BICONDITIONALS

What is a biconditional? Symbolically: (p →q) ^ (q →p) Symbolically: (p →q) ^ (q →p) The biconditional is the conjunction of a conditional and its converse. The biconditional is the conjunction of a conditional and its converse. p↔q : “p if and only if q” p↔q : “p if and only if q”

Here’s the important stuff: Any good definition can be written as a biconditional!

Truth Value of Biconditionals Complete the following truth table: pq p →q q →p (p →q) ^(q →p)

So… Biconditionals are true when both simple sentences have the same truth value. Biconditionals are true when both simple sentences have the same truth value. T ↔T results in a TRUE statement. T ↔T results in a TRUE statement. F↔F results in a TRUE statement. F↔F results in a TRUE statement.

Assess the statement. A candy is an M&M if and only if it melts in your mouth and not in your hand. A candy is an M&M if and only if it melts in your mouth and not in your hand. Is this a true statement? Is this a true statement? Is this slogan a good definition for an M&M? Is this slogan a good definition for an M&M?

Your assignment. 1. Use the internet to help you find 3 slogans of products that can be something tested by high school students. (candy, appliances, paper towels…) 2. Write each of the three slogans in biconditional form.

Your assignment: 2. Come in tomorrow with your slogans. 3. Your group will choose 1 slogan to work with. Determine whether or not the slogan is a good description of the product.

Your assignment 4. Your group’s task is to create a slogan that is a true reflection (by the standards of a biconditional statement.) of that product. This is due on Thursday September 22 nd.

5. By Monday, September 26 th, your group must be able to present your new advertising campaign for the chosen product. It may take the following forms: It may take the following forms: *1 – 1.5 minute commercial *1 – 1.5 minute commercial * 5 minute sales pitch with a * 5 minute sales pitch with a “billboard” ad (on posterboard) “billboard” ad (on posterboard) * A print campaign with a magazine * A print campaign with a magazine advertisement (8.5 x 11) and a advertisement (8.5 x 11) and a billboard ad (posterboard). billboard ad (posterboard).

How will this be graded? On Wednesday September 21 st, you will receive a rubric (a grading check sheet) that will describe in detail how this assignment will be graded. On Wednesday September 21 st, you will receive a rubric (a grading check sheet) that will describe in detail how this assignment will be graded.

When will we be able to work on this? You will have the next two class days to work as a group on developing your new slogan, as well as planning out your new Advertising Campaign. You will have the next two class days to work as a group on developing your new slogan, as well as planning out your new Advertising Campaign. You may also work with each other after school, over the weekend in person or by using some kind of technology chat like Skype. You may also work with each other after school, over the weekend in person or by using some kind of technology chat like Skype.