![Page 1: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/1.jpg)
What’s Worse than Losing?What’s Worse than Losing?
![Page 2: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/2.jpg)
In a RaceIn 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?
![Page 3: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/3.jpg)
FinishedFinished
By
Richard Holden
![Page 4: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/4.jpg)
OverviewOverview
• The race
• The challenge
• The diameter path
• The hypotenuse path
• The winner
• The final words
![Page 5: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/5.jpg)
Dreams of ChampionshipDreams of Championship
• Sarah (age 13)– Bicycle enthusiast– Fiercely competitive– “Win at all costs”
• Sarah’s goal– Win the grand race– Beat her friend Katie– Brag to everyone– Show off her trophy
![Page 6: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/6.jpg)
The 100 Mile RaceThe 100 Mile Race
• Sarah’s average racing speed is 12.5 mph• Sarah’s strong point is her extremely fast start• Last year’s champion finished in 7 ½ hours• At 12.5 mph, Sarah would finish it in ____ hours8
Solution: 100 miles ÷ 12.5 mph = 8 hours
![Page 7: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/7.jpg)
The ChallengeThe 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
Solution: 8 hrs – 7 ½ hrs = 30 minutes
30
![Page 8: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/8.jpg)
Save Time by Saving MilesSave 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?
Solution: 12.5 ÷ 2 = 6.25 miles
6.25
![Page 9: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/9.jpg)
Cut Total Distance? HOW?Cut Total Distance? HOW?
• Sarah’s 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
![Page 10: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/10.jpg)
The Race Track
(100 miles)
24 miles
15.7 miles
23 miles
13 miles
20 miles 4.3 miles
![Page 11: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/11.jpg)
The First Shortcut
24 miles
15.7 miles
23 miles
13 miles
20 miles 4.3 miles
Hint: C= πD
![Page 12: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/12.jpg)
The First Shortcut
24 miles
15.7 miles
23 miles
13 miles
20 miles 4.3 miles
C= πD2*15.7 = 3.14D31.4 = 3.14D3.14 3.14 10 = D
10 mi
Miles saved by the first shortcut? 15.7 – 10 = 5.7 miles
![Page 13: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/13.jpg)
The Second Shortcut
24 miles
15.7 miles
23 miles
13 miles
20 miles 4.3 miles
10 mi
12 mi
5 mi ? Hint: Use the Pythagorean Theorem
![Page 14: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/14.jpg)
The Second Shortcut
24 miles
15.7 miles
23 miles
13 miles
20 miles 4.3 miles
10 mi
12 mi
5 mi 13 miA2 + B2 = C2
52 + 122 = C2
25 + 144 = C2
169 = C2
13 = C
Miles saved by second shortcut?
11 mi
8 mi
12 + 5 – 13 = 17 – 13 = 4 mi
![Page 15: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/15.jpg)
The Objective is Met!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!!
![Page 16: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/16.jpg)
Change of EventsChange of Events
Unfortunately---
Or perhaps fortunately---
Things did not go as planned for
Sarah
![Page 17: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/17.jpg)
24 miles
15.7 miles
23 miles
13 miles
20 miles 4.3 miles
10 mi
12 mi
5 mi 13 mi
11 mi
8 mi
Sarah is Finished!!
Banned from all
future races
![Page 18: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/18.jpg)
The Winner!!!The Winner!!!
Katie!• Sarah’s best friend• Finished in 7 hrs 45 min.• Followed all the rules• Was cheered by
everyone!• Received a well-earned
trophy
![Page 19: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/19.jpg)
Sarah’s Final WordsSarah’s Final Words
“Trust me—
It’s better to finish the race, than to be finished racing.”
![Page 20: Whats Worse than Losing? 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](https://reader035.vdocuments.mx/reader035/viewer/2022062404/5519f7025503464c588b487b/html5/thumbnails/20.jpg)
CreditsCredits
• Character names taken from book, The Cheat, by Amy Goldman Koss– Sarah– Katie
• Pictures and graphics from MicroSoft’s Clips Online