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EXAS

NSTRUMENTS

NCORPORATED

: A Guide for Teachers

Trig Functions

Name ___________________________

Date

___________________________

Problem

You need to build a ramp to your front door. The distance from the ground to the

bottom of the door is 1.5 feet. You don’t want the angle of incline to be more than

6 degrees. The distance from the street to the door is 20 feet. Is there enough

room to build the ramp?

Procedure

1. Make a drawing of the problem.

2. Use the trig ratio

tan = opposite leg

adjacent leg

to find angle

. (Round

your answer to the nearest tenth.)

3. Is there room to build the ramp?

Extension

You want to start the ramp 15 feet away from the door. Can you do that and still

have the angle of incline be less than 6 degrees?

Содержание -34 II Explorer Plus

Страница 1: ...TI 34 A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Gary Hanson and Aletha Paskett Illustrated by Jay Garrison Explorer Plus...

Страница 2: ...those described in these materials Permission to Reprint or Photocopy Permission is hereby granted to teachers to reprint or photocopy in classroom workshop or seminar quantities the pages or sheets i...

Страница 3: ...Use the TI 34 36 1 TI 34 Basic Operations 37 2 Editing the Display 41 3 Basic Math 44 4 Order of Operations 48 5 Stored Operations 51 6 Decimals and Decimal Places 58 7 Memory 60 8 Fractions 65 9 Pi 7...

Страница 4: ...ovide examples of practical applications of the key s being discussed The key s being discussed are shown in black on the TI 34 keyboard Things to Keep in Mind While many of the examples on the transp...

Страница 5: ...ations and therefore change the result 2nd Functions Pressing displays the 2nd indicator and then accesses the function printed above the next key pressed For example b 25 E calculates the square root...

Страница 6: ...s Standard notation floating decimal and degree mode Clears memory variables pending operations entries in history statistical data constants stored operations and Ans Last Answer Note The examples on...

Страница 7: ...e Better Batter The Fix Key 1 Star Voyage Scientific Notation 6 Trig Functions 10 What s My Score 1 Variable Statistics 14 Heart Rates 1 Variable Statistics 17 WNBA Stats 2 Variable Statistics 23 My F...

Страница 8: ...0 027 2 Have students round the following numbers to 4 decimal places using the TI 34 a 4 39865 4 3987 b 72 965912 72 9659 c 0 29516 0 2952 d 0 00395 0 0040 Activity Present the following problem to s...

Страница 9: ...ing Average C Ripken 122 368 0 332 Puckett 119 363 0 328 Molitor 119 364 0 327 Greenwell 104 334 0 311 Tartabull 103 311 0 331 Palmeiro 120 366 0 328 Franco 109 344 0 317 Joyner 105 338 0 311 Boggs 10...

Страница 10: ..._______________________ 1 Round the following numbers to 3 decimal places a 2 35647 _________________ b 15 3633 _________________ c 0 02698 _________________ 2 Using the TI 34 round the following numb...

Страница 11: ...of Hits Number of Times at Bat Batting Average rounded to 3 decimal places C Ripken 122 368 Puckett 119 363 Molitor 119 364 Greenwell 104 334 Tartabull 103 311 Palmeiro 120 366 Franco 109 344 Joyner 1...

Страница 12: ...rs in scientific notation using pencil and paper a 93 000 000 9 3 Q 107 b 384 000 000 000 3 84 Q 1011 c 0 00000000000234 2 34 Q 10 12 d 0 0000000157 1 57 Q 10 8 2 Have students change the following nu...

Страница 13: ...t year Will you be able to get to Alpha Centauri on time Procedure 1 Using the TI 34 find the total distance you need to travel 2 5 Q 1013 9 3 Q 107 2 5000093 Q 1013 miles 2 Next find out how long it...

Страница 14: ...____________ d 0 0000000157 _________________ 2 Using the TI 34 change the following numbers into scientific notation Standard Notation Scientific Notation a 12 000 000 000 000 _________________ b 974...

Страница 15: ...an travel at the speed of light You know that light can travel a distance of 6 x 1012 miles in 1 light year Will you be able to get to Alpha Centauri on time Procedure 1 Using the TI 34 find the total...

