EL-W516B Calculator Teaching Activities For The Classroom Jeremy Ross
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Table of Contents Calculator Layout Special Functions Examples Using the Sharp EL-W516B Calculator TEACHING ACTIVITIES FOR THE CLASSROOM BASIC ARITHMETIC Calculator Activity Practice Activity FRACTIONS Calculator Activity Practice Activity POWERS AND ROOTS Calculator Activity Practice Activity PARENTHESES AND EDITING Calculator Activity Practice Activity ANGLE CONVERSIONS Calculator Activity Practice Activity TRIGONOMETRIC FUNCTIONS Calculator Activity Practice Activity INVERSE TRIGONOMETRIC FUNCTIONS Calcu
PROBABILITY Calculator Activity Practice Activity 1 VARIABLE STATISTICS Calculator Activity Practice Activity 2 VARIABLE STATISTICS & LINEAR REGRESSION Calculator Activity Practice Activity COMPLEX NUMBERS Calculator Activity Practice Activity MATRIX CALCULATIONS Calculator Activity Practice Activity LIST CALCULATIONS Calculator Activity Practice Activity LINEAR, QUADRATIC, AND CUBIC EQUATIONS Calculator Activity Practice Activity SUMMATION Calculator Activity Practice Activity DERIVATIVES Calculator Activi
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Special Functions of the Sharp EL-W516B Calculator Modes. This calculator has seven modes: NORMAL, STAT, DRILL, CPLX, MATRIX, LIST, and EQUATION mode. To access these modes press followed by CPLX, for NORMAL, for MATRIX, for STAT, for LIST, and for DRILL, for for EQUATION. Degrees. The EL-W516B can be set to degrees, radians, or grads. Press and enter radians, and for DRG. Then press for degrees, for for grads. Math.
Inverse Hyperbolic Functions. Press trigonometric function key , followed by , and the inverse . Enter the value. Then press . Inverse Trigonometric Functions. Press trigonometric function key Integral. Press , , followed by the inverse . Enter the value, then press . Enter the lower bound. Then press upper bound. Then press solution. and enter the and enter the integrand. Press for the Derivative. Press . Enter the function.
Base 10 Logarithms. Press . Enter the number. Then press Base e Logarithms. Press . Enter the number. Then press Base Logarithms. If in WriteView mode press press . . Enter the base. Then and enter the number. Then press . Enter the base. Then press . . If in Line Editor press . Enter the number. Then Press . Higher roots. Enter the index. Press radicand. Then press Cube roots. Press followed by . Enter the . . Enter the radicand. Then press Reciprocals. Enter the number.
Memory. The calculator has 9 memories. Memory calculations can be performed in NORMAL and STAT modes. Enter the value to be stored. Press . Press the location you wish to store the value A-F, M, X, or Y. Recall Memory. Press or Y. . Press the location you wish to access A-F, M, X, Last Answer Recall. Perform a calculation. Press the operation key. The last answer will be recalled. Enter the number. Then press . Definable Memories.
Permutations. Enter the larger number. Press the smaller number. Then press Signed Numbers. Enter followed by . Enter . . Enter the number. Absolute Value. 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.
Examples: Please refer to the following examples and the keystrokes required to enter each problem. From these simple examples more complicated expressions can be easily entered.
Using the Sharp EL-W516B Calculator GETTING STARTED The National Council of Teachers of Mathematics and many other organizations with a commitment to the mathematics education of our youth have all given their support to the ongoing and appropriate use of calculators. In this document, convincing arguments for the ongoing use of calculators to enhance the mathematical capabilities of students at all grade levels are presented as well as a description of the features expected to be available on calculators.
TEACHING ACTIVITIES FOR THE CLASSROOM The Sharp EL-W516B 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.
Calculator Activity BASIC ARITHMETIC OBJECTIVE: To perform basic operations by developing a sequence of numbers. Performing a specified operation repeatedly can generate a sequence of numbers. For example, if you start with the number 4 and add 2 repeatedly you will generate the sequence 4,6,8,10 1. Add 13 to 54 twice: STEP 1: Enter 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.
