Life is a Puzzle. Let's solve it with numbers.
We have a wonderful community of readers, with diverse backgrounds and with various experiences, and together we can crack almost any problem.
Case in point: Last week, a girls' soccer coach and a reader, Lauren, asked me to help creating a play/rest timetable for her team. This is a fun real-life math challenge to share with your family and friends.

Image from Flckr distributed under the CCL
Lauren wrote:
We have 11 girls on our soccer team.
The games are split into 2 halves, each one is 30 minutes long for a total of 60 minutes in a game.
3 of our girls play goalie
There are 5 girls on the field and 1 goalie per shift for of a total of 6 girls on the field at one time.
The goalies should play equal amounts of the game and play consecutive shifts without subbing until their shift is over. After playing goalie or before playing goalie, the girl should be on the field as one of the 5 playing.
Each of the other 8 girls on the team who are not playing goalie, should play equal shifts on the field, alternating being in the game and being on the sidelines.
How many shifts do the 8 girls get and how long should the shifts be?
Also, how many shifts do the 3 girls get in goal and how long should their goalie shifts be?
Is there a solution to this problem?
As Shakira is singing to the World Cup players:
The pressure is on
You feel it
But you've got it all
Believe it!
Let's see. We have 60 minutes in a game overall.
At any given moment there are 6 players on a field. So, we have 60 x 6 = 360 playminutes total to divide among players.
60 of these minutes are goalie minutes and the rest 300 are regular playing minutes.
Start with dividing goalie time, as it is easier:
60 mins, 3 goalies, to be fair we need 60/3 = 20 mins for each goalie at the goal.
Now, we have 300 regular playing minutes. 8 players that should get equal amounts of time on the field and plus it seems that we should leave some play time for the goalies to run around with a ball. Lauren doesn't say whether each of 3 goalies should play the same time as regular players, so we assume that this is not a requirement.
Assume that regular players each play time T1 and goalies each spend T2 min running in the field.
So we have:
8 x T1 + 3 x T2 = 300
There are actually many solutions to this.
Pick any reasonable number of minutes as T1 and get a matching value for T2 from this equation.
The easiest will be to let each of the 8 regular players play a full half = 30min.
If T1=30min
8 x 30 + 3 x T2 = 300
240 + 3 x T2 = 300
3 x T2 = 60
T2 = 20
Each of the 3 goalies will then spend 20 min at the goal, 20 min playing in the field and 20 min resting on the sidelines.
Each of the 8 regular players will then spend 30 min playing. 4 will play first half and 4 second half.
Easy and fair.
But what will happen if somebody gets sick? How should coach Lauren re-adjust the calculations on a day of the game based on the show up? Assume we have G goalies and P regular players. How can we divide the game time using coach Lauren's description of fair play? Submit your thoughts in the blog post comment.

Image from Flckr distributed under the CCL
Aside from sport, similar scheduling tactics is applicable to many other domains such as dividing a time share property, traffic control, shift management at the restaurant and even chores at home.
Hopefully we'll see game based learning improve! From the game to learn team
ReplyDeletehttp://www.youtube.com/watch?v=trannJU1zPk
Nobody can discover the world for somebody else. Only when we discover it for ourselves does it become common ground and a common bond and we cease to be alone.Flights to Cape Town