Страница 16: ...und to the nearest hundredth if necessary Use for rounding a sin C 3 5 0 6 b cos C 4 5 0 8 c tan C 3 4 0 75 d sin A 4 5 0 8 e cos A 3 5 0 6 f tan A 4 3 1 33 2 Have students find the value of each rati...

Страница 17: ...h room to build the ramp Procedure 1 Make a drawing of the problem 1 5 ft A 20 ft 2 Use the trigonometric ratio tan opposite leg adjacent leg to find angle A Angle A is 4 3 degrees rounded to the near...

Страница 18: ...s C _________________ c tan C _________________ d sin A _________________ e cos A _________________ f tan A _________________ 2 Using the TI 34 find the value of each ratio Round to the nearest ten th...

Страница 19: ...don t want the angle of incline to be more than 6 degrees The distance from the street to the door is 20 feet Is there enough room to build the ramp Procedure 1 Make a drawing of the problem 2 Use th...

Страница 20: ...one quarter wins Your scores are 98 89 78 98 and 100 Your friend s scores are 89 89 97 90 and 100 Who is the winner Be sure that the TI 34 is set to floating decimal before you begin this activity Pr...

Страница 21: ...d frequencies following steps 3 and 4 on the previous page 4 When finished press u to select v the average Write it down n v Sx sx 93 Extension Present the following problem to students Your friend to...

Страница 22: ...erage on their math tests for one quarter wins Your scores are 98 89 78 98 and 100 Your friend s scores are 89 89 97 90 and 100 Who is the winner Your average _______________________ Your friend s ave...

Страница 23: ...k their estimations 1 Have the students check their resting heart rate by timing their pulse for 1 minute You could time them for 10 seconds and have them multiply by 6 but this could be the most quie...

Страница 24: ...place for 2 minutes and then give them these instructions a Time your pulse for 1 minute b Record your heart rate as before c Enter the data into the calculator d Compare the average heart rate after...

Страница 25: ...___________________________ Problem What do you think the average heart rate is for someone your age What about after exercising Procedure 1 Use the following table to record your class or group data...

Страница 26: ...riable Statistics Name ___________________________ Date ___________________________ 4 Use the following table to record your class or group data running Heartbeats per minute running Frequency 5 What...

Страница 27: ...he following table to record your class or group data jumping Heartbeats per minute jumping Frequency 8 What is the class group average 9 What is the total number of heartbeats for the minute 10 How f...

Страница 28: ...ame ___________________________ Date ___________________________ 11 Now make a histogram for each of the 3 sets of data you collected Resting Running Jumping How are the histograms the same How are th...

Страница 29: ...g time in minutes per game is related to how many points a player scores Do you think it is related to how many rebounds they get Or is it related to their field goal percentage Procedure 1 Put the ca...

Страница 30: ...ation for the line of best fit round to the nearest hundredth 1 56x 7 02 5 The closer the correlation coefficient value is to 1 or 1 the better the correlation between the two variables Write the corr...

Страница 31: ...out defense rebounding etc Extension Now have students use the calculator to investigate the correlation of the other data in the chart such as the relation of field goal percentage to minutes per gam...

Страница 32: ...data to explore the relationships of different pairs of data Begin by entering the points per game as the X variable and the minutes per game as the Y variable Player Field Goal Percentage Points per...

Страница 33: ...e you have already entered the minutes in Y you only need to enter the new data in X 1 What is the average field goal percentage 2 Write the equation for the line of best fit 3 Write the correlation c...

Страница 34: ...7 40 b 9 7 8 6 4 5 16 27 40 c 5 5 6 3 1 9 8 17 18 d 8 1 3 7 4 7 15 19 21 2 Have students practice simplifying fractions and mixed numbers a 9 12 3 4 b 9 6 8 9 3 4 c 4 6 2 3 d 8 4 24 8 1 6 1 Before you...

Страница 35: ...1 teaspoon vanilla 4 1 3 cups flour 5 3 8 cups oatmeal 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 re...

Страница 36: ...be able to make the cookies in that bowl The recipe is 2 1 4 cups brown sugar 2 1 2 cups white sugar 1 1 2 cups butter 3 4 cups shortening 5 eggs 1 teaspoon salt 2 teaspoons baking powder 2 teaspoons...

Страница 37: ...utter 3 4 C shortening 5 eggs Enter your answer from 1 Salt Baking powder baking soda vanilla Enter your answer from 1 4 1 3 C flour 5 3 8 C oatmeal Total 3 Using the TI 34 convert the total number of...

