Waiting time investigation ……………………………………. 32 Playing dice simulation …………………………………………….. 33 Subtracting dice bingo …………………………………………… 34 Should you require further information refer to the booklet of instructions that was supplied with the calculator. Watch the Casio website www.casioed.net.au or contact activities with the -82AU PLUS.
Getting started After you have turned the calculator on the first step is to choose whether you want to do a calculation or to work in statistics. Press the MODE key to enter your choice of calculations (i.e. computation) or statistics.
The screen then asks for the number of decimal places 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. Refer to information on page 6 about toggling between fractions and decimals for answers in different forms.
To enter 1½ + 3¾ press 1a1a2+3a3a4p. Answers in different forms The calculator can display the answer as an improper fraction, mixed numeral or decimal and it can toggle between all three. To change 5E1E4 to a decimal press n.
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 the second bracket can be omitted if it is the last entry before p.
Negative, fractional indices The calculator can execute an impressive range of calculations with negative and positive fractional indices. Occasionally 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.
Powers and roots Determining powers Both screens show the value of 1.5 . The button pressing is the same in both modes. 1.5f3p. Determining roots The F button is used to determine roots. The screens show the value of the 5 root of 1024.
A D at the top of the screen indicates that the calculator is set to degrees. An R indicates radians and G gradients. Gradients are NEVER used in trigonometry in Australian schools.
Press SHIFT x to express 57.33908 in degrees, minutes and seconds. Changing radians into degrees or degrees into radians When you 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.
Hint! When you are going to work in statistics start with the calculator turned off. Then you know all the statistics memories are empty. The data is cleared automatically when the calculator is turned off or the statistics menu is exited.
Page 13
Start with the calculator turned off. Turn the calculator on then set the calculator to statistics (MODE 2) and press 1 for 1 variable statistics. If the calculator has a frequency column showing turn the frequency off by pressing SHIFT, MODE (SET UP), REPLAY down, 3 for statistics then 2 for ‘off‛.
Page 14
The mean is 5.9 and the standard deviation is 2.8792 to 4 decimal places. Entering scores with their frequency Turn the calculator off to clear then memories. Turn it on then press MODE, select 2 for statistics and 1 for 1-VAR. If there is no frequency column press SHIFT, SET UP, replay down, 3 (for statistics) then 1 to turn the frequency on.
Using Ran# If you want the number to be displayed as 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.
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 to the value already in the memory.
This calculator ‘knows‛ sophisticated order of operations. In addition to the usual order of operations this calculator ‘knows‛ that in expressions like 8 ¸ 2p or 8 ¸ 2Ö2 the correct order is 8 ¸ (2p) and 8 ¸ (2Ö2). It is not necessary to include the brackets in the key strokes.
Then press 1for dot. Answers to fractions calculations are improper fractions There are several ways to deal with this issue. You can set the calculator to always display answers as a mixed numeral (see instructions below), or you can make use of N, the second function of the n button to toggle between mixed numerals and improper fractions and decimals.
Page 19
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.
1 as a decimal. 4 7 2. Express 2 as an improper fraction. 8 3. Change 0.135 to a fraction. 4. Write 2.65 as an improper fraction. 11 5. What is as a mixed numeral? 5 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 13. What improper fraction is equivalent to 8 as a fraction in its simplest form. (Enter the fraction then press p.) 14. Express 12 ...
1 The screen shot shows the calculator converting 25% to a fraction. Enter 25% by pressing 25SHIFT( followed by p to check the value of 25% as a fraction. 2 Express each percentage as a fraction. A 50% B 75% 1 F 200% G % 2 3 Express each percentage as a decimal. Hint! Express the percentage as a fraction then press the n button. A 45% B 79% F 245% G 1000% 4 The screen shot shows the solution to the problem ‘Increase 40 by 10%’. Check the 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%. ...
Practise the calculator fractions skills outlined on pages 6 and 7 with the following questions that involve fractions. Remember to use the round replay button to position the cursor correctly when you are using MathIO. 3 1. Evaluate and express your answer as a mixed numeral, improper fraction + and a decimal. 2 2. Express as a fraction. ´ 3. Write the value of 1 - as a fraction. 3 4. Evaluate ´ and express your answer as an improper fraction. 5 5. Write the answer to 1 6. Find the value of 3 7. Calculate + . Write your answer as a mixed numeral. 5 3 8. Find the value of ...
8. What is the value of 8.3 2.5 9. Find the value of 11.75 correct to two decimal places. 10. What is the value of 11. The calculation 1.07 Calculate the value of the investment in 3 years time correct to the nearest cent. 12. Calculate the value of 2 rh correct to 1 decimal place. 13. The screen capture shows a calculation. A How do you know the calculator is set in scientific notation, not Norm1 or 2? B How many significant figures is the calculator set to display? C Express the answer without any rounding or scientific notation. Answers 4 1 6.5 10 ´ 2 6800 3 3 250 000 8 20.75 9 138.06 10 5 ...
Button procedures for roots and exponents are on pages 7 to 9. Remember that you can use the n button to toggle between fractions and decimals if you want your answer in a different form. 1. Use the d button to find the value of the following squares. 2 2 11 A 5 B 2. Use the „ button to calculate the value of the following cubes. 3 3 A 2 B 6 3. Use the f button to calculate the following quantities. 7 1.5 2 A B 16 - 5 ( ) ( ) 1 27 8 4. Use the s button to find the following roots. A ...
