Lesson 5

Lesson 5 Summary

Throughout this module, you have explored personal strategies used to solve problems. There are steps that can be used to identify patterns, determine and adapt strategies, and solve the problem. The solutions to problems, puzzles, or games can involve inductive reasoning, deductive reasoning, or both types of reasoning. Whether inductive or deductive reasoning is used, it is important that the solution have enough information so that other people can read and understand the solution.

In this lesson you have seen examples where inductive reasoning was used as part of the solution. These examples involved solving puzzles or winning games that required recognizing patterns, extending a pattern, or identifying a certain order. Games and puzzles were also presented that used deductive reasoning as part of the winning strategy. These games and puzzles were types that required inquiry and discovery to complete. Some problems required both types of reasoning.

In this lesson you applied what you learned about making and proving conjectures to solving problems. For the remainder of this module, you will apply what you have learned about inductive and deductive reasoning to solve geometric problems that involve the properties of angles and triangles.