Страница 38: ...4 1 7 x 5 20 5 7 d 7 4 5 x 3 23 2 5 2 Have students practice subtracting mixed numbers a 4 5 8 3 4 5 33 40 b 9 7 8 6 3 4 3 1 8 c 5 5 6 3 1 9 2 13 18 d 8 1 3 7 4 7 16 21 Be sure that the calculator is...

Страница 39: ...4 Compute how much it will cost to buy the additional material by multiplying the additional amount by 3 98 40 80 5 Find out how many costumes you could make with the material you have After the stud...

Страница 40: ..._ 1 Using the TI 34 practice multiplying mixed numbers by whole numbers a 3 3 5 x 7 _________________ b 9 7 8 x 4 _________________ c 4 1 7 x 5 _________________ d 7 4 5 x 3 _________________ 2 Practi...

Страница 41: ...cting the amount of material you have from the total amount needed Additional amount of material needed 3 If the material costs 3 98 per yard find out how much it will cost to buy the additional mater...

Страница 42: ...play 41 Basic Math 44 Order of Operations 48 Stored Operations 51 Decimals and Decimal Places 58 Memory 60 Fractions 65 Pi 72 Powers Roots and Reciprocals 75 Probability 82 Statistics 89 Trigonometry...

Страница 43: ...lays the RESET menu Reset N Y Press when N no is underlined to return to the previous screen without resetting the calculator Press when Y yes is underlined to reset the calculator The message MEM CLE...

Страница 44: ...r Teachers 38 Arrows Equals On Second Off Enter 46 23 Change 46 to 41 Change 23 to 26 and complete the operation Enter 81 57 and complete the operation Scroll to see your previous entries Press Displa...

Страница 45: ...achers 39 Reset Reset the calculator Press Display RESET N Y RESET N Y MEM CLEARED Pressing and at the same time also resets the calculator immediately No menu or message is displayed Using or and ret...

Страница 46: ...1999 TEXAS INSTRUMENTS INCORPORATED TIN34 A Guide for Teachers 40 Last Answer Ans Use Last Answer Ans to calculate 2 2 2 Press Display 2 T 2 2 2 4 F Ans2 16...

Страница 47: ...d error messages Once the display is clear it moves the cursor to the most recent entry 2 f inserts a character at the cursor 3 J deletes the character at the cursor or at the immediate left of the cu...

Страница 48: ...AS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 42 Delete Insert J Enter 4569 285 and then change it to 459 2865 Complete the problem Press Display 4569 T 285 4569 285 J 459 285 6 459 2865 459...

Страница 49: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 43 Clear Enter 21595 Clear the 95 Clear the entry Press Display 21595 21595 Clear to right of cursor 215 Clear entry...

Страница 50: ...operation or executes a command 6 M lets you enter a negative number 7 _ designates an entry as a percent 8 N converts an entry to a percent 9 Q converts an entry to a decimal Notes The examples on t...

Страница 51: ...Guide for Teachers 45 Add Subtract Multiply Divide Equals TUVW Find 2 54 6 16 x 21 78 P 2 12 x 5 6 Press Display 2 T 54 U 6 2 54 6 50 16 V 21 16 21 336 78 W 2 78 2 39 12 D 5 T 6 E 12 5 6 132 The last...

Страница 52: ...TS INCORPORATED TI 34 A Guide for Teachers 46 Negative Numbers M The temperature in Utah was 3 C at 6 00 a m By 10 00 a m the temperature had risen 12 C What was the temperature at 10 00 a m Press Dis...

Страница 53: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 47 Percent Mike makes 80 per week He saves 15 of his earnings How much does Mike save per week Press Display 15 15 V 80 15 80 12...

Страница 54: ...thetical expression 2 E closes a parenthetical expression Notes The examples on the transparency masters assume all default settings The transparency master showing the Equation Operating System EOS d...

Страница 55: ...on such as the sin or menu items 3 Functions entered after the expression such as F and angle unit modifiers r 4 Fractions 5 Exponentiation G and roots 6 Negation M 7 Permutations nPr and combinations...

Страница 56: ...de for Teachers 50 Order of Operations TVDE 1 2 x 3 Press Display 1 T 2 V3 1 2 3 7 1 2 x 3 Press Display D 1 T 2 E V 3 1 2 3 9 Order of operations used in these examples 1 Expressions in parentheses 2...

