The Sharp EL-W506Everything you need to know that your calculator does

Modes• 0: Normal – Used for calculations such as differentiation, summing

and integration.

• 1: Stat – Easy to use statistics mode

• 2: Drill – Practice your mental maths!

• 3: Complex numbers – Calculate conjugates, change between polar and rectangular coordinates, and so on.

• 4: Matrix – Matrix calculations including derivative, transpose and inverse of up to 4 x 4 matrices.

• 5: List – Input data and use mode to sort data in ascending or descending order, find the mean and standard deviation.

• 6: Equation – Solve quadratic and cubic equations, as well as simultaneous equations.

• Press and the number of the mode you want to go to.

0: Normal Mode

• Displays equations in writeview (i.e. just like the textbook).

• Solves equations

• Integrates and differentiates

• Does 44 different conversions and has 52 constants

Shortcut for Class marks

• If you want to convert between the total of your test or exam to another total.

• E.g. If you have an test out of 40 and want to work out percentages.

• You are converting from 40 to 100

Marks

Class marks cntd.• Press

• What you are converting too goes on top (e.g. 100)

• Press

• What you are converting FROM goes at the bottom (e.g. 40).

• Press

• Type in the first student’s mark, e.g. 33 and press

Class marks cntd.• To change the mark to a

decimal press the key twice.

• Now, without pressing anything else, just type in your next student’s mark, e.g. 25 and

• Continue to do this, mark

mark until you have

finished your class list ☺

Naming your calculator

• To have your calculator display your name when you switch it off:

• Press MATH

• Choose 5: NAME

• Use your up and down arrow keys to change the letter, and press when you are finished.

• When you switch off your calculator ( ) the message will be displayed.

Integration• To find the definite integral

between two points:

• Press

• Type in where the integral starts, press your right or up arrow key.

• Type in where the integral ends. Press the right or up arrow

• Type in the expression you want to integrate. Press twice to get an x.

Integration example

• To find the integral of 𝑥2+3𝑥 between 𝑥 = 1 and 𝑥= 3

• Press

• 1 3

•

• 3

•

Differentiation

• Press

• Type in the expression you want to differentiate.

• Remember to press twice to get an X.

Differentiation Example

• To find the derivative of 𝑥2+3𝑥 at 𝑥 = 1

• Press

•

• 3

• 1

σ Function • Press

• Type in where you want to start the sum from.

• Press the right arrow key.

• Type in where the sum ends.

• Press the right arrow key.

• Type in the expression you are summing over. Remember to press twice to get an X.

Summing Example• Given: σ1

6 𝑥2 + 2𝑥 − 5

• Press

• Press 1

• Press 6

•

• 2 5

•

Random Function

• Press 7

• 4 options:• 0: RAND – Random decimals

between 0 and 1 to three decimal places.

• 1: R-DICE – Random numbers between 1 and 6

• 2: R-COIN – Instead of heads and tails we have 0’s and 1’s.

• 3: R-INT – Random numbers between 0 and 99.

• Press to generate the random numbers

Degrees / Radians

• Press MODE 0

• e.g. 180°

• Press 180

• Press

Memory Functions• You have several different

memory keys that can be used.

• Letter memory keys allow you to save a value to each letter. These are great for doing substitution questions.

• ANS memory, saves the last answer to be used in your next calculation.

• The D-keys save a calculator function for quick access.

Substitution• Use to save a value to a

memory key, use to see what value is saved in the memory key.

• E.g. 𝐴2 + 3𝐵 − 𝐶

• A = 4, B = -2 and C = 5

• Store these values: • 4 CNST

• 2

• 5

Substitution

• Use to call the memory key in an expression

• Now type in the expression:• E.g. 𝐴2 + 3𝐵 − 𝐶

• CNST

• 3

•

•

Last Answer

• As a simple example press 3 + 4 =

• Now if we want to use the answer (in this case 7) in our next calculation we press

• E.g. 12 -

D-Keys

• Press

•

• To recall the D-key function press key and continue as normal with the rest of the expression.

Fraction Calculations

• E.g. 1

2+ 3

3

4+ 1.25

• Press 1 2

• 3 3 4

• 1 25

•

• Press to change between mixed number, improper fraction and decimal notation.

Binary Numbers• Changing from Decimal to

Binary:• E.g. 258 to binary is:

• Type in 258

• Press

• Changing Binary back to decimal:

• Type in 10110

• Press

Time

• Speed, distance, time.

• To find time, for example –travel 400km at a speed of 115km/h, how long does it take?

• Press

• 400

• 115

•

Time

• Leave at 11:42 and arrive at 14:13. How long did it take?

