Patterns and Inductive Reasoning
Conditional Statements
Biconditionals and Definitions
Law of Syllogism or Detachment
Venn Diagrams
100
The next two terms in the sequence of 1,3,5,8,11,15,19,24, ______, _______
What is 29, 35
100

Identify the hypothesis and conclusion of the following conditional statement. If the sidewalks are wet, then it has been raining.

What is the sidewalks are wet and it has been raining

100
Determine whether the following can be written as a biconditional..justify the answer If two line intersect to form adjacent congruent angles, then the lines are perpendicular.
What is the conditional and converse are true therefore it can be written as a biconditional
100
Make a conclusion if possible...state which law was used If cats prowl, mice willscatter. Mice are scattering
What is cannot conclude
100

Venn Diagram #1

Teacher will show it

What is J

200
The next term in the sequence of 1/2, 2/6,3/18,4/54, ____
What is 5/162
200

Determine if the conditional statement is true or false..if false provide a counter example If the figure has four congruent angles, then the figure is a square.

What is a rectangle

200
The biconditional of the following statement is... If a number is a terminating decimal then it contains a finite number of digits.
What is a number is a terminating decimal iff it contains a finite number of digits
200
Make a conclusion if possible, state the law used. To take Calculus, you must first take Algebra II. To take Algebra II, you must first take Algebra I.
What is To take Calculus you must first take Algebra I
200

Venn Diagram #1

Teacher will show it

What is G

300
A counter example for the following statement: The sum of two integers is always positive.
What is -13 + 2
300

Write the converse of the following conditional: If the temperature outside is below freezing, then ice can form on the sidewalks.

What is ..if ice can form on the sidewalks, then the temperature outside is below freezing.

300
What does iff stand for:
What is if and only if...biconditional
300
Make a conclusion if possible, state the law used. If you pass the road test then you will get your driver's license. Samantha passed the road test.
What is Samantha will get her driver's license..law of detachment
300

During lunch at Stone Bridge High School, seventy-one students chose juice and sixty-two students chose milk.  Thirty-two students chose both juice and milk.  Each student chose at least one of these beverages.  How many students ate lunch at the Stone Bridge High School cafeteria?

What is 101 students?

400
Double Jeopardy.......Find the sum of the first 10 consecutive whole numbers....
What is 55
400

Write the contrapositive of the following conditional: If the shoe fits, then you can wear it.

What is if you can't wear it, then the shoe does not fit.

400
Explain whether the following definition is a good definition Opposite rays are two rays that share the same endpoint
What is not reversible
400
Double Jeopardy Make a conclusion if possible, state the law used. Given p to q p
What is q by law of detachment
400

The Webster PAL took a survey asking students in which three sports they would like to participate in a summer program: baseball, soccer or football.  They received the following results:

24 students like baseball only

8 students like football only

6 students like baseball and soccer

4 students like baseball and football

4 students like soccer and football

2 students like all three sports

64 students participated in the survey

How many students chose only soccer?

What is 22 students?

500
Provide a counterexample for: All states in the United States share a border with another state.
What is Hawaii or Alaska?
500

Given the following conditional: If it is snowing then it is cloudy.... The following statement is the converse, inverse, or contrapositive.... If it is not snowing then it is not cloudy.

What is inverse?

500
State the requirements for a good definition
What is reversible, clear and precise
500
The symbolic representation for: p: Todd is mad q: the desk is broken r: it is a bad day Todd is mad and the desk is broken therefore it is a bad day
What is p ^ q (dots) r
500

Venn #5 

Teacher will show

What is 162 students?

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