Casio CLASSPAD II Quick Reference Manual

ClassPad II
Quick
Reference Guide
Press these keys for numbers, basic operations, and the most common variables
Tap any icon to select the application.
Tap m at any time to return to the menu screen.
Tap M at any time to return to the Main menu.
Tap to advance to the next page.
In any menu application, press k for the onscreen keyboard.
Press these keys for numbers, basic operations, and the most common variables
Press E to execute commands.
Press these keys for numbers, basic operations, and the most common variables
ClassPad II
Chapter 1 Main Menu ………….. ...............Page 3
Chapter 2 Numerical Solve Menu ……. ......Page 13
Chapter 3 Graph and Table Menu …… .......Page 15
Chapter 4 Conic Menu …….. .....................Page 25
Chapter 5 Statistics Menu …. .....................Page 32
Quick
Reference Guide
Author:
John Diehl Casio Teacher Advisory Council Editors: Nathan Austin, Amber Branch, Amy Chow Casio Education, Curriculum and Training Department
Main Menu
If an object, such as a ball, is dropped from a initial height, c, the height, h, in feet, as a
2
function of time, t, in seconds, can be modeled by h = -16t
If the object is tossed upwards with an initial velocity, v, then the model becomes h = -16t2 + vt + c. These models ignore air resistance.
1. If a ball is dropped from a height of 120 feet, compute the height after 2 seconds.
Tap M for the Main menu.
Press: z16*2^2+120E.
+ c.
For a more mathematical display, the raised exponent template can be used from the Math1 Keyboard.
Press:
z16*2kO2:+120 E.
This expression can also be evaluated using a variable for substitution. A command in the form expression | variable = value means evaluate the expression with the given value(s) substituted for the variable(s).
Press
z16k_[)O2:+12 0-U_[=2E.
Getting Started with the Classpad II
3
2. Compute the time when the height of the ball is 84 feet.
The value can be computed using the square root and fraction templates from Math1.
Tap
k5N84­120Cz16E.
The value can also be computed using a solve command from Math1. The format is (equation,variable) even if there is only one variable in the equation.
Main Menu
Tap
)`z16_)O2 :+120=84,_ [)E.
3. A ball is tossed upwards with an initial velocity of 56 feet/second, from an initial height of 120 feet. Compute the time and the height when the ball is at a maximum height.
Commands such as fMax are found under the
Interactive and the Action menus. The Interac­tive commands open a dialogue box which gives
prompts for the input. The fMax command uses x as the default variable, but another variable such as t can be used.
4
Getting Started with the Classpad II
Tap Interactive, Calculation, fMin/fMax, fMax
and complete the inputs as shown. (Part of the rst coefcient, -16, has scrolled off the screen.)
Then tap OK.
Main Menu
4. Rewrite the expression from Question 3 in factored form.
Tap Interactive, Transformation, factor, factor.
Getting Started with the Classpad II
5
Enter the expression in the box. Then tap OK.
Main Menu
5. This model expresses height, or position, as a function of time. Construct a model for velocity as a function of time.
The velocity would be the derivative of the position function.
Tap Interactive, Calculation, diff.
6
Getting Started with the Classpad II
Enter the expression in the box. (Again, part of the
rst coefcient, -16, has scrolled off the screen.)
Then tap OK.
Main Menu
Alternately, the template for a derivative from Math2 can be used; the result will look the same.
Getting Started with the Classpad II
7
6. Compute the instantaneous velocity at time 2 seconds.
The only difference is to tap the bullet for Derivative at value, and to enter the value in the last box.
Main Menu
For a more intuitive display, use the derivative template from Math2 and the “with” ( on Math3.
8
U) command
Getting Started with the Classpad II
7. Compute the total net distance that the ball travels.
The ball had an initial height of 120 and fell to height of 0, so the net distance should be -120.
For a calculus connection, integrate the velocity function.
Tap k9P.
Enter the integrand, the variable, and the limits. The variable t can be found at
9, then tap
E.
Main Menu
8. Compute the total distance that the ball travels.
The initial height and the maximum height are known, so the total distance can be easily computed.
For another calculus connection, another integral can be used. The traditional approach is to use two integrals, but it is quicker to use the absolute value template. The template is also in
9.
Getting Started with the Classpad II
9
Main Menu
The ClassPad has a symbolic algebra system, sometimes called a computer algebra system, or CAS. An important distinction is a calculator using symbolic algebra can manipulate unde­clared variables. The factoring example from Question 4 was an illustration. It is usually a good idea to tap Edit, then Clear All Variables to ensure that the variables do not have a value stored in memory. The next 2 questions illustrate additional symbolic algebra.
9. If a model for the height of a ball thrown upwards
2
as a function of time is given by h = -16t compute an expression for the time when the ball hits the ground.
Tap Interactive, Equation, solve.
+ vt + c,
Enter the equation in the box by pressing k and tap sign is to the left of 16 and has scrolled off.
Enter the variable in the second box and tap E, or press the
10
0 to view the variables. The negative
E key; then tap OK.
Getting Started with the Classpad II
Both solutions are shown; the rst solution would be
negative and is not in the domain.
10. If a model for the height of a ball, thrown upwards, as a function of time, is given by
2
h = -16t velocity as a function of time.
+ vt + c, compute an expression for
Main Menu
Press
k and tap 9].
Enter the expression and the variable and tap E, or press the
E key.
Getting Started with the Classpad II
11
Numerical Solve
Menu
To use the Numerical Solve menu, tap the icon, enter the equation in the box, then enter val­ues for the variables. Tap the bullet for the unknown variable and tap
1. If a ball is tossed upwards with an initial velocity of 56 ft/sec, from an initial height of 120 feet, compute the times when the ball is at height 150 feet.
Enter the equation. Note that a times symbol is needed between v and t to distinguish the product from a single variable named vt.
Enter the values of 150, 56, and 120, select the bullet for t and tap
1.
1.
12
Getting Started with the Classpad II
To compute the second value for t, enter an initial estimate, say 4, for t and tap
2. If a ball is tossed upwards from an initial height of 120 feet, and has height of 160 feet after 2 seconds,
1.
Numerical Solve
Menu
compute the initial velocity.
Enter the values of 160, 2, and 120, select the bullet for v and tap
1.
Getting Started with the Classpad II
13
1. If a ball is tossed upwards with an initial velocity of 56 ft/sec from an initial height of 120 feet, graph the height of the ball, as a function of time.
From the Menu, select the Graph & Table icon.
Enter the function as y1.
To set a window tap 6, enter the values and tap OK.
Graph & Table
Menu
14
$ to graph.
Tap
Getting Started with the Classpad II
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