ReplyDeletecoach factory outlet, coach outlet store online, louis vuitton outlet, coach purses, tiffany and co, nike free, prada outlet, michael kors outlet, nike shoes, chanel handbags, kate spade handbags, louis vuitton outlet stores, gucci outlet, louis vuitton, prada handbags, louboutin, michael kors outlet, louboutin outlet, longchamp handbags, michael kors outlet, michael kors outlet, longchamp handbags, jordan shoes, tiffany and co, oakley sunglasses, burberry outlet, oakley sunglasses, christian louboutin shoes, oakley sunglasses cheap, coach outlet, michael kors outlet, air max, louis vuitton outlet, true religion jeans, louis vuitton handbags, burberry outlet, ray ban sunglasses, kate spade outlet, michael kors outlet, true religion jeans, air max, tory burch outlet, polo ralph lauren outlet, ray ban sunglasses, longchamp outlet, polo ralph lauren outlet, louboutin
ReplyDeletetimberland, ralph lauren, sac burberry, new balance pas cher, hollister, sac longchamp, air force, barbour, oakley pas cher, converse pas cher, sac louis vuitton, nike free pas cher, sac louis vuitton, louis vuitton, sac hermes, nike roshe, air max, polo lacoste, abercrombie and fitch, hollister, michael kors, hogan outlet, air max pas cher, louis vuitton uk, nike trainers, sac guess, true religion outlet, north face, vanessa bruno, michael kors, air jordan, nike huarache, air max, nike free, nike roshe run, lululemon, michael kors pas cher, nike air max, polo ralph lauren, longchamp, mulberry, louboutin, true religion outlet, ray ban sunglasses, ray ban pas cher, nike tn, nike blazer, north face, vans pas cher
ReplyDeletejimmy choo outlet, instyler, abercrombie and fitch, celine handbags, nfl jerseys, mac cosmetics, canada goose jackets, herve leger, soccer shoes, ugg boots, beats by dre, north face outlet, mcm handbags, ugg boots, ghd, soccer jerseys, vans shoes, canada goose outlet, uggs outlet, wedding dresses, babyliss pro, longchamp, ugg australia, new balance shoes, ugg pas cher, ferragamo shoes, lululemon outlet, canada goose, rolex watches, bottega veneta, canada goose, valentino shoes, marc jacobs, reebok outlet, uggs outlet, ugg boots, hollister, giuseppe zanotti, birkin bag, p90x, north face jackets, ugg, mont blanc, asics running shoes, nike roshe run, chi flat iron, moncler, canada goose uk, canada goose, insanity workout
ReplyDeleteray ban, timberland boots, parajumpers, wedding dresses, moncler, vans, louis vuitton, supra shoes, air max, converse shoes, moncler, moncler, gucci, coach outlet store online, swarovski, montre homme, hollister, toms shoes, iphone 6 cases, oakley, pandora charms, moncler, karen millen, canada goose, juicy couture outlet, pandora charms, hollister, canada goose, ralph lauren, rolex watches, lancel, converse, louboutin, hollister clothing store, moncler outlet, swarovski crystal, baseball bats, pandora jewelry, juicy couture outlet, ugg, links of london, air max, ugg, thomas sabo, moncler
ReplyDeletetods shoes
ReplyDeletehollister clothing
coach outlet online
soccer jerseys
valentino sale
marc jacobs
mac cosmetics
asics gel kayano
jordan 4 retro
links of london
michael kors outlet
michael kors handbags
true religion
swarovski crystal
lacoste outlet
valentino shoes
ray ban sunglasses online
louis vuitton handbags
christian louboutin
coach outlet online
karen millen dresses
marc jacobs outlet
ray ban sunglasses
polo lacoste pas cher
tiffany and co jewelry
kate spade handbags
michael kors outlet online sale
ed hardy t-shirts
tiffany and co
air max 95
1578meiqing
ReplyDeletetrue religion outlet
nike air max
jordan concords
jordan 11s
jordan 8 playoffs
cheap soccer shoes
coach outlet
louis vuitton
oakley sunglasses
pandora jewelry
michael kors
ralph lauren
chanel bags
jrodan retro
louis vuitton outlet
coach outlet store online
air max uk
ray ban sunglasses
louis vuitton
kobe bryant shoes 2015
coach outlet online
christian louboutin outlet
michael kors handbags
chanel handbags
nike air max
jordan 13
jordan shoes
michael kors
abercrombie
coach outlet
jordan 13
oakley sunglass
louis vuitton handbags
louis vuitton outlet
abercrombie
mont blanc legend
true religion sale
tory burch outlet online
ray ban uk
nhl jerseys
zd0721mizuno running shoes
ReplyDeletemulberry outlet
ugg uk
nhl jerseys wholesale
kobe bryant jersey
hermes bags
michael kors uk
nike free
ray ban sunglasses
nick foles jersey,eagles elite jersey
cowboys jerseys
coach outlet canada
nike air max,nike roshe,nike huarache
wedding dresses
kobe 9
oakley sunglasses
guowenhao0813
