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A G uide f or T eachers De ve l o p e d b y T exas Instruments Incorpor ated Activities dev eloped by Gary Hanson, Aletha P aske tt, and Mar go L ynn Mankus Illustr ated by J ay Garrison TI-34 MultiVi.
ii TI-34 MultiView: A Guide For Tea c hers © 2007 T EXAS I NSTRUMENTS I NCORP ORATED About the authors Gary Hanson and Aletha P askett ar e math teachers in the Jor dan Independent School District in S andy , Utah.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers iii Copyright © 1999, 2000, 2007 T exas Inst ruments Incorpor ated. Except for the specific rights gr a nted her ein, all rights are r eserved. P rinted in the United States of America.
iv TI-34 MultiView: A Guide For Tea c hers © 2007 T EXAS I NSTRUMENTS I NCORP ORATED.
Table of contents © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers v CHAPTER P AGE CHAPTER P AGE About the teacher guide vii About the TI-34 MultiView™ calculator viii.
vi TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED.
About the teacher guide © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers vii How the teacher guide is or ganized This guide consists of two sections: Activities and How to use the TI-34 MultiView™ calculator .
viii TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED Home scr een On the Home scr een, you can enter mathematical expr essions and functions , along with other instructions . The answers ar e displayed on the Home scr een.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers ix About the TI-34 MultiView™ calculator (Continued) 2nd functions Pr e s s i n g % displays the 2ND indicator , and then accesses the function printed above the next key pr essed.
x TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 1 Activities Star v oyage — Scientific notation 3 Heart rates — 1-v ariable statistics 7 My fav orite recipe — Fra.
2 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUM ENTS I NCORPORATED.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 3 Ov er view Students investigate scientific notation by changing numbers into scientific notati on, and then us ing them in calculations .
4 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED Activity Present the following problem to students: Y ou are a captain of a starship in the distant future. Y ou have been a ssigned to go to Alpha Centauri and you have 5 years to get there.
Name ___________________________ D ate ___________________________ © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 5 Pr o b l e m s 1. W rite the following number s in scientific notation. S tandard Notation Scientific Notation a.
Name ___________________________ D ate ___________________________ 6 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED Pr o b l e m Y ou are a captain of a starship in the distant future. Y ou ha ve been assigned to go to Alpha Centauri and you have 5 years to ge t there.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 7 Ov er view Students use the data editor and statistics function of the TI-34 MultiView™ calc ulator to inv estigate the effect of exer cise on heart r ate.
8 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED 4. Check the statistics calculations. After students display Ò x (Sigma x ), explain that Ò x is the sum of all the heart rates. Ask students: • How many heartbeats we re entered from all of the student in one minute? This is Ò x .
Name ___________________________ D ate ___________________________ © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 9 Pr o b l e m What do you think the average resting hear t rate is for someon e your age? What about after exercising? Pr o c e d u r e 1.
Name ___________________________ D ate ___________________________ 10 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED 4. Use this table to record your class or group data (running). 5. What is the class (group) average? _______________________________________ 6.
Name ___________________________ D ate ___________________________ © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 11 7. Use this table to record your class or group data (jumping). 8. What is the class (g roup) average? _______________________________________ 9.
Name ___________________________ D ate ___________________________ 12 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED 1 1.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 13 Ov er view Students add the volume of ingr edients in a cookie r ecipe to determine the size bowl they need before starting the recipe .
14 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED Activity Present the following problem to students: Y ou are about to make your favorite co okie recipe. Y ou check the bowls in the kitchen and the only one you can find is a 5-quart bowl.
Name ___________________________ D ate ___________________________ © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 15 Pr o b l e m Y ou are about to make your favorite c ookie recipe. Y ou chec k the bowls in the kitchen, and the only one you can find is a 5-quart bowl.
