Whats Worse than Losing

1
Whats Worse than Losing?
2
In a Race

• Are you finished if you lose?
• When are you finished?
• Is there a difference between a race being
  finished and a person being finished?

3
Finished

• By
• Richard Holden

4
Overview

• The race
• The challenge
• The diameter path
• The hypotenuse path
• The winner
• The final words

5
Dreams of Championship

• Sarah (age 13)
• Bicycle enthusiast
• Fiercely competitive
• Win at all costs
• Sarahs goal
• Win the grand race
• Beat her friend Katie
• Brag to everyone
• Show off her trophy

6
The 100 Mile Race

• Sarahs average racing speed is 12.5 mph
• Sarahs strong point is her extremely fast start
• Last years champion finished in 7 ½ hours
• At 12.5 mph, Sarah would finish it in ____ hours

8
Solution 100 miles 12.5 mph 8 hours
7
The Challenge

• Somehow, Sarah would need to reduce her time by
  at least _____minutes to win
• She saw only two possible options
• Pedal faster (an impossible task!!!)
• Reduce the distance she actually travels

30
Solution 8 hrs 7 ½ hrs 30 minutes
8
Save Time by Saving Miles

• Reducing her time by at least 30 min means
  reducing her distance by at least ____ miles
• Hint If Sarah travels 12.5 miles in one hour,
  how many miles would she travel in half an hour?

6.25
Solution 12.5 2 6.25 miles
9
Cut Total Distance? HOW?

• Sarahs secret is
• She knows the area of the race
• She knows of two shortcuts
• Her initial break-away can get her secretly to
  the shortcuts
• She only needs to know if the two shortcuts will
  save her at least 6.25 miles

10
24 miles
15.7 miles
The Race Track (100 miles)
23 miles
13 miles
20 miles
4.3 miles
11
24 miles
15.7 miles
The First Shortcut
23 miles
Hint C pD
13 miles
20 miles
4.3 miles
12
24 miles
15.7 miles
10 mi
The First Shortcut
23 miles
C pD 215.7 3.14D 31.4 3.14D 3.14 3.14
10 D
13 miles
20 miles
4.3 miles
Miles saved by the first shortcut?
15.7 10 5.7 miles
13
24 miles
15.7 miles
10 mi
The Second Shortcut
23 miles
12 mi
5 mi
Hint Use the Pythagorean Theorem
?
13 miles
20 miles
4.3 miles
14
24 miles
15.7 miles
10 mi
The Second Shortcut
23 miles
11 mi
12 mi
A2 B2 C2 52 122 C2 25 144 C2
169 C2 13 C
5 mi
13 mi
13 miles
8 mi
20 miles
4.3 miles
Miles saved by second shortcut?
12 5 13 17 13 4 mi
15
The Objective is Met!

• Objective was to save at least 6.25 miles
• First shortcut saves 5.7 miles
• Second shortcut saves 4 miles
• 5.7 4 9.7 miles saved
• The objective is met with miles to spare!!

16
Change of Events

• Unfortunately---
• Or perhaps fortunately---
• Things did not go as planned for Sarah

17
24 miles
15.7 miles
10 mi
23 miles
Sarah is Finished!! Banned from all future races
11 mi
12 mi
5 mi
13 mi
13 miles
8 mi
20 miles
4.3 miles
18
The Winner!!!

• Katie!
• Sarahs best friend
• Finished in 7 hrs 45 min.
• Followed all the rules
• Was cheered by everyone!
• Received a well-earned trophy

19
Sarahs Final Words

• Trust me
• Its better to finish the race, than to be
  finished racing.

20
Credits

• Character names taken from book, The Cheat, by
  Amy Goldman Koss
• Sarah
• Katie
• Pictures and graphics from MicroSofts Clips
  Online