Show:
Patterns and Inductive Reasoning
Conditional Statements
Biconditionals and Definitions
Law of Syllogism or Detachment
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
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

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
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. If p then q.  Given p.

What is q by law of detachment

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 converse
500
State the requirements for a good definition
What is reversible, clear and precise
500

If Catherine is exceeding the speed limit, then she will get a speeding ticket.  Catherine is driving at 80mi/hr.  If Catherine is driving at 80mi/hr, then she is exceeding the speed limit.

 What is Catherine will get a speeding ticket; both laws?