1. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 1 Problem Solving 1 Strategies and Principles

2. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 2 Problem Solving1.1 Understand Polya’s problem- solving method State and apply fundamental problem-solving strategies Apply basic mathematical principles to problem solving (continued on next slide)

3. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 3 Problem Solving1.1 Use the Three-Way Principle to learn mathematical ideas

4. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 4 George Polya’s Problem-Solving Method Step 1: Understand the problem. Step 2: Devise a plan. Step 3: Carry out your plan. Step 4: Check your answer.

5. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 5 Problem-Solving Strategies Example: Each person in a group of four will shake hands with all the others. How many handshakes?

6. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 6 Problem-Solving Strategies Example: Each person in a group of four will shake hands with all the others. How many handshakes?

7. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 7 Problem-Solving Strategies Example: One group of dance students is taking swing lessons and another is taking Latin dance.

8. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 8 Problem-Solving Strategies Example: Make a table showing available iPhone features.

9. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 9 Problem-Solving Strategies

10. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 10 Problem-Solving Strategies

11. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 11 Problem-Solving Strategies

12. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 12 Some Mathematical Principles

13. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 13 Some Mathematical Principles

14. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 14 Some Mathematical Principles

15. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 15 Some Mathematical Principles

16. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 16 Some Mathematical Principles

17. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 1.1, Slide 17 Some Mathematical Principles