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Ch3.5_InductiveReasoning.notebook            October 05, 2011




                   Chapter 3.5 
                   Inductive Reasoning




                 Inductive Reasoning
                 Using patterns to predict
                 future occurrences
Ch3.5_InductiveReasoning.notebook                  October 05, 2011




                        Conjecture
                   A generalization made through
                   inductive reasoning




                 Use Inductive Reasoning 
                 to Predict The Next Figure
Ch3.5_InductiveReasoning.notebook                                   October 05, 2011


                 How Many Segments are formed
                 by Collinear Points? 
                 # of points # of segments
                                AB                      A   B
                     2                         1
                              AB     AC   BC
                      3                                 A   B   C
                                               3
                              AB AC AD
                     4        BC BD CD                  A   B C D
                                                6
                    5                               A   B C D E




                          Use Inductive Reasoning 
                          to Predict The Next Figure

                     1

                     2

                     3


                     4


                     5

                    How many dots in the 14th figure?
Ch3.5_InductiveReasoning.notebook   October 05, 2011




                      Page 126
                      1 ­ 10

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Ch3.5 Inductive Reasoning

  • 1. Ch3.5_InductiveReasoning.notebook October 05, 2011 Chapter 3.5  Inductive Reasoning Inductive Reasoning Using patterns to predict future occurrences
  • 2. Ch3.5_InductiveReasoning.notebook October 05, 2011 Conjecture A generalization made through inductive reasoning Use Inductive Reasoning  to Predict The Next Figure
  • 3. Ch3.5_InductiveReasoning.notebook October 05, 2011 How Many Segments are formed by Collinear Points?  # of points # of segments AB A B 2 1 AB AC BC 3 A B C 3 AB AC AD 4 BC BD CD A B C D 6 5 A B C D E Use Inductive Reasoning  to Predict The Next Figure 1 2 3 4 5 How many dots in the 14th figure?
  • 4. Ch3.5_InductiveReasoning.notebook October 05, 2011 Page 126 1 ­ 10