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Texas Instruments TI-34 MultiView

1. 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 10 5 Removing data points Drop the lowest test score by edit ing 2nd stat the data in Llin the data editor Make sure you update the frequency list L2 if needed Find the new mean x Finally clear the data from all of LI the lists Press Dis play 2nd stat 1 4 a AD CO G Co areqear 3 LEVO ca GJ EICO off reset y ans TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Entering 2 var stat data The table below shows the number of 2nd stat pairs of athletic shoes sold by a small shoe store Thetable shows thetotal number of pairs of shoes sold for t wo months and thetotal number of pairs of Brand A shoes sold during the Same months Enter this data inthe data editor Month Total No x Brand A v April 58 35 May 47 28 Press Dis play 58 P 41 033928 recall reset off y ans CJ LJ D 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 10 Viewing the statistics Assuming that therateof shoe sales 2nd stat IS a constant you can use two data points to predict the une sales of Brand A if you know the total une sales Usea line of best fit to find
2. e Use parentheses where needed to obtain the desired results Example 52 25 75 2 25 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers D Squares Use this formula to find the size of the tarpaulin needed to cover the entire baseball infield DIE A x 27 4 square meters Press 21 1 4 Or 1 27 47 750 76 The area of the tarpaulin is 750 76 Square meters 27 4 750 76 off re ans D 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Square roots Use this formula to find the length of the side of a square clubhouse if 3m of carpet would cover the floor Round your answer to 0 decimal places L x 3 meters 3m of carpet Press Dis play 3 The length of a Side of the square clubhouse Is 2 meters rounded to 0 decimal places O CJ 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers D 9 Cubes Usethis formula to find the volume of a cube with sides 2 3 meters long Change your answer to a fraction V L 2 3 cubic meters The volume of the cube is 2 16 7 cubic meters
3. SIDS C CJL LY 8 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Using a power as a constant Usethis formula to find the volume of 2ndl set op2 each cube v length of side S 2 unts S M 4 3 units S 24 units Press Display 2nd set op2 Press if necessary to clear a previous operat ion math 3 enter s OP22 2 op2 3 op2 4 op2 2007 TEXAS INSTRUMENTS INCORPORATED 11 34 MultiView A Guide For Teachers 8 Using a power as a constant continued The volumes are 8 2 7 and 64 cubic units Another notation used ona calculator to raise a number to a power Is Enter 4 A 3 Notice the different notations 49 2473 24x4 x4 264 cu a 5 A EE c GIT ES 8 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Memory and stored variables Keys 1 HM Aa N U lets you store values to variables Press to store a variable and press to select the variable to store Press to Store the value in the selected variable If this variable already has a value that value is replaced by the new one accesses variables Press this key multiple times to choose x y z t a b or c You can also use x2 to recall the stored values f
4. off re ans B 0 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Powers Fold a piece of paper in half in half again and so on until you cannot physically fold it in half again How many sections would there be after 10 folds After B folds Press Dis play 2 N 1 2 N b enter Fold the paper in half once and you will see two sections Fold the paper in half again and you will see four sections Folding again yields 8 sections and so on After 10 folds there will be 1024 sections After B folds there will be 32 768 sections off re y ans L 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers B 1 Roots If the volume of a cube is 25 cm 2nd 17 what Is the length of each side L 3 25 cm Press Display 3 nal 7 25 The length of each side is 5 cm os x OJ LJ LY Eee B 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Reciprocals The chart below shows the amount of 2nd ka time spent building model ships Time Portion S pent Complet ed S hips Building Per Hour S ailing 0 NFS Steam 53 hrs Luxury 55 NFS How much of each model was completed per hour Press Display Sailing ship 10 1 2 2nd lt gt
5. TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Integer divide Keys 1 2nd int divides two positive integers and displays the quotient and the remainder r 5 TEXAS INSTRUMENTS set op2 22222 DOOD 9 Notes e The examples on the transparency masters assume all default settings e You can include integer division in an expression but the remainder may not be displayed as part of the final answer e After a calculation with 2nd jjint IS completed only the quotient from the result is stored in ans last answer Therefore if you use the result in another calculation the remainder is ignored 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 Integer divide You have 23 music CDs You divide 2nd int them equally to store on 13 small Shelves in your room How many CDs will be on each shelf How many will be left over Press Display v 2nd int 122 inte 13 ane Each shelf will contain 9 CDs with 6 CDs left over SQDDS Re 8 0 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Stored operations 10 Keys Notes 1 2nd set opi or 2nd set op2 lets you store an e The examples on the transparency masters operation
6. FLOAT floating decimal point displays up to 10 digits plus the Sign and decimal 0123456 78 9 fixed decimal point specifies the number of digits 0 through 9 to display to the right of the decimal clear var 7 Q gt s a 5 6 gt STD OGOS 3 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Mode continued CLASSIC MATHPRINT sets the display inout and out put CLASSIC displays inputs and out puts In a Single line The MATHPRINT mode displays most inputs and outputs in text book format Use MathPrint mode for better visual confirmation that math expressions have been ent ered correctly and to better reinforce the correct math notation Note S wit ching the mode bet ween Classic and MathPrint clears calculator history and the stored operations oplor op2 values Un d n d Determines how fractional results are displayed Un d displays results as a mixed 8 number if applicable 5 n d displays results as a simple fraction 0 J 3 ES 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 3 3 Mode continued MANSIMP AUTOSIMP Determines whether or not a fractional result will be simplified automatically MANSIMP The user simplifies fractions manually step by step V next to the resulting fraction Signifies that the fraction Is not yet in simplest f
7. 2007 TEXAS INSTRUMENTS INCORPORATED Clearing and correcting 2 Keys Notes 1 clears characters and error messages e The examples on the transparency Press once to clear an uncomplet ed masters assume all default settings entry press it again to clear the display You Pressing does not affect the can scroll up and use to clear entries in history backs up one screen in applications memory statistical registers angle units or numeric not ation 2 2nd insert lets you insert a character at the cursor 3 deletes the character at the cursor Then each time you press delete it deletes 1 character to the left of the cursor insert m eae Ge S a 4 UG fa d gt DOC SX angle g log stat set op2 O GB C1 5 E d 2007 TEXAS INSTRUMENTS INCORPORATED 11 34 MultiView A Guide For Teachers 4 1 Delete and insert Enter 4569 285 and then change it to 459 2865 Complete the problem Press Dis play 4569 285 4569 2755 9 W 4531205 delete l at 45939 2565 naj insert oe AB N O 40712065 2324 2nd insert ans 4 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Clear Enter 21595 Clear the 95 C
8. CLEARED is displayed 2nd trig Displays the TRIG menu I sin Calculates the sine of an angle 2 COS Calculates the cosine of an angle 3 tan Calculates the tangent of an angle 4 sin Calculates the inverse sine 5 cos 4 Calculates the inverse cosine 6 tan X Calculates the inverse tangent A 4 TI 34 Ill Explorer Plus A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Quick reference to keys continued A KEY FUNCTION nd stat Displays the following menu from which you can select EVar 2 Var or StatVars Var Stats Analyzes data from 1set of data with 1measured Variable x 2 Var Stats Analyzes paired data from 2 sets of data with 2 measured variables x the independent variable and y the dependent variable StatVars After choosing Var or 2 Var stats displays data values StatVars displays the following menu of stat variables with their current values n Number of x or x y data points xory Mean of all x or y values Sxor Sy Sample standard deviation of x or y oxor oy Population standard deviation of xor y ZxorZy Sumof all x values or y values Ex or Ly Sumof all x values or y values xX xy Sum of the product of x and y for all xy pairs in 2 lists a Linear regression Slope b Linear regression y intercept r Correlation coefficient x 2 Var Uses a and bto calculate predicted x value when you input a y value y 2 Var Uses a and bto calculate predicted y value when you
9. Enter another fraction The table automatically updates To clear data press enter The students can create a running list of all fractions in the activity instead of setting up the calculator separately for each table Hint Press or 2nd quit to return to the Home screen 18 11 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Next stop fraction terminal continued 2 TableD Table E gt 0 125 sE 0 04 0 25 0 08 0 375 55 50 12 50 50 55 50 16 gt 0 625 0 2 0 75 0 24 0 875 se 0 28 0 32 3 Thedecimal representations for the factions are 9 10 15 20 _ 55 0 36 55 0 4 55 0 6 55 0 8 4 Answers will vary Students should notice that all denominators have at least factors of either 2 or 5 or both 2 and 5 only in their prime factorization Notice that 2 and 5 are factors of 10 base 10 1 45 2 5 TableF 3 0 3 3 0 6 Al anal ae 4 aED i Table G 6 0 106 6 s 3 6 S 0 5 6 0 6 6 0 8 6 Answers will vary The decimals in Tables F and G repeat except for i gt 0 5 Guide students to discover that the prime factorization of 3 and 6 does not contain a factor of 2 and or 5 The fractions in Tables F and G cannot be written as a fraction with a denominator that is a power of 10 except which simplifies to gt This will help 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teacher
10. the conveyor belt x Round your answer to the nearest tenth and then return to floating decimal mode Press 2nd trig 4 B 4 20 RAD 4 Continued 5 0 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Inverse sine continued 2nd trig GE 41 2416015 mode The angle of the conveyer belt is x240 5 rounded to the nearest tenth 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers D 1 Inverse cosine Use this formula to find the angle of 2nd trig the ski jump x Round your answer to the nearest tenth and then return to floating decimal mode Press 2nd trig 5 453 4 200 DJ enter mode RAD Continued 5 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Inverse COSINE continued 2na trig 25 04169513 452 25 0 The angle of the ski jump is x 25 0 rounded to the nearest tenth 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 3 Inverse tangent Use this formula to find the angle of 2nd trig depression x Round your answer to the nearest
11. 8324 For product hardware service Customers inthe U S Always contact Texas Instruments Customer Support before returning a product for service Canada Mexico Puerto Rico and Virgin Islands All other customers Refer to the leaflet enclosed with this product hardware or contact your local Texas Instruments retailer dist ribut or 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers D l D 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Battery information E Batter Do not leave batteries within the reach of children precau ions e Do not mix new and used batteries Do not mix brands or types within brands of batteries e Do not mix rechargeable and non rechargeable batteries e Install batteries according to polarity and diagrams e Do not place non rechargeable batteries in a battery recharger e Properly dispose of used batteries immediately Do not incinerate of dismantle batteries Seek medical advice immediately if a cell or battery has been swallowed In the USA contact the National Capit al Poison Center at 800 222 222 Batter Do not mutilate puncture or dispose of batteries in fire The batteries di can burst or explode releasing hazardous chemicals Discard used IS posa batteries according to local regulations Per CA Regulation 22 CCR 6 38 4 4 the following applies to the button cell battery in this unit Perchlorate
12. 94 at shop B 16 96 at shop C Youspent 68 86 at allthree outlet shops 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 9 5 9 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Data editor and list conversions 2 Keys Notes 1 displays a Data editor with three lists The examples on the transparency masters Each list can contain up to 42 items To assume all default settings enter data navigate toa list and enter a number Press the arrow keys to navigate list element s The Convert ing fractions to decimals transparency supports the activity Next stop fraction termimal e List conversions accept f ed S imp and n d Un d e fa conversion is entered to a list the conversion list automatically updates if a referenced list element is updated e When a conversion is deleted the data remains for use The data Is no longer updated Pressing from the Data editor screen opens menus with options to clear lists or to enter and manage conversions Pressing froma list inthe Data editor is a Shortcut that takes you straight to the author line to enter or edit a conversion P TEXAS INSTRUMENTS Pressing while entering or editing a conversion opens a menu containing list names you can use in the conversions e To edit a conversion press or 0 1 from anywher
