Casio fx-82AU PLUS, Using Manual

Page 1: ...o fx 82AU PLUS Scientific Calculator Techniques and activities Sue Thomson and Shriro Australia PTY Limited Casio Education division The pages and activities included in this publication may be copied for classroom use ...

Page 2: ...nder the conditions described in the Copyright Act 1968 of Australia and subsequent amendments without the prior written permission of the copyright owners The copyright owners intend these instructions and worksheets to be reproduced in numbers sufficient for use by individual students in the classroom Permission is therefore granted for teachers to reproduce the pages in quantities for non comme...

Page 3: ...ce sheets Fractions and decimals 20 Percentages 21 Working with fractions 22 Fix scientific notation and norm 23 Roots and exponents 24 Trigonometry 25 Statistics 26 Using the memories 27 Degree Û Radians 28 Logs natural logs and e 29 Activities and worksheets for students Gallipoli Australia and New Zealand join WWI 30 31 Waiting time investigation 32 Playing dice simulation 33 Subtracting dice b...

Page 4: ...p calculations menus The calculations menu offers you the choice of how you would like the maths displayed The choices are MthIO the way we write maths or Line IO the way calculators have traditionally displayed maths The following screens show an example of the two options MthIO mode LineIO mode Selecting Math MthIO or LineIO When you are in the comp mode press SHIFT MODE SET UP and the following...

Page 5: ...t forms Answers expressed in scientific notation When you are in the comp mode press SHIFT MODE SET UP and the above screen will be displayed Press 7 The screen then asks for the number of significant figures required Press the number you want and the calculator will continue to display all numbers in this form until you instruct it to do otherwise Setting the calculator back to normal When you ar...

Page 6: ...r as an improper fraction mixed numeral or decimal and it can toggle between all three To change 5E1E4 to a decimal press n To change either 5 25 or 5E1E4 into an improper fraction press SHIFT nN Fractions in the Math mode To enter a traditional fraction for example press a1 then use the bottom of the replay button to position the cursor on the denominator and press 2 To enter a mixed numeral for ...

Page 7: ...st form Enter the fraction followed by p OR Reciprocals The u button will find the reciprocal of a fraction To find the reciprocal of 1 enter the fraction and press p then up OR Fractional indices The fraction button can be used as an index OR In the Math mode the button pressing is 32fa3R5p In the line mode the button pressing is 32f3a5p Note The first bracket is supplied by the calculator and th...

Page 8: ...asionally the whole screen can t be displayed in the math mode but the calculation remains possible Naturally the following calculations can be executed in the line mode Þ Þ Powers math mode and brackets Provided the cursor is placed appropriately brackets can be omitted Observe the above calculations in the math mode entered without brackets Þ ...

Page 9: ...d to determine roots The screens show the value of the 5th root of 1024 The button pressing in each mode is shown below the screens OR In the maths mode SHIFT f5 1024p In the line mode SHIFT f1024 5 Using the M feature The M button allows a calculation to proceed using the previous answer In both modes the button pressing used to produce the following screens was sMp ...

Page 10: ...et in radians Instructions to change the calculator from degrees to radians or radians to degrees are on page 5 Entering trigonometric expressions Enter the trigonometric ratio followed by the angle The calculator will insert a left hand bracket but entering a close brackets is not required Degrees minutes and seconds The x button is used for entering degrees minutes and seconds The button sequenc...

Page 11: ... are converting angle types you MUST have the calculator set to the type of angle you are converting INTO Radians to degrees The calculator is set in degrees In the Maths mode the button sequence used was aSHIFTKR2 SHIFTM2p In the line mode the sequence is SHIFTKa2 SHIFTM2p Degrees to radians The calculator is set in radians In Maths or line mode the button sequence is 50SHIFTM1p ...

Page 12: ...stics one of two different screens will appear The screen displayed will depend on whether frequency on or off was selected the previous time the calculator used statistics OR The first screen allows you to enter scores one after the other The second allows you to enter scores with their frequencies Turning frequency on or off You can turn the frequency on or off in the SET UP menu which is the se...

Page 13: ...for off Step 2 Press 4 then p6p2p and so on until you have pressed 5p If you make a mistake don t worry Simply scroll up to the wrong score and type the correct value over it If you ve left a value out just put it at the end If you ve put in an additional score that you don t require highlight the score and press o The incorrect score will be removed and the following scores moved up one position ...

