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1. gt You can save the matrix spacing to a preference file This is a good idea because you won t want to use this tight matrix column spacing in a regular matrix and this will give you an easy way to change back to your systems of equations settings A MathType preference file holds information on fonts sizes and spacing To save the preference file go to the Preferences menu scroll down to Equation Preferences then choose Save to File You can name the file anything you want but here are some suggestions Systems if you always use the same font and size for your tests amp quizzes Systems TNR Systems A etc for tests written in Times New Roman Arial etc font Systems A 10 Systems A 12 etc for tests written in Arial IOpt Arial 12pt etc You get the picture page 13 gt You can save a blank template for a 2 equation system one for a 3 equation system etc to your MathType toolbar The easiest way to do this is to delete everything out of the cells of the matrix in the system you just created then highlight everything and drag it up to the toolbar 9b Multiple choice responses MathType Untitled 3 File Edit view Format Style Size Preferences Help Fractior mmm Size Full Zoom 200 Colo EB a There are many ways to type multiple choice responses for a test or quiz You may create each choice as a separate equation remember we use the word equation to denote anything created with Equati2. Journal publication you will appreciate the fact that MathType can number and reference your equations automatically when used with Microsoft Word Precise formatting ruler You get a sophisticated word processor like ruler for precise formatting Align columns at operators decimal points or set tab stops to t3 ro pras peo O2 L 2 4 make formatting easier and to give your documents a more professional look This 3 3 example cannot be duplicated exactly in Equation Editor for two reasons cross out 4 templates and ruler formatting fractions aligned at right edge with a right 23 justified tab New spacing adjustments possible e Radical check mark width adjustment J2 42 J2 e Subscript and superscript horizontal gap vua we e Slash and diagonal fraction gap 5 4 V e Horizontal gap between fence templates parentheses brackets braces etc and their contents X 4 x 4 x 4 e Stroke thickness for box lines strike throughs radical signs etc 41 82 1 852 1 v2 AE i A A A A page 25
3. You may want to deselect the Use for new equations checkbox 2 Example 10 pt x 18 pt X 10 pt plus 8 larger applications x Notice that the 18 pt expression is proportionally correct but the 10 pt equation that was converted to 18 pt by repetitively clicking larger on the size menu has an exponent that is too large That s because both the base and the exponent are increased by 1 pt each time you click on larger page 8 5 MathType Preference Files You naturally want your equations to match the text of your document but you probably don t always use the same font or same size font MathType gives you a convenient way to change between fonts amp sizes by letting you save these settings into a preference file Let s say you want to create your 7 Grade Math tests in 12 pt Times New Roman font but you want to use 10 pt Arial for your 8 Grade Pre AP Algebra tests The first thing to do is to save 12 pt Times New Roman as a Preference File Those are the default settings when you install Preferences Help Translators web and GIF Preferences MathType so chances are that s what s set now To save it click on Functions Recognized Preferences in the MathType menu bar Now point to Equation laine pin Preferences and another menu expands In this menu click on Save to Objed Editing Preferences File In the next dialog you ll get a chance to name the preference AM Equation Prefer
4. isn t normally changed You ll see you have only two options there anyway Symbol and MT Extra and Euclid Symbol and Euclid Extra You likely won t see much difference between these two choices so leave it set as you see above Notice the checkbox is already checked next to Italic variables and Italic lower case Greek That s because in standard mathematics typesetting that s how these items are printed It s up to you though so if you want to uncheck one of these boxes go for it At the lower right of this dialog is a final checkbox labeled Use for new equations This is checked by default and if you leave it checked all subsequent equations you create will use page 6 these same font settings until you change them again If you re just wanting the next equation to have a certain special look but want the rest of the equations to look like the equations before the one you re working on uncheck this box After everything s set the way you want it click OK and the dialog closes Now click on Style Define again and this Define Styles ae select Advanced You ll see the dialog m E that s pictured to the right This 1s where you ok would make special settings like if you Font Character Style Cancel wanted all the numbers in Arial and the rest Se be Hep of the equation in Times New Roman for 1 Times New Roman B MEM some reason Notice also the boxes labeled fencha dimes ees Omen BEN
5. Vector and Number may be set to whatever font you want Normally these 5 styles are the same as each other and the same as what you re using in Word CAUTION These 3 styles must always be set to Symbol font L C Greek U C Greek and Symbol Failure to do this will cause unpredictable results Font Character Format Bold Italic Times Mew Roman n b Cancel Ad Setting Font Sizes in Equation Editor Times New omen I Don t 1 Open Equation Editor change Symbol n these 2 Inthe Size menu click Define Symbol E styles Symbol EE wt i Matie Vector Times Mew Roman Y Humber Times Mew Roman 3 Setthe Full size to the same size as your text in Word Use pt to denote points Suggestion Set the Full size in points and the other sizes in percent That way when you change the full size setting you don t need to change the others They will retain the proper proportion Use these percentage values as a guide revise as desired Full Subecript Superscript Cancel Sub Subscript Superscript Symbol Apply S ub symbol Defaults page 3 3 The MathType Toolbar in Word m m Hoe The MathType toolbar contains 9 icons The descriptions below should help you decide when to use each of the icons Notice there are four Greek letter Sigmas on the toolbar Each of the Sigmas will open MathType and allow you to insert an equation into your document The d
