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# 3-12 Reasoning Strategies Warm-ups - PowerPoint PPT Presentation

3-12 Reasoning Strategies Warm-ups. 1. Jody drives 10 miles north, 20 miles east, 10 miles south, and 5 miles west. How far is she from where she started?. Chapter 3. 3-12 Reasoning Strategies. Problem-Solving Guidelines. UNDERSTAND the problem Develop and carry out a PLAN

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3-12 Reasoning StrategiesWarm-ups

1. Jody drives 10 miles north, 20 miles east, 10 miles south, and 5 miles west. How far is she from where she started?

### Chapter 3

3-12 Reasoning Strategies

• UNDERSTANDthe problem

• Develop and carry out aPLAN

Some problems can be solved by listing information in a systematic or organized way. This strategy for solving problems is called Make an Organized List.

• Use the strategy Make an Organized List to solve this problem. The team that wins 3 games in a “best-3-of-5” basketball playoff wins the playoff. In how many ways can a team win 3 games?

• WWW 1 way to win with 0 losses

• LWWW 3 ways to win 3 games

WLWW with 1 loss

WWLW

• LLWWW 6 ways to win 3 games

LWLWW with 2 losses

LWWLW

WLLWW

WLWLW

WWLLW

• 1 + 3 + 6 = 10 There are 10 ways to

win 3 games in the playoff.