Name ___________________________ D ate ___________________________ 16 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED 2. Using the TI-34 MultiV iew™ calculator , ad d all the measurements in the recipe. 3. Using the TI-34 MultiV iew calcul ator , convert the total number of cups into number of quarts.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 17 Ov er view Students investigate fr action and decimal r epresentations to determin e when a base-ten fr action will be r epresented as a terminating or r epeating decimal.
18 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED Have the students work in gro ups to promote discussion. Have them enter a table of data from the student activity sheet i nto the data e ditor by using v . Notice there are three lists available: L1, L2, and L3 .
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 19 2. T able D: T able E: 3. The decimal representati ons for the factions are: = 0.36, = 0.4, = 0.6, = 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.
20 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED them later formulate a rule about when a fraction will be expressed as a terminating or repeating decimal. 7. These fractions will be rep resented as a repeating decimal number .
Name ___________________________ D ate ___________________________ © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 21 Pr o b l e m In this activity you will explore the decimal fo rms for familiar fraction s.
Name ___________________________ D ate ___________________________ 22 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED 2. Use v on the TI-34 MultiV iew™ calculator to fill in the following tables. Change each fraction to its decimal representation.
Name ___________________________ D ate ___________________________ © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 23 5. Mathematicians are like detectives. They investigate numbers! Observe the fractions in tables F and G, and find thei r de cimal representati on using v on the TI-34 MultiV iew™ calculator .
Name ___________________________ D ate ___________________________ 24 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED 8. A decimal number is called a repeating decimal if it consists of a number or set of numbers that keep repe ating in a regular pa ttern.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 25 H ow to use the TI-34 MultiView™ calcula tor TI-34 MultiView basic oper ations 27 Clearing and correcting 41 B asic.
26 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED.
1 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 27 TI-34 MultiView™ basic oper ations Keys 1. & turns on the calculator . 2. % turns on the 2ND indicator and accesses the function shown above the next key you pr ess .
28 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView™ basic oper ations (Continued) • Resetting the calculator: – Returns mode settings to their def.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 29 %' !" #$ < Second, off , arrows , enter • Enter 46 – 23. • Change 46 to 41. Change 23 to 26 and complete the oper ation. • Enter + and complete the oper ation.
30 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Reset the calculator. Using % returns all settings to their defaults and clears the memory.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 31 q Use q to choose modes. Press # $ ! " to choose a mode, and < to select it. Press - or %s to return to the Home screen and perform your work using the chosen mode settings.
32 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED NORM displays r esults with digits to the left and right of the decimal, as in 123456.78. SCI expr esses numbers with one digit to the left of the decimal and the appropriate pow er of 10, as in 1.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 33 CLASSIC MATHPRINT sets the display input and output. CLASSIC displays inputs and outputs in a single line. The MATHPRINT mode displays most inputs and outputs in textbook format.
34 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED MANSIMP AUTOSIMP Determines whether or not a fractional result will be simplified automatically. MANSIMP The user simplifies fr actions manually step-by-step . » next to the r esulting fr action signifies that the fr action is not yet in simplest form.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 35 Certain keys display menus: H , %= , %A , %B , d , % , %h , %{ , vv , and %t . Press " and $ to scroll and select a menu item, or press the corresponding number next to the menu item.
36 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED %A %B d % %h %{ LOG LN TR IG 1: log( 1: ln( 1: sin( 2: 10^( 2: e^( 2: cos( 3: tan( 4: sin -1 ( 5: cos -1 ( 6: tan.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 37 vv (Press v once to display the Data editor screen. Press again to display the menu.
38 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED Use Last answer (ans) to calculate . Pr e s s D i s p l a y 5 F T 12 F < b %i < 5 2 12 2 + Last answer (ans) %.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 39 Pr e s s r to toggle the display r esult between fr action and decimal answers , and exact pi and decimal.
40 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED.
2 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 41 Clearing and corr ecting Keys 1. - clears characters and err or messages . Pr e s s - once to clear an uncompleted entry; pr ess it again to clear the display . Y ou can scroll up and use - to clear entries in history .