Page 14: ...ous page The mean The screen should be the same as at the bottom of page 13 Press 4 Var 2 for mean then you must press p to bring up the value of the mean The standard deviation To find the standard deviation press SHIFT 1 4 Var 3 for standard deviation then you must press p to bring up the value The mean is 5 9 and the standard deviation is 2 8792 to 4 decimal places Entering scores with their fr...

Page 15: ...s a decimal set the calculator to work in LineIO In MathIO the random numbers are displayed as fractions Press q p and a random decimal will be displayed Each time you press p another random number will be displayed Random number formulas Random numbers can be incorporated into calculations For example the formula 1 2 Ran will generate random numbers between 1 and 3 Each press of p will generate a...

Page 16: ...cleared by pressing 0 q J STO m Store the result of a calculation by pressing m In the above screen 15 is stored in the M memory The button sequence to add the memory to 12 is 12 Jmp Caution The calculator remembers the values stored in the memories even after the machine has been turned off If you place a value in the memory without first clearing the memory the calculator will add the new value ...

Page 17: ...sponding to your required action then follow the screen prompts Editing a calculation Use the left or right side of the replay button to position the cursor Pressing the o key will delete the entry immediately to the left of the cursor If you want to insert a digit or operation use the round replay button to position the cursor then press the required button An insert function is available as the ...

Page 18: ...ction of the n button to toggle between mixed numerals and improper fractions and decimals If you want to set the calculator to answer as a mixed numeral Solution In the calculations menu press SHIFT MODE SET UP then arrow down by pressing the bottom of the round replay button Press 1 for mixed numeral or 2 if you want to change to improper fractions The calculator is set to Maths mode but the fra...

Page 19: ...follow the instructions on the screen The calculator is frozen In the middle of the back of the calculator there is a small hole Press in the middle of the hole with a fine tipped biro In statistics the calculator is pasting the value of the mean in place of a score in the data list You haven t pressed C to indicate that you have finished entering the scores The calculator is treating the mean as ...

Page 20: ...65 as an improper fraction 5 What is 11 5 as a mixed numeral 6 Enter 5 into your calculator by pressing 5 SHIFT Press p and n to express 5 as a decimal and as a fraction 7 Express 36 as a fraction 8 What is 8 as a decimal 9 What number is equivalent to 125 10 Express 45 as a fraction 11 Write 8 5 as a decimal 12 What decimal is equivalent to 3 8 13 What improper fraction is equivalent to 2 5 4 14 ...

Page 21: ...he calculation by pressing 40 10SHIFT O40p Determine the following amounts A Increase 60 by 10 B Increase 75 by 25 C Decrease 80 by 20 Hint Remember decrease means make smaller D Decrease 120 by 30 E Increase 90 by 25 then decrease the result by 25 5 The local sports store is having a 15 off sale Gillian is going to buy a pair of running shoes that normally cost 165 How much will the running shoes...

Page 22: ... answer as a mixed numeral 8 Find the value of 2 3 5 Write your answer as a fraction and as a decimal 9 Calculate the value of 9 16 1 and express your answer as an improper fraction 10 Evaluate 3 1 1 4 2 2 2 1 Express your answer as a mixed numeral 11 Find a decimal value for 4 2 4 5 5 5 1 5 12 The u button produces the reciprocal of a fraction Enter 2 5 u and record the reciprocal of 2 5 as an im...

Page 23: ... 9 Find the value of 2 11 75 correct to two decimal places 10 What is the value of 5 4 4 1 10 8 75 10 correct to the nearest whole number 11 The calculation 3 1 07 1260 gives the value of an investment in 3 years time Calculate the value of the investment in 3 years time correct to the nearest cent 12 Calculate the value of 2 rh p when r 17 6 and h 11 8 Express your answer correct to 1 decimal pla...

Page 24: ...2 3 27 8 G 1 2 11 25 1 H 1 2 3 16 2 4 Use the s button to find the following roots A 2809 B 23104 C 2 2 48 55 D 2 2 65 56 E 2 6 4 1 8 F 2 43 4 6 55 5 Use the SHIFT then f buttons to find the value of the following roots Express each answer correct to one decimal place A 4 700 B 5 620 C 8 11 D 2 3 4 3 5 6 Express the following values as whole numbers or mixed numerals A 5 1 2 1 B 7 9 2 C 2 1 5 D 3 ...