13. Activities and Howto use the TI 34 MultiView calculator The Activities section Is a collection of activities for integrating the TI 34 MultiView into mathematics instruction The Howto use the TI 34 MultiView calculator section is designed to help you teach students howto use the calculator Each section uses the default settings including the MathPrint mode unless indicat ed otherwise Activities Each activity is self contained and includes the following e An overview of the mathematical purpose of the activity The mathematical concepts being developed e The materials needed to perform the activity e The detailed procedure including st ep by step TI 34 MultiView key presses A student activity sheet How to use the TI 34 MultiView This section contains examples on transparency masters Chapters are numbered and include the following e An introductory page describing the calculator keys presented in the example the LT location of those keys on the TI 34 MultiView and any pertinent notes about their functions e Transparency masters following the introductory page provide examples of practical applications of the key s being discussed The key s being discussed are shown in black on the TI 34 MultiView keyboard The mode settings are also shown for examples with mode setting changes Reset the TI 34 MultiView e You can ensure that everyone starts at the Same point by having stu
14. Display gt 2nd reset vs MEMORY CLEARED P Using 2nd reset returns all settings to their defaults and clears the memory r 7 m 3 0 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Mode mode mode Use mode t o choose modes Press to choose a mode and to select it Press Or 2nd quit to return to the Home screen and perform your work using the chosen mode settings Default mode settings are shown highlight ed AL kg Au TO IHF re ee 4 1 DEG RAD Setstheangle modeto degrees or radlans NORM SCI Sets the numeric notation mode Numeric notation modes affect only the display of results and not the accuracy of the values stored inthe calculator which remain maximal c AIGLE recall 2 2 3 G0B 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 3 1 Mode continued NORM displays results with digits to the left and right of the decimal as in 23456 78 SCI expresses numbers with one digit to the left of the decimal and the appropriate power of 10 as in 123456 78 x10 which is the same as L3456 78 Note 07 IS a shortcut key to enter a number in scientific notation format The result displays in the numeric notation format set in mode FLOAT 012345678 9 Sets the decimal notation mode
15. Error messages C When the TI 34 MultiView calculator detects an error it returns an error message with the type of error To correct the error note the error type and and determine the cause of the error If you cannot recognize the error use the following list which describes error messages in detail Press to clear the error message The previous screen is displayed with the cursor at or near the error location Correct the expression MESSAGE ARGUMENT DIVIDE BY 0 DOMAIN EQUATION LENGTH ERROR OVERFLOW STAT FRQ DOMAIN CONVERSION SYNTAX OP NOT DEFINED 2007 TEXAS INSTRUMENTS INCORPORATED MEANING A function does not have the correct number of arguments You attempted to divide by 0 You specified an argument to a function outside the valid range For example For Vy x 0 or y lt 0 and xis not an odd integer For x x lt 0 For LOG or LN x lt 0 For TAN x 90 90 270 270 450 etc For SIN or COS x gt 1 For nCr or nPr norr lt 0 Anentry exceeds the digit limits 88 for entry line and 47 for statistics or stored operation entry lines for example combining an entry with a stored operation that exceeds the limit You attempted to enter or you have calculated a number that is beyond the range of the calculator Attempting to calculate Var or 2 Var stats with no defined data points or attempting to calculate 2 Var stats when the data lists are not of equa
16. How would you compute the average heart rate Is your answer the same as in question 2 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers Heart rates Name variable statistics me 4 Use this table to record your class or group data running Heartbeats per minute Frequency running 5 What is the class group average 6 Answer the following questions from the data a What is the total number of heartbeats for the minute Write the symbol and the number from the calculator b What is the total number of student s heartbeats entered Write the symbol and the number from the calculator N M NA BE c How would you compute the average heart rate on ON L Is your answer the same as in question 5 ZN Br m J DER CF 10 11 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Heart rates Name Ivariable statistics mt 7 Usethis table to record your class or group data jumping Heartbeats per minute Freguency jumping 8 What Is the dass group average 9 What is the total number of heartbeats for the minute 10 Answer the following guestions from the data a What is the total number of heartbeats for the minute Write the symbol and the number from the calculator b What is the total number of student s heartbeats entered Write the symbol and the number from the calculator c How would you compute the average
17. Material Special handling may apply S ee www dt sc ca gov hazardous wast e perchlorate Remove or Remove the protective cover and turn the TI 34 Mult iView face downwards replace the e With a small screwdriver remove the screws from the back of the battery case e Fromthe bottom carefully separate the front from the back BE CAREFUL not to damage any of the internal parts e With a small screwdriver if required remove the battery e To replace the battery check the polarity and and slide ina new battery Press firmly to snap the new battery into place Important When replacing the battery avoid any contact with the other components of the Tl 34 MultiView e Dispose of the dead batteries immediately and in accordance with local regulations Type of battery The TI 34 MultiView uses one 3 volt CR20 32 lithium battery 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers E l E 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED
18. RAD Entries are interpreted and results displayed according to the angle mode setting wit hout needing to enter an angle unit modifier S ABA marie S 5 TEXAS INSTRUMENTS Inser Cr D op2 BABO K dr DOC 5 DE o 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 13 5 Degrees minutes and seconds to decimal Find the measure of the third angle of 2nd angle a triangle if one angle measures 45 30 and the other angle measures 36 15 Express the angle measure in degrees minutes and seconds Press Dis play 45 andJ angle 07 l i 30 2ndllangle f soosnrazeeis 2 F36 81 75 2nd angle 1 15 2nd angle 2 Continued SJO C CJL LY B 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Degrees minutes and seconds to decimal continued 2nd angle 18 U 2ndJ angle 459301436015 a 1 2nd ans igd ans 98 35 2nd angle 1 on 5 emer gs SIE The measure of the third angle Is 98 15 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers B Decimal to degrees minutes and seconds Yo
19. TI 34 MultiView calculator find the total distance that you need to travel For this rough estimate assume that you are measuring the distance as a straight line from the earth to our sun and then on to Alpha Centauri Hint Make sure your calculator is in scientific notation mode before you begin addition Next find out how long it will take you to travel the distance Distance traveled 1 light year Hint Make sure you use parentheses if needed in order to get the correct result for this division problem 2 Can you make the trip in the allotted time of 5 years Extension Now that you have been successful you have been asked to make another trip The distance from the Sun to Delta Centauri is 9 x 105 miles How long will it take you to get there from Earth Hint The Earth is approximately 9 3 x 10 miles from the Sun Your trip on this starship is fictitious If you are interested in finding out more about the nearest star and cosmic distances visit NASA web sites on the Internet 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Heart rates Ivariable statistics Overview Math Concepts Materials Students use the data editor and statistics function mean minimum TI 34 MultiView of the TI 34 MultiView calculator to investigate the maximum and e stopwatch or a effect of exercise on heart rate range watch with a second hand student activity Introduction Students may
20. Teachers 6 l Mixed numbers A baby weighed 45 pounds at birth In the next 6 months she gained 2 pounds How much does she weigh Mode setting Un d Press Dis play 4 U 3 8 2 ua 3 4 Continued Same 110DE OAD 6 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Mixed numbers continued Mode setting n d Press Dis play 4 ui 3 8 2 lua 3 4 enter After 6 months the baby welghs l 1 ds z Pounds clear var D aaloe TPE 2007 TEXAS INSTRUMENTS INCORPORATED 11 34 MultiView A Guide For Teachers 6 3 Converting fractions and decimals J uan swims 20 laps in 5 72 minutes 2nd f lt gt d Mary swims 20 laps in 5 minut es Change Mary s time to a decimal to determine who swims faster Mode setting Un d Press Dis play 51394 fand F lt a Mode setting n d 5W3 4 f enter ji TIO 2ndj f lt a J uan swims faster than Mary since he swims 20 laps in 5 72 minutes 6 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Converting fractions and decimals Change 2 25 to its fractional 2nd f lt gt d equivalent You may have to simplify more than once to simplify the fraction to its lowest terms Mode setting Un d Press Dis pl
21. a decimal approximation e Internally pl Is stored to B digits 3 41592653590 e You can select the number of decimal places from the mode menu S TBAmuniview S 5 TEXAS INSTRUMENTS Inser DENE S BBA Co O S O Ge Go Ca GD P000 103D ED SE AID 2007 TEXAS INSTRUMENTS INCORPORATED 11 34 MultiView A Guide For Teachers D23 Circumference Use this formula to find the amount of border you need if you want to put a circular border all the way around the tree C 2nr 2xxx15m Press 2 mm 1 5 9 424777961 1 3 2 42477 F961 A ALA OB 1 L L WS The border length is 3x m You will need apprxomiately 9 4 m for the border 24 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Area Use this formula to find how much of a lawn would be covered by the Sprinkler Round your answer to the nearest whole number and then return to floating decimal mode A nr x 42 square meters Press 77 x 4 x2 DODO lt Fel tal zuno clear lt gt 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers D 5 Area continued ro
22. a negative number press and then enter the number Math Concepts Materials e scientific notation TI 34 MultiView addition e pencil e division e student activity Follow these steps 1 Enter the first number 12000000 2 Press mode 3 Press enter to display the number in scientific notation 1 2x10 Follow these steps 1 Enter 5 8 press x107 2 Enter 7 press mode 3 Press enter 58000000 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 3 Star voyage scientific notation continued Hint Before you begin make sure that the TI 34 MultiView calculator is in MathPrint mode to work this Activity Present the following problem to students You are a captain of a starship in the distant problem future You have been assigned to go to Alpha Centauri and you have 5 years to get there The Ras lssucezss distance from our sun to Aloha Centauri is 1 2 5 x 10 miles The distance from the earth to gt our sun is approximately 9 3 x 10 miles HERES AUTOS TAP Although we have not yet discovered how to trave at the speed of light you live in a time where your ship can travel at the speed of light Hint The Earth is approximately 9 3 x 10 Light travels the approximate distance of 6 x 10 miles from the Sun miles in 1 light year You will take a path from earth by our sun and then on to Aloha Centauri Will you be able to get
23. assume all default settings 2 or recalls and displays the stored The Tl 34 MultiView calculator stores two operation operations opland op2 To store an operation to oplor op2 and recall it 1 Press 2nd set op1 or 2na set op2 2 Enter the operation any combination of numbers operators or menu items and their arguments 3 Press to save the operation to memory 4 or op2 recalls and displays the operation The TI 34 MultiView calculator automatically calculates the result and displays the counter and the result You do not have to press enter i t quit PAU fard 5 angle log ans Lo 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 8 1 Addition as counting on There are 4 frogs In a pond If 3 more 2nd set op1 frogs jump into the pond lat a time how many frogs will be in the pond Press Dis play Store the operation 2nd setop E 1 enter Initialize using 4 J gt Add lone at a time 8 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Multiplication as repeated addition Maria put new tile in her kitchen She 2nd set op1 made 4 rows with 5 tiles in each row Userepeated additionto find out how many