42 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED J %f D elete and inser t Enter 4569 + 285, and then change it to 459 + 2865.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 43 Enter 21595. Clear the 95. Clear the entry. Pr e s s D i s p l a y 21595 ! ! - (Clear to right) - (Clear entry) Clear.
44 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED.
3 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 45 Ba s i c m a t h Keys 1. T adds . 2. U subtr acts . 3. V multiplies . 4. W divides . 5. < completes the oper ation or executes the command. 6. M lets you enter a negativ e number .
46 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NS TRUMENTS I NCORPORATED T U V W < Add, subtr act, multiply , divide, equals Find: 2 + 54 - 6 = 16 × 21 = 78 ¾ 2 = 12 × (5 + 6) = Pr e .
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 47 The temperature in Utah was ½ 3 Ä C at 6:00 a.m. By 10:00 a.m. the temperature had risen 12 Ä C. What was the temperature at 10:00 a.m.? The temperature at 10:00 a.m.
48 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED Mike makes $80 per week. He saves 15% of his earnings. How much does Mike save per week? Mike saves $12 per week. Crystal saved of her last paycheck. What per cent of her paycheck did she save? Crystal saved 37.
4 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 49 Or der of oper ations and par entheses Keys 1. D opens a parenthetical expr ession. 2. E closes a parenthetical expr ession. Not es • The examples on the tr ansparency masters assume all default settings .
50 TI-3 4 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Equation oper ating system (EOS™) 1 (first) Expressions inside D E 2 Functions that need a E and precede the expression, such as in, %B , %A , and some menu items.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 51 7 Permutations ( nPr ) and combinations ( nCr ) 8 Multiplication, implied multiplication, and division 9 Addition and.
52 TI-34 MultiView : A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED 1 + 2 × 3 = 1 + (2 x 3) = (1 + 2) × 3 = Pr e s s D i s p l a y 1 T 2 V 3 < Pr e s s D i s p l a y 1 T D 2 V 3 .
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 53 = (Classic mode) = (MathPrint™ mode) Pr e s s D i s p l a y q $ $ $ < - b 5 F U 4 D 1 E D 3 E E < Pr e s s D .
54 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED.
5 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 55 Numeric nota tion Keys 1. q lets you choose from the following numeric notation menu. NORM Restores standar d mode (floating decimal). SCI T urns on scientific mode and displays r esults as a number from 1 to 10 (1 { n < 10) times 10 to an integer power .
56 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NC ORPORATED Enter 12543, which will be in floating decimal notation and normal numeric notation (both default settings in q ). Alternate the display result between normal and scientific notations by changing settings on the mode screen.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 57 With the TI-34 MultiView™ calculator in Norm and MathPrint™ modes (both defaults), enter the following problem in scientific notation using the C key. The Earth is approximately 1.
58 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED.
6 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 59 F r actions Keys 1. @ lets you enter mixed numbers and fr actions . All entries must be an integers and the denominator can not be zero . T o enter a mixed number , enter an integer for the unit, and then pr ess @ to enter a numer ator .
60 TI-34 MultiView : A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Not es (continued) • Calculations using fr actions can display fraction or decimal r esults, depending on input. • In MathP rint mode, fr actions with P can include oper at ion keys ( T , V , etc.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 61 At the party, you ate of the pepperoni pizza and of the sausage pizza. The pizzas are the same size. If you put the pieces together, how much of one whole pizza did you eat? You ate of the size of one whole pizza.
62 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED A baby weighed 4 pounds at birth. In the next 6 months, she gained 2 pounds.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 63 Mode setting n/d : After 6 months, the baby weighs 7 pounds. Pr e s s D i s p l a y 4 @ 3 $ 8 " T 2 @ 3 $ 4 <.
64 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NS TRUMENTS I NCORPORATED Juan swims 20 laps in 5.72 minutes. Mary swims 20 laps in 5 minutes. Change Mary's time to a decimal to determine who swims faster. Mode setting Un/d : Mode setting n/d : Juan swims faster than Mary since he swims 20 laps in 5.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 65 Change 2.25 to its fractional equivalent. You may have to simplify more than once to simplify the fraction to its lowest terms.
