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Calculator Robot in Math

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Calculator Robot in Math Dr. Cwiakala 2/20/06 A robot driven by a TI-83 demonstrates angles, distances, velocity, measurement & estimation, (while providing a gentle ... – PowerPoint PPT presentation

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Title: Calculator Robot in Math


1
Calculator Robot in Math
  • Dr. Cwiakala
  • 2/20/06

A robot driven by a TI-83 demonstrates angles,
distances, velocity, measurement estimation,
(while providing a gentle introduction to
programming).
2
Outline of Presentation
  • Objective
  • Background What Is a Robot?
  • Programming a TI-83
  • Robot Commands
  • Applications
  • Distance
  • Angles
  • Distance Angles Golf Game
  • References more

3
Objective
  • Demonstrate how math is used to make a robot
    move. The distance equation is used to determine
    velocity and desired time required to make the
    robot go a specified distance.
  • This concept is also used for angular
    displacements to make the robot turn a prescribed
    amount.

4
Background What Is a Robot?
  • An intelligent and obedient machine.
  • Any machine that does work on its own,
    automatically, after it is programmed by humans.
  • All robots are made up of 3 elements
  • Hardware Body
  • Control Brain
  • Software Behavior

5
Background Equipment
  • Body Chassis
  • Control TI-83 Plus
  • Behavior Program in TI-83

6
Programming the TI-83
  • Commands that need to be repeated can be stored
    in a program.
  • Results can be stored in variables (STO command).
  • PROMPT command can request a value and store it
    in a variable.

7
Programming - Cont.
  • Press the PRGM key
  • EXEC runs a program
  • EDIT edits a program
  • NEW creates a program
  • While Editing a program the PRGM key provides
  • CTL control statements
  • I/O Input/Output
  • EXEC Run

8
Robot Commands
  • COMMAND FORMAT
  • SEND(1LR,time)
  • L left motor 0-rev, 1-stop, 2 Forward
  • R right motor
  • Time in centiseconds
  • GET(R)
  • Executes SEND
  • Returns time in R
  • Only Two commands are used to activate the robot
  • SEND prepares for action
  • GET Activates the action and returns how long
    the action took

9
Example Robot Program
  • Left Right Motor Forward for 3 seconds
  • Left Stop, Right Forward for 1.75 seconds
  • Left Right Motor Forward for 3 seconds

10
Applications
  • We have seen that we can cause each motor
    (wheel) to go forward, backward or stop for a
    specified amount of time.
  • Q How do we get the robot to go where we want?
  • A By employing the Distance, velocity and time
    equation.

11
Distance, Velocity and Time
  • We Know that DVT
  • This can be rewritten for Velocity VD/T
  • Run Program
  • For T1000 (10 sec)
  • D is measured 10
  • V10/1000 or 0.01 in/centiseconds

Robot Moves Forward EXAMPLE EXPERIMENTAL DATA
12
Determine Time
  • With the velocity known, given a distance, we can
    calculate a required time.
  • TD/V
  • Example How much time is required to go 24
    inches?
  • T24/0.01 or 2400

13
Angular Distance, Velocity and Time
  • Same approach can be used to determine how fast
    the robot can turn.
  • q w T
  • q is angular displacement in degrees
  • w is angular velocity in degrees/centisec.
  • T is time in centiseconds.
  • Rewrite w q / T

14
Determine Angular Velocity
  • We Know that q w T
  • Rewrite w q / T
  • Run Program
  • For T1000 (10 sec)
  • q is counted 8.5 revolutions
  • w 5.5360/1000 or 1.98 deg/centiseconds

Robot Turns CCW EXAMPLE EXPERIMENTAL DATA
15
Time for a Specified Turn
  • How long will it take to make a 90 degree turn?
  • T q / w
  • T 90 / 1.98 or
  • T 45 centiseconds

Program Prompts for an ANGLE and calculates
needed TIME.
16
The Golf Program Direction Distance
  • The following program
  • Prompts for an angle.
  • If the angle is nonzero, it executes the turn.
  • If zero, it prompts for a distance.
  • If the distance is nonzero, it executes the
    translation and repeats the program.
  • If a zero distance is entered, the program ends.

17
The Golf Program Direction Distance - Cont.
This program uses CONDITIONAL STATEMENTS and a
LOOP.
18
Example Run
  • 90 degree turn
  • Move 10 inches
  • -90 degree turn
  • End
  • Create a course using objects as place markers.
  • Students learn to estimate angles and distances.
  • The student with the least maneuvers wins!
  • You can include handicaps.

19
Suggested Activities
  • Determine velocity each will be different.
  • Pick distances from a hat and see who can come
    closest to their selected distance (absolute or
    by ).
  • Same exercise with rotations.
  • Students can program a specified path.
  • The Golf Game activity.

20
Algebra II Standards Covered
  • I-B1- Gather record data.
  • I-B2- Represent relationships among quantities
    using concrete models.
  • II-C2- Use symbols to represent unknowns and
    variables.

21
Algebra II Standards - Cont.
  • I-F1- Recognize that real-world phenomena can be
    modeled by specific functions.

22
References More Info
  • Learn About Robots (http//www.learnaboutrobots.c
    om/) All kinds of information about robots!
  • NASA Education Project (http//robotics.nasa.gov/
    matrix.htm) Robotics activities from NASA.
  • About Robots (http//www.occdsb.on.ca/proj4632
    /learnmore.htm) Introduction to robots.

23
References - Cont.
  • Norland Research http//www.smallrobot.com/scimat
    h.html You will need
  • TI Graphing Calculator kit - 99.95
  • TI 12 inch link cable - 4.95
  • TI slide cover - 4.95
  • Activities are also present on this site!
  • Guru Online TI-83 programming tutorials
    http//bgo.netfirms.com/

24
THANK YOU
  • This presentation can be obtained
    at http//keenan.rcsd1.org and click under
    Teacher Resources
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