24. be placed in smaller groups for this activity to minimize the amount of data to be entered Ask students e What do you think the average heart rate Is for someone your age e What about after exercising Activity Have students complete the following investigation to check their estimations 1 Havestudents check their resting heart rate by timing their pulse for 1 minute You could have them time for 10 seconds and then multiply by 6 but this could be the quietest minute of your day 2 Collect data on the chart Enter each student s heart rate and a mark in the frequency column As other students have the same heart rate add another tally mark in the frequency column 3 Enter the heart rate data into the Follow these steps TI 34 MultiView scientific calculator 1 Press to enter the heart rates a Enter the first heart rate on the chart In L1 and frequencies Enter the heart and the number of tallies for that heart rate rates in L1 and the frequencies in in L2 You will use L2 as the frequency L2 Press between entries and b You must press between entries For to get from LI to L2 example enter the first heart rate and then 2 Continue entering until you have press entered all the heart rates and f ies c For example assume a class of 22 students jk 3 Press 2nd stat Rate Students Rate Students 4 Press 1 to choose 1 Var stats 60 3 63 3 5 Choose L1 for the data and L2 for 61 5 64 1 the fregue
25. decimal representation Your teacher will give you details on how to use the calculator to fill in the table Remember to try to beat the calculator with your own calculations You can check your work with the calculator TABLE D TABLE E 1 8 2 8 A 8 l 8 2 8 8 3 Fromthe pattern you observed in table E fill in the decimal representations for the following fractions ee 29 25 257 25 257 4 With your group look at thefractlons and deci mals in tables A E Write the prime factorization of each denominator 2 4 5 8 and 25 and then look at the decimal representations Write a paragraph about any patterns you see Are the fractions In tables A E represented by a terminating decimal How do you know Prime Factorization 2 4 D 9 25 2 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Next stop fraction Mame terminal mem 5 Mathematicians are like detectives They investigate numbers Observe the fractions in tables F and G and find their decimal representation using on the TI 34 MultiView calculator TABLE F TABLE G 1 6 2 6 6 6 6 6 What do you notice about the fractions in tables F and G How does the decimal representation compare to tables A through E 7 Create similar tables to find the decimal representation of the fractions with the denominators 9 and 11 Write your tables and results here What do you notice 200
26. denominator oe Simplifies a fraction using the smallest common prime factor The factor shows on the display If you want to choose the factor instead of letting calculator choose it press simp enter the factor a positive integer and then press enter 4 2nd lt gt u3 converts bet ween a mixed number and a simple fraction 3 2nd f lt gt d converts a fraction to its decimal equivalent or changes a decimal to its fractional equivalent if possible Notes The examples on the transparency masters assume all default settings lets you choose how fractional results are displayed and whether or not a fractional result will be simplified aut omat ically Un d default displays results as a mixed number if applicable n d displays results as a simple fraction MANSIMP default The user simplifies fractions manually step by step next to the resulting fraction signifies that the fraction is not yet in simplest form AUTOSIMP The calculator automatically Simplifies fractional results to the lowest terms continued 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 0 Fractions continued Notes continued e Calculations using fractions can display fraction or decimal results depending on input e InMathPrint mode fractions with la can include operation keys x etc and most function keys x2 etc In Classic mode fractions with 3 do not allow op
27. heart rate ls your answer the same as in question 8 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers Il Heart rates Name variable statistics ote 11 Make a bar graph for each of the 3 sets of data you collected Resting Running Jumping 12 How are the bar graphs the same How are they different 13 1s the data grouped the same or Is it more spread out in one graph compared to another D 11 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED My favorite recipe fractions Overview Math Concepts Materials Students add the volume of ingredients in a cookie adding fractions TI 34 MultiView recipe to determine the size bowl they need before e simplifying e pencils starting the recipe fractions student activity Introduction Set up the activity by showing the students how to Hint Before you begin make sure that enter mixed numbers into the calculator add and the TI 34 MultiView calculator is in si mpl ify them MathPrint Un d and Mansimp modes 1 Have students practice adding mixed numbers RAD 5 4 17 MA Sl 22450799 a 4 3 3 5 8 TO I MAE CN b 97 61 16 27 hg ALTOSIHP RR 70 5 1 17 1 4 19 d 8 3 7 7 15 51 2 Have students practice simplifying fractions and To simplify a fraction or a mixed mixed numbers number enter the number There are 9 3 two options for simplying a fraction ay Yip 4 1 Press enter a factor that is commo
28. out put formats where possible Press lt gt to toggle bet ween fraction and decimal answers and exact pi and decimal Last answer ans The most recently calculated result is stored to the variable ans ans is retained in memory even after the TI 34 MultiView is turned off To recall the value of ans Press 2nd ans ans displays on the screen or Press any operation key and so forth as thefirst part of anentry ans and the operator are both displayed Resetting the TI 34 MultiView Pressing 2nd reset and then selecting 2 Yes resets the calculator Resetting the calculator e Returns mode settings to their defaults as Shown See Chapter 1 TI 34 MultiView basic operations for more information on the mode settings ZZHEE E PPL PP LT ARS nd u AUTO TAP e Clears memory variables pending operations entries in history statistical data stored operations opland op2 and ans last answer Note The examples on the transparency masters assume all default settings Automatic Power Down APD If the TI 34 MultiView remains inactive for about 5 minutes the APD feature turns it off automatically Press to restore power The display pending operations settings and memory are retained Error messages Refer to Appendix C for a listing of the error messages 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers IX TI 34 MultiView A
29. places 77 Integer divide 79 Stored operations 81 Memory and stored variables 89 Data editor and list conversions 97 Statistics 103 Probability m Logarithms and exponential functions 119 Pi 23 Powers roots and reciprocals 27 Angle settings and conversions B5 Polar and rectangular conversions 41 Trigonometry H3 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 2 5 26 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView basic operations l Keys l turns on the calculator 2 turns on the 2ND indicator and accesses the function shown above the next key you press Ena off turns off the calculator and clears the display completes the operation or executes the command 2nd ans recalls the most recently calculated result and displays it as ans le toggles the answer bet ween fraction and decimal and exact pi and decimal KZ 222 GF CA x set Ce set SO M DE DE Je 1 and move the cursor left and right to scroll entries on the Home screen and to navigate in menus or scrolls to the beginning or end of a current entry and move the cursor up and down through menu items previous entries on the Home screen and entries inthe Data editor moves the
30. tenth and then return to floating decimal mode TAN 600 2500 2500m Press Dis play trig 0 EDD 600 3 2500 12 49573328 FOW ui S ess Cont inued D 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Inverse tangent continued trig 13 49575328 eo es 1 Lan sE The angle of depression is x 13 5 rounded to the nearest tenth 2007 TEXAS INSTRUMENTS INCORPORATED 11 34 MultiView A Guide For Teachers 5 5 5 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Quick reference to keys A KEY HOLE 0 9 2nd V Ele Elo E FUNCTION move the cursor left and right so you can scroll an entry on the Home screen Press or to scroll to the beginning or end of a current entry move the cursor up and down to navigate menu items view ent ries inthe Data editor and function table and view previous entries on the Home screen moves the cursor to the oldest entry onthe Home screen and to the top entry of the active column in Data editor moves the cursor belowthe last entry on the Home screen and to the bottom entry of the active column in Data editor Adds subtracts multiplies and divides Enters the digits 0 through 9 Open
31. the J une sales of Brand A if the store sells a total of 32 pairs in J une Hint Find y 32 Press 2nd stat 2 enter Z VAR STATS XDA TH Lz Le VOR TH ey L CALC Continued 10 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Viewing the statistics Continued 2nd quit J CE 9 fand stat 3 scroll down to y enter 32 E 1 13 45454545 You can predict that 18 pairs of Brand A will be sold In une if the total sales are 32 pairs 2nd stat Extra Graph the two data points 58 35 and 47 28 on graph paper Graph y ax b Find a and b that you calculated for this problem in the StatVars menu Next plot 32 8 You should see that 32 18 Is very close to a point on your line which predicted the sales ME reset off y ans 9 CILJ ex 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 10 110 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Probability Keys 1 displays two submenus PRB and RAND PRB menu nPr Calculates the number of possible permutations of n items taken rat a time nCr Calculates the number of possible combinations of n items taken rat a time Calculates the factorial of a number RAND menu rand Ge
32. tiles she used Press Dis play set op1 m Press if necessary to clear a previous operat ion gt enter 0 opt Continued 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 8 3 Multiplication as repeated addition continued 2nd set op1 Maria used 20 tiles See that 4 groups of 5 is 20 Multiplication is a shortcut to the repeated addition 4 x5 20 Check this on the calculator 4 x 5 enter 8 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Powers as repeated multiplication Use this formula and repeated 2nd set op2 multiplication to find the volume of a cube with a base of 5 meters V lxwxh 5x5x5 5 cubic meters Press Bnd set op Press if necessary to clear a previous operat ion x gt enter 1 op2 Continued 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 8 5 Powers as repeated multiplication continued 2nd set op2 The volume of a cube with a base of 5 meters is 25 cubic meters Seethat 5x5 x5 D5 Youcan also use powers notation as a shortcut for repeated multiplication 5 D5 Check this on the calculator 5 x 5 5 gt N 3 enter
33. 007 TEXAS INSTRUMENTS INCORPORATED Table of contents CHAPTER About the teacher guide About the TI 34 MultiView calculator Activities Star voyage Scientific notation Heart rates Lvariable statistics My favorite recipe Fractions Next stop fraction terminal Fractions Howto use the TI 34 MultiView calculator 1 TI 34 MultiView basic operations Clearing and correcting Basic math Order of operations and parentheses Numeric notation Fractions Math menu Decimals and decimal places Integer divide D Stored operations PR W N O OO M GB U 2007 TEXAS INSTRUMENTS INCORPORATED PAGE CHAPTER vil 49 55 59 67 TI 79 81 Howto use the TI 34 MultiView calculator continued Memory and stored variables Data editor and list conversions Statistics Probability Logarithms and exponential functions Pi Powers roots and reciprocals Angle settings and conversions Polar and rectangular conversions 20 Trigonometry GEUKR F BU 5 Appendix A Quick reference to keys Appendix B Display indicators Appendix C Error messages Appendix D Support and service information Appendix E Battery information TI 34 MultiView A Guide For Teachers PAGE 89 97 03 L3 27 B5 A1 A3 A 1 B 1 C 1 E 1 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED About the teacher guide How the teacher guide is organized This guide consists of two sections
34. 27856 2nd log 2 me y ond flog 1 joi Fei 2 38 A i 1511251 SIDS C CJL LY LO TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Natural logarithm and antilogarithm Illustrate the inverse relationship of 2nd log In and e antiln or exp by finding In 23 andthenraiseetotheresult Notice that 23 returns as the answer Press Display 2nd log 1 In 23 m 23 3 135494216 log 2 Int23 0 gt ETEEN E 2nd log 2 2nd log 1 3 EEFE Ini 23 QO 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers D l D 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Pi 16 Keys Notes 1 displays the value of pi rounded to 10 e The examples on the transparency masters digits 3 14592654 assume all default settings e In MathPrint mode include a decimal number inside the expression with pi to receive a decimal out put For example if you enter 27 the TI 34 MultiView calculator displays 27 If you enter 2 0 m the calculator displays the decimal version 6 283185307 InMathPrint mode you can use lt gt to toggle the answer bet ween decimal and pi formats e InClassic and DEG mode the TI 34 MultiView calculator displays calculations with T as