66 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Mode setting n/d: Pr e s s D i s p l a y 2 8 25 %j < } < } < Conv er ting fr actions and decimals (Continue.
7 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 67 Ma th menu Keys 1. d displays two submenus , MA TH and NUM , with v arious math functions . Some functions r equire you to enter tw o values , r eal numbers , or expr essions that equal a real number .
68 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NC ORPORATED Find the absolute value of ½ 35 and then validate the answer using the calculator. | ½ 35 | = Evaluate the expression 6+ | 4-9 | x 3 and then validate the answer using the calculator.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 69 Round À to the nearest thousandths place. Pr e s s D i s p l a y d " 2 g %` 3 E < Rounding a number d.
70 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED Display the integer and fractional part of . Then, change to a decimal number and display the integer and fractional part of the number.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 71 Using max , put the following list of numbers in ascending order: , , .
72 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Using min , check if this statement is true or false: 5.75 < 5.75 < is true.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 73 Add + using lcm to find the least common denominator. Verify your answer.
74 T I-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED Find the greatest common divisor ( gcd ) for the numbers 27 and 36.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 75 Calculate and . Notice that is 34. Pr e s s D i s p l a y 34 d 3 < d 4 # < " < 34 3 39304 3 34 3 3 Cube.
76 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMEN TS I NCORPORATED 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 students.
8 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 77 D ecimals and decimal places Keys 1. 8 enters a decimal point. 2. q lets you set the number of decimal places . P ress $ $ and then " to the choice of decimal desir ed.
78 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED Round 12.345 to the hundredths place, to the tenths place, and then to floating notation.
9 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 79 Integer divide Keys 1. %Y divides two positive integers and displays the quotient and the r emainder , r . Not es • The examples on the tr ansparency masters assume all default settings .
80 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED You have 123 music CDs. You divide them equally to store on 13 small shelves in your room. How many CDs w i l l b e o n e a c h s h e l f ? H o w m a n y w i l l b e left over? Each shelf will contain 9 CDs, with 6 CDs left over.
10 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 81 Stor ed oper a tions Keys 1. %n or %p lets you store an oper ation. 2. m or o recalls and displa ys the stored oper ation. Not es • The examples on the tr ansparency masters assume all default settings .
82 T I-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED There are 4 frogs in a pond. If 3 more frogs jump into the pond 1 at a time, how many frogs will be in the pond? Pr .
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 83 Maria put new tile in her kitchen. She made 4 rows with 5 tiles in each row. Use repeated addition to find out how many tiles she used. Continued Pr e s s D i s p l a y %n Pr e s s - if necessary to clear a pr evious oper ation.
84 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMEN TS I NCORPORATED Maria used 20 tiles. See that 4 groups of 5 is 20. Multiplication is a shortcut to the repeated addition, 4 x 5 = 20.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 85 Use this formula and repeated multiplication to find the volume of a cube with a base of 5 meters. V = l × w × h = 5 × 5 × 5 = 5 3 cubic meters Continued Pr e s s D i s p l a y %p Pr e s s - if necessary to clear a pr evious oper ation.
86 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED The volume of a cube with a base of 5 meters is 125 cubic meters. See that 5 x 5 x 5 = 125. You can also use powers notation as a shortcut for repeated multiplication, 5 3 =1 2 5 .
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 87 Use this formula to find the volume of each cube. v = length of side 3 = S 3 cubic units S = 2 units S = 3 units S = 4 units Pr e s s D i s p l a y %p Pr e s s - if necessary to clear a pr evious oper ation.
88 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED The volumes are 8, 27, and 64 cubic units. Another notation used on a calculator to raise a number to a power is ^. Enter 4 G 3. Notice the different notations: 4 3 =4 ^ 3=4x4x4=6 4 .
11 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 89 Memor y and stor ed v ariables Keys 1. L lets you store v alues to v ariables . P ress L to stor e a variable , and press z to select the v ariable to store . P ress < to stor e the value in the selected v ariable.