6. above When you remove an equation though the numbers aren t updated They may update when you save or print the document depending on how you have your Word options set up Selecting this icon will update the equation numbers immediately The last icon on the MathType toolbar doesn t have anything to do with inserting equations or equation numbers this icon affects the entire document er Export to MathPage This will transform the entire Word document into a nice looking web page For more information on exactly what happens when you click this 1con refer to Tutorial 14 in Chapter 4 of the MathType manual as well as Chapter 6 page 5 4 Setting MathType Fonts amp Sizes the Style and Size menus You most likely want your equations to match the text in your document PowerPoint presentation or web page so you need to know how to change the fonts amp font sizes in MathType The Style Menu setting the fonts Style Size Preferences Help You ll see several style names listed on the Math Type Style menu v Math Cre but the one you ll use most often is called Math Actually Math qu pude isn t a style of its own it s a combination of other styles Math Type is Variable CtrH shift ey smart enough for example to know that when you re typing Greek Symbol Ctrl ShiFk veckor Matrix Ctrl ShiFk 6 User 1 Ctrl Shift U letter to be italicized but not the function name or the number Thus ne MathType switches
7. d amp e You must do it this way you can t copy the grid and paste it into the box Format Object Colors and Lines i Size Layout Pic Size and rotate Height Rotation X Scale Height 100 amp Width 100 Doe aspect ratio I Replace text as you type Replace with Plain text f Formatted text s ea E gruap group gruaps groups gra grow guidlines guidelines ke Qukamatically use suangestiaons From the snellina e In the Replace box type in whatever code you want to enter in Word to be replaced with the grid More on this later but I chose a shortcut I could remember gr for grid 6 meaning 6 by 6 and a meaning it has axes Click Add then click OK Now that you re back in your document delete the grid and try your AutoCorrect entry Type gr6a or whatever code you entered followed by the spacebar Your code should be replaced with a grid page 18 Now a couple of notes about what we just did 1 I had you hit the spacebar after the code but there s nothing magical about the spacebar The important thing is that you tell Word that you re through typing that word and in this case our word was gr6a Think about what normally terminates a word a space character any punctuation character a Tab or a new line In fact any of these things will replace your code with your grid or whatever you entered into the AutoCorrect
8. elements to add change partition lines page 10 7 Changing Word defaults for menus amp drawings Windows A couple of aggravating features of Word 2002 Office XP are related to the Word menus and creating drawings with the drawing toolbar 1 The default is for Word s menus to show only basic commands Tools Table Symbols MathType after you first install Office As you work the menus adjust to SHE tenuate ape show only the items you ve used most recently If you wait a couple of seconds the full menu appears If you don t want to wait you can click the double chevron at the bottom of the menu 2 To change this behavior to always show the full menus click on Tools Customize On the Options tab check the box next to Customize 66 Always show full menus GO Ee RE Rta EES CE 3 The default for using the AutoShapes on the Drawing toolbar is for Word to create a Drawing Canvas into which you ll insert your drawings If you don t want the Drawing Canvas you can change the default 4 Click on Tolls Options and click on the General tab Near the bottom of the tab uncheck the box labeled Automatically create drawing canvas when inserting AutoShapes Create vour T re TEE Na EDD i ppp 8 Nudging and the MathType Customizable Toolbars Nudging is a technique that can be accomplished in both Equation Editor and MathType and is very useful in achieving perfect positioning
9. matrix click on Format gt Matrix If using MathType click on Format gt Matrix gt Change Matrix 2 Click once between rows 3 amp 4 for a solid line twice for a dashed line or E E BE three times for a dotted line Hint use decimal alignment in the matrix ERI anne 1 3 0 i4 ar TO page 23 If you have MathType see if you can duplicate the equations below If you don t have MathType this would be a good opportunity to download the evaluation version from the Design Science web site Other uses of MathType that go beyond the basics 1 Systems of equations 3x 4y z 17 x 3 x 3 5x 3y 6 2x 3y 2z 15 2x y 3 2x y 3 2x 7y 2 x y 4 3x 2y z 3 3x 2y z 3 2 Dimensional analysis _ 30 wh 5280 ft IX 1 p 30 Th 53280ft 1 K 1x 60min 60sec or K 1m 60 BM 60sec x 44 ft sec 44 ft sec 3 Step by step examples with comments This is a good use _ rt eee ee B of User 1 and Topo T T e T 160 T 68 T 212 and r 0 21 leer Qables and 160 68 212 68 g sizes MathType 92 44e 9 only This lets 92 you use your ae Isolate the exponential expression normal font amp 212 size for the In92 In144 0 2 1t Take the natural logarithm of both sides problem amp In 92 In 144 solution and a Calculation ready form separate font amp 0 21 size for the t 2 13345106 notes 4 Equations for Web pages 5 Animated graphics for P