35. 7 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 2 3 Next stop fraction name terminal ee 8 10 A decimal number is called a reoeating decimal if it consists of a number or set of numbers that keep repeating in a regular pattern Did you see a repeating decimal in your work If so write an example of a repeating decimal Ask your teacher for the correct notation A decimal number is called a terminating ded mal if the decimal representation becomes all zeros after a certain number of digits Did you see a terminating decimal is your work above If so write an example of a terminating deci mal Ask your teacher for the correct notation Can you tell when a fraction will have a terminating decimal representation Can you tell when a fraction will havea repeating decimal representation nvestigate to find out Fill in the following table for the due to this puzzle These are the denominators of the fractions in this activity Write a rule about when a fraction will be a terminating decimal or a repeating decimal Denominator Prime Did the factorization fractions terminate 2 4 5 11 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Howto usethe TI 34 MultiView calculator TI 34 MultiView basic operations 27 Clearing and correcting 41 Basic math 45 Order of operations and parentheses 49 Numeric notation 55 Fractions 59 Math menu 67 Decimals and decimal
36. 9 B97 1 39 793 937 973 31 9 31997 379 3791 3917 3971 7B9 793 731 9B7 91 3 931 Press 4 pb You can make 24 unique license plates using 13 7 and 9 without repet ition m TA TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Random rand Generate a sequence of random numbers Press Dis play PRE Far s Hari rt d U 390926039 d U 390926039 Far Results will vary 2007 TEXAS INSTRUMENTS INCORPORATED 11 34 MultiView A Guide For Teachers 15 Random rand Set las the current seed and generate a sequence of random numbers Press Dis play 1 sto gt a 1 rand i 1 ny O 000018633 ny Note Your results will be the same as this example if you use the same number to store to random seed 16 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Random integer randint Create your own calculator spinner Your spinner will pick numbers from 2 through 10 Hint Generate a random int eger from 2 through 10 Press Dis play m lirang er andint randint z 10 2 Results will vary 2007 TEXAS INSTRUMENTS INCORPORAT
37. ED TI 34 MultiView A Guide For Teachers My favorite recipe name _____ fractions mn 2 Using the TI 34 MultiView calculator add all the measurements in the recipe o N NI e NI e C shortening AIW au 5 eggs Enter your answer from 1 Salt baking powder baking soda vanilla Enter your answer from 1 Total 3 Using the TI 34 MultiView calculator convert the total number of cups into number of quarts cups quarts 4 Would all the ingredients fit in the 5 quart bowl 5 If the ingredients would fit would you be able to stir Extension Find other recipes at home and add up the list of ingredients to determine how large the bow would need to be 6 11 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Next stop fraction terminal Overview Math Concepts Materials Students investigate fraction and decimal fraction and TI 34 MultiView represent ations to determine when a base ten fraction decimal e student activity will be represent ed as a terminating or repeat ing represent ations decimal Students use on the calculator to enter basetensystem fraction families and observe patterns factors Introduction Students will change fractions into decimals by creating equivalent fractions using their understanding of factors and multiples of powers of 10 The first part of the activity should be done by hand If students of various learning styles need Support
38. ED TI 34 MultiView A Guide For Teachers IL 18 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Logarithms and exponential functions b Keys Notes 1 2nd log displays the choice of two submenus The examples on the transparency masters LOG and LN assume all default settings The LOG menu has the following two choices ends a logarithmic function log calculates the common logarithm In MathPrint mode press to exit the base 10 exponent function D calculates 0 raised to the power of the value entered as the exponent common ant ilogarit hm The LN menu has the following two choices In calculates the natural logarithm base e where e 2 718 28 18 28459 e calculates e raised to the power of the value entered as the exponent natural ant ilogarithm S ABA marie S 5 TEXAS INSTRUMENTS Inser set ee Cu op2 DOGG john DOC 5 DE o 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 19 Common logarithm and antilogarithm IIlustrate the inverse relationship of 2nd log log and 0 by finding log 23 and then raise 10 totheresult Notice that 23 returns as the answer Press Dis play 2ndl log 1 loaa 23 1 361727836 2nd log 2 Lodo x enter gx 283842
39. Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Activities Star voyage Scientific notation 3 Heart rates variable statistics 7 My favorite recipe Fractions B Next stop fraction terminal Fractions U 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers l 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Star voyage scientific notation Overview Students investigate scientific notation by changing numbers into scientific not ation and then using them in calculations Introduction Set up the activity by telling your students The standard form for scentific notation S ax 10 where a js greater than or equal to I and less than 10 and nis an integer 1 Have students practice writing the following numbers in scientific notation using pencil and paper a 93 000 000 93x 10 b 384 000 000 000 384x 101 c 0 00000000000234 234x 10 d 0 0000000157 157x 10 2 Havestudents change the following numbers into scientific notation SCI using the TI 34 MultiView scientific calculator a 12000 000 12x 10 b 974000 000 9 74x 10 c 0 0000034 34x 106 d 0 000000004 4x 10 Note Answers assume the default floating decimal setting 3 Havestudents change the following numbers into standard NORM notation a 5 8 x 10 58 000 000 b 7 32 x 10 732 000 c 62x 10 O 0000062 d 3x 10 0 00000003 Note To enter
40. ORATED Star voyage Name L scientific notation oe oo Problems 1 Write the following numbers in scientific notation Standard Notation Scientific Notation a 93 000 000 b 384 000 000 000 c 0 00000000000234 d 0 0000000157 2 Using the TI 34 MultiView calculator change the following numbers into scientific notation using SCI mode Standard Notation Scientific Notation a 12 000 000 b 974 000 000 c 0 0000034 d 0 000000004 3 Using the TI 34 MultiView calculator change the following numbers into standard decimal notation using NORM mode Scientific Notation Standard Notation a 5 8 x 10 b 7 32 x 10 c 6 2 x 10 d 3x 10 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 Star voyage Name a scientific notation oe 2 Problem You area captain of a starship in the distant future You have been assigned to go to Alpha Centauri and you have 5 years to get there The distance from our sun to Alpha Centauri is 2 5 x 10 miles The distance from the earth to our sun is approximately 9 3 x 10 miles Although we have not yet discovered how to travel at the speed of light you livein a time where your ship can travel at the speed of light Light travels the approximate distance of 6 x 10 miles in 1 light year You will take a path from earth by our sun and then on to Alpha Centauri Will you be able to get to Alpha Centauri on time Procedure 1 Using the
41. S 5 TEXAS INSTRUMENTS Inser ans Lo 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 4 5 Equation operating system EOS 1 first Expressions inside 2 Functions that need a and precede the expression such as in 2nd trig 2nd log and some menu items 3 Fractions 4 Functions entered after the expression such as x2 and angle unit modifiers r 5 Exponentiation 2 and roots 2na v Note In Classic mode exponentiation using the key Is evaluated from left to right The expression 2 3 2 is evaluated as 2 3 2 with a result of 64 In MathPrint mode exponentiation using the key is evaluated from right to left Pressing 2 2 N 3 A 2 Is displayed as 2 with the result of 5D The TI 34 MultiView scientific calculator evaluates expressions entered with 42 from left to right in both Classic and MathPrint modes Pressing 3 calculates as 3 81 6 Negation 5 0 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Equation operating system continued 1 Permutations nPr and combinations nCr 8 Multiplication implied multiplication and division 9 Addition and subtraction 10 Conversions 2nd u 2nd f lt gt d 2nd g
42. TEXAS INSTRUMENTS INCORPORATED Menus continued Press onceto display the Data editor screen Press again to display the menu CLEAR CNVRSN t Clear L1 r Add Edit Cnvrs 2 Clear L2 2 Clear L1Cnvrs 3 Clear L3 3 Clear L2 Cnvrs 4 Clear ALL 4 Clear L3 Cnvrs 5 Clear ALL Press while you are in the Add Edit Cnvrs option of the CONVERSION menu to display this menu Ls LLI 2 L2 3 L3 2nd stat STATS t 1Var Stats 2 2 Var Stats This menu option dis plays after you 3 Stat Vars calculate 1 Var or 2 Var stats StatVars menu in 2X J3 SX Etc See Chapter B Statistics for a full list 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 3 Last answer ans Use Last answer ans to calculate 2nd ans 5 2 Press Dis play 5 7 2 2nd ans 524127 3 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Answer toggle Press lt gt to toggle the dis play result lt gt bet ween fraction and decimal answers and exact pi and decimal Press Display 2 3 21 31 o Sm lt gt nt 1 IT amt 13 r0r3652r lt gt Zm tin IT 21 1g J 2r l 70796326795 J clear var DO aaloe Sgae 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 3 9 40 TI 34 MultiView A Guide For Teachers
43. TI 34 MultiView A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Gary Hanson Aletha Paskett and Margo Lynn Mankus Illustrated by J ay Garrison About the authors Gary Hanson and Aletha Paskett are math teachers in the ordan Independent School District in Sandy Utah They developed several of the activities and assisted in evaluating the appropriateness of the examples inthe Howto use the TI 34 MultiView section of this guide Margo Lynn Mankus currently works in Mathematics and Technology Education at the State University of New York at New Paltz She has reviewed and updated the materials for the TI 34 MultiView and developed several activities for this guide Important notice regarding book materials Texas Instruments makes no warranty either express or implied including but not limited to any implied warranties of merchantability and fitness for a particular purpose regarding any programs or book materials and makes such materials available solely on an as is basis In no event shall Texas Instruments be liable to anyone for special collateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials and the sole and exclusive liability of Texas Instruments regardless of the form of action shall not exceed the purchase price of this product Moreover Texas Instruments shall not be liable for any claim of any Kind wh
44. U zna x Continued 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers B 3 Reciprocals continued Bnd Steam ship 5 ua 3 4 2nd lt gt ui 2nd x Luxury liner 5 UJ 16 3 2nd 4 gt UG 2nd v Time Portion S pent Complet ed S hips Building Per Hour M l 2 hrs Salling D s 71 3 4 Steam 27 hrs 73 3 Luxur 5 hrs UXUry 3 rs T B 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Angle settings and conversions 18 Keys If you specify an angle unit modifier from the 1 2nd angle displays the choice of two Angle menu the calculation is performed in that angle type but the result will be given in submenus that enabl t ify th enable ou bop aly ue the angle mode setting angle unit modifier as degrees 2 minutes seconds or radians r or convert units Notes using gt DMS You can also convert between The examples on the transparency masters rect angular coordinate form R and polar assume all default settings coordinate form P See Chapter 19 Polar and rectangular conversions for more DMS angles are entered as degrees information minutes and seconds Choose an angle mode from the mode screen You can choose from DEG default or
45. ae enter The area that will be covered by the Sprinkler is approximately 50 square meters clear var eu 4 5 recall reset OCOS D 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Powers roots and reciprocals Keys Notes 1 sguares the value e The examples on the transparency masters 2 calculates the square root assume all default settings 3 2nd v calculates the specified root x of To use A enter the base press A and then enter the exponent the value e In Classic mode exponentiation using A is 4 2nd vx calculates the reciprocal Bealls i evaluated from left to right The expression 3 A raises a value to a specified power 27372 is evaluated as 2 3 2 witha result of 64 e InMathPrint mode exponentiation using is evaluated from right to left The expression 27372 Is evaluated as 2 3 2 with the result of 5L DEG 237 512 5 TEXAS INSTRUMENTS e The result of calculations with A must be wit hin the range of the TI 34 MultiView calculator e The TI 34 MultiView calculator evaluates expressions entered with x2 from left to E9 SG right in both Classic and MathPrint modes 3 Mb Pressing 3 calculates as 32 81 e The base and the exponent may be either positive or negative Refer to Domain under Error Messages in Appendix C for restrictions