90 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED Following are your scores for tests and homework in your math class. Test scores: 96, 76, 85. Homework scores: 92, 83, 97, 86. 1. F ind your test gr ade as the av er age of y our test scores .
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 91 Your final grade is 88 rounded to the nearest whole number. Note: » next to the resulting fraction indicates the fraction can be simplified using } . This was not necessary for the solution to this problem.
92 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED You are going to ship a gift to each of two friends. You see the gifts at two web sites for the same price. The shipping charges are different at each site. The packages weigh 4.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 93 Store A charges $6.48 and store B charges $6.52. Store A charges less to ship the gift that weighs 3.
94 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Shop Purchases Qty Cost As h i r t s 2 $ 1 3 . 9 8 e a . B ties 3 $7.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 95 You spent: $27.96 at shop A, $23.94 at shop B, $16.96 at shop C. You spent $68.
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12 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-30XS MultiView: A Guide For Teachers 97 D ata editor and list conv ersions Keys 1. v displays a Data editor with thr ee lists . Each list can contain up to 42 items . T o enter data, navigate to a list and enter a number .
98 TI-30XS MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED Find the decimal representation of , , and . From this pattern, can you predict the decimal representation for ? Check your answer using the lists on the calculator. Input the rest of the fractions in L1 to test the pattern.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-30XS MultiView: A Guide For Teachers 99 that the decimal representation is a repetition of the number in the numerator for ninths. Entering , , , and finally validates the statement. Notice the last digit in the list is rounded, so 0.
100 TI-30XS MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED The same quantity can have different number representations. Sam and his friends ate some cake at his birthday party. Sam ate of the cake. Maria ate of the cake. Leila ate of the cake.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-30XS MultiView: A Guide For Teachers 101 Use the percent form of the amount of cake eaten to justify your answer.
102 TI-30XS MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED.
13 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 103 Statistics Keys 1. v lets you enter data points (x for 1-V ar stats; x and y for 2-V ar stats). (S ee Chapter 12, D ata editor and list conversions , for mor e details on v .
104 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Five students took a math test. Using their scores, enter the data points: 85, 85, 97, 53, 77.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 105 Find the number of data points ( n ), the mean ( Ï ), the sample standard deviation ( Sx ), the population standard deviation ( Î x ), the sum of the scores ( Ò x ), and the sum of the squares ( Ò x 2 ).
106 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED Drop the lowest test score by editing the data in L1 in the data editor. Make sure you update the frequency list, L2, if needed. Find the new mean ( Ï ). Finally, clear the data from all of the lists.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 107 The table below shows the number of pairs of athletic shoes sold by a small shoe store. The table shows the total number of pairs of shoes sold for two months and the total number of pairs of Brand A shoes sold during the same months.
108 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED Assuming that the rate of shoe sales is a constant, you can use two data points to predict the June sales of Brand A if you know the total June sales. Use a line of best fit to find the June sales of Brand A if the store sells a total of 32 pairs in June.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 109 You can predict that 18 pairs of Brand A will be sold in June if the total sales are 32 pairs. Extra: Graph the two data points (58, 35) and (47, 28) on graph paper. Graph y' = ax' + b.
110 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED.
14 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 111 P robability Keys 1. H displays two submenus , PRB and RAND . PRB menu: nP r Calculates the number of possible permutations of n items taken r at a time. nCr Calculates the number of possible combinations of n items taken r at a time.
112 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NS TRUMENTS I NCORPORATED You have space for 2 books on your bookshelf. You have 4 books to put on the shelf. Use this formula to find how many ways you could place the 4 books in the 2 spaces.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 113 Four different people are running in a race. Use this formula to find how many different 1st place and 2nd place outcomes can occur. 4 P 2 ABC D There are 12 different permutations for the 1st and 2nd place results of the race.
114 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED 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.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 115 Generate a sequence of random numbers. Results will vary. Pr e s s D i s p l a y H " < < < Random (r a.