10. what These are percentages of the Full size The beauty of leaving these set as percentages is that once you set them you never have to change them If you change the Full size from 10 pt like you may use in a quiz to 32 pt like you may use in PowerPoint or on an overhead transparency you don t have to change the other sizes because they re still proportionally correct If you want to set these other sizes as point sizes you have that option but chances are you won t want to Notice there s a User 1 and User 2 size Use these similarly to the way you d use a User 1 or User 2 style So what s a Smaller Larger Increment Notice back up on the MathType Size menu pictured at the bottom of the previous page two items near the bottom are labeled Smaller and Larger If you want to make an item or items in your equation smaller or larger than the surrounding items in the equation you can select them and repeatedly select Smaller or Larger from the Size menu until you get the size you want How much smaller or larger MathType makes them is determined by the Smaller Larger Increment on the Define Sizes dialog BEWARE It s generally not a good idea to highlight an entire equation and select Smaller or Larger because the results will almost certainly not be what you wanted see below If you want to increase or decrease the size of an entire equation the best way to do it is by changing the Full size specification
11. without having to take your fingers off the keyboard The keyboard shortcuts built in to MathType are listed in the Help file You ll find though that most of the shortcuts are so intuitive that you can learn them quickly and be able to use the software even more efficiently to create professional looking documents Many of the shortcuts used in Math Type are standard shortcuts such as CTRL S for save CTRL C for copy CTRL V for paste etc On the Mac substitute the COMMAND key for the CTRL key Listed here are some of the most commonly used keyboard shortcuts XU TINO AG ds sens asnacaucen gusenoasasaeennaauecuteasansonet CTRL E Math mode cceeccccccessecceeceeseeceeeaeeeeeeees CTRL Greek TONCES rr CTRL G followed by corresponding letter of the alphabet a for a etc Expanding parentheses seeeeessseee CTRL 9 Full sized fraction template CTRL F Radical square rOOt cccssssseseeeseeeeeeeeeees CTRL R Superscript exponent eeeeeseseeses CTRL H h for high SUDSCEIDE sauras aE T CTRL L L for low Thit Space cis acsetsscesudsseannadetnaanonneserngsansteaetesdias CTRL SPACE For more keyboard shortcuts you can refer to e Customize Keyboard in the MathType Preferences menu e The MathType Help file under MathType Reference Keyboard Shortcuts e The Equation Editor Help file Reference Inf
12. 22I2IIIIIJ42Il2l2l2l2l2 2l Ubl2l2l2l2l2l2 2 2 t 2 4 4 a Forthe purpose of this mini tutorial we ll use the grid created earlier Insert the 6 I 1 1 I 1 1 by 6 grid into your document on or ee Dn aa a aa a t 4 H 4 4 4 eee ee ee ee ee ee ee ee eee ee eee nnam b If it doesn t appear to be perfectly square 5 Copy you can make it square by clicking on it MEME with your right mouse button then selecting Format Object from the menu If Format Object doesn t appear on the aaa tia Hide Picture Toolbar right click menu select Object from Borders seid hadida Word s Format menu Paste Equation Object Caption 9 Format Objec Hyperlink page 17 Adjust the height and width to the same number whatever you want them to be Make sure the Lock aspect ratio box is unchecked Regardless of whether you re sized your grid or not make sure it s still selected as the one is to the right If it s not selected click once on it with your left mouse button With the grid selected choose AutoCorrect Options from Word s Tools menu If you re using a version of Word earlier than Word 2002 the one that comes with Office XP it will just say AutoCorrect Note the grid is already in the box underneath the word With If it s not there then you didn t have it selected in step d above Go back and repeat steps
13. ADVANCED TECHNIQUES FOR USING EQUATION EDITOR AND MATHTYPE Presented by Bob Mathews Director of Training Design Science Inc E mail bobm dessci com Phone 830 990 9699 y TZ Design Science How Science Communicates Welcome to Advanced Techniques for Using Equation Editor and MathType This session is designed to help you get the most out of Equation Editor and MathType the professional version of the Equation Editor included in Microsoft Office Rather than a complete tutorial or full training session we will use the allotted time to demonstrate how to create mathematical expressions with these products and how to best insert them into Microsoft Word documents PowerPoint presentations and Web pages I hope many of your needs will be addressed in this session but if you need help in the future the following sources are available v Equation Editor Tips amp Tricks The MathType web site www dessci com includes Equation Editor Tips amp Tricks to help get the most out of the junior version of MathType Although these were created with Equation Editor users in mind there are tips appropriate for the Math Type user as well Your email address will be your password to access the page immediately Visit as often as you like as we add more from time to time v Help File Both products have extensive help files v User Manual MathType comes with a comprehensive User Manual and many questions can be answered by ref
14. ME Apply Bold and Italic Check or uncheck as desired Vaneps Times New Roman zs 2 Lo zs By the way L C Greek is lower case Symbol HN ME Greek Guess what U C Greek is Symbol N E Se Symbol E E User 1 and User 2 styles are not normally nee Hew Ramer 2 d m used but when you need them they re quite Hines SMS ITO E m handy One example where you may want to MT Extra HM MEN use a User style is if you re discussing the 1 Courier New HM E 4 x Times New Roman effect of a variable s coefficient on a graph or you want the student to do so so you choose to have the variables in Times New Roman italic but the coefficient in Times New Roman bold italic For example I could say Describe the effect on the graph of the function when the value of a increases y 2 ax bx c In this example I used User 2 style for the coefficient a The Size Menu setting the sizes Size Preferences Help Just like MathType automatically changes the style depending on the v Ful types of items contained in your equation it also changes sizes For e most of your equations you ll just leave the size specification set to b pt Symbol Full When you type an exponent MathType knows you want it to be SHEeS o smaller than the base so it switches to Subscript size Likewise 1f n you re teaching sequences and series and want to enter a summation Other template MathType knows to create the Sigma