46. arest whole number and then return to floating decimal mode D 5 x COS 74 meters Press trig 2 JXCOs d D Go 74 i 3r8186779 OO mm D TMiisucezss CERES TE Continued QILIB A6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Cosine Continued ere 204 ia l Sos 0 4 mode The distance is approximately 1 met er 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers A Tangent Usethis formula to find the distance 2nd trig D from the light house to the boat Round your answer to the nearest whole number and then return to floating decimal mode 78 TAN2T D 78 la 2ndlltria z m 3 tani27 L25 0936194 27 DO Het sauna za Continued OAO Ej 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Tangent continued 2nd tri u i Lan le 15 3 0936194 PE o The distance from the light house to the boat Is approximately 53 m 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers A 9 Inverse sine Use this formula to find the angle of trig
47. atsoever against the use of these materials by any other party Permission is hereby granted to teachers to reprint or photocopy in classroom workshop or seminar quantities the pages inthis workthat carry a Texas Instruments copyright notice These pages are designed to be reproduced by teachers for use in their classes workshops or seminars provided each copy made shows the copyright notice Such copies may not be sold and further distribution is expressly prohibit ed Except as authorized above prior written permission must be obtained from Texas Instruments Incorporated to reproduce or transmit this work or portions thereof in any other form or by any other electronic or mechanical means including any information storage or retrieval system unless expressly permitted by federal copyright law Send inquiries to this address Texas Instruments Incorporated 7800 Banner Drive M S 3918 Dallas TX 75251 Attention Manager Business Services Il TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Copyright 19999 2000 2007 Texas Instruments Incorporated Except for the Specific rights granted herein all rights are reserved Printed in the United States of America MultiView MathPrint Automatic Power Down APD and EOS are trademarks of Texas Instruments Incorporated 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers Ill IV TI 34 MultiView A Guide For Teachers 2
48. ay 2 a 25 fe fk no jo ZE f lt gt d ue FaczE 2 20 sim Continued 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 6 5 Converting fractions and decimals continues Mode setting n d 2nd f lt gt d Press Dis play 2 B 25 da ck Te Bnd ta 22S 100 Eine 100 21NF Ta ac FS1ME FaczE 3 6 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Math menu 7 Keys NUM menu 1 displays two submenus MATH and abs x Displays absolute value of x NUM with various math functions Some round x digits Rounds x to specified functions require you to enter t wo values real number of digits numbers or expressions that equal a real ipart x Returns only the int eger of x number fpart x Returns only the fractional part of x MATH menu min x1 x2 Returns the minimum of two Icm n n2 Returns the least common values xland x2 multiple Icm of two values n1 and n2 max x1 x2 Returns the maximum of two gcd nl n2 Returns the greatest common values xland x2 divisor gcd of two values nl and n2 remainder n1 n2 Returns the remainder X Calculates the cube of x resulting from the division of two values a 34 x Calculates the cube root of x whole number n1 divided by a positive whole number n2 Notes e The example on t
49. books In the 2 spaces 4 C2 B C D AB ano mow BA AC AD count as only 1 BA BC BD combination S CD DA Jo do O Press 4 pb k trig d i set op seto int u f u A o M SIE z 2 M x lt DEG clear var Q gt n Sa reca SS There are 6 unique combinations of 2 books chosen from 4 different books Dis play TL TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Permutation nPr Four different people are running ina race Usethis formula to find how many different Ist place and 2nd place outcomes can occur AB and BA AC AD count as 2 BA permutations S CB CD Press Display 4 enter 2 enter There are 2 different permutations for the Ist and 2nd place results of the race m 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers Factorial State license plates contain different numbers and letters to create a unique Identification number for each car Make your own license plates each containing a 4 digit number Using the digits 13 7 and 9 without repetition how many 4 digit numbers can you form Youcanuseatreediagramtocreate the following list of license plates Are you sure you found them all Hint Find 4 B7
50. cimal number and display the integer and fractional part of the number Press Display math 3 En 7 U 5 8 D enter math 4 7 U 5 8 D enter 7 U 5 8 2nd f lt gt 4 0 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Minimum and maximum Using max put the following list of numbers in ascending order Continued 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 1 Minimum and maximum continued Using min check if this statement is true or false 1 5 15 lt 5 O Press Display nin 5 75 52 D L 15 2nd 5 1 7 D 1 5 Q 5 5 lt gt IS true A clear var recall o reset G 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Least common multiple Add i 2 using Icm to find the least common denominator Verify your ans wer Press Display lem 43867 2nd a US sean tes r lya A 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 3 Greatest common divisor Find the greatest common divisor gcd for the numbers 27 and 36 Then use gcd to simplify a to its lowest te
51. combination of numbers operators or menu items and their arguments Recalls and displays a stored operation Displays the following menus with various math functions MATH NUM I Icm I abs 2 gcdl 2 round p 3 iPart 4 4 fPart 5 min 6 max 7 remainder Displays the following menus LOG calculates common logarithm base 0 functions LN calculates natural logarithm base e where e 2 718 28 18 28459 functions LOG LN I log r In 2 10 A 2 e 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 Ill Explorer Plus A Guide For Teachers A 3 A Quick reference to keys continued KEY FUNCTION Accesses variables Press this key multiple times to choose x y z t a b or c You can also use to recallthe stored values for these variables In the Data editor is a shortcut that takes you stralght to the author line to enter or edit a conversion 2nd off Turns off the calculator and clears the display Turns on the calculator Displays the following menus PRB lets you calculate permutations combinations or factorials RAND lets you generate a random number or random integer wit hin parameters PRB RAND I nPr I rand 2 nCr 2 randint 3 2nd recall Recalls the stored values to the display 2nd reset Displays the Reset menu Reset I No 2 Yes Press 1 No to return to the previous screen without resetting the calculator Press 2 Yes to reset the calculator The message MEMORY
52. cursor to the top entry of the active column in Data editor or to the previous entry on the Home screen Press again to move the cursor to the oldest entry on the Home screen In fractions press to pastea previous entry to the denominator See Chapter 6 Fractions for more information moves the cursor to the first blank row of the active column in Data editor or below the last entry on the Home screen lets you set the angle numeric decimal display and fraction modes Press to choose a mode and to select it Press or 2nd auit to exit the mode menu The default mode settings are shown DEG KAL u SCI l zhLe res TA TAPER INT DEG ul AUTOS TAP 2nd reset displays the Reset menu e Press 1 No to return to the previous screen without resetting the calculator e Press 2 Yes to reset the calculator The message MEMORY CLEARED is displayed 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 2 TI 34 MultiView basic operations continues e Resetting the calculator Returns mode settings to their defaults degree angle mode DEG normal numeric notation NORM floating decimal notation FLOAT MathPrint display mode and fraction modes Un d and MANSIMP Clears memory variables pending operations entries in history statistical data stored operations and ans Last answer Notes e The examples on the transpa
53. dents reset the calculator Press 2nd reset and then select 2 Yes Conventions used in the teacher guide e Inthetext brackets around a keys symbol name indicate that the key Is a second or alternate function For example 2na v e Inthetext nis assumed to bean integer and xa real number unless otherwise specified How to order additional teacher guides To place an order or to request information about Texas Instruments TI calculators use our e mail address ti cares ti com visit our home page education ti com or call our toll free number 800 TI CARES 1800 8 42 2737 2007 TEXAS INSTRUMENTS INCORPORATED Vil TI 34 MultiView A Guide For Teachers Home screen Onthe Home screen you can ent er mat hemat ical expressions and functions along with ot her instructions The answers are displayed on the Home screen The TI 34 MultiView screen can display a maximum of four lines with a maximum of 16 characters per line For entries and expressions of more than 16 characters you can scroll left and right and to view the entire entry or expression When you press 2nd quit the TI 34 MultiView calculator returns you to a blank Home screen Press and to view and reuse previous entries In the MathPrint mode you can enter up to four levels of consecutive nested functions and expressions which include fractions square roots exponents with Vand x If
54. e in the list that contains the Ce 2 i conversion Edit the conversion and press U gt Ca to accept the changes Press to delete the conversion Pressing backs up screens within the BOSSE data editor C CO C C Pressing 2nd quit exits the Data editor and returns you to the Home screen e Inthe Data editor scientific notation displays as E to conserve space but still show the magnit ude of a number ans 3 D Example 2 x 10 appears as 2E3 2007 TEXAS INSTRUMENTS INCORPORATED TI 30 XS MultiView A Guide For Teachers 9 fractions to decimals ind the decimal represent ation of 1 a and From this pattern can 2nd f lt gt d you predict the decimal representation for E Check your answer using the lists on the calculator Press Display data 1 4 9 2 a 9 3 a 9 data 1 data 1Ena fara Input the rest ofthe fractions inLIto test the pattern Notice L2 updates Sa as you enter in L1 The pattern shows OGOGO 9 8 TI 30 XS MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Converting fractions to decimals continued that the decimal representation is a repetition of the number in the numerator for ninths Entering 2 2 6 O statement Notice the last digit in the list is rounded s
55. e information mode as necessary R o P Menu R gt Pr Converts rectangular coordinate to polar coordinate r R gt P Converts rectangular coordinate to polar coordinate 9 P gt Rx Converts polar coordinate to rectangular coordinate x P gt Ry Converts polar coordinate to rectangular coordinate y 5 TEXAS INSTRUMENTS gt set 5 BJ AD 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers A l Polar to rectangular Convert the polar ordered pair 2nd angle 7 30 to rectangular coordinates y 4 3 2 1 Press 2nd angle PrRet 7 303 1 2nd 5 30 6 06217 7826 enden ON 2nd 30 PR Z Sa The rectangular ordered pair is x y 6 06 21 78 26 3 3 SJO C CJL LY U 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Trigonometry 20 Keys Notes 1 2nd trig displays a menu of all trigonometric The examples on the transparency masters functions sin cos tan sin cos tan assume all default settings sin calculates the sine Before starting a trigonometric calculation be sure to select the appropriate angle mode setting degree or radian See Chapter 3 Angle settings and convers
56. e ment o Measurements 5 eggs 1 3 C 3 teaspoons tsp 1 tablespoon Tbsp 16 Tbsp 1 C Other ingredients 1 A AN i 2 Using the TI 34 MultiView calculator find the L a total volume of the recipe ingredients in cups Co 1 1675 CUDS 3 Next convert the total number of cups Into guarts 477 quarts 4 Would the ingredients fit in the 5 quart bowl Yes Extension Ask the students to find other recipes at home and add up the list of ingredients to determine how large the bowl would need to be U TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED My favorite recipe name ______ fractions me Problem You are about to make your favorite cookie recipe You check the bowls in the kitchen and the only one you can find is a 5 quart bowl Will you be able to make the cookies in that bowl The recipe is 2 cups brown sugar 25 cups white sugar 15 cups butter 7 cups shortening 5 eggs 1 teaspoon salt 2 teaspoons baking powder 2 teaspoons baking soda 1 teaspoon vanilla 45 cups flour 53 cups oatmeal Procedure 1 Using pencil and paper convert eggs and teaspoon measurements into tablespoons and then into cups Hint 3 teaspoons tsp 1 tablespoon T bsp 16 Tbsp 1 cup C 4 C 1 quart gt 1 egg C Ingredient Cup Measurement a 5 eggs CUPS Other ingredients Cups Salt baking powder baking soda vanilla 2007 TEXAS INSTRUMENTS INCORPORAT
