Superlesson
Project 2-1
Geometry
Chapter 2, The Foundations of Geometry
Advertisers use different methods to convince the public to buy a product or to believe their message. Below are several ads that attempt to influence the way the readers think. You will use precise language to write statements about what the ads are trying to convey and then use what you learn in this Superlesson to rewrite these statements in several different forms.
Part A, Conditional Statements
1. A Clio is the advertising industry's award for excellence. Browse through some of the advertisements that have won a Clio.
a. Look at the advertisement for the Valleyfair Amusement Park. Write an "if-then" statement that describes what the ad is trying to convey.
b. Look at the advertisement for Detangler. Write an "if-then" statement that describes what the ads are trying to convey.
c. Look at the advertisement for Mints. Write an "if-then" statement that describes what the ad is trying to convey.
Part B, Related Conditional Statements
2. Pick one of the conditional statements you wrote in question 1 and write:
a. the converse of your statement.
b. the inverse of your statement.
c. the contrapositive of your statement.
3. If your original statement was true, which of the statements that you wrote in question 2 is (are) true?
Part C, The Rules of Logic
3. Look at the Anti-smoking advertisement.
a.Write two conditional statements implied by the anti-smoking ad in which the conclusion of one statement is used as the hypothesis of the other.
b. Apply the chain rule to write a third conditional statement using the two statements you wrote in a.
c. If the two original statements in a are true, is the statement you wrote in b necessarily true? Explain.