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Graphic of a sector map with the title Math-Based Decisions in Air Traffic Control (ATC).
NASA aeronautics researchers work on a simulation to test computer tools that can improve air traffic flow and reduce delays.
Simulation participants seated at air traffic control workstations in the NASA Ames ATC lab.

LineUp with Math

In the LineUp with Math part of Smart Skies, participants are challenged to manage simulated air traffic through a variety of increasingly complex problem sets to allow for flexibility based on individual skills. The air traffic control simulator is available for both online use or as a downloadable program.

Smart Skies was developed by NASA and the FAA to build pre-algebraic math skills such as calculating distance, rate of speed, and time to make decisions and resolve conflicts in realistic air traffic control situations. Participants also learn part of what it takes to become an air traffic controller!

Learn More about Smart Skies about LineUp with Math

Aeronautics Stakeholder and Workforce DEV LEAD

April Lanotte

NARI Program specialist

Karen Sullivan

Welcome to LineUp with Math

LineUp with Math consists of six problem sets. Each set enables participants to explore and apply decision-making and proportional reasoning skills to resolve distance-rate-time conflicts with realist air traffic control scenarios. To test each problem, participants input their answers into the interactive air traffic control (ATC) simulator that represents a controller’s screen. The accompanying workbooks that can be printed or completed online provide strategies and the underlying mathematics skills to optimize solutions.

Operator station showing DRAW tools during the fourth human-in-the-loop simulation.

Facilitator Introduction Guide

Question mark symbol

Questions about Smart Skies

Student Workbooks

For each Problem Set, a print-based Student Workbooks provides a structured learning environment. Each Workbook contains paper-and-pencil worksheets that introduce students to pertinent air traffic control concepts as well as problem analysis and solution methods. Participants will apply proportional reasoning to make decisions and resolve conflicts in realistic air traffic control scenarios involving two or more aircraft. The challenge in each problem, is to line aircraft up safely for landing, with proper spacing, at a given intersection of aircraft routes.

Problem Set A, view of an air traffic controller's screen.

Problem Set A

Introduces students to the environment of real air traffic control

Problem Set B image of an Airbaltic Boeing 737-300 landing, Riga International Airport.

Problem Set B

Analyze conflicts between two planes to resolve conflicts by rerouting.

Problem Set C image of aircraft passing through in real time en route to destinations around the world on a monitor.

Problem Set C

Analyze conflicts between three planes to resolve conflicts by rerouting.

Problem Set D image showing a diverse Air Traffic Control Team Working in Modern Airport Tower at Sunset.

Problem Set D

Workbook addresses the basic effects of differences in speed.

Problem Set E image of pilots in a cockpit in an airplane during flight.

Problem Set E

Analyze conflicts between two planes to resolve conflicts by changing speed.

Problem Set F image of a female Air Traffic Controller with Headset Talk on a Call in Airport Tower.

Problem Set F

Analyze conflicts between three planes to resolve conflicts by changing speed.

Facilitator Guides

Each of the six Problem Sets is accompanied by a facilitator guide that includes an overview, a list of objectives, prerequisites, and materials, a discussion and specification of the relevant ATC simulator problems (or other interactive/multimedia components), a discussion of key points for each simulator problem and each workbook worksheet, the solutions for each simulator problem and the answers to each workbook worksheet. For these worksheets, the title matches the number of the associated simulator problem. Four- and five-plane problems are found in the simulator only and are not supported by the student workbooks.

Problem Set A, view of an air traffic controller's screen.

Problem Set A

Introduces students to the environment of real air traffic control

Problem Set B image of an Airbaltic Boeing 737-300 landing, Riga International Airport.

Problem Set B

Analyze conflicts between two planes to resolve conflicts by rerouting.

Problem Set C image of aircraft passing through in real time en route to destinations around the world on a monitor.

Problem Set C

Analyze conflicts between three planes to resolve conflicts by rerouting.

Problem Set D image showing a diverse Air Traffic Control Team Working in Modern Airport Tower at Sunset.

Problem Set D

Workbook addresses the basic effects of differences in speed.

Problem Set E image of pilots in a cockpit in an airplane during flight.

Problem Set E

Analyze conflicts between two planes to resolve conflicts by changing speed.

Problem Set F image of a female Air Traffic Controller with Headset Talk on a Call in Airport Tower.

Problem Set F

Analyze conflicts between three planes to resolve conflicts by changing speed.

Optional Video

24 Hours of Air Traffic across the World

* For those who used our “Flyby Math” program in the past, it is no longer active. However, “LineUp with Math” is better than ever and we are committed to continued updates for Smart Skies.

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