Страница 57: ...tores two operations OP1 and OP2 To store an operation to OP1 or OP2 and recall it 1 Press n or p 2 Enter the operation any combination of numbers operators or menu items and their arguments 3 Press t...

Страница 58: ...s 52 Addition as counting on m 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 Press Display Store the operation OP1 T 1 OP1 1 Initialize...

Страница 59: ...cation as repeated addition m 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 Press Display Store the operation OP1...

Страница 60: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 54 Multiplication as repeated addition Continued m m 5 5 2 10 m 10 5 3 15 m 15 5 4 20...

Страница 61: ...chers 55 Powers as repeated multiplication o Use this formula and repeated multiplication to find the volume of a cube with a base of 5 meters V l x w x h 5 x 5 x 5 53 Press Display Store the operatio...

Страница 62: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 56 Powers as repeated multiplication Continued o o 5 5 2 25 o 25 5 3 125...

Страница 63: ...TS INCORPORATED TI 34 A Guide for Teachers 57 Using G as a constant o Use this formula to find the volume of each cube V base3 Store the operation OP2 G 3 OP2 3 Usethestoredoperation 2 o 2 3 1 8 3 o 3...

Страница 64: ...tissa of scientific notation results The TI 34 automatically rounds the result to the number of decimal places selected For example when the decimal is set to 2 places 0 147 becomes 0 15 when you pres...

Страница 65: ...TI 34 A Guide for Teachers 59 Decimal Fix 8 Round 12 345 to the hundredths place to the tenths place and then cancel the FIX setting Press Display 12 8 345 12 345 F0123456789 2 12 345 12 345 12 35 FI...

Страница 66: ...ew the stored value before pasting it in variable form to the display 3 clears all variables 4 h displays the following menu of variables A B C D E Lets you view the stored value before pasting it to...

Страница 67: ...ry Variable Lz Test scores 96 76 83 Weekly scores 92 83 97 and 86 Find the average of test and weekly scores Find the final average Press Display 96 T 76 T 83 96 76 83 255 W 3 Ans 3 85 L Ans A 85 92 T...

Страница 68: ...ore Recall L Which would be the better buy 3 cassette tapes for 7 98 or 4 cassette tapes for 9 48 Press Display 7 8 98 W 3 7 98 3 2 66 L Ans A 2 66 9 8 48 W 4 9 48 4 2 37 L Ans B 2 37 View the first p...

Страница 69: ...Recall L Store Purchase Qty Cost 1 shirts 2 13 98 ea 2 ties 3 7 98 ea 3 belt 1 6 98 suspenders 1 9 98 How much did you spend at each store and how much did you spend altogether Press Display 2 V13 8 9...

Страница 70: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 64 Store Recall Continued L Press Display L Ans B 23 94 6 8 98 T 9 8 98 6 98 9 98 16 96 L Ans C 16 96 T 27 96 T 96 23 94 27 96 23 94 68 8...

Страница 71: ...ead of letting calculator choose it press enter the factor an integer and then press 5 displays Fac on the entry line and the divisor used to simplify the last fraction result You must be in Manual mo...

Страница 72: ...wo fractions or a fraction and any integer will display results as fractions Calculations involving a fraction and a decimal will always display results as decimals For a mixed number the whole number...

Страница 73: ...34 A Guide for Teachers 67 Fractions At the party you ate 5 6 of the pepperoni pizza and 1 10 of the sausage pizza How much pizza did you eat Press Display If Auto 5 6 T 1 10 5 6 1 10 14 15 If Manual...

Страница 74: ...RATED TI 34 A Guide for Teachers 68 Fractions A baby weighed 4 3 8 pounds at birth In the next 6 months she gained 2 3 4 pounds How much does she weigh Press Display If A b c 4 3 8 T 2 3 4 4 3 8 2 3 4...

Страница 75: ...mber Sam wants to make his birthday cake The recipe calls for 3 cups of flour He has only a cup measuring cup To find out how many times Sam will use his measuring cup change the mixed number to a fra...

Страница 76: ...ATED TI 34 A Guide for Teachers 70 Fraction to Decimal Q Juan swims 20 laps in 5 72 minutes Mary swims 20 laps in 5 3 4 minutes Change Mary s time to a decimal to determine who swims faster Press Disp...