15. bably want a larger one than 6x6 but we ll use this size as an example The 3 Lop maximum size is 30x30 so if your axes will be in the center that s Bagelin 15 on both axes Notice the comment at the bottom of the dialog f Bottom Click between elements to add change partition lines E Rowe d There are 4 types of lines no line the default solid line dashed T Equal re line and dotted line You select the type of line by continuing to click in the same location twice for dashed etc If you put solid E Lc PET axes 1n the center of the grid add change partition lines Matrix r PF and dotted lines everywhere jelse the screenshot to the left is what the dialog would look like when you re through Below is what the grid looks like in your finished test quiz or whatever these E Columns Equal column widths are dotted lines except the axes ENS IU OK ill PBE Row align een E SE E us Cancel TE m EN Baseline MEN HHE en EEEHENB IB Rows Column align C Left Cener Right C Atz C At In MathType the column and row specifications are in a different place and there is a Clear all lines button which is handy You can also save the erid on the MathType toolbar which you can t do in Equation Editor 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Equal row heights Click between
16. between Function Variable Greek Symbol and Number styles as appropriate Number isn t a style you see on the menu but it is a separate style of its own as we ll see in a minute To set all this up select Define at the bottom of the menu sin 5 x you probably want the variable and the lower case Greek Define When you select Define you ll see Define Styles another dialog box A dialog box or i i i C Advanced simply dialog is a window like the one pened shown to the right where you can select Cancel Primary font Times Mew Roman options and settings Help Greek and math fonts 5 ymbol and MT Extra Y In the Define Styles dialog you ll see a Italic variables Am e couple of radio buttons labeled Simple and Advanced We ll go over each of these Simple is the one you ll use A W Italic lower case Greek Factory settings equations most often In the selection labeled Primary font the font you choose will be the font MathType will use for text function names variables vector and matrix names and numbers Normally you ll want all of these to be the same font but we ll see in a minute how to make them different You ll probably want the Primary font to be the same font you re using in your document MathType doesn t know what font you re using in your document so it s important to set it here The selection labeled Greek and math fonts
17. box 2 The code I chose gr6a may seem a little cryptic to you and you may not think you can remember that one That s fine choose whatever code you ll remember but be careful You don t want to choose a word that will likely come up in any document The words grid or graph for example appear often so you don t want to choose these I can guarantee the code I chose will never come up in any document ever unless I want a 6 by 6 grid 3 What other uses for AutoCorrect can you think of I can think of several sq2 for J2 2p 3 for 22 1 8 for T etc limxO for lim x 0 u238 for 55 U xbar for x and so on b X Nb 4ac qu or qform for E 2a Co qM cuo pa co E 1 imat3 or simply 13 for 0 0 gr th for 0 etc 4 You can use AutoCorrect for even more complex objects than the ones we ve used but that s really a subject to deal with elsewhere like in the tutorial I mentioned that s available on our web site page 19 11 Template Replacement Sometimes you may finish typing an expression then decide it would look better with a different template Here are a couple of examples 1 You re working with quadratic equations and type this equation 3 2 y xX t X ct 2 2 3 You realize the equation would look better with smaller fractions Rather than re type it all you should use template replacement Here are the steps for template replacement NM 3 2 a Select the fir
18. e Format menu labeled Define Spacing In this menu you discover how to change your superscripts and fractions to look more like the examples below 2 You change x x and BE Any adjustments you make in the Define Spacing dialog are also saved to the preference file page 9 6 Creating a blank grid for student graphing One of the most common questions we get is Does MathType make graphs I always give a qualified answer to that question No MathType won t graph a function but you can make a blank grid for students to do the graphing Note There is a more detailed procedure for graphs and number lines on our web site You can access this tutorial at Www dessci com en support mathtype tutorials mt charts tutorial htm This will be done using Equation Editor If you are using MathType the steps are similar O00 annn a In a Microsoft Word the procedure may be adapted for other software open Equation o 4 Editor From the Insert menu and select Object From the list choose Microsoft Equation and click OK EE MEE TDI b On the Matrix templates palette select Variable size matrix or table s Dl i A You can look at the Status Bar the very bottom of the Word or MathType window to see what it is you re pointing to O ZI 2 B Enlumns Equal column widths Variable size matrix ar table B Row align c In the Matrix dialog specify the size you want You pro
