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Calculator Activity

INVERSE TRIGONOMETRIC FUNCTIONS

OBJECTIVE:

To perform operations with inverse trigonometric functions.

1. Find

in degrees when

1

tan

STEP 1: Set the angular units to degrees by pressing

.

STEP 2: Enter

)

1

(

tan

1

by pressing

.

STEP 3: Calculate the answer by pressing

.

2. Find

in degrees when

0

cos

STEP 1: Set the angular units to degrees by pressing

.

STEP 2: Enter

)

1

(

cos

1

by pressing

.

STEP 3: Calculate the answer by pressing

.

3. Find

in radians when

2

2

sin

STEP 1: Set the angular units to radians by pressing

.

STEP 2: Enter

)

2

2

(

sin

1

by pressing

.

STEP 3: Calculate the answer by pressing

.

21

Summary of Contents for ELW535B - WriteView Scientific Calculator

Page 1: ...EL W535B Calculator Teaching Activities For The Classroom Jeremy Ross ...

Page 2: ...s reserved This publication may not be reproduced stored in a retrieval system or transmitted in any form or by any means electronic mechanical photocopying recording or otherwise without written permission Sharp is a registered trademark of Sharp Corporation ...

Page 3: ...tivity Practice Activity TRIGONOMETRIC FUNCTIONS Calculator Activity Practice Activity INVERSE TRIGONOMETRIC FUNCTIONS Calculator Activity Practice Activity COORDINATE CONVERSIONS Calculator Activity Practice Activity LOGARITHMS Calculator Activity Practice Activity INVERSE LOGARITHMS Calculator Activity Practice Activity BASE CONVERSIONS Practice Activity Practice Activity RANDOM NUMBERS DIE COIN...

Page 4: ...1 VARIABLE STATISTICS Calculator Activity Practice Activity 2 VARIABLE STATISTICS LINEAR REGRESSION Calculator Activity Practice Activity ANSWERS 35 36 37 38 39 ...

Page 5: ...1 ...

Page 6: ...eering notation press and then enter the desired TAB setting To set the floating point number system in scientific notation press either or to choose NORM1 or NORM2 To choose WriteView which displays formulas and equations just like textbooks press followed by Then press For Line Editor press followed by Then press If in Line Editor you can choose an entry mode by pressing and then for insert and ...

Page 7: ...arithms Press Enter the number Then press Base Logarithms If in WriteView mode press Enter the base Then press and enter the number Then press If in Line Editor press Enter the base Then press Enter the number Then Press Higher roots Enter the index Press followed by Enter the radicand Then press Cube roots Press Enter the radicand Then press Reciprocals Enter the number Press followed by Then pre...

Page 8: ...will be recalled Enter the number Then press Definable Memories You can store functions or operations in definable memories D1 D4 Press Press the location you wish to store your function Press the operation you want to store Change You can change your answer from decimals to mixed numbers to fractions by pressing Also you can change your answer from decimals or fractions to answer containing the p...

Page 9: ...lue Press Enter the expression Press Binary To convert from one of the supported base systems into binary enter the number Then press Hexadecimal To convert from one of the supported base systems into hexadecimal enter the number Then press Octadecimal To convert from one of the supported base systems into octadecimal enter the number Then press Decimal To convert from one of the supported base sy...

Page 10: ...amples and the keystrokes required to enter each problem From these simple examples more complicated expressions can be easily entered 9 2 1 3 1 4 3 2 3 2 17 4 3 2 3 2 1 33 153 e ln 10 log 4 log2 2 3 10 e 30 sin 0 cos 1 78 tanh 3 5 10C 1 6P 6 ...

Page 11: ...nd practice sheets found in this book have been designed to be used with the Sharp EL W535B calculator The activities have been written and developed for students in grades nine through twelve Some of the activities will be more appropriate for students in a particular grade while others could be used at any grade level Of course the classroom teacher can and should make the decision as the approp...

Page 12: ... was designed with you and your students in mind The following activities have been written to provide the practice students need to succeed in mathematics as they become familiar with the wonderful features of this exciting and powerful mathematical tool 8 ...

Page 13: ...by pressing STEP 2 Add by pressing STEP 3 Enter 54 by pressing STEP 4 Find the first sum by pressing STEP 5 Add 13 again by pressing 2 Subtract 9 from 32 once STEP 1 Enter 32 by pressing STEP 2 Subtract by pressing STEP 3 Enter 9 by pressing STEP 4 Find the difference by pressing 3 Multiply 2 by 5 three times STEP 1 Enter 2 by pressing followed by STEP 2 Multiply by pressing STEP 3 Enter 5 by pres...

