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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 strategies warm ups
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

Chapter 3

3-12 Reasoning Strategies


Problem solving guidelines
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
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.


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