19. ences Load From Factory Settings file Since it s only a file like any other Load from Preferences for New Equations file you Can name it like any other file ERUIT Notice how the others are named though Save En Preferences For Mew Equations They are named with the name and size of the font That s a good idea because it helps you know what to expect when you select that particular preference file After you type in a file name click Save Now that we have a preference file saved for 12 pt Times New Roman change your style to Arial Remember you do this in the Style menu by selecting the Define option at the bottom of the menu Also recall that it s easier if you select the Simple option Now change the Full size setting to 10 This 1s in the Size menu under Define Don t change any of the other sizes Now save the preference file and name it Arial 10 or another name of your choosing You don t need to type in eqp after the file name MathType will add that for you after you click Save So what s saved in a preference file We ve already seen two of the three categories of data that are saved in a preference file but there is one more spacing Let s say you re looking at your superscripted numbers and variables and you think the exponent needs to be a little closer to the base and the numerator in your fractions is a little too close to the fraction bar By exploring the menus you stumble across something in th
20. er to create multiple choice responses and easier to keep the spacing uniform from one question to the other If you re using MathType click on the View menu and make sure there s a checkmark by Ruler Notice above the ruler there are 5 arrows These arrows represent 5 types of tabs that are available in Math Type From left to right these are 1 Left justified tab This 1s the one selected in the screenshot below and is the default When you use a left justified tab the left edge of the text will be aligned at the tab 2 Center justified tab The center of the text 1s aligned at the tab stop 3 Right justified tab The right edge of the text 1s aligned at the tab stop 4 Relational tab Use this tab only with more than one line of characters within your equation This will align equations or inequalities at any relational operator such as z gt and of course Basically it will align on the equal greater than or less than signs from the keyboard plus anything on the Relational symbols palette page 15 5 Decimal tab Use this one also for more than one line of characters This is for aligning a column of numbers regardless of whether or not a decimal point is present gt gt j c 1 1 9 l To set a tab stop simply click on the ruler below the number or tick mark where you want the tab to be Caution Each template slot has its own set of tabs so 1f you are inside a numerator slot for examp
21. erring to this manual Chapter 4 of the Math Type User manual includes 18 step by step tutorials to get you started v Tutorials There are additional tutorials on our web site at www dessci com tutorials v Handouts Whenever I present a session like this one at a conference I post my handout on our web site for a year You can access this handout and others at www dessci com handouts v Technical Support We provide lifetime technical support for MathType For technical support Phone 562 432 2920 gt Email support dessci com Web www dessci com click one of the Support links A collection of support notices at the site covers most topics for both Equation Editor and MathType hort Mathie Bob Mathews Director of Training bobm dessci com Design Science Inc 140 Pine Avenue 4 Floor Long Beach California e 90802 USA 562 432 2920 562 432 2857 fax info dessci com e www dessci com With Equation Editor open these menus are Equation Editor menus not Word menus 1 Setting Font Styles in Equation Editor see p 6 for MathType Setting font styles amp sizes in Equation Editor 1s a simple process Follow these steps File Edit View 1 Open Equation Editor Fal FREE na NaN aie ee RR me iat go 1 2 2 2 Inthe Style menu click Define T X 3X45 3 Setthe styles to the desired font by using the drop down lists The styles Text Function Variable Matrix
22. for your equations 1 For example let s say you d like more space between an integral symbol and the limits of integration We ll add more space by nudging the limits to the right 2 Select the upper limit The most common method to select items 1s to drag the mouse across the item For small items though such as limits subscripts etc it s easier to use the Shift and arrow keys With the cursor to either the left or right of the item you want to select hold down the Shift key as you press the either the left or right arrow key as appropriate Release the Shift key after you ve completed the selection 3 Hold down the Ctrl key Use the arrows on the keyboard to move the selected item s 1n the desired direction MON MON before nudging after nudging Note that not all printers will print the limits as tightly spaced as the ones in the before example You may have to experiment with nudging a bit in order to find the proper amount page 11 SSS tat Ss If you re using MathType you can save the newly nudged expression or equation to the toolbar That way you don t have to nudge it every time you use it MathType Equation in Calculu MathType Equation in Calculu MathType Equation in Calculu File Edit View Format Style Size f File Edit View Format Style Size File Edit View Format Style Size f culus o Algebra PRESTE E Ay Ei Faraz aee Y t 0 Ax jax ax gt x ner Expressi
23. hor needs to refer to a particular equation number in the text of the article There are very few times when a primary or secondary school math teacher would need to number equations 13 y Insert Equation Number Inserts an equation number at the current position of the cursor This icon is most often used to add an equation number to a display equation that s already in your document Insert Equation Reference Inserts a reference in the text of the document and links the reference to a particular equation number For example I may say something like this In equation 0 1 above the number 2 indicates a vertical shift of 2 units up If I were to decide I needed a new numbered equation above the current equation 1 1 the new equation would become 1 1 and the current equation would be re numbered 1 2 Since the reference I wrote above is linked to this equation it also changes to 1 2 page 4 4t Insert Chapter Section Break Chapter and section numbers are not required when you re numbering your MathType equations but if you do use them you ll need to change the chapter or section number when you move to the next chapter or section 0 Update Equation Numbers This icon isn t needed very often because when you add an equation prior to an existing numbered equation the equation numbers and references that follow the new equation are automatically updated as I described