The instructions for working with trigonometry are on pages 10 and 11. Check your calculator settings! 0 The statement sin 30 = screens are displaying the wrong value for Set your calculator to degrees before you start the following practice questions. 1 Find the value of the following expressions correct to 2 decimal places. 0 A 43.6 sin 52 2 Determine the value of A cos = 0.743 5 D = 4 ...
The button pressing sequence for statistics is on pages 12 to 15. Remember! · When you have finished entering the data you must press C to tell the calculator that you have completed entering the scores. · When you press SHIFT14 then 2 to bring up the value of the mean you must press p to display the value. This is particularly important when you proceed to find the second piece of information, e.g. the standard deviation. Practise your statistics skills with the following questions. 1 Set your calculator to statistics and turn the frequency list off. A Enter the scores 16, 19, 5, 11, 15, 12 and 9. B Determine the value of the mean, ( x ) to 2 decimal places. C What is the value of the standard deviation ( D Determine the sample standard deviation ( 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. B Determine the size of n, the number of scores. C What is the value of the mean? ...
Remember! You must clear the memory before you place anything in the memory. If you forget to clear the memory the calculator will add the new value to the value that is already in the memory. The instructions for clearing the memory are on page 16. 1 In which of the following calculators is a number stored in the memory? 2 Clear the memory on your calculator and place the value of p in the memory. Use the Jmp buttons to determine the value of the following expressions. Express each answer correct to 2 decimal places. A 2 + p B 2p 3 Store the result of the calculation 3 + 8.1 in the memory, then determine the value of each expression. A (3 + 8.1) ´ 4.5 Hint! If you are not getting the 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 D $260 camera 5 If you want to determine the amount of GST included in a price, divide the price by 11. Use the calculator memory to determine the amount of GST in each price. A $132 pair of jeans C $5.72 bus ticket ...
Remember! The small c in the expression degrees to radians, or the reverse, you must have the calculator set on the measure you are changing into. The button pressing sequence for degrees Û radians and changing degrees into degrees and minutes is on page 11. Note! The only times when the degrees or radians setting is relevant is when you are converting between degrees and radians or when you are going to press one of the j k or l buttons. 1 Express radians in degrees. 0 2 Convert 30 into radians, correct to 3 decimal places. 3 Express radians in degrees. ' 4 Convert 55 30 into radians. Express your answer correct to 3 decimal places. c 5 Express 1.8 in degrees, correct to the nearest minute. 6 Determine the following values correct to 3 decimal places. c A tan1.6 ...
1 Use your calculator to evaluate each expression correct to 3 decimal places. A log 105 10 D log 0.5 e ( ) 2 A Enter - into your calculator. 1 B Explain why your calculator displays the message “Math ERROR”. 3 Your calculator has two e buttons. You can find the value of e as the alpha function on K. The value of e on h. A Determine the value of e using Q K p. Answer to 4 decimal places. B Find the value of 1. Determine the following values correct to 2 decimal places. 2.5 A e 4 Calculate the values of the following expressions. 2 ...
Page 30
1. The youngest ANZAC soldier to die in the Gallipoli Campaign was James Martin. He was a 14yearold Australian. In which of the school years, Year 7, Year 9 or Year 11, would a 14yearold boy be included today? 2. Major Frank Chapman from New Zealand was the oldest ANZAC to die in Gallipoli. He was 57 years old. What was the range in ages of ANZAC soldiers who died in the Gallipoli Campaign? 3. This table shows a random sample of the ages of 520 ANZAC soldiers who died in Gallipoli. 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 express this fraction in its simplest form. D Set your calculator to statistics and enter the class centres in the score column and the frequencies in the frequency column. Remember to press p after you enter each value. If you want to change a value, highlight the value and type over it. When you’ve finished entering all the values press C. Then press SHIFT 1 (STAT) and 4 (Var). Press 2 p to find the mean age of the sample of soldiers killed in the Gallipoli Campaign. 1 The random sample information used in this activity was obtained from information on the Australian War Memorial, Canberra website. Gallipoli Ages Class Frequency (class) centres 16 20 ...
Waiting time investigation On average, how long do customers wait in your school canteen queue before they have completed their purchases? In this activity you will be investigating this question and evaluating the results. Equipment required · A watch that measures time in minutes and seconds · Pen and paper for recording results · A Casio fx82AU PLUS calculator What you have to do · In groups of 3 assign each person one of the roles of timer, recorder or customer selector. · Arrange for different groups to measure customerwaiting times at the beginning, middle and end of buying times. · To make sure your results are valid it is important to choose a random sample of customers to time. The ‘customer selector’ will use the calculator’s random number generator to choose customers. Set the calculator to Line10 and fix the display to show 2 decimal places. When you press SHIFT . p the calculator will show a decimal number. If the random number is less than 0.50 select the next customer that joins the line to time. Each time you press p another random number will be displayed. · The ‘timer’ measures the 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 · ...
Simulation 1 When you roll a pair of normal, 6sided dice together and add the numbers showing, what is the most likely total? What you have to do · Enter the formula RanInt#(1,6) + RanInt#(1,6) into your calculator. Each time you press p the calculator will simulate another roll of the dice. · Record the number displayed by your calculator each time you press p in the table. Simulate the dice rolls at least 40 times. Total of the dice Discussion questions · What is the most common total when the numbers on a pair of dice are added? Why does this number occur more · · What are the two rarest totals? Simulation 2 Andrew and Imran are rolling a pair of normal, 6sided 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 you press any values that are not 6, 7 or 8. Record whether two sums of 7 or a sum of 6 and a sum of 8 ...