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National Aeronautics and Space Administration. Smart Skies TM. NASA’s “LineUp With Math”–. Be An Air Traffic Controller. Grades 5-9. Can you line up the planes?. All Materials Free!. <<Your Venue>>. <<Your Name>>. <<date>>. Intro to Air Traffic Control.

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  1. National Aeronautics and Space Administration Smart SkiesTM NASA’s “LineUp With Math”– Be An Air Traffic Controller Grades 5-9 Can you line up the planes? All Materials Free! <<Your Venue>> <<Your Name>> <<date>>

  2. Intro to Air Traffic Control During the busiest travel times, about how many commercial planes are flying in the US? About 5,000 planes!

  3. World’s Largest D-R-T Problem <<Show the video: “24-Hours of Flight”>>

  4. Two Classroom Activity Sets • Real-world applications • Hands-on experiments • Multiple representations Free! Free!

  5. www.smartskies.nasa.gov/lineup

  6. 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.

  7. LineUp with MathTM • Full set of free classroom materials • Simulator with dozens of problems • Student workbooks, videos, teacher support materials • Standards-based • Distance = Rate • Time • Proportional reasoning • Problem solving • Decision making • Tested with 4,500students nation-wide

  8. Intro to ATC and the Simulator << Show the video: “Welcome to Sector 33”>>

  9. Typical Problem 00:00 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts • 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.

  10. ATC Simulator Problem 3-8 00:00 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts To SFO Three planes all flying to SFO through Modesto (MOD).

  11. The Goal at MOD 3:48 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts The planes must be spaced 3 Nmi apart at MOD. The last plane must arrive in 3 mins and 48 secs.

  12. 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

  13. Select Problem 3-8 Select Problem

  14. Operating the Simulator Toggle the call sign arrow to change route Toggle the speed arrow to change speed Control buttons

  15. Try Problem 3-8 on the Simulator • Go to www.atcsim.nasa.gov • Click on “Link to the simulator.” • Select and run Problem 3-8 without changes. • Try solving Problem 3-8 with route changes and/or speed changes.

  16. 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 Speed: 600 kts 600 kts 600 kts Distance to MOD: 35 Nmi 35 Nmi 35 Nmi

  17. Results of Our Analysis 00:00 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts 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!!!

  18. Ways to Achieve 3 Nmi Spacing 00:00 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts To SFO Route Change(s) Speed Change(s) Altitude Change(s)

  19. Try Using a Route Change 00:00 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts To SFO Can you change the route for: UAL74? DAL88? AAL12? No No Yes

  20. Analyze the Route Change 00:00 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts Let’s change the route for AAL12. What’s its new flight distance to MOD?

  21. Try Using a Speed Change 00:00 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts To SFO 540 kts Let’s reduce the speed of UAL74.Try 540 knots (smallest reduction).

  22. Our Strategy “AAL12 cleared direct MINAH to MOD.” “UAL74 reduce speed to 540 knots.”

  23. Reset Problem 3-8 Reset

  24. Try the Route & Speed Changes AAL12 600 kts DAL88 600 kts UAL74 540 kts Send AAL12 direct MINAH to MOD. Click on AAL12 Call Sign to Change Route Slow UAL74 to 540 kts. Click on UAL74 Speed to Change Speed

  25. 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 At MOD, note the spacing and time: 3 Nmi between AAL12 & DAL88≈4 Nmi between DAL88 & UAL743 minutes, 54 seconds (target is 3:48) How can you keep UAL74 from falling so far behind?

  26. Investigate the problem in Review mode. Pause at 1, 2, & 3 minutes. Note the plane spacing each minute. Review & Fine Tune the Solution

  27. Review the Problem 3-8 Experiment Review

  28. Using Review Mode

  29. The Solution AAL12 600 kts DAL88 600 kts UAL74 540 kts At exactly 3 minutes, UAL74 is exactly 3 Nmiles behind DAL88. 1. Return to Solve Mode & reset the problem. 2. Change the route of AAL12 direct from MINAH to MOD. 3. Slow UAL74 to 540 kts. 4. After 3 minutes, speed up UAL74 to 600 kts.

