copyright © 2014, 2010, 2007 pearson education, inc. section 1.1, slide 1 problem solving 1...
TRANSCRIPT
Copyright © 2014, 2010, 2007 Pearson Education, Inc.Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section 1.1, Slide 1
Problem Solving1
Strategies and Principles
Copyright © 2014, 2010, 2007 Pearson Education, Inc.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)
Copyright © 2014, 2010, 2007 Pearson Education, Inc.Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section 1.1, Slide 3
Problem Solving1.1
• Use the Three-Way Principle to learn mathematical ideas
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.
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?
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?
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.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 8
Problem-Solving Strategies
• Example: Make a table showing available iPhone features.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 9
Problem-Solving Strategies
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 10
Problem-Solving Strategies
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 11
Problem-Solving Strategies
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 12
Some Mathematical Principles
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 13
Some Mathematical Principles
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 14
Some Mathematical Principles
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 15
Some Mathematical Principles
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 16
Some Mathematical Principles
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.1, Slide 17
Some Mathematical Principles