NAME ___________________________________________ DATE________________ BASIC ARITHMETIC Use your EL-W516B to develop a series of sequences. 1. Find the first seven numbers of the sequence starting with –3 where each additional term is found by adding 4. -3, ___, ___, ___, ___, ___, ___, … 2. Find the first four numbers of the sequence starting with 2 where each additional term is found by adding 1. 2, ___, ___, ___, … 3.
Calculator Activity FRACTIONS OBJECTIVE: To perform basic operations with fractions. 1. Simplify 1 3 7 8 STEP 1: Enter 1 by pressing 7 STEP 2: Add by pressing . . 3 STEP 3: Enter by pressing 8 . STEP 4: Find the sum by pressing 2. Simplify . 1 5 . Then convert to a decimal 2 13 STEP 1: Enter 1 by pressing 2 . STEP 2: Subtract by pressing . 5 STEP 3: Enter by pressing 13 . STEP 4: Find the difference by pressing . STEP 5: Convert to a decimal by pressing 3 4 . 2 3 3.
NAME ___________________________________________ DATE________________ FRACTIONS Perform the indicated operations with fractions using your EL-W516B. 1. Find the arithmetic mean of the following fractions 1 1 1 , , . 2 4 16 2. Find the arithmetic mean of the following fractions and convert to a decimal 1 2 3 4 5 , , , , . 8 9 10 11 12 3. Simplify 1 4. Simplify 1 6 1 9 . 20 7 5 1 3 5 7 . 2 4 6 8 5. Simplify 1 6. Simplify 1 1 1 1 1 .
Calculator Activity POWERS AND ROOTS OBJECTIVE: To perform basic operations with powers and roots. 1. Calculate 3 2 3 STEP 1: Enter 3 2 by pressing STEP 2: Cube it by pressing . . STEP 3: Calculate the answer by pressing . 2. Calculate (5 3 ) 6 . 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 by pressing STEP 2: Enter 5 1 by pressing STEP 3: Calculate the answer by pressing 4.
NAME ___________________________________________ DATE________________ POWERS AND ROOTS Use your EL-W516B to perform the indicated operations with the following equations that contain powers and roots. 1. Simplify 12 2 2 3 2 4 2 5 2 ____________________________ 1 2 3 4 5 2. Simplify ____________________________ 2 2 3. Is ( 3 7 ) 2 3 7 ? Explain your answer. ____________________________ ____________________________ ____________________________ 3 4.
Calculator Activity PARENTHESES AND EDITING OBJECTIVE: To perform basic operations with parentheses by finding the volume of a sphere, by recalling the expressions, and editing them to perform a new calculation. The volume of a sphere is defined to be Volume 4 3 r , where r is the 3 radius of the sphere. 1. Given the radius is 2 find the volume of the sphere. 4 3 STEP 1: Enter by pressing . STEP 2: Insert the pi symbol by pressing .
NAME ___________________________________________ DATE________________ PARENTHESES AND EDITING Use your EL-W516B and the formula to find the volume of a sphere. Recall and edit previous equation to prevent typing the whole expression over and over again. Volume 4 3 r 3 1. Find the volume of 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.
Calculator Activity ANGLE CONVERSIONS OBJECTIVE: To make angle conversions by finding the missing angle of a polygon. Angles can be expressed in degrees, radians and grads. Degrees can be expressed in either decimal degrees or degrees-minutes-seconds. Remember 180 = radians = 200 grads. The formula for the sum of the angles of an n-side polygon in degrees is 180(n-2). Before inputting an angle for conversion, press appropriate angular units. and then choose the 1. Convert 45 to radians and grads.
NAME ___________________________________________ DATE________________ ANGLE CONVERSIONS The sum of the angles in degrees of an n-side polygon is 180(n-2). Remember 180 radians 200 grads. Before inputting an angle for conversion press and then choose the corresponding angular units. Use your EL-W516B to find the missing angle in the specified units. 1. A triangle has two angles, which are 45 and 60 . Find the missing angle and express your answer in radians. _____________________ 2.
Calculator Activity TRIGONOMETRIC FUNCTIONS OBJECTIVE: To find the distance between points by using trigonometric functions. The law of sines and the law of cosines can help determine the sides and a b c . sin sin sin The law of cosines is as follows c 2 a 2 b 2 2ab cos . angles of triangles. The law of sines is as follows 1. Using the law of sines find the length of side a given 37, 53, b 4 . STEP 1: Set the angular units to degrees by pressing .