  30. Goal Achieved! 3:48 Target3:48 AAL12 600 kts DAL88 600 kts UAL74 600 kts To SFO The planes are spaced 3 Nmi apart over MOD. The last plane arrived in 3 min and 48 sec.

  31. Create Your Own ATC Problems

  32. Understanding Speed Change • We changed a plane’s speed to achieve Ideal Spacing and meet the Target Time. • How did we know which speed to select? • Why is the speed menu in 60-knotincrements (600 kts, 540 kts, 480 kts …)? • To explain, we begin with 2 walkers.

  33. The Math Behind the Speed Changes 3 minutes 2 minutes 1 minute 30 30 20 20 10 10 0 0 D = R • T Gaby10 steps/minute Tonisha9 steps/minute Start Distance - steps

  34. Connect Knots & Steps Per Minute • How do walker speeds (steps per minute) relateto plane speeds (nautical miles per hour)? • Controllers make decisions in minutes, not hours. So controllers use speed in miles per minute.

  35. Useful Facts A plane’s speed is 540 knots In 60 minutes, it flies 540 Nmiles. In one minute, it flies ? Nmiles. 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

  36. 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 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

  37. Reducing Speed in 60-Knot Increments 3 min 2 min 1 min 600 kts10 Nmi/min 30 30 30 30 20 20 20 20 10 10 10 10 0 0 0 0 540 kts9 Nmi/min 480 kts8 Nmi/min 420 kts7 Nmi/min Distance - Nmiles

  38. Solution Strategy Determine: The order of plane arrival and spacing at MOD How much each plane must fall back If you can, use a route change If not, then use speed change and duration Apply this strategy to Problem 2-6.

  39. A ATC INTRO D SPEED INTRO 6 Problem Sets Introduction to ATC Speed Changes Route Changes E F B C CHANGE SPEED CHANGE SPEED CHANGE ROUTE CHANGE ROUTE Do some or all or Problem Sets in each grade level.

  40. Classroom Implementation Explore with the Simulator. Do the math in the Workbook. Meet the time challenge.

  41. www.smartskies.nasa.gov Smart Skies Homepage For Teachers Free!

  42. www.smartskies.nasa.gov/lineup LineUp With Math™ Homepage Aligned to state math standards, grades 5-9 For Teachers Free!

  43. LineUp With Math Educator Materials Free Online! • 2-page Quick Start Guide • Educator Guide • Teacher Guide for each Problem Set with answers & solutions • Animated simulator intro • Simulator user guide (print) • Answers & solutions to all simulator problems

  44. LineUp With Math Student Materials Free Online! • Movies • Workbook for each Problem Set • ATC simulator • Animated simulator intro • Simulator user guide (print)

  45. www.atcsim.nasa.gov Simulator Homepage For Students & Teachers Free!

  46. Materials for Teacher Workshops www.smartskies.nasa.gov/trainer Choose either product Download a PowerPoint presentation

  47. Smart Skies Dissemination • MTMS cover article, August 2006 • Chosen for NCTM’s online project, Making Connections: Mathematics across Disciplines • Professional development workshops: NCTM, NSTA, CMC,…

  48. Smart Skies Dissemination • National partnership with FAA • Classroom visits from air traffic controllers • Student visits to air traffic control facilities www.faa.gov/education • Museums • Smithsonian Udvar-Hazy Center • Other aviation museums nation-wide

  49. Sector 33 Mobile Gamewww.nasa.gov/sector33 for iPad, iPhone, iPod touch Designed to: • Interest students in aeronautics-related careers • Connect mathematics and problem solving to the real world • Serve as an extension to LineUp With Math

  50. Contact Us <<Your contact information>>

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