116 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NC ORPORATED Set 1 as the current seed and generate a sequence of random numbers. Note : Your results will be the same as this example if you use the same number to store to random seed.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 117 Create your own calculator spinner. Your spinner will pick numbers from 2 through 10.
118 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMEN TS I NCORPORATED.
15 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 119 Logarithms and exponential functions Keys 1. %A displays the choice of two submenus , LOG and LN . The LOG menu has the following two choices: log( calculates the common logarithm (base 10).
120 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Illustrate the inverse relationship of log and 10^ by finding log(23) and then raise 10 to the result.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 121 Illustrate the inverse relationship of ln and e^ (antiln or exp) by finding ln(23) and then raise e to the result.
122 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED.
16 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 123 Pi Keys 1. g displays the value of pi r ounded to 10 digits (3.141592654).
124 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED 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 = 2 À r = 2 × À × 1.5m The border length is 3 À m.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 125 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.
126 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED The area that will be covered by the sprinkler is approximately 50 square meters.
17 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 127 P ow ers , roots , and r eciprocals Keys 1. F squares the v alue. 2. b calculates the square root. 3. %c calculates the specified root (x) of the v alue. 4. %a calculates the r eciprocal.
128 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMEN TS I NCORPORATED Use this formula to find the size of the tarpaulin needed to cover the entire baseball infield. A = x 2 = 27.4 2 square meters The area of the tarpaulin is 750.76 square meters.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 129 Use this formula to find the length of the side of a square clubhouse if 3m 2 of carpet would cover the floor. Round your answer to 0 decimal places. meters The length of a side of the square clubhouse is 2 meters rounded to 0 decimal places.
130 T I- 34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORA TED Use this formula to find the volume of a cube with sides 2.3 meters long. Change your answer to a fraction. V = L 3 = 2.3 3 cubic meters The volume of the cube is 12.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 131 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 15 folds? Fold the paper in half once and you will see two sections.
132 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED If the volume of a cube is 125 cm 3 , what is the length of each side? L = cm The length of each side is 5 cm.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 133 The chart below shows the amount of time spent building model ships. Time Portion Spent Completed Ships Building Per Hour Sailing 10 hrs. ? Steam 5 hrs. ? Luxury 5 hrs.
134 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Time Portion Spent Completed Ships Building Per Hour Sailing 10 hrs.
18 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 135 Angle settings and conv ersions Keys 1. %= displays the choice of two submenus that enable you to specify the angle unit modifier as degr ees (º), minutes ('), seconds ("), or r adians (r); or convert units using ´ DMS .
136 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMEN TS I NCORPORATED Find the measure of the third angle of a triangle if one angle measures 45 Ä 30 ' and the other angle measures 36 Ä 15 " .
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 137 The measure of the third angle is 98 Ä 15 ' . 180 %= 1 U %i < %= 5 < D egr ees , minutes , and seconds t.
138 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED You are visiting Beijing, China. Your GPS gives your location (latitude and longitude) as 39.55 Ä N1 1 6 . 2 0 Ä E. Change your location information to degrees, minutes and seconds.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 139 Calculate the following: cos(180 degrees) cos( À radians) Remember: 180 degrees = À radians.
140 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED.
19 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 141 P olar and r e ctangular conv ersions Keys 1. %= displays a choice of two submenus that lets you conv er t r ectangular coor dinates (x,y) to polar coor dinates (r , Á ) or vice versa.
142 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED Convert the polar ordered pair (7, 30 Ä ) to rectangular coordinates.
20 © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 143 T rig onometr y Keys 1. %B displays a menu of all trigonometric functions (sin, cos , tan, sin -1 , cos -1 , tan -1 ). sin calculates the sine. cos calculates the cosine.
144 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED Use this formula to find the length of the ramp, D. Round your answer to the nearest whole number, and then return to floating decimal mode. D = meters Continued Pr e s s D i s p l a y 1 8 5 P %B 1 12 E < q $ $ " < 1.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 145 The length of the ramp is D = 7 m rounded to the nearest whole number.
