the same way as the Measurement Tools button in SMART Notebook Hiding the Math Toolbar If you want access to SMART Notebook Math Tools features but you don t want a second toolbar in the SMART Notebook interface you can add any of the buttons from the Math toolbar to the SMART Notebook toolbar and then hide the Math toolbar 1 Customize the SMART Notebook toolbar to include the math tools you want to use 2 Right click the SMART Notebook toolbar The Customize Toolbar dialog box appears 3 Clear the Show Secondary Toolbar check box 4 Press Done 1 Right click the SMART Notebook toolbar The Customize Toolbar dialog box appears 2 Select Show Secondary Toolbar 3 Press Done To insert equations To write equations Chapter 2 Equations Inserting Equations You can insert equations into a page using the Equation Editor 1 Press Equations M 2 Press where you want to place the equation The Equation Editor and a text box appear 3 Type the numerals yo
15. ns 15 2 16 Inserting Number Line GrraphsS coooonccnccccccoccnnnccnnonncnnnononancnnnonononnnnnononananons 17 ii CONTENTS Selecta GN 18 Manipulating CC 18 Customizing Graphs mm 19 Generating Graphs from 21 Generating Graphs from Tables cooonnnncoconcnccccoccnnccnancnnonancnnonnonennnonanannnss 21 Generating Tables From Gratis acted ki cia 22 Adding Shabpes ToO Grains cielo 23 5 Texas Instruments Emulators 25 Chapter 1 Introduction to SMART Notebook M Math Tools If you install SMART Notebook Math Tools on your computer SMART Notebook collaborative learning software includes mathematical features such as equation editing handwriting recognition for mathematical terms additional shape tools graph generation and a launcher for Texas Instruments emulators Math Toolbar The Math toolbar enables you to select and use a variety of math specific commands and tools in the SMART Notebook window The following table describes the functions of each toolbar button in the Math toolbar Button Command Action y Equations Insert equations PAR Irregu
16. r angles or side lengths automatically 1 Press one of the shape s vertices A red circle replaces each of the shape s vertices 2 Press and drag a red circle to move that vertex 3 When you finish editing the shape s vertices press anywhere else on the page Dividing Shapes You can divide a circle square or rectangle into separate pieces of equal area You can then edit and manipulate these pieces as individual objects m NOTE You re unable to divide other shape types in this way 1 Select the circle square or rectangle you want to divide 2 Press the shape s menu arrow and then select Shape Division The Shape Division dialog box appears 3 Select the number of pieces you want to divide the shape into from the Divide shape into drop down list 4 Press OK The shape divides into separate objects 14 CHAPTER 3 ADVANCED SHAPE CREATION AND MANIPULATION To insert the default Cartesian graph To insert a customized Cartesian graph To insert points in the graph Chapter 4 Graphs Inserting Cartesian Graphs You can insert a Cartesian graph into a page You can include the default Cartesian graph or create a graph with customized axes and insert this instead After you insert the graph you can add points to it Press Graphs and then press Cartesian A Cartesian Graph appears 1 Press Graphs 52 and then press Wizard The nsert Graph dialog box appears 2 Select Cartesian
17. s e Advanced mathematical functions NOTE SMART Notebook Math Tools doesn t support matrix variables or vector variable inputs Basic Mathematical Functions 7 CHAPTER 2 EQUATIONS Trigonometric Functions To solve an expression numerically 8 CHAPTER 2 EQUATIONS Statistical Functions a covariance matrix rand a or rand a b uniformly distributed pseudorandom numbers randn a or randn a b normally distributed pseudorandom numbers std a standard deviation Advanced Mathematical Functions beta a b beta function erfcinv a inverse complementary error function erfcx a scaled complementary error function erfinv a inverse error function oolving Mathematical Expressions If you insert or write a mathematical expression into a page you can solve this expression and display the complete equation using the available menu options SMART Notebook Math Tools can solve some equations numerically but not symbolically and it can solve some equations symbolically but not numerically If a solution type isn t available you re unable to select it in the menu 1 Select the equation 2 Press the equation s menu arrow and then select Math Actions Solve Numerically To solve an expression symbolically To find an equation s zero value To find an equation s minimum and maximum values CHAPTER 2 EQUATIONS Select the equation Press the equat
18. ss somewhere inside the border but outside of the graph and then drag to a different position on the page To change the graph s 1 Select the graph magnification 9 A selection rectangle appears around the graph 2 If no icons appear below the graph press the two downward arrows Y in the graph s bottom right corner oeven icons appear below the graph To display a different part of the graph To customize a graph using the hidden menu 19 CHAPTER 4 GRAPHS 3 Press o to zoom in OR Press to zoom out 1 Select the graph A selection rectangle appears around the graph 2 If no icons appear below the graph press the two downward arrows Y in the graph s bottom right corner Seven icons appear below the graph 3 Press the hand icon 4 Press and drag the graph 5 When SMART Notebook Math Tools displays the part of the graph you want to view press the hand icon e again Customizing Graphs You can insert a Cartesian graph quadrant graph or number line graph into a page or generate a graph from an equation or a table of values After you insert the graph you can customize the title of the graph and edit the start point end point labels and grid lines of its axes You can also add a line of best fit based on the points in the graph 1 Select the graph A selection rectangle appears around the graph If no icons appear below the graph press the two downward arrows in the graph
19. t appears around the table and a small blue square appears alongside it Select the blue square and drag it over the graph Adding Shapes To Graphs You can add a shape to a graph and then display the coordinates of its vertices Create a shape draw a shape insert a regular polygon or insert an irregular polygon 2 Press the shape and drag it over the graph 1 Select the shape 2 Press the shape s menu arrow and then select Show Hide Vertices 1 Select the shape 2 Press the shape s menu arrow and then select Show Hide Vertices again 24 CHAPTER 4 GRAPHS To launch the Texas Instruments emulator Chapter 5 Texas Instruments Emulators If you install TI Nspire Tl SmartView 84 or Tl SmartView 73 software on your computer you can launch it from the Math toolbar NOTE A Texas Instruments emulator isn t included with SMART Notebook Math Tools software and this feature works only if TI software is already installed on your computer You can download software from the Internet that describes itself as a II emulator or includes features similar to a Tl emulator However pressing the Launch Emulator button launches only fully licensed versions of TI emulators 1 Press Launch Emulator If TI Nspire Tl SmartView 84 or Tl SmartView 73 software is installed on your computer an icon appears with the name of your software 2 Press this icon 26 CHAPTER 5 TEXAS INSTRUM
20. u want to add to your equation Press the buttons in the Equation Editor for the mathematical terms you want to add to your equation 4 After you finish creating your equation press outside of the text object Writing Equations You can write equations on the page using pen tray pens on interactive whiteboards or a tethered pen and pen tool buttons on interactive pen displays 3 1 Press Pen and then select an available line type IMPORTANT Don t select a creative pen 2 Write the equation on the interactive screen using the tips below 3 Select the equation 4 Press the equation s menu arrow and then select Recognize Math Ink The equation appears surrounded by a blue border A green circle red circle e3 appear below the equation 4 5 Ifthe equation appears correctly press the green circle eo CHAPTER 2 EQUATIONS SMART Notebook Math Tools recognizes many characters including numbers operators Roman letters Greek letters and other mathematical symbols SMART Notebook Math Tools also recognizes many mathematical functions fae NOTE If you write a mathematical expression you can solve the expression You can also generate a graph based on this equation If your equation appears incorrectly press the red circle o erase the equation and write it again Don t attempt to write over your original equation Tips for Writing Equations Consider the following when you write equations
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