Страница 77: ...imal to Fraction R Change 2 25 to its fractional equivalent The display depends on the mode and you may need to simplify more than once to reduce the fraction to its lowest terms Press Display 2 825 R...

Страница 78: ...the value of pi rounded to 10 digits 3 141592654 Notes The examples on the transparency masters assume all default settings Internally pi is stored to 13 digits 3 141592653590 After pressing you can s...

Страница 79: ...ED TI 34 A Guide for Teachers 73 Circumference g 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 2pr 2 x p x 1 5m Press Displa...

Страница 80: ...Area g 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 pr2 p x 42 Press Display g...

Страница 81: ...the value 4 a calculates the reciprocal 5 G raises a value to a specified power Notes The examples on the transparency masters assume all default settings To use G enter the base press G and then ente...

Страница 82: ...S INCORPORATED TI 34 A Guide for Teachers 76 Squares F G Use this formula to find the size of the tarpaulin needed to cover the entire baseball infield A x2 27 42 Press Display 27 4 F 27 42 750 76 or...

Страница 83: ...A Guide for Teachers 77 Square Roots Use this formula to find the length of the side of a square clubhouse if 3m2 of carpet would cover the floor Round your answer to 0 decimal places L x 3 Press Dis...

Страница 84: ...INCORPORATED TI 34 A Guide for Teachers 78 Cubes G Use this formula to find the volume of a cube with sides 2 3 meters long Change your answer to a fraction V L3 2 33 Press Display 2 8 3 G 3 2 3 3 12...

Страница 85: ...Guide for Teachers 79 Powers G 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 Pr...

Страница 86: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 80 Roots If the volume of a cube is 125 cm3 what is the length of each side Press Display 3 125 3X 125 5...

Страница 87: ...w shows the amount of time spent building model ships Ships Time Spent Building Sailing 10 hrs Steam 5 hrs Luxury 5 1 3 hrs How much of each model was completed per hour Press Display Sailing ship 10...

Страница 88: ...en 2 numbers that you specify Notes The examples on the transparency masters assume all default settings A combination is an arrangement of objects in which the order is not important as in a hand of...

Страница 89: ...ave 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 4 nCr 2 x A B C D AB and BA count as onl...

Страница 90: ...Permutation nPr H Four different people are running in a race Use this formula to find how many different ways they can place 1st and 2nd 4 nPr 2 x A B C D AB and BA count as 2 permutations AB AC AD...

Страница 91: ...actorial H Using the digits 1 3 7 and 9 only one time each how many 4 digit numbers can you form 4 x 1 3 7 9 A B C D ABCD BACD CABD DABC ABDC BADC CADB DACB ACBD BCAD CBAD DBAC ACDB BCDA CBDA DBCA ADB...

Страница 92: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 86 Random RAND H Generate a sequence of random numbers Press Display H RAND RANDI RAND 0 839588694 RAND 0 482688185 Results will vary...

Страница 93: ...STRUMENTS INCORPORATED TI 34 A Guide for Teachers 87 Random RAND H Set 1 as the current seed and generate a sequence of random numbers Press Display 1 L rand 1083958869 1 rand 1 H RAND 0 000018633 RAN...

Страница 94: ...9 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 88 Random Integer RANDI H Generate a random integer between 2 and 10 Press Display H RAND RANDI 2 10 E ANDI 2 10 RANDI 2 10 3 Results will v...

Страница 95: ...exit STAT mode EXIT ST Y N Press when Y yes is underlined to clear data values and exit STAT mode Press when N no is underlined to return to the previous screen without exiting STAT mode 4 u displays...

Страница 96: ...or Teachers 90 Entering 1 VAR Stat Data Five students took a math test Enter their scores as the data points 85 85 97 53 77 Press Display 1 VAR 2 VAR v X1 STAT 85 X1 85 STAT FRQ 1 STAT 2 FRQ 2 STAT 97...

Страница 97: ...u Find the number of data points n the mean v the sample standard deviation Sx the population standard deviation sx the sum of the scores Gx and the sum of the squares Gx2 Press Display u n Sx x 5 ST...

Страница 98: ...ta Points Continued Return to the first data point Display the lowest score drop it and then find the new mean v Exit STAT mode Press Display v X1 85 STAT X3 53 STAT 0 FRQ 0 0 STAT u n Sx sx 86 STAT E...