57. ecord as before Have them enter the data into the calculator again and calculate the average heart rate after jumping jacks Compare to the other 2 averages Instruct students to make a bar graph of the 3 sets of data they collected Ask students Howarethe bar graphs the same e Howarethey different e sthedata grouped the same or is it more soread out in one graoh compared to another n should equal the total number of students sampled For this example 1522 Press to X to see the average heart rate X 6227272727 Press until you see Zx x 1370 Note The numbers show the results for the example described in this activity Your students results will vary depending on the size of the group and the heart rate readings 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Heart rates Name Ivariable statistics mt Problem What do you think the average resting heart rate is for someone your age What about after exercising Procedure 1 Usethis table to record your class or group data resting Heartbeats per minute Frequency e 2 What is the class group average 3 Answer the following questions from the data a What is the total number of heartbeats for the minute Write the symbol and the number from the calculator b What is the total number of student s heartbeats entered Write the symbol and the number from the calculator c
58. eration keys functions or complex fractions in the numerator or denominator In MathPrint mode you can enter variables x y z t a b and c inthe numerator and denominator of a fraction In Classic mode fractions with 4 do not allow variables e In Classic mode and Data editor use along with Q and to perform complex division problems e To paste a previous entry in the denominator place the cursor in the denominator press to move the cursor to the history scroll to the desired entry and then press to paste the entry to the denominator Entries pasted in the denominator must be valid entries for fractions e To paste a previous entry in the numerator or unit place the cursor in the numerator or unit press to scroll to the desired entry and then press to paste the entry to the numerator or unit Entries pasted inthe numerator or unit must be valid entries for fractions 6 0 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Fractions At the party you ate 2 of the 1 10 Sausage pizza The pizzas arethe same size If you put the pieces together how much of one whole pizza did you eat pepperoni pizza and of the 1 4 10 enter You ate of the size of one whole D 5 AAD pizza That is almost an entire pizza 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For
59. he transparency master assumes all default settings S m AR e To usethe functions select the math TI 3A multiview function from the menu and then enter the value e 2nd must separate two values 5 TEXAS INSTRUMENTS e Usel to close all functions Inser S GS gt Ug 7 gt Cr D op2 BABO K dr DOC 5 DE o 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 6 Absolute value Find the absolute value of 35 and then validate the answer using the calculator 35 Press Display MATH i abs round 11 35 enter Evaluate the expression 6 4 9 x3 and then validate the answer using the calculator Press Dis play 0 OR py 4 5 9 x 3 enter 6 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Rounding a number Round mto the nearest thousandths place Press Display 2 2nd 3 Found I M 3 147 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 6 5 Integer and fractional part Display the integer and fractional part of 72 Then change 12 toa de
60. input an x value Lets you store values to variables Press sto Jto store a variable and press to select the variable to store displays the following menu of variables xyzt abc Press to store the value in the selected variable If this variable already has a value that value is replaced by the new one Completes the operation or executes the command 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 Ill Explorer Plus A Guide For Teachers A 5 A Quick reference to keys continued A 6 TI 34 Ill Explorer Plus A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Dis play indicators B INDICATOR MEANING 2ND 2nd function FIX Fixed decimal setting See the Mode section in Chapter 1 TI 34 MultiView basic operations and Chapter 8 Decimals and decimal places SCI Scientific notation See the Mode section in Chapter 1 TIl 34 MultiView basic operations DEG RAD Angle mode degrees or radians See the Mode section in Chapter 1 TI 34 MultiView basic operations L1 L2 L3 Displays above the lists in data editor x The TI 34 MultiView calculator is performing an operation Ty Anentryis stored in history before and or after the active screen Press and to scroll 4 gt An entry or menu displays beyond 16 digits Press or to scroll 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers B Hi 1 B 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED
61. ions The sin calculates the inverse sine calculator interprets values according to the current angle unit mode setting cos calculates the cosine tan calculates the tangent cos calculates the inverse cosine tan calculates the inverse tangent DJ ends a trig function S ABA marie S 5 TEXAS INSTRUMENTS 268 A GF 7 x set op set op2 Go DOBBS d 2007 TEXAS INSTRUMENTS INCORPORATED 11 34 MultiView A Guide For Teachers 43 Sine Use this formula to find the length of trig the ramp D Round your answer to the nearest whole number and then return to floating decimal mode L5 D sin 12 meters Press IL gt W 2na trig 1 SERTA 214601517 P OOO zu P pl seo Continued 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Sine Continued 2nd trig The length of the ramp is D 7 m rounded to the nearest whole number M MB OE 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers A 5 Cosine Usethis formula to find the distance D from the base of the ladder to the ET house Round your answer to the ne
62. l length The FRQ value in Var statistics lt 0 The conversion does not contain a list name L1 L2 or L3 or the conversion for a list contains its own list name for example a conversion for Licontains L1 You attempted to enter a function for example L1 3 The command contains a syntax error or has misplaced functions arguments parentheses or commas If using 4 try using The stored operation oplor op2 is not defined TI 34 MultiView A Guide For Teachers C Error messages continued MESSAGE MEANING MEMORY LIMIT The calculation contains too many pending operations more than 23 If using oplor op2 you attempted to enter more than four levels of nested functions using fractions square roots exponents with xv and x MathPrint mode only LOW BATTERY Replace the battery Note This message displays briefly and then disappears Pressing does not clear this message TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Texas Instruments support and service D For general information Home Page education ti com KnowledgeBase and education ti com support e mail inquiries Phone 800 TI CARES 800 842 2737 For U S Canada Mexico Puerto Rico and Virgin Islands only International education ti com international Information For technical support education ti com support KnowledgeBase and e mail inquiries Phone not toll free 972 91
63. lear the entry Press Dis play 2595 i 1393 OO Fa Clear to right Clear entry 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 43 44 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Basic math 3 Keys Notes 1 adds The examples on the transparency masters assume all default settings 2 subtracts m m TheTl 34 MultiView calculator allows 3 x multiplies implied multiplication e Do not conf with allows 5 completes the operation or execut es aan use 5 JE Subtraction the command l e Use parentheses to group the negation 6 lets you enter a negative number sign with the number if needed 7 appends the sign to a number Example 2 4 and 2 4 8 2nd gt changes a number to a percentage Results of percent calculations display according to the decimal notation mode setting angle log stat i set op1 set op2 int trig x int 4 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 4 5 Add subtract multiply divide equals Find x 2 54 6 16 x21 6 2 2 x 5 6 Press Dis play A i 6 16 x 21 enter 78 2 en
64. n to both the numerator and b 9 5 9 denominator then press enter This allows students to use mental math 4 2 to simplify the fraction Students C 6 3 repeat this process until the fraction is simplified No down arrow is 9 1 displayed Press enter The simplified fraction and the factor used for the simplifcation are displayed Students may need to press more than once to get the fraction to its lowest terms Students can write down all factors used in the simplification to find the greatest common factor of the numerator and denominator NIA o NS 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 33 My favorite recipe fractions continued Activity Present the following problem to students You are about to make your favorite cookie recipe You check the bowls in the kitchen and the only one you can find is a 5 quart bowl Will you be able to make the cookies in that bowl Here is the redpe 23 cups brown sugar 2 teaspoons baking powder 25 cups white sugar 2 teaspoons baking soda 15 cups butter 1 teaspoon vanilla cups shortening 45 cups flour 5 eggs 53 cups oatmeal 1 teaspoon salt What Is the total volume of the recipe ingredients in cups In quarts Procedure 1 Before starting on the problem have the students look at the recipe to find ingredients where the measurement is not given in cups and prepare them to convert these measurements into cups Some s
65. ncy 62 6 65 4 6 Press to view the 1 Var stats 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers Heart rates variable statistics cont 4 Check the statistics calculations After students display Z x Sigma x explain that Z x Is the sum Follow these steps 1 View the statistical data of all the heart rates Ask students e How many heartbeats were entered from all of the student in one minute This is Xx e How many students were entered This is n e How can we calculate the average heart rate ThiSsisx 62 27272727 e stheaverage heart rate higher or lower than you expected Now we will see the effect of some exercise on heart rate To accommodate various student s needs pair students with other students who will be able to complete the task Also consider designing some task that an individual student can safely undertake to raise their heart rate Tell students fat any point during this portion of the activity you experience pain weakness or shortness of breath stoo immediately H ave the students run in place for 2 minutes and then give them these instructions Time your pulse for 1 minute Record your heart rate as before Enter the data into the calculator Compare the average heart rate after running with the resting heart rate o n 9 Now have the students do jumping jacks for 2 minutes Instruct them to time their pulse for 1 minute again and r
66. nerates a random number bet ween 0 and 1 randint Generates a random int eger bet ween 2 integers A and B where A lt Randint lt B S IBA marie S 5 TEXAS INSTRUMENTS Inser 2 S ZE Be oan Cot Cu a Cr Ge Gr Ga 2000 G DE ADO M Notes The examples on the transparency masters assume all default settings A permutation is an arrangement of objects in which the order is important as ina race A combination is an arrangement of objects in which the order is not important as ina hand of cards A factorial is the product of all the positive integers from 1to n where n is a positive whole number lt 69 You can store sto an integer to rand just as you would store values to memory variables If you wish to control the random numbers generated by all calculators in your class have all students storethesame number to rand the sequence of random numbers is then the same on all of the calculators if desired For randint use a comma to separate the 2 numbers that you specify 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers I Combination nCr You have space for 2 books on your bookshelf You have 4 books to put on theshelf Usethis formula to find how many ways you could place the 4
67. o 0 777777777 Is Shown rounded to 0 7778 Remember that 0 777777711 1s written as 0 7 and finally validates the 2007 TEXAS INSTRUMENTS INCORPORATED TI 30 XS MultiView A Guide For Teachers 9 5 Converting fractions to decimals to percents Thesame quantity can have different number representations nd f lt gt d Sam and his friends ate some cake 2nd gt at his birthday party 1 Sam ate 1 of the cake Maria ate i of the cake Leila ate of the cake Find the amount of cake each person ate in the form of a decimal and a ercent Was there any cake left at off et 7 a pes birthday ab TI 30XS MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Converting fractions to decimals to percents Use the percent form of the amount of cake eaten to justify your answer Pnd f 4 d Press Display 2nd gt data 11 4 tk data 1 data 1 2nd f lt gt d data 1 Gata 1 Gnd enter Since 25 25 50 100 Sam and his friends atetheentire cake c AIGLE recall MOBDBE Samoo 2007 TEXAS INSTRUMENTS INCORPORATED TI 30 XS MultiView A Guide For Teachers 10 l 10 2 TI 30 XS MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Statistics Keys 1 lets you enter data points x for EVar 2 stats xand y f