NAME ___________________________________________ DATE________________ TRIGONOMETRIC FUNCTIONS Use your EL-W516B together with the law of sines and the law of cosines to find the distance of the missing side The law of sines is a b c . sin sin sin The law of cosines is c 2 a 2 b 2 2ab cos . 1. Given 30, 63, a 11 determine the length of side c. ___________________ 2. Given 16 grads, 69 grads, b 123 find the length of side a. ___________________ 3.
Calculator Activity INVERSE TRIGONOMETRIC FUNCTIONS OBJECTIVE: To perform operations with inverse trigonometric functions. 1. Find in degrees when tan 1 STEP 1: Set the angular units to degrees by pressing . STEP 2: Enter tan 1 (1) by pressing . STEP 3: Calculate the answer by pressing . 2. Find in degrees when cos 0 STEP 1: Set the angular units to degrees by pressing . STEP 2: Enter cos 1 (1) by pressing . STEP 3: Calculate the answer by pressing 3. Find in radians when sin .
NAME ___________________________________________ DATE________________ INVERSE TRIGONMETRIC FUNCTIONS Use your EL-W516B and the law of sines and the law of cosines to find the missing angle. The law of sines is a b c . sin sin sin The law of cosines is c 2 a 2 b 2 2ab cos . 1. Given a 2, b 7, 23 find in grads. ___________________ 2. Given a 34, c 21, 94 grads, find in radians. ___________________ 3. Given a 3, b 4, c 5 find in degrees.
Calculator Activity COORDINATE CONVERSIONS OBJECTIVE: To convert from polar coordinates to rectangular coordinates and vice versa. A point on a circle can be described with rectangular coordinates ( x, y ) or polar coordinates ( r , ) , where r is the radius of the circle and is the angle counterclockwise from the positive x-axis. ( r , ) 1. While in degrees convert the rectangular coordinates (1,1) to polar coordinates. STEP 1: Set the angular units to degrees by pressing .
NAME ___________________________________________ DATE________________ COORDINATE CONVERSIONS A point on a circle can be described with rectangular coordinates ( x, y ) or polar coordinates ( r , ) , where r is the radius of the circle and is the angle counterclockwise for the positive x-axis. Before converting, press and then choose degrees, radians, or grads. Use your EL-W516B to find the corresponding point on the circle. 1.
Calculator Activity LOGARITHMS OBJECTIVE: To get a basic understanding of logarithms base 10, base e , and other bases by solving equations. 1. Find log 1000 . STEP 1: Enter log by pressing . STEP 2: Enter 1000 by pressing . STEP 3: Calculate the answer by pressing . 2. Find log 10 . STEP 1: Enter log by pressing . STEP 2: Enter 10 by pressing . STEP 3: Calculate the answer by pressing . 3. Find ln e . STEP 1: Enter ln by pressing STEP 2: Enter e by pressing .
NAME ___________________________________________ DATE________________ LOGARITHMS Use your EL-W516B to solve to following equations for the unknown. 1. Solve for x . x 5 2 log 123 _____________________ 2. Solve for y . y 21 5(1 ln 3) _____________________ 3. Solve for z . z 54 log 6 36 2 _____________________ 4. Solve for x . x log100 ln e 1 _____________________ 5. Solve for y . y log 21 100 ln 2 _____________________ 6. Solve for z .
Calculator Activity INVERSE LOGARITHMS OBJECTIVE: To perform antilogarithmic operations. 1. Calculate 10 23 STEP 1: Enter 10^ by pressing . STEP 2: Enter 2 3 by pressing . STEP 3: Calculate the answer by pressing . 2. Find 10 63 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.
NAME ___________________________________________ DATE________________ INVERSE LOGARITHMS Use your EL-W516B to solve the following equations for the given unknown. 1. Solve for x . x 2 10 5 6*2 _____________________ 2. Solve for y . y 5 e2 _____________________ 2 3. Solve for z . z 1 3 10 3 _____________________ 4. Solve for x . x 10 25 5 e4 _____________________ 5. Solve for y . y e 3 2 2 101 _____________________ 6. Solve for z .
Calculator Activity BASE CONVERSIONS OBJECTIVE: To convert to and from binary, decimal, hexadecimal, octadecimal, and pentadecimal base systems. Before converting press , followed by either , , , . 1. Convert the binary number 10011001 to decimal. STEP 1: Set the calculator to binary 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 .
