Problem Set E

Problem Set E

In this Problem Set E, students will determine whether two planes traveling on different merging routes will line up with proper spacing at MOD (the last intersection before the planes leave the airspace sector). If the spacing is not adequate, students will change the speed of one plane to achieve the proper spacing at MOD.

Problem Set E: Educator Guide

Problem Set E: Student Workbook

The planes are traveling at the same altitude and the same constant (fixed) speeds.

In LineUp With MathTM, this is the first set of problems where students use speed change to achieve safe and proper spacing.

This Problem Set also introduces an optimal solution time for each Simulator problem. A “target time” is posted on the Simulator screen. This target is the minimum time required for the last plane to reach the intersection at MOD. An on-screen clock keeps track of the flight time for a student’s solution.

Each program can be explored with the interactive Air Traffic Control (ATC) Simulator. Five of the problems can be more closely examined with Student Workbook E (print-based). The Workbook provides a structured learning environment for exploring the problems with paper-and-pencil worksheets that introduce students to pertinent air traffic control concepts as well as problem analysis and solution methods.

Students will:

• Analyze a sector diagram to identify a spacing conflict between two planes, each traveling at the same speed.
• Resolve the spacing conflict by changing the speed of one plane.
• (Optional) Learn that a given percent reduction in plane speed yields the same percent reduction in distance traveled in the original amount of time. (For a mathematical derivation of this relationship, see Appendix III.)

This activity is part of the Smart Skies: LineUp with Math Lessons