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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
Problem-Solving Guidelines • UNDERSTANDthe problem • Develop and carry out aPLAN • Find theANSWERand CHECK 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.
Example 1 • 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.