Page 14: ...is by adding 3 6 ___ ___ ___ ___ 4 Find the first three numbers of the sequence starting with 144 where each additional term is found by dividing by 2 144 ___ ___ 5 Find the first six terms of the sequence starting with 729 where each additional term is found by dividing by 3 729 ___ ___ ___ ___ ___ 6 Find the first three terms of the sequence starting with 1 where each additional term is found by...

Page 15: ... 1 Then convert to a decimal STEP 1 Enter 2 1 by pressing STEP 2 Subtract by pressing STEP 3 Enter 13 5 by pressing STEP 4 Find the difference by pressing STEP 5 Convert to a decimal by pressing 3 Simplify 3 2 6 4 3 1 Then convert to an improper fraction STEP 1 Enter 4 3 1 by pressing STEP 2 Multiply by pressing STEP 3 Enter 3 2 6 by pressing STEP 4 Find the product by pressing STEP 5 Convert to a...

Page 16: ...etic mean of the following fractions 16 1 4 1 2 1 2 Find the arithmetic mean of the following fractions and convert to a decimal 12 5 11 4 10 3 9 2 8 1 3 Simplify 5 1 9 7 6 20 1 1 4 Simplify 8 7 6 5 4 3 2 1 5 Simplify 3 1 2 1 1 3 1 2 1 1 6 Simplify 11 6 2 1 11 6 2 1 8 5 3 3 4 and convert to an improper fraction 7 Simplify 6 1 6 2 3 5 8 8 Simplify 2 2 2 4 5 4 5 2 12 ...

Page 17: ... Calculate the answer by pressing 2 Calculate 6 5 3 STEP 1 Enter 5 3 by pressing STEP 2 Raise the expression to the 6th power by pressing STEP 3 Calculate the answer by pressing 3 Calculate 3 1 5 STEP 1 Enter 3 by pressing STEP 2 Enter 1 5 by pressing STEP 3 Calculate the answer by pressing 4 Evaluate 4 2 STEP 1 Enter 4 2 by pressing STEP 2 Calculate the answer by pressing 13 ...

Page 18: ... 1 Simplify 2 2 2 2 2 5 4 3 2 1 ____________________________ 2 Simplify 5 4 3 2 1 ____________________________ 3 Is 7 3 7 3 2 2 2 Explain your answer ____________________________ ____________________________ ____________________________ 4 Simplify 3 3 2 ____________________________ 5 Simplify 3 33 2 ____________________________ 6 Simplify 2 2 2 4 5 5 2 2 2 4 5 5 2 2 ____________________________ 14...

Page 19: ...ise 2 to the third power by pressing and then STEP 5 Calculate the answer by pressing 2 Edit the previous equation and solve the volume of the sphere given the radius is 1 Then convert the answer to a decimal STEP 1 Recall the previous equation by pressing or STEP 2 Move the cursor so it is to the immediate right of the third power STEP 3 Delete the power the parenthesis the 2 and the square root ...

Page 20: ...the sphere whose radius is 6 ____________________________ 2 Find the volume of the sphere whose radius is 5 ____________________________ 3 Find the volume of the sphere whose radius is 9 ____________________________ 4 Find the volume of the sphere whose radius is 10 ____________________________ 5 Find the volume of the sphere whose diameter is 10 ____________________________ 6 Find the volume of a...

Page 21: ... conversion press and then choose the appropriate angular units 1 Convert 45 to radians and grads STEP 1 Set the angular units to degrees by pressing STEP 2 Enter 45 by pressing STEP 3 Convert to radians by pressing STEP 4 Convert to grads by pressing 2 Convert 58 23 11 to decimal degrees STEP 1 Enter 58 23 11 by pressing STEP 2 Calculate decimal degrees by pressing STEP 3 Convert to a decimal by ...

Page 22: ...n radians _____________________ 2 A pentagon has four angles which are 30 30 60 and 100 Find the missing angle and express your answer in grads _____________________ 3 A triangle has two angles which are 100 grads and 20 grads Find the missing angle and express your answer in radians _____________________ 4 A hexagon has five angles which are 5 1 radians 3 radians 4 radians 5 radians and radians F...