• Press 1 4 1 3

• 1 1 42

•

Pythagoras

• This only works if we are looking for the hypotenuse of a right-angled triangle.

• Type in the shorter sides (or x and y values) of the triangle, e.g. our triangle has sides 6 and 8, so we type in 6 then 8.

• Now press

• This gives us the hypotenuse (r) and the angle (𝜃) the hypotenuse makes with the base.

Conversions

• Hours to seconds: • E.g. 96 hours

• Type in 96

• Press MATH

• 4

• You can also convert hours to minutes by choosing 5

ConversionsE.g Ounces to grams

• 23 ounces:

• Press 23

• CNST

• Press until you find oz → g

• Press 1 3

• There are 44 conversions.

Alternative Substitution Method

• Type in any expression, for example: 𝐴2 + 3𝐵 − 𝐶

• Press CNST

• 3

•

• Then press MATH and choose 1 for ALGB.

• Your screen will then display the different variables, type in the value for each variable and press . after each.

• The calculator will then calculate the expression with the substituted values. This makes it quick and easy to do multiple substitutions using the same expression.

• The example in the calculator screens used A = 9, B = 6 and C = - 5.

Solver Function• Solve any equation /

expression equal to zero.

• E.g. 0 = sin 𝑥 − 30 +1

2

• Type in the expression: •

• 3 0

• 1 2

• Now press MATH and 2 for SOLVER.

• You should see Start on your screen (you can choose any value – I normally start with 0) and then press

• Next you will see dx? (The accuracy of the answer – the more decimal places the more accurate). Leave as is for now, so press

1: Statistics• 0: SD – Single data or

univariate data calculations

• 1: LINE – Linear regression calculations, including finding the regression line variables.

• 2: QUAD – Can be used as a short cut to find the second-common difference pattern equation.

• 3 – 7 – Modes that are not used in high school.

0: SD – Single data

• To input data: type in the data value and then press the button. E.g. press 56

• To type in a data value with a frequency, type in the data value, press , type in the frequency value and then press . E.g. 36 3

Example:• Thando gets the following marks

for her maths tests: 78, 45, 63, 88, 63, 49, 80

• First make sure there is no previous data by pressing

• Type in the marks:• 78

• 45

• 63 2

• 88

• 49

• 80

• To find the mean:

• To find the standard deviation:

• To find the number of observations:

• To find the sum of all the observations:

1: LINE 𝑦 = 𝑎 + 𝑏𝑥• To input your data pairs, type

in the first value (or x-coordinate), press . Type in your second value (or y-coordinate) and then press

• If you want to include a frequency as well, press after the y-value, type in the frequency and then press

Example:

x 1 2 3 4 5

y 7 11 15 19 23

• To input each pair press:

• 1 7

• 2 11

• 3 15

• 4 19

• 5 23

• Find the mean, standard deviation, sums as you did for the single data.

• To find the regression line variables:

• a →

• b →

• To find regression coefficient• r →

2: Quad 𝑦 = 𝑎 + 𝑏𝑥 + 𝑐𝑥2

• Example: Given the following quadratic pattern: 1, 3, 7, 13

• Your position is your x-value and your term-value is your-value. Input the x-value first, press , type in the term value and press

• E.g. 1 1 , 2 3 and so on…

Don’t forget to

clear your old

data by pressing

• To find the values of the coefficients press

• (y-intercept)

• (x-coefficient)

• (x2-coefficient)

• If given x = 12, find y by pressing 12

• If given y = 13, find x by pressing

• The different distributions are shown alongside.

• P(t) finds the area under a normal curve from negative infinity to t.

• Q(t) finds the area under a normal curve between 0 and t

• R(t) finds the area under a normal curve between t and positive infinity.

Probability Distribution Functions

• To calculate a t-value, type in the observation, press MATH and choose 1 for →t.

• Store this value in a memory key for easy access.

• 𝑡 =𝑥 − ҧ𝑥

𝜎𝑥

• To find the P-value press MATH and choose 2, type in the z-value and

• To calculate the Q-value, press MATH and choose 3, type in the t-value (or use your memory key) and press

• To calculate the R-value, press MATH and choose 4 type in the t-value (or use your memory key) and press

2: Drill• Practice your mental maths

using drill mode.

• 0: MATH tests addition, subtraction, multiplication and division through 25, 50 or 100 questions.

• 1: TABLE tests particular multiplication tables between 1 and 12, in order, or randomly.

0: MATH

• Use your and arrow keys to choose between 25, 50 or 100 questions.

• Use your and arrow keys to choose the type of question you want to do.

1: TABLE

• Use your and arrow keys to choose the particular times table between 1 and 12 you want to practice.

