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

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

Smart Skies TM World’s Largest D-R-T Problem

Smart Skies TM LineUp with Math TM Math-Based Decisions in Air Traffic Control (ATC) Web-based ATC simulator Use a simulator and math - to change plane routes and speeds - to keep planes safely separated and on time. Distance = Rate Time Act as an Air Traffic Controller. LineUp With Math™ Proportional Reasoning

Smart Skies TM 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™ LineUp with Math TM

Smart Skies TM Intro to ATC and the Simulator LineUp With Math™ “Welcome to Sector 33” Video

Smart Skies TM Typical Problem Challenge:  Line up 2 or more planes at MOD, 3 Nmi apart.  Change speed  Change route To do this:  Match the target time.  Requires math. 00:00 Target 3:48 UAL kts AAL kts DAL kts LineUp With Math™

Smart Skies TM 00:00 Target 3:48 UAL kts AAL kts DAL kts ATC Simulator Problem 3-8 Three planes all flying to SFO through Modesto (MOD). LineUp With Math™ To SFO

Smart Skies TM 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. 3:48 Target 3:48 UAL kts AAL kts DAL kts LineUp With Math™

Smart Skies TM A Closer Look at the Goal The planes must be spaced 3 Nmi apart at MOD. The last plane must arrive in 3 mins and 48 secs. 3:48 Target 3: UAL kts AAL kts DAL kts MOD 3 Nmi LineUp With Math™

Smart Skies TM Select and Run Problem 3-8 LineUp With Math™ 1. Select Problem 2. Run Problem

Smart Skies TM 00:00 Target 3:48 Analyze Problem 3-8 Distance to MOD: 600 kts AAL12DAL88UAL74 35 Nmi Speed: 13 Nmi 10 Nmi DAL kts UAL kts AAL kts 12 Nmi LineUp With Math™

Smart Skies TM 00:00 Target 3:48 UAL kts AAL kts DAL kts Results of Our Analysis Are the same distance, 35 Nmi, from MOD. Are flying at the same speed, 600 kts. Arrive at MOD at the same time!!! All 3 planes: LineUp With Math™

Smart Skies TM 00:00 Target 3:48 UAL kts AAL kts DAL kts Ways to Resolve the Conflicts Route Change(s) Speed Change(s) LineUp With Math™

Smart Skies TM Resolve the Conflict at OAL Change the route for AAL12 to go direct from MINAH to MOD. 00:00 Target 3:48 DAL kts UAL kts AAL kts LineUp With Math™

Smart Skies TM Analyze the Route Change What’s the new flight distance to MOD for AAL12? 00:00 Target 3:48 DAL kts UAL kts AAL kts LineUp With Math™ What’s the new spacing at MOD?

Smart Skies TM Resolve the DAL88/UAL74 Conflict Let’s reduce the speed of UAL74. Try 540 knots (smallest reduction). 00:00 Target 3: kts DAL kts UAL kts AAL kts LineUp With Math™

Smart Skies TM UAL kts AAL kts DAL kts Try the Route and Speed Changes LineUp With Math™ 3. Slow UAL74 to 540 kts. (Click UAL74 speed) 2. Change the route of AAL12 direct from MINAH to MOD. (Click AAL12 call sign) 1. Reset Problem Run the problem.

Smart Skies TM At MOD, note the spacing and time: Result of Route & Speed Changes How can you keep UAL74 from falling so far behind? 3:54 Target 3:48 MOD Nmi UAL kts AAL kts DAL kts 4 Nmi 3 Nmi between AAL12 & DAL88 4 Nmi between DAL88 & UAL74 3 minutes, 54 seconds (target is 3:48) LineUp With Math™

Smart Skies TM 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™

Smart Skies TM UAL kts AAL kts DAL kts Solution Summary 5. After 3 minutes, speed up UAL74 to 600 kts. LineUp With Math™ 4. Slow UAL74 to 540 kts. 3. Change the route of AAL12 direct from MINAH to MOD. 2. Reset Problem Click Solve.

Smart Skies TM The Math Behind the Speed Changes Gaby 10 steps/minute Tonisha 9 steps/minute 1 minute 2 minutes 3 minutes Distance - steps Start D = R T LineUp With Math™

Smart Skies TM Useful Facts A plane’s speed is 600 knots (600 Nmiles per hour). In 60 minutes, it flies 600 Nmiles. 1 hr = 60 minutes In one minute, it flies ? Nmiles.10 A plane’s speed is 540 knots In 60 minutes, it flies 540 Nmiles. In one minute, it flies ? Nmiles. 9 LineUp With Math™

Smart Skies TM Gaby 10 steps/minute Tonisha 9 steps/minute DAL88 at 600 kts 10 Nmiles /minute UAL74 at 540 kts 9 Nmiles/minute 1 minute2 minutes3 minutes Distance - steps Distance - Nmiles Start D = R T Speed Changes & Proportional Reasoning LineUp With Math™

Smart Skies TM Distance - Nmiles UAL74 at 420 kts 7 Nmiles /minute UAL74 at 480 kts 8 Nmiles/minute Reducing Speed in 60-Knot Increments LineUp With Math™ DAL88 at 600 kts 10 Nmiles /minute UAL74 at 540 kts 9 Nmiles/minute minute2 minutes3 minutes

Smart Skies TM Classroom Materials LineUp With Math™ – Student Workbooks – On-line Simulator – Videos – Teacher Guides – Answers and Solutions Free Online!

Smart Skies TM Teacher access to ALL materials Smart Skies Homepage Free!Free! LineUp With Math™ Click here for LineUp With Math

Smart Skies TM Free!Free! Accessible to Students, as well as Teachers Simulator & Student Page Click Here to Open the Simulator LineUp With Math™

Smart Skies TM What’s on your radar screen? Smart Skies T M