Page 25: ...s Express each answer correct to 2 decimal places A 0 8sin 41 28 B 0 12 3cos62 50 C 0 7 4tan 42 13 4 Enter each angle press p then SHIFT followed by x to express each of the following angles in degrees and minutes and seconds A 0 73 65 B 0 44 78 C 0 25 64 5 Determine the value of a correct to the nearest minute Remember that there are 30 seconds to the minute A tan 1 26 a B sin 0 634 a C cos 0 25 ...

Page 26: ...ation n s to 3 decimal places D Determine the sample standard deviation 1 n s correct to 3 decimal places 2 Clear the data in the statistics list The easiest way to clear the data is to turn the calculator off Alternatively set the calculator to comp then back to statistics 3 Set the calculator to statistics with the frequency on A Enter the data in the table into the calculator Scores Frequency 5...

Page 27: ...he answers at the bottom of the page you may not have cleared the memory properly before you started 4 In Australia a 10 GST is added to prices to determine the final selling price Increasing an amount by 10 is the same as multiplying the amount by 1 1 Place 1 1 in the calculator s memory then determine the final price of each item A 32 book B 3 20 ice cream C 20 hair cut D 260 camera D 33 000 car...

Page 28: ...etermine the following values correct to 3 decimal places A c tan1 6 B c cos1 2 C 0 sin54 28 7 Determine the value of 2 1 2 r q when r 6 4 and c 1 9 q 8 Evaluate 2 1 2 sin r q q when r 11 7 and c 0 8 q Express your answer correct to 2 decimal places 9 Solve the equations for q 2 0 p q Express each answer correct to 3 decimal places A sin 0 4 q B cos 0 128 q C tan 1 7 q 10 Determine the value of q ...

Page 29: ...A Determine the value of e using Q K p Answer to 4 decimal places B Find the value of 3 e to 2 decimal places by pressing SHIFTh3 1 Determine the following values correct to 2 decimal places A 2 5 e B 1 e C e 4 Calculate the values of the following expressions A 2 loge e B 3 loge e C loge e D 1 loge e F 10 log 100 G 1 10 log 10 5 What is the value of log n e e You ll have to use your brain for thi...

Page 30: ...soldiers who died in Gallipoli Ages class Class centres Frequency 16 20 18 78 21 25 23 226 26 30 28 110 31 35 33 58 36 40 38 36 41 45 43 9 46 50 48 3 Use the information in the table to answer these questions A What is the modal class B In this context what does the mode represent C What fraction of the soldiers in the sample were 25 years old or less when they were killed Use your calculator to e...

Page 31: ...en Of these men 631 were officers and 29 369 were enlisted men A Of the 631 officers only about one sixth had previous war experience How many of the officers had no previous war experience B Calculate the percentage of the first Division who were officers C In the random sample of 520 ANZAC soldiers killed in the Gallipoli Campaign only 1 man was an officer the remaining 519 men were enlisted Wha...

Page 32: ...he time from when the selected customer joins the queue until they move away from the counter Record the time for at least 10 randomly selected customers Calculating the mean average time Set the calculator to statistics by pressing MODE then 2 for stats then 1 for 1 VAR Use the x button to enter the waiting times in minutes and seconds e g enter 2 minutes and 35 seconds by pressing 2 x 35 x and t...

Page 33: ...rs What are the two rarest totals Simulation 2 Andrew and Imran are rolling a pair of normal 6 sided dice Andrew thinks that a sum of 7 will occur twice before a sum of 6 and a sum of 8 happens Imran doesn t agree He thinks that a sum of 6 and a sum of 8 before two sums of 7 Your task is to determine who is right What you have to do Enter the formula RanInt 1 6 RanInt 1 6 into your calculator When...

Page 34: ...rossed out is the winner Your challenge is to determine the best set of 9 numbers to use in this game What you have to do Enter the formula the absolute value of RanInt 1 6 RanInt 1 6 into your calculator by pressing the following sequence of buttons eQ 1SHIFT 6 Q 1SHIFT 6 p Each time you press p another simulation value will be displayed Simulate the roll of the dice at least 50 times and record ...