ReplyDeletecoach outlet online
new balance shoes
cheap oakley sunglasses, http://www.oakleysunglasses-outlet.us.com
ghd hair straighteners
salomon running shoes
chanel 2.55
beats by dre
nike outlet store
mbt shoes
air max 2014
jordan 11
giuseppe zanotti
kate spade handbags
cheap jordans, http://www.jordan-shoes.us.com
coach outlet store
gucci handbags
lebron shoes
canada goose outlet
moncler coats
abercrombie and fitch
ugg outlet, http://www.uggsoutlet.us.org
bottega veneta outlet
salomon shoes
polo ralph lauren outlet
chanel outlet
discount oakley sunglasses, http://www.oakleysunglassesdiscount.us.com
mont blanc pens
polo lacoste pas cher
ugg boots
ray ban sunglasses
coach outlet canada
jordan shoes, http://www.jordan-shoes.us.com
north face outlet
toms shoes
kate spade outlet
ray ban
coach outlet
asics shoes
karen millen uk
hollister pas cher
ED Hardy Outlet http://www.edhardypopsale.com
ReplyDeleteMichael Kors Outlet http://www.michaelkors--outlets.us.com
Coach Outlet http://www.coachoutletweb.us.com
Kate Spade Outlet http://www.katespadeoutletsstore.us.com
Cheap Jordans http://www.cheapairjordans.us.com
Michael Kors Outlet Store http://www.michaelkorsoutletsstores.us.com
Coach Handbags http://www.handbagcoach.us.com
Coach Factory http://www.coachoutletsonlinestore.us.com
Oakley Sunglasses http://www.oakleyglassesoutlets.us.com
Tory Burch Outlet http://www.toryburch-outlet.us.org
Longchamp Handbags http://www.longchampoutlets.us.com
Louis Vuitton Outlet http://www.pagina16.com
Michael Kors Handbags http://www.innnov8.com
Coach Outlet http://www.innnovate.com
UGG Boots http://www.uggbootsstores.com
Red Bottom Shoes http://www.redbottomshoeoutlet.com
Moncler Jackets http://www.monclerjacketsblackfriday.com
North Face Outlet http://www.northfaceoutletblackfriday.com
Kate Spade Black Friday http://www.katespadeoutletblackfriday.com
Moncler Outlet http://www.monclerjacketsoutlet.com.co
Coach Factory http://www.maganates.com
Coach Handbags http://www.coachhandbagsblackfriday.com
Kate Spade Outlet http://www.outletskatespade.com
North Face Jackets http://www.northfacejacketsinc.com
Ray Ban Outlet http://www.raybanoutlets.com.co
Cheap Ray Ban Sunglasses http://www.raybanglasses.name
Burberry Outlet http://www.burberryhandbagsoutlet.com.co
Cheap UGG Boots http://www.uggboots.name
Christian Louboutin Shoes http://www.christianlouboutinshoes.name
North Face Outlet http://www.outletnorthface.name
Coach Factory Outlet http://www.coachfactoryoutlet.name
Kate Spade Outlet http://www.katespadeoutletonline.name
Michael Kors Outlet http://www.michaelkorsoutlet.name
Coach Outlet http://www.coachoutlet.name
Nike Air Max http://www.nikeairmaxstore.ru
Moncler Jackets http://www.monclerjacketsru.ru
Nike Roshe Run http://www.tanienikerosherun.pl
Cheap Nike Air Max http://www.nike-airmaxaustralia.com
Buty Nike Air Max http://www.airmaxsprzedazdla.pl
Nike Air Max Damskie http://www.cheapnikeairmax.pl
Burberry Outlet Balenciaga Outlet Burberry Handbags Balenciaga Handbags Louis Vuitton Wallet Cheap UGG Boots Uggs Boots Kate Spade Outlet Toms Shoes Hermes Blet UGG Boots UGG Boots Outlet UGG Boots Sale Burberry Black Friday Uggs Boots Louis Vuitton Outlet Louis Vuitton Outlet Online North Face Outlet Store North Face Store North Face Factory Outlet The North Face Outlet North Face Outlet Louis Vuitton Factory Outlet Louis Vuittons Handbags Louis Vuittons Outlet Online Timberland Boots Cheap Timberland Boots Timberland Outlet Tory Burch Outlet Store Tory Burch Outlet Online Tory Burch Outlet
ReplyDeleteMichael Kors Outlet Ralph Lauren Outlet Gucci Factory Outlet Gucci Outlet Gucci Handbags Cheap Ray Ban Sunglasses North Face Outlet Store The North Face Jackets Prada Outlet
micahel kors
ReplyDeletehermes belt
oakley sunglasses cheap
fitflops sale clearance
puma outlet
fitflops shoes
michael kors outlet
adidas gazelle
ferragamo outlet
supra store
mont blanc pens outlet
michael kors bags
nike free run flyknit
cheap basketball shoes
ugg boots
ed hardy
coach outlet store
nike air force
michael kors outlet stores
louis vuitton outlet stores
www.coachfactory.com