24. ifference between the Sigmas is in the placement of the equation and its relationship to the surrounding text py Y Insert Inline Equation Inserts an equation inline with your text An inline equation becomes part of your paragraph and moves with the text when you add or delete text This is an example of an inline equation a b c Insert Display Equation Inserts an equation below the current line of text like this one X TX Vt Vy X ee a my x y 5 l When MathType inserts a display equation it centers the equation on the line and places the cursor on the line below the equation so that when you close MathType you re ready to continue typing X and Insert Numbered Display Equation Acts exactly like the previous icon except places an equation number either at the left or right margin depending on which of the two icons you select Here is a Right Numbered Display Equation P sin x 2 2 0 1 When inserting equation numbers you can format them however you want with or without section or chapter numbers with any kind of separator between the numbers e g 1 1 1 1 1_1 etc and with or without any kind of brackets you choose The next four icons on the MathType toolbar all have to do with equation numbers Note that these are not problem numbers as in a test or quiz They are equation numbers like you may see in a textbook or in a journal article when the aut
25. le and set a tab at the 1 mark that tab will not be set outside the fraction In the example above make sure your insertion point 1 e cursor is outside the fraction before you set the tab You won t run into this problem if you set your tabs prior to typing the MathType equation but you won t always know where you want the tabs set before you start typing Just be aware of this feature of tabs m For our example since we re using tabs to align the multiple choice responses we don t need our 1x4 matrix You can use the matrix if you want of course but you wouldn t use both a matrix and tabs n One final point on tabs You already know what the Tab key s for when you re typing in MathType it s to move from one template slot to another or to move out of the template To move to the next tab stop you need to press the Ctrl Tab keystroke combination Saving to the MathType toolbar Naturally you don t want to have to go through the process of creating this for each question You could copy the responses from one question and paste them into another then edit the responses but there s an easier way Using the example above delete each response and in its place insert a 1X1 matrix Without the matrix the insertion point 1 e cursor will appear after the d then to type the a response you d have to click the mouse in that position Having the Ix1 matrix in place before you save it to the toolbar gives the inserti
26. on 3 no description 9 Aligning items within an equation There are all sorts of things to align within an equation the work shown below a dividend in a long division problem equations in a system of equations items in a pictogram responses in a multiple choice question etc We will look at two of these systems and multiple choice Note Even if you don t teach the level of math requiring systems of equations and even if you never create multiple choice tests the techniques learned here will still be useful to you 9a Systems of equations and inequalities a There is no right or wrong way to align the equations in a system it s basically a matter of choice and a matter of what your students can read the best For simplicity we won t specifically mention systems of inequalities but these exact steps will work for those as well Here are 4 different scenarios 3x 4y z 17 x 3 qe 5x 3y 26 2x 3y 2z 15 2x y 3 2x y 3 Ze y x y 4 3x 2y z 3 3x 2y z 3 1 2 3 4 b Systems 2 and 3 above present the greatest challenge so let s deal with system 2 c In this system we want to align the variables the operation symbols or and the sums so that they are vertically aligned with similar elements in the previous equation and right justified within each column for example z amp 2z and 15 amp 4 1n system 2 above d There are many ways to align a system but let s just cut to the chase and say that
27. on Editor or MathType regardless of whether or not it contains an equal symbol or you could include all the responses in a single equation and arrange them in various ways Two common ways to arrange the responses are to place them all on the same line of text or to put two responses on one line and two on another line We ll deal with the first option here b For this example we ll create the responses for this question 1 Find the quotient 14 14 d 2 a 2 b 2 Cc1 co no co c One option would be to type the question and all the responses as a single equation but we ll type the question text in Word and the division expression and responses in Equation Editor or MathType We ll type all 4 responses as one object d Assuming you ve already typed the question let s work on the responses Open Equation Editor as you normally would either from the Insert menu or by clicking the icon on your page 14 Word toolbar This will be specifically Equation Editor These steps will work of course in MathType as well but there will be separate steps for MathType later We re using Arial font and 11pt size so adjust your Style and Size accordingly If you don t know how to do that see the Equation Editor Help file and look under Applying Styles and Fonts in an equation Change an Equation Editor style and Changing Mathematical Element Sizes in Equations Change the definition of a mathematical element size in an eq