68. or 2 Var stats See Chapter 2 Data editor and list conversions for more details on data 2na stat displays a menu from which you can select Var 2 Var or StatVars FVar Analyzes data from 1set of data with 1measured variable x Analyzes paired dat a from 2 sets of data with 2 measured variables x the independent variable and y the dependent variable This option appears only after you have calculated Ivar or 2 var Stats Displays the menu of 2 Var StatVars variables with their current values ZY TBamuniview S Si TEXAS INSTRUMENTS inser set De Se X AA CO J gt N Z f N Vy N Es 2 n n Number of x or x y data points xory Mean of all x or y values Sxor Sy Sample standard deviation of x Or y oxoroy Population standard deviation of xor y 2 xor y Sumof all x values or y values E x or Z y Sum of all x values or y values 2 xy Sum of the product of x and y for all x y pairs in the 2 lists a Linear regression slope b Linear regression y int ercept r Correlation coefficient x 2 var Uses a and b to calculate predict ed x value when you input a y value y 2 var Uses a and bto calculate predicted y value when you input an x value Notes B Sta
69. or these variables 2nd clear var clears all variables 2nd recall displays a menu of the variables x v z t a b and c and lets you view their stored values before pasting to the display 5 TEXAS INSTRUMENTS 222 S US f lt rd BBA 28260 Cr Ce Gn Can CD d ans Lo 11 Notes The examples on the transparency masters assume all default settings You can store a number or an expression that results in a number to a memory variable When you select a variable using x2 the variable name x y z t a b or c is displayed The variable name Is inserted into the current entry but the value assigned to the variable is used to evaluate the expression When you select a variable using 2nd recall a menu is displayed showing the value of the stored variables Select the variable by pressing the corresponding menu number The value assigned to the variable is inserted into the current entry and used to evaluate the expression Resetting the calculator 2na reset clears all memory variables 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 8 5 Store variables Following are your scores for tests sto gt and homework in your math class 777 abc Test scores 96 6 85 Homework scores 92 83 97 86 1 Find
70. orm AUTOS IMP The calculator automatically simplifies fractional results to the lowest terms Q gt clear var wo 1 2D OTO 3 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Menus Certain keys display menus prb 2nd angle 2nd log 2nd trig math 2nd reset 2nd recall 2nd clear var data data and 2nd stat Press and toscrolland select a menu item or press the corresponding number next to the menu item To return to the previous screen without selecting the item press clear To exit a menu or application and return to the Home screen press 2nd quit The Home screen is blank scroll up to view history Sample menus 2nd angle PRB RAND DMS R oP I nPr I rand p gt E R Pr 2 nCr 2 randint 2 2 R PE 3 3 7 3 P gt RX 4 r 4 P RY 5 gt DMS 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 3 5 Menus continued Endllio Gndfrig LOG LN TRIG L log L In I sin 2 0 2 e 2 cos 3 tan 4 sin 5 cos 6 tan MATH NUM I Icm I abs 2 gcdl 2 round 3 3 3 IPart 4 SN 4 fPart 5 min 6 max 7 remainder 2nd reset 2nd recall 2nd clear var Res et Recall Var Clear Var t No xs I Yes 2 Yes 2 y 2 NO 312 4 t D a 6 b ECS 3 6 TI 34 MultiView A Guide For Teachers 2007
71. ow close will upiter come to Earth Press Dis play A 1CT8 8 ae G 0 1015 dead D 8 mode BD FAA DABB samme J upiter and Earth could be Le ji k 920 000 000 1 NED 6 3 x 10 kilometers apart 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 5 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Fractions Keys 1 2 lets you enter mixed numbers and fractions Allentries must be an integers and the denominator can not be zero To enter a mixed number enter an integer for the unit and then press to enter a numerator In MathPrint mode pressing ua before entering an integer displays a fraction template lets you enter a simple fraction Pressing a before or after a number can result in differing behavior In Mat hPrint mode entering a number before pressing usually makes that number the numerator CDC Ee gt CO a gt Ug Ken N f N Clear var PEN Z DE I 6 in MathPrint mode can also be used for more complex fractional computations that include operators and other functions by pressing la before you enter the numerator In MathPrint mode press bet ween the entry of the numerator and the denominator In Classic mode press bet ween the entry of the numerator and the
72. r fractions using the 3 key Shown is an example of entering the family of fractions with the denominator of 8 Have students enter the conversion of fraction to decimal to validate their work With the highlighted area in L2 press to see a menu Add the conversion L1 gt f d to define L2 as the decimal representation of L1 Add input to L1 to see L2 update automatically with the output value of the conversion Scroll to an open entry space in L1 Students can enter more fractions as a time saver The students can create a running list of all fractions in the activity instead of setting up the calculator separately for each table To see the conversion again scroll to L2 and press 0 1 Before starting the group Investigation on the student activity sheet have the students clear any data In the lists from previous use Procedure 1 Table A gt gt 0 5 Table B 0 25 1 1 505 5 100 7075 Table C 0 2 04 06 08 Follow these steps to enter data in the data editor Press to start the data editor Enter 14 86 2G 39 3 3 8 Continue entering data into the table Follow these steps to enter a conversion from fraction to decimal Press 0 to go to L2 Press 0 1 to add a conversion 3 Press 1 to choose LI Press 2nd f lt gt d enter m E DEG Follow these steps to add data to LI and observe L2 automatically update 1 Press
73. rency masters assume all default settings e can be used In an entry before pressing enter Pressing lt gt more than once In a current entry may result in a Syntax error To achieve the desired result you can Enter the expression press lt gt enter and then press lt gt again after the result is displayed Enter the expression and press enter and then press lt gt as many times as desired to toggle the display and view the alternate format of the answer e When or gt appears inthe display the entry line contains more characters to the left or right e Press after the Automatic Power Down APD feature activates to restore power The display pending operations settings and memory are retained 2 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Second off arrows enter e Enter 46 23 2nd off O Change 46 to 41 Change 23 to NO 26 and complete the operation 2 3 e Enter and complete the 579 P operation Turn the TI 34 MultiView off and back on The Home screen Is blank scroll up to view history Press Dis play 40 E 46 23 B 23 00001 6 enter 2H gt 3 s 10 enter SOOS 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 2 9 Reset Reset the calculator 2nd reset Press
74. rms Press Dis play mode V mn 0 THE Gidea 2 god 27 36 9 2 1 2nd 36 21 19 36 9 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Cube and cube root Calculate 34 and 3 39304 Press Dis play 34 math 3 34 34304 4 33304 Id 2 39304 34 Notice that 3 34 is 34 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 Remainder The night of the school dance The Snowball Ball 179 students will attend There are round tables that seat 8 students each There are just enough tables for all of the student s Will all of the tables be filled How many tables are set up Press Display 0 U remainderi179 3 179 2nd 8 3 Not all of the tables will be filled One table will have only 3 Students 1 9 2nd int 8 There are 23 tables set up There are 22 full tables and one table with 3 students SD ODDS 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Decimals and decimal places O Keys Notes 1 enters a decimal point e The examples on the transparency masters 2 lets you set the number of decimal assume all default settings places Press and then tothechoice Press toreturn
75. s 9 Next stop fraction terminal continued them later formulate a rule about when a fraction will be expressed as a terminating or repeating decimal 7 These fractions will be represented as a repeating decimal number 8 9 10 Students will identify terminating and repeating decimals from their tables Guide them to see that if the prime factorization of the denominator of the fractions when in simplest form have only factors of 2 and or 5 then the fraction will be represented as a terminating decimal Otherwise the fractions will be represented by a repeating decimal 20 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Next stop fraction Mame terminal Date Problem In this activity you will explore the decimal forms for familiar fractions Fill in the tables below and see if you can write a rule to predict the type of decimal number that is the same as your fraction Procedure 1 Fill in the following tables Using mental math or pencil and paper change each fraction to its decimal representation TABLE A TABLE B TABLE C IN Ble Il Il H H sl Sl Uw IN Ole Il Il Il ol el Sl BIS Il S Ul 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers Next stop fraction name terminal ne 2 Useldata on the TI 34 MultiView calculator to fill in the following tables Change each fraction to its
76. s a parenthetical expression Closes a parenthetical expression Calculates the reciprocal Squares the value Enters the value of pi rounded to 10 digits 3 14592654 Enters a decimal point Indicates the value is negative Raises a value to a specified power Turns on the 2ND Indicator and accesses the function shown above the next key that you press Toggles the answer bet ween fraction and decimal and exact pi and decimal Lets you set the angle numeric decimal display and fraction modes Divides two positive integers and displays the quotient and the remainder Exits applications and returns you to the Home screen Adjusts the contrast 2nd 9 lightens the screen 2nd o darkens the screen 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 Ill Explorer Plus A Guide For Teachers A A Quick reference to keys continued KEY 2nd angle J 3 B N N gt gt Q o m M LI R L N 5 o ee ely S 2nd a gt Ua era gt 2nd ans FUNCTION Displays the following menus DMS lets you specify the unit of an angle R eP lets you convert rectangular coordinates to polar coordinates or vice versa DMS RoP ES 1 R gt Pr 2 2 R PE ca 3 P gt RX 4 4 P RY 5 gt DMS is a Shortcut key to enter a number in scientific not ation format Calculates the square root Appends the sign to a number Results display according to the decimal notation mode se
77. shipping each gift 2nd recall Press Dis play DSE is as HE jou us Pr 40 3 3 40 3 HU 1 as L 10 et 103 Z 235 Store A charges 8 30 and storeB charges 7 95 StoreB charges less to ship the gift that weighs 4 5 SDDS pounds OCD 9 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Store recall continued sto gt 3 2 sto 2nd recall DEG 7 1 10 7 95 Du LT iat 40 6 48 Store A charges 6 48 and store B charges 6 52 StoreA charges less to ship the gift that weighs 3 2 pounds clear var 5 GI 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 9 3 Store recall continued Shop Purchases Qty Cost sto gt A shirts 2 23 98 ea ET B ties 3 7 98 ea C belt 1 6 98 2nd recall Suspenders 1 9 98 How much did you spend at each outlet shop and how much did you spend altogether Press Press Display DEG 2x13 9844 27 96 3x7 0034 DE dd DEG 2257 Fr 26 34 Continued 9 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Store recall continue 2nd recall Press Dis play 2nd recall ane EL 27 96423 TS 2nd recall 2nd recall You spent 27 96 at shop A 23
78. t and DMS last completes all operations and closes all open parent hes es 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 l Order of operations 1 2 x3 Press Display 11 2 x 3 1 2 x3 Z Press Display 1 dg 2 x 3 1 2 x3 Press Dis play U 1 20 x 3 enter 5 2 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Order of operations continued d5 s 4 1 3 Classic mode Press Display i 4 1 3 MathPrint mode Press Dis play OOO clear S Bee 1275 gt bl 4 1p ld 3 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 3 5 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Numeric notation 5 Keys Notes 1 lets you choose from the following e The examples on the transparency masters numeric notation menu assume all default settings NORM Restores standard mode floating e You can enter a value in scientific notation decimal regardless of the numeric notation mode SCI Turns on scientific mode and displays setting For a negative exponent press results as a number from 1to 10 before entering it 1 lt n lt D times 10 to an integer Results requiring more than 10 digits are power automatically displayed in scientific 2 is a shortcut key to enter a number in not ation scientific nota