NAME ___________________________________________ DATE________________ BASE CONVERSIONS Use your EL-W516B to convert to and from binary, decimal, hexadecimal, octadecimal, and pentadecimal base systems. Before converting make sure you are in the right base system by pressing followed by either , , , , . 1. Convert the octadecimal number 161033 to pentadecimal. ____________________________ 2. Convert the hexadecimal number 123 to binary. ____________________________ 3.
Calculator Activity CONSTANTS AND CONVERSIONS OBJECTIVE: To use constants to aid in solving E mc 2 and to perform conversions. Use Einstein’s equation to solve for energy: E mc 2 . 1. What is the energy of an object given the mass of that object is 100 kilograms? STEP 1: Enter 100 by pressing . STEP 2: To multiply by the constant c press STEP 3: Square c by pressing . . STEP 4: Solve for E by pressing . 2.
NAME ___________________________________________ DATE________________ CONSTANTS AND CONVERSIONS Use your EL-W516B to use constants and to convert when necessary. Use Einstein’s equation to help solve some of the questions: E mc 2 . 1. How much energy does a particle whose mass is 10 kilograms have? ____________________ 2. How much energy does a particle whose mass is 5 kilograms have? ____________________ 3. How many feet are in 3 meters? ____________________ 4.
Calculator Activity RANDOM NUMBERS, DIE, COINS, AND INTEGERS OBEJCTIVE: To generate random numbers, dice throws, coin tosses, and integers. 1. Generate 4 random numbers. STEP 1: Press . STEP 2: To generate random numbers press . STEP 3: Generate the first random number by pressing . STEP 4: Generate the second random number by pressing . STEP 5: Generate the third random number by pressing . STEP 6: Generate the fourth random number by pressing . 2. Generate 3 random dice throws.
NAME ___________________________________________ DATE________________ RANDOM NUMBERS, DIE, COINS, AND INTEGERS Use your EL-W516B to help generated a sequence of random numbers, dice, coins, and integers. 1. Generate a sequence of 4 random integers. ___, ___, ___, ___ 2. Generate a sequence of 5 random dice throws. ___, ___, ___, ___, ___ 3. Generate a sequence of 10 random coin flips. ___, ___, ___, ___, ___, ___, ___, ___, ___, ___ 4. Generate a sequence of 3 random integers. ___, ___, ___ 5.
Calculator Activity PROBABILITY OBJECTIVE: To get a basic understanding factorials, combinations, and permutations. A combination is used when order does not matter. A permutation is used when order does matter. 1. Find 10! . STEP 1: Enter 10! by pressing STEP 2: Calculate by pressing . . 2. How 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 .
NAME ___________________________________________ DATE________________ PROBABILITY Use your EL-W516B to find the following number of combinations and permutations and to evaluate factorials. 1. How many groups or 4 can be formed from a class of 10 where order does not matter? ____________________________ 2. How many groups of 4 can be formed from a class of 10 where order does matter? ____________________________ 3.
Calculator Activity 1 VARIABLE STATISTICS OBJECTIVE: To perform 1 variable statistics. 1. Analyze the set 15,25,35,35, 50using 1 variable statistics. STEP 1: Set the calculator to single variable statistics by pressing . STEP 2: Enter 15 by 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 .
NAME ___________________________________________ DATE________________ 1 VARIABLE STATISTICS Use your EL-W516B to analyze the following sets using 1 variable statistics. 1. Analyze the set {1,1,2,2,2,3,3,3,3} x sx x n x x2 ______________ ______________ ______________ ______________ ______________ ______________ 2. Analyze the set {10,15,20,25,25} x sx x n x x2 ______________ ______________ ______________ ______________ ______________ ______________ 3.
Calculator Activity 2 VARIABLE STATISTICS & LINEAR REGRESSION OBJECTIVE: To perform 2 variable statistics and run a linear regression Analyze the data set using 2 variable statistics and perform a linear regression. X Y 1 2 1 2 2 4 3 7 10 10 STEP 1: Set the calculator to 2 variable statistics by pressing . STEP 2: Enter 1,2 two times by pressing . STEP 3: Enter 2,4 by pressing . STEP 4: Enter 3,7 by pressing . STEP 5: Enter 10,10 by pressing .