• Use your and arrow keys to choose between Serial (in order) or Random.

For both Math and Table

• Once you have made your selection, press

• If you get the question right, you will get a tick and a new question.

• If you get the question wrong, it will be marked incorrect, and the same question will be repeated.

• At the end of the drill, you will be able to see your mark and percentage.

3: Complex Numbers• Calculations can be done using

two different representations:•

• The rectangular coordinate system.

•

• The polar coordinate system.

• You can convert between the two representations by using the . and or buttons.

• To input the i into an expression press

• To input the hypotenuse and angle, type in r, press and then type in the angle.

• To find the conjugate pair of a number press MATH and choose 1 and type in the complex number in either format.

4: Matrices• Can input up to 4 x 4

matrices.

• To input a matrix press MATH and choose 2: EDIT.

• Choose size of matrix by typing in the number of rows and columns and then press . when you are done.

• Type in each value and press . after each one.

• Once your matrix is complete press .

• To store this matrix, press MATH and then 4: STORE, and choose a matrix name you want to store it in (e.g. 0: matA).

• Shortcut tip: Save the name of the matrix into your D-key for easy and quick calculations.

• Press MATH choose 1 and the matrix you want to store.

Example

• Save matrix A into D1, press:

MATH , 1 and 0.

• Save matrix B into D2, press:

D2 MATH , 1 and 1

• Input matrix A (2 x 2)• Press MATH and 2

•

• 3 5

• 4 1

• Store A, press • MATH and 4• Choose 0.

• Input matrix B (2 x 3)

• MATH and 2

• Press 2 and then 3

• Press 7 4 5

• 8 12 1

• Store Matrix B by pressing MATH and 4. Choose 1.

Determinant and Inverse• To find the determinant of

matrix A• MATH and choose 6

• Then press 0

• Press D1 if you saved the shortcut (or to recall a matrix press MATH , 1 and then the number of the matrix (e.g. 0).

• To find the inverse:• Call the matrix (e.g. D1)

• Press 2

Other matrix functions• You can add, subtract and

multiply two matrices as you would any normal numbers, except you would call each matrix through the D-keys or through the MATH menu.

• To find the transpose of a matrix, press MATH, 6 and choose 1, then input your matrix name.

5: List

• The list function stores up to 16 data values per list, and up to 4 different lists.

• To input data, press MATH, 2 for EDIT, and then choose your list (1 – 16). Press

• Input each data item and press . after each one.

• To store the list press , MATH, and choose 4 for STORE, choose a list to store it in ( 0 – 3).

Some handy list functions

• To sort the list in ascending or descending order:

• Press MATH and 5• Choose 0 to sort in ascending

order• Or 1 to sort in descending

order.

• Press MATH and 6• Choose between the minimum

(0), maximum (1), mean (2), median (3), sum (4), standard deviation (6), and variance (7)

Vectors

• You can also calculate the inner and outer product of two lists (or vectors).

• Save two vectors:• Press MATH and 2

• 3 and

• 4 7 9

• Press MATH 4 and choose L1 (press 0).

• Repeat the previous slide with the vector (2, 8, 3), but stored in L2.

• To find the outer product: • Press MATH and choose 6• Press 8• Call the first by pressing MATH, 1

and then 0• Press • Call the second list by pressing

MATH, 1 and then 1• Press

• To calculate the inner product press MATH, 6 and then choose 9, continue as you did with the outer product.

6: Equation• 4 different options:

• 0: 2-VLE → Simultaneous equations with 2 variables.

• 𝑎1𝑥 + 𝑏1𝑦 = 𝑐1• 𝑎2𝑥 + 𝑏2𝑦 = 𝑐2

• 1: 3-VLE → Simultaneous equations with 3 variables.

• 𝑎1𝑥 + 𝑏1𝑦 + 𝑐1𝑧 = 𝑑1• 𝑎2𝑥 + 𝑏2𝑦 + 𝑐2𝑧 = 𝑑2• 𝑎3𝑥 + 𝑏3𝑦 + 𝑐3𝑧 = 𝑑3

• To solve either of these types of questions, type in the values of each coefficient and press after each one.

• 2: Quad → A quadratic equation:

• 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0

• 3: Cubic → A cubic equation:• 𝑎𝑥3 + 𝑏𝑥2 + 𝑐𝑥 + 𝑑 = 0

• Again to solve type in each coefficient and press after each one.

Cubic Equation

• Press MODE 6

• 3 (For Cubic)

• 𝑦 = 3𝑥3 − 4𝑥2 + 7𝑥 − 8

• a = 3

• b = 4

• c = 7

• d = 8

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