LIVE INTERACTIVE YOUR DESKTOP Start recording—title slide—1 of 3 1 November 28, :30 p.m. – 8:00 p.m. Eastern time Distance/Rate/Time Problems: Smart Skies Presented by: Jordan Snyder

Introducing today’s presenter… Introducing today’s presenters Jordan Snyder NASA Explorer Schools Education Specialist NASA Goddard Space Flight Center Greenbelt, MD 2

Distance/Rate/Time Problems SMART SKIES Line-up with Math Presented by Jordan Snyder

Agenda NASA Connection Lesson Info and Teacher Prep The Lesson Modifications and Extensions NASA Explorer Schools

Why is air traffic control important?

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

How is NASA involved in Aeronautics?

NASA Air Traffic Control

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Lesson Information What do you need to know? What will students learn? Where does the lesson fit?

What Should You Know? Distance/Rate/Time Investigations in Air Traffic Control Two programs for grades 5-9 Line Up with Math 45 minutes per problem

What Should You Know? Fly-By Math Six interactive distance/rate/time problems Paper and pencil to answer the problem Students take on the role of a pilot, air traffic control and act out the problems

What Should You Know?

What will students learn? Use mathematical reasoning Use scientific inquiry Utilize problem solving tools and approaches

Explore with the Simulator. Classroom Implementation Do the math in the Workbook. Meet the time challenge. LineUp With Math™

Student Workbook

Classroom Materials – Educator Guide – Teacher Guide for each Problem Set with Answers and Solutions Educator Materials: – 2-page Quick Start Guide Free Online! – Answers & Solutions to All Simulator Problems LineUp With Math™

Classroom Materials Student Materials: – Videos – Simulator – Student Workbook for each Problem Set Free Online! – Animated Simulator tutorial – Simulator Quick Start Guide LineUp With Math™

A Workbook for Each Problem Set LineUp With Math™

Workbooks Support the Simulator Paper-and-pencil worksheets introduce: - Air traffic control concepts - Problem analysis and solution methods Structured learning environment Initial worksheets provide most scaffolding LineUp With Math™

Common Core Standards 8.F-Use functions to model relationships between quantities. Pro8.EE-Understand the connections between proportional relationships, lines and linear equations. 7.RP-Analyze proportional relationships and use them to solve real-world and mathematical problems.

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The Lesson 00:00 Target 3:48 UAL kts AAL kts DAL kts

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™

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

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™

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™

00:00 Target 3:48 Analyze Problem 3-8 AAL12DAL88UAL74 LineUp With Math™ Distance to MOD: Speed:

00:00 Target 3:48 Distance to MOD: AAL12DAL88UAL74 Speed: LineUp With Math™ 600 kts 35 Nmi Analyze Problem 3-8

00:00 Target 3:48 Distance to MOD: AAL12DAL88UAL74 Speed: LineUp With Math™ 600 kts 35 Nmi 600 kts 35 Nmi Analyze Problem 3-8

00:00 Target 3:48 Distance to MOD: AAL12DAL88UAL74 Speed: LineUp With Math™ 600 kts 35 Nmi 600 kts 35 Nmi 600 kts 35 Nmi Analyze Problem 3-8

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

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

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

00:00 Target 3:48 UAL kts AAL kts DAL kts 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™ Results of Analysis

00:00 Target 3:48 UAL kts AAL kts DAL kts Route Change(s) Speed Change(s) LineUp With Math™ Resolving the Conflicts

Try a Route Change Can you change the route for: UAL74? DAL88? AAL12? 00:00 Target 3:48 DAL kts UAL kts AAL kts LineUp With Math™

Analyze the Route Change Let’s change the route for AAL12. What is its new flight distance to MOD? 00:00 Target 3:48 DAL kts UAL kts AAL kts LineUp With Math™

Try Using a Speed Change 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™

Reset Problem 3-8 Reset LineUp With Math™

UAL kts AAL kts DAL kts Try Route & Speed Changes Send AAL12 direct MINAH to MOD. Click on AAL12 Call Sign to Change Route Click on UAL74 Speed to Change Speed LineUp With Math™ Slow UAL74 to 540 kts.

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™

Run & Analyze the Spacing Reset the problem. As before, reroute AAL12 & slow UAL74. Run the problem and pause at 1 min. Note the plane spacing. Repeat at 2 min. and 3 min. LineUp With Math™

UAL kts AAL kts DAL kts Solution Summary 3. After 3 minutes, speed up UAL74 to 600 kts. LineUp With Math™ 2. Slow UAL74 to 540 kts. 1. Change the route of AAL12 direct from MINAH to MOD.

Terms Watch for these terms in this video. There WILL be a quiz at the end! Nautical mile Knots Sector Air Traffic Controller Minimum Spacing Ideal Spacing

Sector 33 Quiz 1. What is the unit of measurement for distance in the air? 2. 1 nautical mile = ____ land miles 3. 5 nautical miles per hour = _____ Knots 4. How is the airspace above the U.S. divided? 5. How are individual planes represented on an air traffic control screen? 6. Ideal spacing = ___Nmi

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

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

Free!Free! Teacher access to all materials LineUp With Math Homepage LineUp With Math™

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Extensions

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

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

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

How do walker speeds (steps per minute) relate to plane speeds (nautical miles per hour)? LineUp With Math™ Connect Knots & Steps Per Minute

How do walker speeds (steps per minute) relate to plane speeds (nautical miles per hour)? LineUp With Math™ Connect Knots & Steps Per Minute Controllers make decisions in minutes, not hours. So controllers use speed in miles per minute.

Minute by Minute 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. LineUp With Math™

Minute by Minute 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 LineUp With Math™

Minute by Minute 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. LineUp With Math™

Minute by Minute 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. LineUp With Math™ 9

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™

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 LineUp With Math™ Speed Changes & Proportional Reasoning D = R T

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 LineUp With Math™ Speed Changes & Proportional Reasoning D = R T

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 LineUp With Math™ Speed Changes & Proportional Reasoning D = R T

Distance - Nmiles 420 kts 7 Nmi/min kts 8 Nmi/min Reducing Speed in 60-Knot Increments LineUp With Math™ 600 kts 10 Nmi/min 540 kts 9 Nmi/min min2 min3 min

Contact Your Local FAA Bring in a speaker Take a tour at the airport

Sector 33 Ipad App

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

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Thanks to today’s presenter! Introducing today’s presenters Jordan Snyder NASA Explorer Schools Education Specialist NASA Goddard Space Flight Center Greenbelt, MD

Thank you to the sponsor of tonight’s web seminar: This web seminar contains information about programs, products, and services offered by third parties, as well as links to third-party websites. The presence of a listing or such information does not constitute an endorsement by NSTA of a particular company or organization, or its programs, products, or services. Thank you to the sponsor of tonight’s web seminar—1 of 6

Thank you to NSTA administration—2 of 6 National Science Teachers Association Gerry Wheeler, Interim Executive Director Zipporah Miller, Associate Executive Director, Conferences and Programs Al Byers, Ph.D., Assistant Executive Director, e-Learning and Government Partnerships Flavio Mendez, Senior Director, NSTA Learning Center NSTA Web Seminars Brynn Slate, Manager Jeff Layman, Technical Coordinator