Page 23: ...ab b a c 1 Using the law of sines find the length of side a given 4 53 37 b STEP 1 Set the angular units to degrees by pressing STEP 2 Multiply 4 by 37 sin by pressing STEP 3 Divide by 53 sin by pressing 2 Using the law of cosines fine the length of c given radians b a 2 12 5 STEP 1 Set the angular units to radians by pressing STEP 2 Add 2 5 and 2 12 by pressing STEP 3 Subtract 2 cos 12 5 2 by pre...

Page 24: ... c b a The law of cosines is cos 2 2 2 2 ab b a c 1 Given 11 63 30 a determine the length of side c ___________________ 2 Given 16 grads 69 grads 123 b find the length of side a ___________________ 3 Given 5 1 40 30 b a radians find the length of side c ___________________ 4 Given 45 30 15 c a find the length of side b ___________________ 5 Given 100 23 13 c b grads find the length of side a using...

Page 25: ...ressing STEP 2 Enter 1 tan 1 by pressing STEP 3 Calculate the answer by pressing 2 Find in degrees when 0 cos STEP 1 Set the angular units to degrees by pressing STEP 2 Enter 1 cos 1 by pressing STEP 3 Calculate the answer by pressing 3 Find in radians when 2 2 sin STEP 1 Set the angular units to radians by pressing STEP 2 Enter 2 2 sin 1 by pressing STEP 3 Calculate the answer by pressing 21 ...

Page 26: ...ng angle The law of sines is sin sin sin c b a The law of cosines is cos 2 2 2 2 ab b a c 1 Given 23 7 2 b a find in grads ___________________ 2 Given 94 21 34 c a grads find in radians ___________________ 3 Given 5 4 3 c b a find in degrees ___________________ 4 Given 17 24 40 c b a find in radians ___________________ 5 Given 13 12 5 c b a find in degrees ___________________ 22 ...

Page 27: ...ounterclockwise from the positive x axis 1 While in degrees convert the rectangular coordinates 1 1 to polar coordinates STEP 1 Set the angular units to degrees by pressing STEP 2 Enter 1 1 by pressing STEP 3 Convert to polar coordinates by pressing 2 While in radians convert the polar coordinates of 60 2 2 to rectangular coordinates STEP 1 Set the angular units to radians by pressing STEP 2 Enter...

Page 28: ...While in degrees convert the rectangular coordinates 2 2 to polar coordinates r ______ __________ r ______ __________ 2 While in radians convert the rectangular coordinates 3 3 2 to polar coordinates r ______ __________ r ______ __________ 3 While in degrees convert the polar coordinates 5 3 4 to rectangular coordinates y x ______ __________ x ______ __________ y 4 While in degrees convert the pol...

Page 29: ...essing 2 Find 10 log STEP 1 Enter log by pressing STEP 2 Enter 10 by pressing STEP 3 Calculate the answer by pressing 3 Find e ln STEP 1 Enter ln by pressing STEP 2 Enter e by pressing STEP 3 Calculate the answer by pressing 4 Find 2 lne STEP 1 Enter ln by pressing STEP 2 Enter 2 e by pressing STEP 3 Calculate the answer by pressing 5 Find 4 log2 STEP 1 To enter 2 log press STEP 2 Enter 4 by press...

Page 30: ... the unknown 1 Solve for x 123 log 2 5 x _____________________ 2 Solve for y 3 ln 1 5 21 y _____________________ 3 Solve for z 2 36 log 54 6 z _____________________ 4 Solve for x 2 1 ln 100 log e x _____________________ 5 Solve for y 2 21 ln 100 log y _____________________ 6 Solve for z 200 ln 25 log 32 log2 z _____________________ 26 ...

Page 31: ... the answer by pressing 2 Find 3 6 10 in scientific notation with three significant figures STEP 1 Set the calculator to scientific notation with three significant figures by pressing STEP 2 Press STEP 3 Enter 6x3 by pressing STEP 4 Calculate the answer by pressing 3 Find 3 4 7 e STEP 1 Enter e by pressing STEP 2 Enter 3 4 7 by pressing STEP 3 Calculate the answer by pressing 27 ...

Page 32: ...uations for the given unknown 1 Solve for x 2 6 5 10 2 x _____________________ 2 Solve for y 2 5 e y _____________________ 3 Solve for z 3 2 10 3 1 z _____________________ 4 Solve for x 4 5 2 5 10 e x _____________________ 5 Solve for y 1 3 10 2 2 e y _____________________ 6 Solve for z 1 3 2 6 3 2 10 10 e z _____________________ 28 ...

