Concepts used:

Measurement

Time

Elapsed Time

24 Hour clock

Integers

Working w. a formula


Grade level:

Grades 5-8


Subject areas:

Math

Science

English


Standards

NCTM

-Properties and Relationships of Numbers

-Algebra

-Measurement

-Problem Solving

-Connections

-Representations

-Technology


2007 NETS*S

1c, 3a, 3c, 4c, 6a, 6b

Around the World in 80 Days 40 Hours (Kmz file) Objectives Calculate elapsed time. Calculate time from one time zone to another. Use a formula to calculate differences in time zones. Lesson Description In this activity students will take part in a series of consecutive plane trips around the world while keeping track of the time for each time zone they land in. This could be considered Part 2 of RWM’s Time Zone Problems lesson in which students convert time from time zone to another. The major difference between the two is that in this activity the students add on elapsed time and then calculate the local time for each airport they land at. Anyone who has taken an airplane flight across time zones has experienced this real world math problem. Imagine trying to reset your watch if you travelled completely around the world. In the scenario presented to students, Phil Fogg starts his trip in Honolulu and attempts his circumnavigation in 40 hours using commercial airliners. After stops in Tokyo, Paris, and other cities he returns back to Honolulu. These exercises are quite confusing. In addition to converting time between time zones, the students must also add on the time for each flight from airport to the next. A solid understanding of regrouping with units of time is needed for this, as some flights pass from one date to the next. To simplify matters, daylight savings time is not considered nor are the layover times at each airport. The Google Earth Kmz file for this lesson is the same as the Time Zone Problems lesson. You may wish to refer back to that lesson and review some of the skills discussed, including the time zone conversion formula (see below). Students should have an easier time performing these problems if they use 24 Hour clock times. Be sure to point out that time is not a base 10 system but rather base 60 for minutes and base 24 for hours. I’ve included a travel log with the downloads below. I would recommend treating this as a passport to stamp as students successfully calculate each landing time. You’ll want to keep track of their work because once they make an error it will continue for the remainder of the exercises. Finally, I considered having two routes for this lesson: one westward and the other eastward. Perhaps I’ll add that in the future. As always, you are encouraged to adapt this lesson as you wish. Feel free to add stops or change the route. The conversion formula relies on the knowledge of what time zone each site is located. This is easily found in the Google Earth download in the form of icons that circle the globe. Clicking on one of these icons will display the offset value from Coordinated Universal Time (UTC). Since the time in zone A - the UTC offset value of zone A = time in zone B - the UTC offset value of zone B the following formula can be used... time in zone A = time in zone B - UTC offset of zone B + UTC offset of zone A or A = B - UTCB + UTCA Notes: I’ve purposefully avoided the inclusion of Daylight Savings Time in worksheet’s problems since this adjustment is not used everywhere or all year long. You can easily add this aspect to the problems if you wish, but be aware that you would be altering the 40 hour trip. Barnabu was the source I used for mapping the time zones in Google Earth. You can find a link to their Google Earth KML below. Their version was too good to use since it provides the current time for each time zone. I thought this would be confusing for students. This activity is loosely based on the Jules Verne novel Around the World in 80 Days. Perhaps the English department could supply a parallel activity. Downloads Around the World... - Google Earth .kmz file Around the World... - Student Worksheet - Word .doc Around the World... - Travel Log - Word .doc Around the World... - Teacher Key - Word .doc Helpful links Time Zone Problems @ realworldmath.org Time Zone @ Kids.Net.Au How the International Date Line Works by shepdi @ YouTube Real World: Longitude and Time Zones by NASAeClips @ YouTube Google Earth Time Zone add-on by Barnabu The World Clock - Time Zone Convertor @ timeanddate.com Time Zone Convertor @ timezoneconvertor.com Back to Concept Lesson’s page Around_the_World..._files/AROUND%20THE%20WORLD.kmzTime_Zone_Problems.htmlTime_Zone_Problems.htmlTime_Zone_Problems.htmlhttp://www.barnabu.co.uk/google-earth-5-world-time-zone-clock-javascript-and-kml/Around_the_World..._files/AROUND%20THE%20WORLD_1.kmzAround_the_World..._files/Around%20the%20World-Student%20wkst.docxAround_the_World..._files/Travel%20Log.docxAround_the_World..._files/Around%20the%20World-Teacher%27s%20Key.docxTime_Zone_Problems.htmlhttp://encyclopedia.kids.net.au/page/ti/Time_zonehttp://www.youtube.com/watch?v=hPpWCTHjzQI&feature=relatedhttp://www.youtube.com/watch?v=kDWHM00sZJc&feature=relatedhttp://www.barnabu.co.uk/google-earth-5-world-time-zone-clock-javascript-and-kml/http://www.timeanddate.com/worldclock/converter.htmlhttp://www.timezoneconverter.com/cgi-bin/tzc.tzcConcept_Lessons.htmlshapeimage_2_link_0shapeimage_2_link_1shapeimage_2_link_2shapeimage_2_link_3shapeimage_2_link_4shapeimage_2_link_5shapeimage_2_link_6shapeimage_2_link_7shapeimage_2_link_8shapeimage_2_link_9shapeimage_2_link_10shapeimage_2_link_11shapeimage_2_link_12shapeimage_2_link_13shapeimage_2_link_14shapeimage_2_link_15shapeimage_2_link_16

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