79. tVars menu The examples on the transparency masters assume all default settings You can change data points by going to the Data editor navigating to the data element and changing the value entered Note You must then recalculate 1 Var or 2 Var stats to display the StatVars option Non int eger frequency elements are valid This is useful when ent ering frequencies expressed as percentages or parts that add up to 1 However the sample st andard deviation Sx is undefined for non int eger frequencies and Sx Error is displayed for that value All other statistics are displayed 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 10 3 Entering Evar stat data Five students took a math test Using their scores enter the data points 85 85 97 53 77 Use Llfor the scores and L2 for the frequency of the scores Press Dis play 0299 933 2 1 1 1 clear var 7 Q gt Sgap 10 4 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Viewing the statistics Find the number of data points n 2nd stat the mean x the sample standard deviation Sx the population Standard deviation ox the sum of the scores x and the sum of the Squares Z x Press Display fand stat i Yar Stats cower Stats lo 1 VAR STATE DA TH HE Lz L3 FRA Li F4 L3 CALC
80. ter P J 5 4 6 46 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Negative numbers The temperature in Utah was 3 C at 6 00 a m By 0 00 a m the temperature had risen 2 C What was the temperature at 10 00 a m Press Dis play gt 3 R 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 4 Percent rh act How much does 2nd gt k i5 m 80 15x 80 Mike saves per week Crystalsaved gt of her last paycheck What per cent of her paycheck did she save Press Display 38 Bnd gt Crystal saved 37 5 of her last paycheck off reset y ans 48 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Order of operations and parentheses 4 Keys Notes 1 opens a parenthetical expression e The examples on the transparency 2 closes a parenthetical expression masters assume all default settings e Thetransparency master showing the Equation Operating System EOS demonstrates the order in which the TI 34 MultiView calculator complet es calculations e Operations inside parentheses are performed first Use to change the order of operations and therefore change the result Example 1 2 x3 7 1 2 x3 9 ZY TBamuniview
81. tion tormat For the decimal notation mode refer to Chapter 8 Decimals and decimal places These modes NORM and SCI affect only the display of results 5 TEXAS INSTRUMENTS C GF ED gt d CD in X oe V4 A SNS V4 lt A gt J an LJE 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers 5 5 Floating decimal and scientific Enter 2543 which will be in floating decimal notation and normal numeric notation both default settings in mode Alternate the display result bet ween normal and scientific notations by changing settings on the mode screen Press Dis play 2543 i EMA izruseze 1 2543 107 7 1 2543x104 recall off reset y ans 5 6 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Scientific notation With the Tl 34 MultiView calculator in Norm and MathPrint modes both defaults enter the following problem in scientific notation using the Key The Earth is approximately 15 x 10 kilometers from the Sun J upiter is approximately 7 8 x 10 kilometers from the Sun Assuming the orbit s of the planets are circular and the planets are on the same side of the sun h
82. to of decimal desired Press to select it standard not ation floating decimal FLOAT Sets floating decimal standard The TIl 34 MultiView calculator not ation automatically rounds the result to the 0 9 Sets the number of decimal places number of decimal places select ed For displayed FIX displays when a example when the decimal is set to 2 places decimal mode is set from 0 9 0 147 becomes 0 15 when you press enter The TI 34 MultiView calculator also rounds or pads resulting values with trailing zeros to fit the selected setting For example when the decimal is set to 5 places 0 147 becomes 0 14700 when you press enter e Resetting the calculator clears the decimal setting and resets to the default FLOAT e The decimal setting does not affect the internal precision of results It affects only the way results are displayed 5 TEXAS INSTRUMENTS Cea Ce ee S BBA C Cot Cu Gn Ce Ger Cor Cot CE BOD 5 me Ome 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers Decimal Round 2 345 to the hundredths place to the tenths place and then to floating notation Press Dis play D 345 ne 12 345 12 445 Fini DEG RAD GRC gt CI EHG T oe acai CLASSIC n
83. to Aloha Centauri on time Procedure 1 Using the TI 34 MultiView calculator find the total distance you need to travel 25x 103 4 9 3x 10 25000093 x 10 miles 2 Next find out how long it will take you to travel the distance distance traveled 1 light year Follow these steps 1 Press 2 5 130 9 3 7 enter 3 13 25000093 x 10 41666321672 je i 2 5000093x10 6x 10 2 Press 2nd ans E 6 3 Can you make the trip in the allotted time of 12 enter al 4 166682167 Yes if your ship really could travel at the speed of light Extension Depending on the problem remind Light travels at 186 000 miles per second A light year is the distance that light can travel in a year H ave students convert one light year to miles traveled per light year 186 000 miles 60sec 9 60min z 24hrs 9 365days _ 5 87 x 10 miles lsec Imin lyear year lhour lday We approximate this value using 6x102 miles in 1 light year in this activity Answer to student extension It will take the starship approximately 15 years to get to Delta Centauri students to include parentheses where needed to ensure the intended order of operations Example In Classic mode 2 5000093 x 10113 6 x 10 12 must include the parentheses 1n order to get the correct result Students can learn more about this topic by visiting NASA web sites on the Internet 4 11 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORP
84. tting Changes a number to a percent age Enters a comma Calculates the specified root x of the value Lets you enter mixed numbers and fractions Press us bet ween the entry of the unit and the numerator Lets you enter a simple fraction In MathPrint mode press bet ween the entry of the numerator and the denominator In Classic mode press bet ween the entry of the numerator and the denominator Converts a simple fraction to a mixed number or a mixed number to a Simple fraction Simplifies a fraction using the smallest common prime factor or a factor you choose a positive integer Converts a fraction to its decimal equivalent or converts a decimal to its fractional equivalent if possible Recalls the most recently calculated result displaying it as ans Clears characters and error messages on the entry line A 2 TI 34 Ill Explorer Plus A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Quick reference to keys continued A KEY FUNCTION 2nd clear var log Clears all memory variables Lets you enter the statistical data points for EVar stats and 2 Var Stats Press once to display the dat a editor screen Press again to display the Clear and Conversion menus Lets you access list names when inthe Conversion menu Deletes the character at the cursor Completes the operation or executes the command Lets you insert a character at the cursor Lets you store an operation any
85. u are visiting Beijing China Your 2nd angle GPS gives your location latitude and longitude as 39 55 N 16 20 E Change your location information to degrees minutes and seconds Press Dis play 39 LJ 35 39 55060 2nd angle 390330 2nd angle 116 20 2nd angle 2nd angle Your location in Beijing China is 39 33 N 16 D E clear var Q gt c EO MEE AB B 8 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Degrees and radians Calculate the following 2nd angle cos 18 0 degrees cos mradians Remember 180 degrees nradlans Press Dis play 2nd trig 2 oa I 18 0 2nd angle 10 2nd trig Z cos 1809 2nd angle 4 costm 1 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers B 5 40 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Polar and rectangular conversions 19 Keys 2 2nd enters a comma 1 2nd angle displays a choice of two submenus Not that lets you convert rectangular ores coordinates x y to polar coordinates r 9 e The example on the transparency master or vice versa You can also specify the angle assumes all default settings n modifier See Chapter b Angle settings Before starting calculations set the angle and conversions for mor
86. with this investigation allow calculator use but only if they are not reasonably able to think of the necessary calculation Later they will use the calculator to validate their work continue the investigation and look for patterns Activity The first set of fraction families has denominators whose factors include only powers of 2 powers of 5 or some combination of these factors of 10 The students will build tables by hand to see the decimal representation of the fractions They should notice Hint Before you begin press that these fractions are also represented by and make sure that the terminating decimals TI 34 MultiView calculator is set to the default mode settings The second set of fraction families has denominators that do not have 2 or 5 as a factor They notice that MAA Si 22450799 these fractions can not be written in a terminating IC MN decimal representation The activity uses the calculator display to help them see patterns and AREA Autos tHe investigate repeating decimal representations Press clear to return to the Home screen 2007 TEXAS INSTRUMENTS INCORPORATED TI 34 MultiView A Guide For Teachers Next stop fraction terminal continued Have the students work in groups to promote discussion Have them enter a table of data from the student activity sheet into the data editor by using data Notice there are three lists available L1 L2 and L3 Discuss that they will ente
87. xt book format Use MathPrint mode for better visual confirmation that math expressions have been entered correctly and to better reinforce the correct math notation Note S wit ching the mode bet ween Classic and MathPrint clears calculator history and stored operations opland op2 Vill TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED About the TI 34 MultiView calculator continued 2nd functions Pressing displays the 2ND indicator and then accesses the function printed above the next key pressed For example 3 2na v 25 calculates the cube root of 25 and returns the result 5 Menus Certain keys display menus prb 2nd angle 2nd tog 2nd trig math data data Pnd stat 2nd reset 2nd recall and 2nd clear var Press or to scroll and select a menu item or press the corresponding number next to the menu item To return to the previous screen without selecting the item press clear To exit a menu or application and return to the Home screen press 2nd auit Previous entries After an expression is evaluated use and to scroll through previous entries which are stored in the TI 34 MultiView history You can reuse a previous entry by pressing to paste it on the bottom line and then editing and evaluating a new expression Answer toggle gt The toggle key displays the last calculated result into different
88. you attempt to enter more than four levels the TI 34 MultiView calculator temporarily dis plays the full cursor and does not allow any extra entries When you calculate an entry on the Home screen depending upon space the answer Is displayed either directly to the right of the entry or onthe right side of the next line Dis play contrast The brightness and contrast of the display can depend on room lighting battery freshness and viewing angle To adjust the contrast 1 Press and release the key 2 Press to darken the screen or to light en the screen About the TI 34 MultiView calculator Dis play indicators Refer to Appendix B for a list of the display indicators Order of operations The TI 34 MultiView uses the Equation Operating System EOS to evaluate expressions The Operation priorities are listed on the transparency master in Chapter 4 Order of operations and parentheses Because operations inside parentheses are performed first you can use to change the order of operations and therefore change the result Mode Use mode to choose modes Press to choose a mode and to select it Press Or 2nd auit to return to the Home screen and perform your work using the chosen mode settings Default settings are shown ARS nd u AUTOS TAP Classic mode displays inputs and outputs ina Single line MathPrint mode displays most inputs and out puts in te
89. your test grade as the average of your test scores 2 Find your homework grade as the average of your homework scores 3 Your teacher will compute your final grade as the average of your test grade and your homework grade What is your final grade Your teacher will round to the nearest whole number if needed Press Dis play 96 76 greeny j 85030 oM 7 ans 5 0 TI 34 MultiView A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED Store variables continued Press Dis play sto gt la 92 83 M bo EA CRAFT 970186 PE 40 stow 17 67 2 enter DEG Sz round 873A 0 Your final grade Is 88 rounded to the nearest whole number Note V next to the resulting fraction indicates the fraction can be Simplified using simp This was not necessary for the solution to this 2 problem 5 me 2007 TEXAS INSTRUMENTS INCORPORATED 11 34 MultiView A Guide For Teachers 9 l Store recall You are going to ship a gift to each of sto gt two friends Youseethe gifts at two web sites for the same price The shipping charges are different at each site The packages weigh 4 5 pounds and 3 2 pounds StoreA will ship a package for 2 plus 140 per pound Store B will ship the package for 3 plus 110 per pound Which store will charge the least for

Texas Instruments TI-34 MultiView

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