NAME ___________________________________________ DATE________________ 2 VARIABLE STATISTICS & LINEAR REGRESSION Use your EL-W516B to analyze the following sets using 2 variable statistics and to perform a linear regression. 1. Analyze the set and run a linear regression.
Calculator Activity COMPLEX NUMBERS OBJECTIVE: To calculate the modulus, the complex conjugate, and to simplify complex expressions. The absolute value or modulus of a complex numbers is defined as x iy x 2 y 2 . Before starting put your calculator in CPLX mode by pressing . 1. What is the modulus of 2 i ? STEP 1: To start the absolute value press . STEP 2: To enter 2 press . STEP 3: To enter i press and then press STEP 4: To determine the modulus press . . 2.
NAME ___________________________________________ DATE________________ COMPLEX NUMBERS Use your EL-W516B to find the modulus, the complex conjugate, and to simplify complex expressions. 1. What is the modulus of i ? ____________________ 2. What is the modulus of 3 i 2 ? ____________________ 3. What is the complex conjugate of i ? ____________________ 4. Simplify 1 i 1 i ____________________ 5. Simplify 2 2i (i ) ____________________ 6.
Calculator Activity MATRIX CALCULATIONS OBJECTIVE: To perform calculations, take inverses, augment, and calculate the determinant of matrices. To set your calculator to Matrix mode press . For the following examples there will be two matrices: A and B A 1 2 3 4 and B 5 6 7 8 . To enter matrix A press . Then press . Then press . To enter matrix B press . Then press . Then press . Now matrix A and B are stored. 1. Evaluate AxB STEP 1: To enter A x Press . STEP 2: To enter B press .
NAME ___________________________________________ DATE________________ MATRIX CALCULATIONS Use your EL-W516B to perform calculations with matrices. For the following problems use: A 1 1 C 3 5 2 2 4 6 8 , B 1 3 5 7 , 1 0 0 8 , D 0 1 0. 13 21 34 0 0 1 1. Calculate D 1 ____________________ 2. Evaluate CD ____________________ 3. Evaluate DC ____________________ 4. Augment matrix A with matrix B ____________________ 5.
Calculator Activity LIST CALCULATIONS OBJECTIVE: To perform calculations and to determine statistical information with lists. To set your calculator to Matrix mode press . For the following examples L1={1,2,3} and L2={5,10,15}. To enter the data into L1 press . Then press . After this press . To enter the data into L2 press . Then press . After this press . Now L1 and L2 are stored. 1. Evaluate L1+L2 STEP 1: Press to enter L1. STEP 2: To add L2 press .
NAME ___________________________________________ DATE________________ LIST CALCULATIONS Use your EL-W516B to perform the necessary calculations. 1. Put {1,3,5} in L1 and {2,4,6} in L2. Multiply L1 and L2 and put this new list into L3. Then determine the min, max, mean, median, sum, product, standard deviation, and variance of L3.
Calculator Activity LINEAR, QUADRATIC, AND CUBIC EQUATIONS OBJECTIVE: To solve linear, quadratic, and cubic equations. For EQUATION mode press 1. Solve the two equations for x and y: . 1x 2 y 5 3x 4 y 7 STEP 1: Choose 2-VLE by pressing . STEP 2: Enter the coefficients for the first equation by pressing . STEP 3: Enter the coefficients for the second equation by pressing . NOTE: 3 simultaneous equations can be done by choosing 3-VLE and entered in a simlar fashion as 2-VLE. 2.
NAME ___________________________________________ DATE________________ LINEAR, QUADRATIC, AND CUBIC EQUATIONS Use your EL-W516B to solve the following linear, quadratic, and cubic equations. Set your calculator to EQUATION mode by pressing 1. Solve the two linear equations for x and y: x 2 y 10 3x 5 y 0 ____________________ 2. Solve the three linear equations for x, y, and z: x y 5 x yz 6 yz 0 ____________________ 3.
Calculator Activity SUMMATION OBJECTIVE: To calculate the sum of a series. 5 1. Evaluate x! 0 STEP 1: Bring up the summation symbol by pressing STEP 2: Enter the lower bound 0 by pressing . . STEP 3: Enter the upper bound 5 by pressing . STEP 4: Enter x! by pressing . STEP 5: To determine the sum of the series press 20 2. Evaluate 1 . x 1 STEP 1: Bring up the summation symbol by pressing STEP 2: Enter the lower bound 1 by pressing . .