adidas superstar white
toms shoes
wholesale nike shoes
lebron james shoes 2016
polo outlet
michael kors outlet
cheap ray ban sunglasses
under armour
fitflops shoes
mizuno running shoes
ralph lauren outlet
true religion jeans
michael kors outlet online
discount oakley sunglasses
ghd hair dryer
nike running shoes
nike free 5.0
louis vuitton purse
nike blazer
chenzhen20160523
jianbin0528
ReplyDeletethomas sabo uk
michael kors handbags
ralph lauren,polo ralph lauren,ralph lauren outlet,ralph lauren italia,ralph lauren sito ufficiale
true religion jeans
longchamp handbags
louis vuitton handbags outlet
michael kors outlet uk
louis vuitton outlet
dior sunglasses
swarovski crystal
beats by dre
kate spade uk
rolex watches
coach outlet canada
mulberry handbags
true religion jeans
lebron james shoes
michael kors handbags wholesale
tiffany and co
gucci sunglasses
tiffany and co
lebron shoes
michael kors outlet
louis vuitton sunglasses
cheap replica watches
ferragamo shoes sale
tiffany jewellery
cheap ray ban sunglasses
longchamp pliage
iphone case
ralph lauren outlet
fitflops shoes
rolex watches for sale
chenlina20160624
ReplyDeletelongchamp handbags
jordan retro
longchamp bags
oakley sunglasses
toms outlet
nike trainers uk
gucci handbags
jordan retro 11
air huarache
kate spade handbags
cheap oakley sunglasses
rolex watches
michael kors outlet
replica watches
true religion sale
louis vuitton outlet
michael kors outlet clearance
gucci handbags
louis vuitton
caoch outlet
timberland outlet
louis vuitton outlet
michael kors outlet
louboutin
tory burch outlet online
supra sneakers
cheap oakley sunglasses
hollister clothing
lebron james shoes 13
nike trainers
ed hardy clothing
coach outlet
cheap jordans
nike air max 90
louis vuitton outlet
coach outlet
jordan 3
louis vuitton purses
kate spade outlet
michael kors canada
as
swarovski jewelry
ReplyDeletemichael kors outlet store
ferragamo outlet
longchamp pas cher
puma outlet
tiffany jewelry
cartier outlet store
coach outlet
fitflops clearance
michael kors handbags clearance
toms shoes
ralph lauren outlet
giuseppe zanotti shoes
mont blanc outlet
michael kors outlet
ghd uk
true religion jeans
beats by dr dre
tods outlet online
jordan shoes
cartier watches
chaussure louboutin
ralph lauren polo
tory burch outlet online
true religion outlet
cheap jordan shoes
mbt shoes
swarovski crystal
nike roshe run
adidas uk
reebok outlet store
new balance shoes
rolex watches for sale
new balance outlet
nike air max 90
chanyuan0726A
http://www.cheap--jordans.us.com
ReplyDeletehttp://www.cheapairjordan.uk
michael kors outlet online
michael kors handbags
discount oakley sunglasses
michael kors factory outlet
jordan retro
michael kors handbags outlet
michael kors outlet
tiffany and co uk
nike zoom
chrome hearts wholesale
http://www.yeezyboost350.uk
http://www.airjordanretro.uk
adidas nmd uk
nike zoom
cheap basketball shoes
fitflops
yeezy boost
michael kors handbags
tiffany and co jewellery
adidas nmd
kobe shoes
michael kors handbags
adidas stan smith sneakers
adidas stan smith
adidas tubular
http://www.kobesneakers.com
cheap retro jordans
christian louboutin outlet
tiffany,tiffany and co,tiffany and co jewelry,tiffany necklace,tiffany bracelet,tiffany ring,tiffany earrings
nike roshe run
yeezy boost 350 for sale
cheap oakley sunglasses
adidas nmd
gg
Quester is a Pakistan-based questioning answering website where people can ask questions and we try our best to provide them with the best answers. Anyone can ask any legit question in English or Roman Urdu and we provide answers in the same language format. www.quester.pk
ReplyDeleteQuester is a Pakistan-based questioning answering website where people can ask questions and we try our best to provide them with the best answers. Anyone can ask any legit question in English or Roman Urdu and we provide answers in the same language format. www.quester.pk
ReplyDeletemichael kors handbags wholesale
ReplyDeletecheap nfl jerseys wholesale
instyler max 2
nike huarache trainers
ed hardy outlet
pandora charms
michael kors handbags sale
tiffany and co outlet
lebron shoes
longchamp le pliage