28. on point a place to land when you click on the item to use it next time See graphic below Algebra CE The 1X1 matrix is also handy for other purposes such as the generic quadratic formula and the generic p degree polynomial you see saved on the Algebra toolbar above It s a good idea to save the 1x1 matrix to the toolbar for easy access for situations such as this page 16 10 Using Word s AutoCorrect Feature Some things you create with Equation Editor or MathType are repetitive the grid discussed earlier for example If you re creating a worksheet on graphing linear functions you ll quite likely have 10 or 20 of these so it s very useful to be able to insert a grid with just a few keystrokes and without even opening up MathType Note There is a more detailed tutorial on our web site for using Word s AutoCorrect and AutoText features You can access this tutorial at www dessci com en support mathtype tutorials autocorrect tutorial htm This will be done using Equation Editor If you are using MathType the steps are similar Since most of what we ve done in this session has been done with Equation Editor you may wonder what s so much better about MathType There s a page later in the handout that discusses this Setting up AutoCorrect to Insert Equation Objects f 4 Ep 4 r 4 4 f 4 2 RI I 2 R 4 4 Ll
29. ore exact way insert a then color it Mitre h One more step then we re done There s a simple adjustment that lets us move the columns of the matrix closer together On the Format menu select Define Spacing The third item from the top is what you want to adjust Matrix column spacing The normal setting is 100 Since we want to decrease the spacing we want a number smaller than 100 If the dialog is in the way and you can t see your equations place the mouse pointer on the title bar of the Spacing dialog and drag it away from your matrix so that you can see your entire system Try a spacing value of 50 but don t click OK yet Watch your system of equations as you click Apply If you like the results click OK if you need to decrease the spacing further try a smaller number It s easy to see how valuable the Apply button is It s a real time saver when compared to repetitively clicking OK each time because once you click OK the dialog disappears Also it s important that the percent symbol 1s selected in the drop down box You sure don t want a spacing of 50 points or 50 inches i After you settle on a value my personal opinion is that 25 works best either click in your document to close the Equation Editor window and go back to Word or if you re using MathType simply close the MathType window click the X in the upper right hand corner j In MathType you have two attractive options you don t have in Equation Editor
30. ormation Keyboard Guide Also note that in MathType when you point to an item with the mouse the description and keyboard shortcut are displayed in the Status Bar MathType Equation in Algebra 2 Final Exam doc Seles File Edit View Format Style Size Preferences Help Re as EE ed ara enef eet EE keyboard short u amaian in the status bar Equation Editor displays only the description page 21 13 Making Changes to a Matrix Sometimes you may wish to modify an existing matrix This may happen for any one of several reasons you need to change the matrix dimensions you need to change the column alignment you need to add or remove partition lines etc We ll first look at changing a matrix in Equation Editor then see the additional matrix features in MathType Example 1 You have this problem on a test 7 1 2 4 Add the matrices 3 1 3 4 You d like to make problem 5 a matrix multiplication problem a 3x2 matrix multiplied by a 2x3 matrix You decide to use the matrices from problem 4 and adjust the dimensions Here s what you need to do 1 Copy the matrices from problem 4 and paste them into problem 5 7 5 1 2 5 Multiply the matrices 3 1 3 4 2 Now let s change from addition to multiplication and add a new row 3 to matrix and a new column 3 to matrix 2 a Double click the matrices to open the problem in Equation Editor b Click inside matrix 1 so that the insertion point 1s fla
31. owerPoint presentations or Web pages 6 Chemistry notation Ba NO aq 2 NH IO aq Ba IO s 2 NH NO aq Solution Solution Precipitate Solution Atomic Bonding orbitals orbital N NNT F Jy RINT H F H page 24 What else can I do with MathType that I can t do with Equation Editor MathType includes over 200 symbols and templates that are not included 1n Equation Editor Some of these are shown here Many of these are currently available only in the Windows version Examples gt x OY FORK i In addition MathType 5 includes the ability to include a tilde hat arc or harpoon vector barb over more than one character It also includes cross out templates for showing cancellation Examples AB DS Color MathType 5 lets you color all or part of an equation or use multiple colors in a single equation This is great for making captivating PowerPoint presentations or for printing color transparencies on an ink jet printer Example Find the LCD 42 2 1 5 2 2S x 2x 2x 2x 2x 2x 2 Denominators in red Web publishing MathType lets you save your equations as GIFs to use in your web documents MathType 5 can also generate MathML an XML application that is the W3C standard for publishing mathematics on the web Equation numbering Not everyone needs to number equations or include references to equations in the text of a document If you are a textbook author or write manuscripts for
32. shing inside one of the matrix cells r 3 F 3 1 3_1 Correct Incorrect Pu e e M hy HL 3 0900 LR RE c In the Format menu click on Matrix page 22 d Change the matrix dimensions to 2 columns and 3 rows Similarly change the dimensions of matrix 2 to 3 columns and 2 rows Insert the contents of the empty cells Question 5 now looks like this 7 5 12 5 5 Multiply the matrices 3 1 EY 2 4 3 46 3 Re dimensioning a matrix in this way will always result in new columns being added to the right and new rows added to the bottom Making a matrix smaller will remove columns and rows from the right and bottom respectively This 1s the only way to re dimension a matrix in Equation Editor MathType gives you more utility by allowing you to add or remove a row or a column anywhere in the matrix Align at Top wv Align at Center Align at Bottom Color k Line Spacing 7 m Add Row Above Fence Alignment Add Row Below Inline Equation Add Column to Left S Reset Nudae Add Column to Right Ctrl M R Define Spacing Delete Row Ctrl M D ME o Delete Column Ctrl 4M Shift 4D Change Matrix Ctrl M C Example 2 Y ou need to add a partition line to a 3x4 matrix to make it an augmented matrix x 2y 2z 9 1 11 9 x 3y 4 gt 3 0 4 24 gt Z 10 2 5 1 10 1 With your cursor inside one of the cells in the