NAME ___________________________________________ DATE________________ SUMMATION Use your EL-W516B to calculate the sum of the series. 5 1. Evaluate 2 x 1 ____________________ 10 2 2. Evaluate 3 1 x3 ____________________ 4 3. Evaluate e 2x 0 ____________________ 9 4. Evaluate x ln x x 1 ____________________ 20 5. Evaluate x x 10 ____________________ 100 6.
Calculator Activity DERIVATIVES OBJECTIVE: To calculate the derivative at a given point. 1. Evaluate d 3 x where x 5 dx STEP 1: Press . STEP 2: Enter x 3 by pressing . STEP 3: Enter 5 by pressing STEP 4: To solve press 2. Evaluate . . d sin x where x radians dx STEP 1: Set the calculator to radians by pressing STEP 2: Press . . STEP 3: Enter sin x by pressing . STEP 4: Enter by pressing STEP 5: To solve press 3. Evaluate . . d ln x when x 2 dx STEP 1: Press .
NAME ___________________________________________ DATE________________ DERIVATIVES Use your EL-W516B to calculate the derivative. 1. Evaluate d x when x 2 dx ___________________ 2. Evaluate d x x when x 5 dx ___________________ 3. Evaluate d 3 x 2 x when x 3.1 dx ___________________ 4. Evaluate d x e when x 4 dx ___________________ 5. Evaluate d x e ln x when x 5 dx ___________________ 6.
Calculator Activity INTEGRALS OBJECTIVE: To find the area under a curve by evaluating integrals. 1. Find the area under the curve of x given the lower bound is 1 and the upper bound is 2. STEP 1: Press . STEP 2: Enter the lower bound of 1 by pressing . STEP 3: Enter the upper bound of 2 by pressing STEP 4: Enter x by pressing . . STEP 5: Evaluate the integral by pressing . 2. Find the area under the curve of x 2 given the lower bound is 1 and the upper bound is 2. STEP 1: Press .
NAME ___________________________________________ DATE________________ INTEGRALS Use your EL-W516B to find the area under the given curve using integration. 1. Find the area under the curve of x given the lower bound is -1 and the upper bound is 1 ____________________ 2. Find the area under of x 2 given the lower bound is -1 and the upper bound is 1 ____________________ 3. Find the area under the curve of x 3 given the lower bound is –1 and the upper bound is 1 ____________________ 4.
ANSWERS Basic Arithmetic p. 10: 1. 67, 80 2. 23 3. –10, -50, -250 p. 11: 1. 3,1,5,9,13,17,21 2. 2,3,4,5 Inverse Trigonometric Functions 3. 6,9,12,15,18 4. 144,72,36 5. 729,243, p. 23: 1. 7.12 2. 0.662 3. 90 4. 2.692 5. 22.620 p. 22: 1. 45 2. 90 3. 81,27,9,3 6. 1,45,2025 7. 100,90,80,70,60 8. 1,21,41,61 Fractions Coordinate Conversions p. 24: 1. 1.414, 45 2. -2.694, -0.862 p. 25: 1. 2.828, 45 2. 4.583, 0.714 3. 3.973, 0.467 4. 1.000, 0.026 5. 1.414, 150 29 35 p. 12: 1. 2. .115 3.
ANSWERS Random p. 34: Answers will vary p. 35: Answers will vary List Calculations p. 46: 1. 6,12,18 2. Probability p. 36: 1. 3628800 2. 6 3. 12 p. 37: 1. 210 2. 5040 3. 455 4. 2730 5. 120 6. 1, 1 Linear, Quadratic, and Cubic Equations p. 48: 1. x 3.4, y 0.8 2. x 2,3 1 Variable Statistics p. 38: 1. 32,13.038, 11.662, 5, 160, 5800 p. 39: 1. 2.222, 0.833, 0.786, 9, 20, 50 2. 19, 6.519, 5.831, 5, 95, 1975 3. 3.333, 2.733, 2.494, 6, 20, 104 4. 10.5, 11.862, 10.828, 6, 63, 1365 Summation p. 50: 1.