Page 33: ...ary by pressing STEP 2 Enter 10011001 by pressing STEP 3 Convert to decimal by pressing 2 Convert the hexadecimal number 16841601 to octadecimal STEP 1 Set the calculator to hexadecimal by pressing STEP 2 Enter 16841601 by pressing STEP 3 Convert to octadecimal by pressing 3 Convert the decimal number 144169 to pentadecimal STEP 1 Set the calculator to decimal by pressing STEP 2 Enter the number 1...

Page 34: ...cimal ____________________________ 2 Convert the hexadecimal number 123 to binary ____________________________ 3 Perform the indicated operations in hexadecimal and then convert your answer to octadecimal 12 3 2 2 8 ____________________________ 4 Perform the indicated operations in decimal and then convert your answer to binary 24 36 6 1 3 15 ____________________________ 5 Convert the binary numbe...

Page 35: ...ress STEP 2 To generate random dice throws press STEP 3 Generate the first random dice throw by pressing STEP 4 Generate the second random dice throw by pressing STEP 5 Generate the third random dice throw by pressing 3 Generate 3 random coin tosses STEP 1 Press STEP 2 To generate random coin flips press STEP 3 Generate the first random coin flip by pressing STEP 4 Generate the second random coin ...

Page 36: ...___ ___ ___ ___ ___ 3 Generate a sequence of 10 random coin flips ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ 4 Generate a sequence of 3 random integers ___ ___ ___ 5 Generate a sequence of 12 dice throws and based on that sequence what is the probability of rolling a 6 ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ _______________ 6 Generate a sequence of 10 random coin flips and based on that seque...

Page 37: ... many different ways can you choose 1 from a group of 6 STEP 1 Enter the larger number 6 by pressing STEP 2 Enter the combination symbol by pressing STEP 3 Enter the smaller number 1 by pressing STEP 4 Calculate the answer by pressing 3 Find the number of permutations of 4 things taken 2 at a time STEP 1 Enter the larger number 4 by pressing STEP 2 Enter the permutation symbol by pressing STEP 3 E...

Page 38: ...ss of 10 where order does matter ____________________________ 3 How many sets of 3 officers can be formed from a group of 15 where order does not mater ____________________________ 4 How many sets of 3 officers can be formed from a group of 15 where order does matter ____________________________ 5 Evaluate 5 ____________________________ 6 What is 0 What is 1 Explain why the answer is so __________...

Page 39: ...y pressing STEP 3 Enter 25 by pressing STEP 4 Enter 35 two times by pressing STEP 5 Enter 50 by pressing STEP 6 To determine the mean of the sample press STEP 7 To determine the sample mean standard deviation press STEP 8 To determine the population standard deviation press STEP 9 To determine the number of samples press STEP 10 To determine the sum of the samples press STEP 11 To determine the su...

Page 40: ...____________ x ______________ 2 x ______________ 2 Analyze the set 25 25 20 15 10 x ______________ sx ______________ x ______________ n ______________ x ______________ 2 x ______________ 3 Analyze the set 8 5 3 2 1 1 x ______________ sx ______________ x ______________ n ______________ x ______________ 2 x ______________ 4 Analyze the set 32 16 8 4 2 1 x ______________ sx ______________ x _________...

Page 41: ... for x press STEP 8 To determine the population standard deviation for x press STEP 9 To determine the number of samples for x press STEP 10 To determine the sum of the samples for x press STEP 11 To determine the sum of squares of samples for x press STEP 12 To determine the mean of the samples for y press STEP 13 To determine the sample mean standard deviation for y press STEP 14 To determine th...

Page 42: ..._____________ x ______________ n ______________ x ______________ 2 x ______________ y ______________ sy ______________ y ______________ y ______________ 2 y ______________ a ______________ b ______________ 2 Analyze the set and run a linear regression X 1 2 3 4 5 6 Y 2 7 1 8 2 8 x ______________ sx ______________ x ______________ n ______________ x ______________ 2 x ______________ y _____________...

Page 43: ... 4 3 1 1333 5 3 2 166 6 288 Random p 31 Answers will vary p 32 Answers will vary Angle Conversions p 17 1 4 50 2 11 399 3 8 4 43 2 p 18 1 12 5 2 9 5 355 3 5 2 4 54 5 0 36 276 Probability p 33 1 3628800 2 6 3 12 p 34 1 210 2 5040 3 455 4 2730 5 120 6 1 1 Trigonometric Functions p 19 1 014 3 2 13 p 20 1 602 19 2 611 34 3 272 48 4 104 22 5 974 18 1 Variable Statistics p 35 1 32 13 038 11 662 5 160 58...

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