Страница 99: ...ble below shows the number of pairs of athletic shoes sold by a small shoe store Enter this information as the data points Month Total No x Brand A y April 58 X1 35 Y1 May 47 X2 28 Y2 Press Display 1...

Страница 100: ...ta Continued u If the store sells 32 pairs of shoes in June predict the June sales of Brand A When finished exit STAT mode and clear all data points Press Display u x y STAT 32 E y 32 18 45454545 STAT...

Страница 101: ...e sin 1 calculates the inverse sine cos calculates the cosine cos 1 calculates the inverse cosine tan calculates the tangent tan 1 calculates the inverse tangent Notes The examples on the transparency...

Страница 102: ...nt Use this formula to find the distance from the lighthouse to the boat Round your answer to the nearest whole number and then return to floating decimal mode D 78 TAN 27 Press Display 78 W 27 E 78 t...

Страница 103: ...erse Tangent Use this formula to find the angle of depression Round your answer to the nearest tenth and then return to floating decimal mode TAN x 600 2500 Press Display 600 W 2500 E tan 1 600 25 13...

Страница 104: ...ine Use this formula to find how far the base of the ladder is from the house Round your answer to the nearest whole number and then return to floating decimal mode D 5 x COS 75 Press Display 5 75 E 5...

Страница 105: ...verse Cosine Use this formula to find the angle of the ski jump Round your answer to the nearest tenth and then return to floating decimal mode COS x 453 500 Press Display 453 W 500 E cos 1 453 50 25...

Страница 106: ...s 100 Sine Use this formula to find the length of the ramp Round your answer to the nearest whole number and then return to floating decimal mode D 1 5 SIN 12 Press Display 1 8 5 W 12 E 1 5 sin 12 7 2...

Страница 107: ...Inverse Sine Use this formula to find the angle of the conveyor belt Round your answer to the nearest tenth and then return to floating decimal mode SIN x 13 20 Press Display 13 W20E sin 1 13 20 40 5...

Страница 108: ...tation Notes The examples on the transparency masters assume all default settings You can enter a value in scientific notation regardless of the numeric notation mode setting Press M before entering a...

Страница 109: ...03 Exponent C The Earth is 1 496 x 108 kilometers from the Sun Jupiter is 7 783 x 108 kilometers from the Sun Enter the numbers in scientific notation and determine how far away the Earth is from Jupi...

Страница 110: ...1 A displays a menu of all log functions log calculates the common logarithm base 10 10 calculates the common antilogarithm 10 raised to the power of the value entered ln calculates the natural logari...

Страница 111: ...ommon Logarithm Natural Logarithm Find log 23 rounded to 4 decimal places Then find ln 23 rounded to 4 decimal places and return to floating decimal notation Press Display 23 E log 23 1 361727836 F012...

Страница 112: ...e antilogarithm of 3 9824 rounded to 4 decimal places Then find the natural antilogarithm of 3 9824 rounded to 4 decimal places When finished return to floating decimal notation Press Display 3 8 9824...

Страница 113: ...ecifies degrees r Specifies radians 4DMS Specifies degrees minutes and seconds It also lets you convert an angle from decimal degrees to DMS notation Notes The examples on the transparency masters ass...

Страница 114: ...r Teachers 108 Degrees Minutes and Seconds to Decimal You watched 2 videos that were 2 05 2 hours and 5 minutes and 1 46 1 hour and 46 minutes in length How long did you watch videos Press Display 2 r...

Страница 115: ...999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 109 Fraction to Degrees Minutes and Seconds How much is 2 3 of an hour in hours minutes and seconds Press Display 2 3 2 3 DMS 2 3 DMS 0 40...

Страница 116: ...TS INCORPORATED TI 34 A Guide for Teachers 110 Degrees Radians Calculate the sine of 30 in degrees and radians and then return to degrees Press Display 30 E sin 30 0 5 DEG RAD sin 30 0 988O31624 RAD D...

Страница 117: ...u convert rectangular coordinates X Y to polar coordinates r or vice versa R4Pr Converts rectangular coordinate to polar coordinate r R4Pq Converts rectangular coordinate to polar coordinate q P4Rx Co...

