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Jeopardy. Reasoning. Compound Statements. True/False?. Conditional Statements. Misc. $100. $100. $100. $100. $100. $200. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $400. $400. $400. $500. $500. $500. $500. $500. Final Jeopardy.
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Jeopardy Reasoning Compound Statements True/False? Conditional Statements Misc. $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy
$100 Question from “Reasoning” What is the next two items in the following sequence: 100%, 93%, 86%.....
$100 Answer from “Reasoning” Each time you decrease by 7% So.. 100%, 93%, 86%..... Leads to 79%, 72%
$200 Question from “Reasoning” Make a conjecture about the following statement: The product of two negative numbers.
$200 Answer from “Reasoning” The product of two negative numbers is a positive number.
$300 Question from “Reasoning” Find a counterexample to show the conjecture is false: If <A and <B are complementary angles, then they share a common side.
$300 Answer from “Reasoning” A= 38° B=52°
$400 Question from “Reasoning” Determine a counterexample If <2 and <3 are supplementary angles, then they are a linear pair.
$500 Question from “Reasoning” Carrie collected canned food for a homeless shelter each day for a week. On day one, she collected 7 cans of food. On day two, she collected 8 cans. On day three, she collected 10 cans. On day four, she collected 13 cans. If Carried wanted to give 100 cans of food to the shelter and the pattern of can collecting continued, did she meet her goal?
$500 Answer from “Reasoning” Day One: 7 Day Two: 8 Day Three: 10 Day Four: 13 Day Five: 17 Day Six: 22 Day Seven: 28 7+8+10+13+17+22+28=105 Yes. She did meet her goal because she collected 105 cans.
$100 Question from“Compound Statements” Disjunction or Conjunction? Ms. Stonebraker is a girl and she is a math teacher.
$100 Answer from“Compound Statements” The statement has the connecting word “and” so it is a conjunction.
$200 Question from“Compound Statements” Write an example of a disjunction compound statement
$200 Answer from“Compound Statements” Ms. Stonebraker teaches math or science
$300 Question from “Compound Statements” p= It is October q= It is a Tuesday In words, what is Bonus $100: What is the truth value of the compound statement?
$300 Answer from “Compound Statements” It is October and it is not a Tuesday TRUE statement.
$400 Question from “Compound Statements” p= Springfield is the capital of Illinois q= Illinois borders the Atlantic Ocean What is pVq in words?
$400 Answer from“Compound Statements” Springfield is the capital of Illinois OR Illinois borders the Atlantic Ocean.
$500 Question from“Compound Statements” • The Venn Diagram shows the distribution of 9th graders taking Foreign Language. • How many students take French OR Spanish? • How many students take French AND Spanish?
$500 Answer from“Compound Statements” 1) 89+15+3= 107 students 2) 15 students
$100 Question from “True/False” True or False: Ms. Stonebraker is a math teacher or she is a science teacher.
$100 Answer from “True/False” True. Ms. Stonebraker is a math teacher.
$200 Question from “True/False” True or False? Ms. Stonebraker is a math teacher and Ms. Stonebraker is a science teacher.
$200 Answer from “True/False” False. Ms. Stonebraker doesn’t teach science.
$300 Question from “True/False” Complete the truth table
$400 Question from “True/False” Complete the Truth Table
$500 Question from “True/False” Complete the truth table
$100 Question from “Conditional Statements” What is the hypothesis/conclusion in the following conditional statement: If the forecast is rain, then I will take an umbrella.
$100 Answer from “Conditional Statements” Hypothesis: The forecast is rain Conclusion: I will take an umbrella
$200 Question from“Conditional Statements” A mammal is a warm blooded animal. Write the following as a conditional statement
$200 Answer from“Conditional Statements” If an animal is a mammal, then it is warm blooded.
$300 Question from“Conditional Statements” What is the inverse and converse of the following statement? If an animal is a lion, then it is a cat. **Bonus $200: Tell me the truth values of the converse/inverse. If you claim false, provide a counterexample.
$300 Answer from“Conditional Statements” Inverse: If an animal is not a lion, then it is not a cat. *False: Tiger/Housecat. Converse: If an animal is a cat, then it is a lion. *False: Tiger/Housecat
$400 Question from“Conditional Statements” Conditional Statement: If m<A = 90 degrees, then <A is right. Billy claims if <A is not a right angle, then m<A is not 90 degrees. What related conditional is he claiming?
$400 Answer from“Conditional Statements” Contrapositive
$500 Question from“Conditional Statements” True or False: The converse of a true statement is always true. If you claim false, provide a counterexample
$500 Answer from“Conditional Statements” False: Conditional: If m<A=65 degrees, then it is an acute angle Converse: If <A is acute, then m<A = 65 degrees. False= m<A could be 55 degrees
$100 Question from “Misc.” True or False? If False, provide a counterexample. If x^2= 16, then x = 4.
$100 Answer from “Misc.” False, x could be equal to -4.
$200 Question from “Misc.” Inductive or Deductive reasoning? To go to prom, school policy requires a student to have a GPA of at least 3.0. Billy has a current GPA of 3.4. Therefore he concludes that he can go to prom.
$200 Answer from “Misc.” Deductive– based on facts of school policy
$300 Question from “Misc.” Inductive or Deductive? Ms. Stonebraker notices her neighbor takes the trash out on Wednesday. Today is Wednesday so she concludes her neighbor will take out his garbage.
$300 Answer from “Misc.” Inductive– based on an observed pattern.
$400 Question from “Misc.” Is the following Valid or not by the law of detachment? Given: If Gabriel skipped lunch, then he is hungry. Gabriel is hungry Conclusion: Gabriel skipped lunch
$400 Answer from “Misc.” Invalid– Gabriel could have eaten lunch but may still be hungry.
$500 Question from “Misc.” By the law of syllogism, what can be concluded from the following two statements? If Ms. Stonebraker skips breakfast, she will be hungry. If Ms. Stonebraker is hungry, her stomach will grumble.