33. st fraction Y E d EE b While holding down the Ctrl key on the keyboard Alt key for Equation Editor Option key on the Macintosh select the Reduced size fraction template from the Fraction and radical templates palette as shown to the right c Repeat for the remaining 2 fractions yslx 4 Replace Reduced size fraction Ctrl T Shift F t3 o 2 X 3 2 You create an integral and realize you should have specified an expanding integral dx tan xc Jz You remember reading in the MathType User Manual that if you hold down the Shift key while you select an integral template 1t creates an expanding integral symbol You also remember that holding down the Ctrl key allows you to replace one template with another z aff fo lt gt Tele to of tan x 5 2 ED Replace Expanding indefinite integral no limits Ctrl S hift 1 Holding down both the Ctrl and Shift keys Macintosh Option Shift lets you replace the integral with an expanding integral NOTE For template replacement it s important to select the entire template but only the template and the template contents you wish to replace page 20 12 Keyboard Shortcuts MathType was designed with a point and click interface Find the symbol or template you need click on it and it becomes part of your equation The program also has many keyboard shortcuts so you can access the commonly used symbols and templates
34. symbol larger than the smaller ere surrounding variables and numbers so it switches to Symbol size Larger Ctrl gt Even though this switching is automatic you still have control over what sizes MathType uses when it selects these special sizes To specify these sizes select Define at the bottom of the Size menu page The Define Sizes dialog is quite different from the Define Styles dialog One of the major differences is the presence of a preview window The preview window doesn t show you the actual equation you may be working on but it does give you an indication of what exactly will change if you change the setting that s Define Sizes Ful E ix l 58 fe l Subscript Superscript Sub Subscript Superscript Symbol S ub symbol User 1 User 2 Smaller Larger Increment Help Apply Iw Use for new equations Factory settinas highlighted to the left of the preview window For example in the picture above the only thing that will change in that sample equation when I change the Full size setting notice the 12 is highlighted is the X In MathType the size setting called Full is the setting that you want to be identical to the text size in your document If you re typing a test and you re using 11 pt type size make sure the MathType Full size is set to 11 pt Notice the rest of the sizes except Smaller Larger Increment are specified as a percent Percent of
35. uation Notice especially the Tip at the bottom of the discussion on size The Tip doesn t suggest what sizes to use but I recommend 75 for Subscript Superscript and 50 150 and 100 for the next 3 We want to space the responses uniformly and the best way to do that is to use a matrix This will be a 1 row 4 column matrix so go ahead and insert one of those in your document Change to Text style then type the letter a followed by two spaces Notice the space bar works just fine in Text style Change to Math style then type 22 When you type the fraction be sure to use the Reduced size vertical fraction which is F D the one in the upper right of the Fraction and radical templates palette An easy way to keep from switching from Text to Math four times 1s to copy what you just typed 1 e select the contents of the first cell with your mouse then press Ctrl C to copy Now press Tab to go to the next cell and paste the contents into that cell Ctrl V is the shortcut Do the same with the remaining 2 cells then edit the contents so that 1t looks similar to the above example We ll adjust the spacing in the next step Since this is a matrix and you already know how to adjust the column spacing in a matrix go ahead and adjust it to see what looks best I think somewhere in the range of 300 400 looks best but that s just my opinion Use whatever setting you like In MathType you have another tool that makes it even easi
36. using a matrix is the best way to do it So that established what size The obvious number of rows is a number equal to the number of equations There are several choices for the number of columns but the best balance between utility and ease of use is a number of columns equal to the number of equations plus one So our matrix for system 2 above will be a 3x4 page 12 e The first step is to insert the Left brace from the Fences palette on the Equation Editor or MathType toolbar The icon you re looking for on the Fences palette is this one It s in column 1 4 from the bottom f f Next insert a 3x4 matrix by selecting Variable size matrix from the Matrix templates palette making sure to select Column align Right in the Matrix dialog g Now you re ready to insert the equations into the matrix but how you do it is critical Enter 3x in the first cell press Tab to go to the next cell enter 4y press Tab enter z press Tab and enter 17 in the last cell Pressing Tab once more gets you down to the next row to begin entering the second equation Enter the next 2 equations similarly This is how it should look when 2x 3y 22 l5 you re done doesn t look very pretty does 1t xt y 4 3x 4y z 17 So how do you get the right amount of space where the should be In Equation Editor your only choice is to add spaces Problem is 3 isn t enough and 4 is too many In MathType there s a more elegant and m
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