Страница 118: ...112 Polar to Rectangular Convert the polar ordered pair 7 30 to rectangular using the angle unit y x 3 2 1 1 2 3 4 5 6 7 r 7 30 4 x y Press Display P R P Ry 7 30 E P R 7 30 6 062177826 P R P Ry 7 30...

Страница 119: ...only the fractional part of n min n1 n2 Returns the minimum min of two values n1 and n2 max n1 n2 Returns the maximum of two values n1 and n2 lcm n1 n2 Returns the least common multiple lcm of two va...

Страница 120: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 114 Absolute Value Find the absolute value of 35 Press Display abs round abs M 35 E abs 35 abs 35 35...

Страница 121: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 115 Rounding a number Round p to three digits Press Display abs round g 3 E round p 3 3 142...

Страница 122: ...XAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 116 Integer and Fractional Part Display the integer and fractional part of 4 3 8 Press Display iPart fPart 4 3 8 E iPart 4 3 8 4 4 3 8 E fPart 4...

Страница 123: ...m and Maximum Using max put the following list of numbers in ascending order 14 17 7 9 3 5 13 15 Press Display min max 7 9 14 17 E max 7 9 14 14 17 3 5 E max 7 9 3 5 7 9 13 15 E max 7 9 13 13 15 14 17...

Страница 124: ...TI 34 A Guide for Teachers 118 Least Common Multiple Use lcm to add 1 4 5 6 Then verify your answer Set FracMode to d e using d e Press Display lcm gcd 4 6 E lcm 4 6 12 1 4 3 12 5 6 10 12 Verify 1 4...

Страница 125: ...ORATED TI 34 A Guide for Teachers 119 Greatest Common Divisor Find the greatest common divisor for the fraction 27 36 Then verify your answer Set FracMode to Auto Press Display lcm gcd 27 36 E gcd 27...

Страница 126: ...1999 TEXAS INSTRUMENTS INCORPORATED TI 34 A Guide for Teachers 120 Cube and Cube Root Calculate 343 and 3 39304 Press Display 34 3 3 343 39304 3 3 3 Ans 34...

Страница 127: ...h seats 8 people If you need seats for 164 people how many additional 8 person tables do you need and how many extra seats will you have Press Display 16 V 8 16 8 128 remainder 164 128 E remainder 1 3...

Страница 128: ...3 141592654 8 Enters a decimal point M Indicates the value is negative Separates the numerator from the denominator in a fraction G Raises a value to a specified power Displays the following menu that...

Страница 129: ...characters to the right Then every time you press J it deletes 1 character to the left of the cursor I Displays a menu that lets you change the Angle mode to degrees DEG or radians RAD C Enters a valu...

Страница 130: ...nu of all log functions log Calculates the logarithm to base 10 10 Calculates the common antilogarithm 10tothegivenpower ln Calculates the natural logarithm base e where e 2 718281828459 e Raises e to...

Страница 131: ...es a random 10 digit real number between 0 and 1 RANDI Generates a random integer between 2 numbers that you specify Separate the 2 numbers with a comma h Recalls the stored values to the display Disp...

Страница 132: ...n of all x or y values Sx or Sy Sample standard deviation of x or y sx or sy Population standard deviation of x or y Gx or G y Sum of all x values or y values Gx2 or G y2 Sum of all x2 values or y2 va...

Страница 133: ...A Key Function B Displays a menu of all trig functions sin Calculates the sine sin 1 Calculates the inverse sine cos Calculates the cosine cos 1 Calculates the inverse cosine tan Calculates the tange...

Страница 134: ...ng 2nd 2nd function FIX Fixed decimal setting STAT Statistical mode DEG RAD Angle mode degrees or radians x10 Precedes the exponent in scientific notation An entry is stored in history before and or a...

Страница 135: ...r nCr or nPr n or r are not integers 0 q 1 10 where q is an angle in a trig or R4Pr function EQUATION LENGTH ERROR An entry exceeds the digit limits 88 for entry line and 47 for Stat or Constant entry...

Страница 136: ...7 8324 Customers outside the U S Canada Puerto Rico and the Virgin Islands Contact TI by e mail or visit the TI Calculator home page on the World Wide Web e mail ti cares ti com internet www ti com ca...

Страница 137: ...provinces do not allow the exclusion or limitation of implied warranties or consequential damages so the above limitations or exclusions may not apply to you Legal Remedies This warranty gives you sp...

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Содержание -34 II Explorer Plus

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