Future Advertising Strategies - Theories, Persuasion Principles, and Value
Strategies and Principles
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Transcript of Strategies and Principles
Copyright © 2014, 2010, 2007 Pearson Education, Inc.Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section 1.2, Slide 1
Problem Solving1
Strategies and Principles
Copyright © 2014, 2010, 2007 Pearson Education, Inc.Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section 1.2, Slide 2
Inductive and Deductive Reasoning
1.2
• Understand how inductive reasoning leads to making conjectures
• Give examples of correct and incorrect inductive reasoning
(continued on next slide)
Copyright © 2014, 2010, 2007 Pearson Education, Inc.Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section 1.2, Slide 3
Inductive and Deductive Reasoning
1.2
• Understand the difference between inductive and deductive reasoning
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.2, Slide 4
Inductive Reasoning
• Example: Consider the numbers 72, 963, 10,854, and 7,236,261, which are all divisible by 9. Add the digits in each number and make a conjecture based on the pattern.
(solution on next slide)
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.2, Slide 5
Inductive Reasoning
• Example: Consider the numbers 72, 963, 10,854, and 7,236,261, which are all divisible by 9. Add the digits in each number and make a conjecture based on the pattern.
7 + 2 = 9
9 + 6 + 3 = 18
1 + 0 + 8 + 5 + 4 = 18
7 + 2 + 3 + 6 + 2 + 6 + 1 = 27
A number is divisible by 9 if the sum of its digits is divisible by 9.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.2, Slide 7
Incorrect Inductive Reasoning
• Example:
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.2, Slide 8
Incorrect Inductive Reasoning
• Example:
Conjecture (incorrect): the number of regions is given by 2n–1 (n = # of points).
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.2, Slide 9
Deductive Reasoning
• Examples of deductive reasoning:– Mathematical proofs – Step-by-step mathematical solutions– Using scientific laws to make predictions
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.2, Slide 10
Explaining a Number Trick by using Deductive Reasoning
1. Pick a number from 1 to 9
2. Multiply that number by 2
3. Add 5 to the number you got in step 2
4. Multiply the number you obtained in step 3 by 50.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 1.2, Slide 11
Explaining a Number Trick by using Deductive Reasoning
5. If you have already had your birthday this year, add 1765, if you haven’t, add 1764
6. Subtract the four-digit year that you were born.
7. I can tell you what number you started with and how old you are!