146 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Use this formula to find the distance, D, from the base of the ladder to the house. Round your answer to the nearest whole number, and then return to floating decimal mode.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 147 The distance is approximately 1 meter. - < q $ $ < - < Cosine (Continued) %B.
148 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Use this formula to find the distance, D, from the lighthouse to the boat.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 149 The distance from the lighthouse to the boat is approximately 153 m.
150 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRU MENTS I NCORPORATED Use this formula to find the angle of the conveyor belt, x. Round your answer to the nearest tenth, and then return to floating decimal mode.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 151 The angle of the conveyer belt is x=4 0 . 5 Ä rounded to the nearest tenth.
152 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCOR PORATED Use this formula to find the angle of the ski jump, x. Round your answer to the nearest tenth, and then return to floating decimal mode.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 153 The angle of the ski jump is x = 25.0 Ä rounded to the nearest tenth.
154 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMEN TS I NCORPORATED Use this formula to find the angle of depression, x. Round your answer to the nearest tenth, and then return to floating decimal mode.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers 155 The angle of depression is x = 13.5 Ä rounded to the nearest tenth.
156 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NS TRUMENTS I NCORPORATED.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 III Explorer Plus: A Guide For Teachers A-1 A Quick r e f er ence to keys K EY F UNCTION ! " # $ ! " mov e the cursor left and right so you can scroll an entry on the Home scr een. P r ess % ! or % " to scroll to the beginning or end of a curr ent entry .
A-2 TI-34 III Explorer Plus: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED A Quick r e f er ence to keys (continued) %= Displays the following menus . DMS lets you specify the unit of an angle . R ¶ P lets you conv er t r ectangular coor d inates to polar coor dinates , or vice ve rsa.
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 III Explorer Plus: A Guide For Teachers A-3 A Quick r e f er ence to keys (continued) %{ Clears all memory v ariables . v Lets you enter the statistical data points for 1-V ar stats and 2-V ar stats . vv P r ess v once to display the data editor screen.
A-4 TI-34 III Explorer Plus: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED A Quick r e f er ence to keys (continued) z Accesses v ariables . P ress this key multiple times to choose x , y , z , t , a , b , or c . Y ou can also use z to recall the stor ed v a lues for these variables .
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 III Explorer Plus: A Guide For Teachers A-5 A Quick r e f er ence to keys (continued) %t Displays the following menu from which you can select 1-V ar , 2-V ar , or Sta tV ars . 1-V ar Stats Analyzes data fr om 1 set of data with 1 measured v ariable–x.
A-6 TI-34 III Explorer Plus: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED A Quick r e f er ence to keys (continued).
© 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers B-1 B Display indicators I NDICATOR M EANING 2ND 2nd function. FIX Fixed-decimal setting. (See the Mode section in Chapter 1, TI-34 MultiView basic oper ations , and Chapter 8, Decimals and decimal places .
B-2 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED.
C © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers C-1 Error messages When the TI-34 Mult iView™ calculator detects an error , it returns an erro r message with the type of error . T o corr ect the error , note the error type an d an d determine the cause of the error .
C-2 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED C MEMOR Y LIMIT The calculation contains too ma ny pending oper ations (mor e than 23).
D © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers D-1 T exas Instruments suppor t and ser vice F or gener al inf ormation F or technical suppor t F or product (har dwar e) ser vice Hom e P a ge : education.ti.com KnowledgeB ase and e-mail inquiries: education.
D-2 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED.
E © 2007 T EXAS I NSTRUMENTS I NCORPORATED TI-34 MultiView: A Guide For Teachers E-1 B atter y inf o rma tion Ba t t e r y pr ecautions • D o not leave batteries within the r each of children. • D o not mix new and used batteries . Do not mix br ands (or types within br ands) of batteries .
E-2 TI-34 MultiView: A Guide For Teachers © 2007 T EXAS I NSTRUMENTS I NCORPORATED.
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