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Before class collect magazines and/or newspapers that have advertisements of major companies that may help students come up with slogans the companies use.
Discuss terms hypothesis, conclusion, conditional, converse, inverse, contrapositive, and biconditional.
Give them the following example
Conditional hypothesis-(
conclusion-(If my bologna has a first name
then its OSCARConverse hypothesis-(
conclusion-(If it is OSCAR
then my bologna has a first nameInverse hypothesis-(
conclusion-(If my bologna does not have a first name
then its not OSCARContrapositive hypothesis-(
conclusion-(If it is not OSCAR
then my bologna does not have a first nameBiconditionalMy bologna has first name if and only if it is OSCAR In groups have students determine the slogan of a major company or product and write a conditional statement. Then have them develop the converse, inverse, contrapostive, and biconditional statements. Also have them determine if the statements are always true. Note: a biconditional statement can only be used if both the conditional and converse are true.
Discuss true and false. To determine false only one counter example has to be furnished. Also discuss that slogans arent necessarily true. Discuss the purpose of slogans.
Groups then develop a company and slogan of their own and go through the same process.
Learning check.
1. If youre shopping at WalMart then you have the lowest prices is WalMarts slogan put into a conditional statement. Based on the conditional statement what type of statement is If youre not shopping at WalMart then you dont have the lowest prices?aConversebInversecContrapositivedBicondtional
2. If youre shopping at WalMart then you have the lowest prices is WalMarts slogan put into a conditional statement. Based on the conditional statement what type of statement is Youre shopping at WalMart if and only if you have the lowest prices?aConversebInversecContrapositivedBicondtional
3. If youre shopping at WalMart then you have the lowest prices is WalMarts slogan put into a conditional statement. Based on the conditional statement what type of statement is If you dont have the lowest prices then youre not shopping at WalMart?aConversebInversecContrapositivedBicondtional
4. If youre shopping at WalMart then you have the lowest prices is WalMarts slogan put into a conditional statement. Based on the conditional statement what type of statement is If you have the lowest prices then you are shopping at WalMart?aConversebInversecContrapositivedBicondtional
5. If youre shopping at WalMart then you have the lowest prices is WalMarts slogan put into a conditional statement. Which is the hypothesis?aIf youre shopping at WalMartbthen you have the lowest prices
6. If youre shopping at WalMart then you have the lowest prices is WalMarts slogan put into a conditional statement. Which is the conclusion?aIf youre shopping at WalMartbthen you have the lowest prices
Learning check with math example.
1. If a triangle has at least two congruent angles then it is an isosceles triangle is a conditional statement. Based on the conditional statement what type of statement is If a triangle does not have at least two congruent angles then it is not an isosceles triangle?aConversebInversecContrapositivedBicondtional
2. If a triangle has at least two congruent angles then it is an isosceles triangle is a conditional statement. Based on the conditional statement what type of statement is A triangle has at least two congruent angles if and only if it is isosceles?aConversebInversecContrapositivedBicondtional
3. If a triangle has at least two congruent angles then it is an isosceles triangle is a conditional statement. Based on the conditional statement what type of statement is If a triangle is not isosceles then it does not have at least two congruent angles?aConversebInversecContrapositivedBicondtional
4. If a triangle has at least two congruent angles then it is an isosceles triangle is a conditional statement. Based on the conditional statement what type of statement is If a triangle is isosceles then it has at least two congruent angles?aConversebInversecContrapositivedBicondtional
5. If a triangle has at least two congruent angles then it is an isosceles triangle is a conditional statement. Which is the hypothesis?aIf a triangle has at least two congruent anglesbthen it is an isosceles triangle
6. If a triangle has at least two congruent angles then it is an isosceles triangle is a conditional statement. Which is the conclusion?aIf a triangle has at least two congruent anglesbthen it is an isosceles triangle
Answers to both sets of questions
1. b
2. d
3. c
4. a
5. a
6. b
9. Analyze the responses to determine understanding. Discuss future proofs with examples of hypothesis and conclusion. Stress taking one step at a time.
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