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National Aeronautics and Space Administration. Smart Skies TM. Preparing to Lead NASA Air Traffic Control Simulator Activities for Middle School Students. Can you line up the planes?. All Materials Free!. A Presentation for Museum Docents/Trainers. 3/20/08. Intro to Air Traffic Control.

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Presentation Transcript
slide1

National Aeronautics and Space Administration

Smart SkiesTM

Preparing to LeadNASA Air Traffic Control Simulator Activities for Middle School Students

Can you line up the planes?

All Materials Free!

A Presentation for Museum Docents/Trainers

3/20/08

slide2

Intro to Air Traffic Control

During the busiest travel times, about how many commercial planes are flying in the US?

About 5,000 planes!

lineup with math tm
LineUp with MathTM

Math-Based Decisionsin Air Traffic Control (ATC)

Distance = Rate • Time

Proportional Reasoning

Web-based ATC simulator

  • Act as an Air Traffic Controller.
  • Use a simulator and math
    • to change plane routes and speeds
    • to keep planes safely separated and on time.

LineUp With Math™

lineup with math tm5
LineUp with MathTM
  • Full set of free classroom materials
    • Simulator, workbooks, videos, teacher guides
  • Standards-based
    • Forces and motion
    • Proportional reasoning
    • Problem solving
  • Classroom-tested
    • Over 5,000 students nation-wide

LineUp With Math™

intro to atc and the simulator
Intro to ATC and the Simulator

“Welcome to Sector 33” Video

LineUp With Math™

typical problem

00:00

Target3:48

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

Typical Problem
  • Line up 2 or more planes at MOD, 3 Nmi apart.

To do this:

Challenge:

  • Change route
  • Match the target time.
  • Change speed
  • Requires math.

LineUp With Math™

atc simulator problem 3 8

00:00

Target3:48

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

ATC Simulator Problem 3-8

To SFO

Three planes all flying to SFO through Modesto (MOD).

LineUp With Math™

the goal at mod

3:48

Target3:48

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

The Goal at MOD

The planes must be spaced 3 Nmi apart at MOD.

The last plane must arrive in 3 mins and 48 secs.

LineUp With Math™

a closer look at the goal

3:48

Target3:48

3 Nmi

3 Nmi

MOD

0

10

5

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

A Closer Look at the Goal

The planes must be spaced 3 Nmi apart at MOD.

The lastplane must arrive in 3 mins and 48 secs.

LineUp With Math™

select and run problem 3 8
Select and Run Problem 3-8

1. Select Problem

2. Run Problem

LineUp With Math™

analyze problem 3 8

00:00

Target3:48

10 Nmi

12 Nmi

AAL12

600 kts

13 Nmi

DAL88

600 kts

UAL74

600 kts

UAL74

DAL88

AAL12

Analyze Problem 3-8

Speed:

600 kts

600 kts

600 kts

Distance to MOD:

35 Nmi

35 Nmi

35 Nmi

LineUp With Math™

results of our analysis

00:00

Target3:48

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

Results of Our Analysis

All 3 planes:

Are the same distance, 35 Nmi, from MOD.

Are flying at the same speed, 600 kts.

Arrive at MOD at the same time!!!

LineUp With Math™

ways to resolve the conflicts

00:00

Target3:48

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

Ways to Resolve the Conflicts

Route Change(s)

Speed Change(s)

LineUp With Math™

resolve the conflict at oal

00:00

Target3:48

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

Resolve the Conflict at OAL

Change the route for AAL12to go direct from MINAH to MOD.

LineUp With Math™

analyze the route change

00:00

Target3:48

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

Analyze the Route Change

What’s the new flight distance to MOD for AAL12?

What’s the new spacing at MOD?

LineUp With Math™

slide17

00:00

Target3:48

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

Resolve the DAL88/UAL74 Conflict

540 kts

Let’s reduce the speed of UAL74.Try 540 knots (smallest reduction).

LineUp With Math™

try the route and speed changes

AAL12

600 kts

DAL88

600 kts

UAL74

540 kts

Try the Route and Speed Changes

1. Reset Problem 3-8.

2. Change the route of AAL12 direct from MINAH to MOD.

(Click AAL12 call sign)

3. Slow UAL74 to 540 kts.

(Click UAL74 speed)

4. Run the problem.

LineUp With Math™

result of route speed changes

3:54

3 Nmi

4 Nmi

Target3:48

MOD

AAL12

600 kts

DAL88

600 kts

UAL74

600 kts

10

5

0

Result of Route & Speed Changes

At MOD, note the spacing and time:

3 Nmi between AAL12 & DAL884 Nmi between DAL88 & UAL743 minutes, 54 seconds (target is 3:48)

How can you keep UAL74 from falling so far behind?

LineUp With Math™

review analyze the spacing
Review & Analyze the Spacing
  • Click Review.
  • Drag the slider to 1 min. Note the plane spacing.
  • Repeat at 2 min. and 3 min.
  • When should we speed up UAL74 to maintain the 3Nmi spacing between DAL88 and UAL74?

LineUp With Math™

solution summary

AAL12

600 kts

DAL88

600 kts

UAL74

540 kts

Solution Summary

1. Click Solve.

2. Reset Problem 3-8.

3. Change the route of AAL12 direct from MINAH to MOD.

4. Slow UAL74 to 540 kts.

5. After 3 minutes, speed up UAL74 to 600 kts.

LineUp With Math™

the math behind the speed changes

3 minutes

2 minutes

1 minute

30

30

20

20

10

10

0

0

The Math Behind the Speed Changes

D = R • T

Gaby10 steps/minute

Tonisha9 steps/minute

Start

Distance - steps

LineUp With Math™

useful facts

A plane’s speed is 540 knots

In 60 minutes, it flies 540 Nmiles.

In one minute, it flies ? Nmiles.

Useful Facts

A plane’s speed is 600 knots (600 Nmiles per hour).

In 60 minutes, it flies 600 Nmiles.

In one minute, it flies ? Nmiles.

10

1 hr = 60 minutes

9

LineUp With Math™

speed changes proportional reasoning

3 minutes

2 minutes

1 minute

30

30

30

30

20

20

20

20

10

10

10

10

0

0

0

0

Speed Changes & Proportional Reasoning

D = R • T

Gaby10 steps/minute

Tonisha9 steps/minute

Start

Distance - steps

DAL88 at 600 kts10 Nmiles /minute

UAL74 at 540 kts9 Nmiles/minute

Start

Distance - Nmiles

LineUp With Math™

reducing speed in 60 knot increments

3 minutes

2 minutes

1 minute

DAL88 at 600 kts10 Nmiles /minute

30

30

30

30

20

20

20

20

10

10

10

10

0

0

0

0

UAL74 at 540 kts9 Nmiles/minute

UAL74 at 480 kts8 Nmiles/minute

UAL74 at 420 kts7 Nmiles /minute

Reducing Speed in 60-Knot Increments

Distance - Nmiles

LineUp With Math™

classroom materials
Classroom Materials
  • Student Workbooks
  • On-line Simulator
  • Videos
  • Teacher Guides
  • Answers and Solutions

Free Online!

LineUp With Math™

slide27

www.smartskies.nasa.gov

Free!

Teacher access to ALL materials

Smart Skies Homepage

Click here forLineUp With Math

http://smartskies.nasa.gov

LineUp With Math™

slide28

www.atcsim.nasa.gov

Free!

Simulator & Student Page

Accessible to Students, as well as Teachers

Click Here to Open the Simulator

LineUp With Math™

slide29

Thank you from

Smart SkiesTM

What’s on your radar screen?