Patterns and Inductive Reasoning
The next two terms in the sequence of 1,3,5,8,11,15,19,24, ______, _______
What is 29, 35
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
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
Make a conclusion if possible...state which law was used
If cats prowl, mice will scatter. Mice are scattering
What is cannot conclude, mice could be scattering for another reason.
What property justifies the statement AB is congruent to AB
What is Reflexive Property of Congruency
The next term in the sequence of
1/2, 2/6,3/18,4/54, ____
What is 5/162
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
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
Make a conclusion if possible.
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
Solve the equation 2y + 1 = 5. Write a justification for each step.
What is see teacher
A counter example for the following statement:
The sum of two integers is always positive.
What is -13 + 2
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.
What does iff stand for:
What is if and only if
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
Identify the property that justifies the statement
m<1=m<2, and m<2=m<3. So m<1=m<3
What is transitive property of equality
Double Jeopardy.......
Find the sum of the first 10 consecutive whole numbers....
What is 55
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.
Explain whether the following definition is a good definition
Opposite rays are two rays that share the same endpoint
What is not a biconditional...converse is true but converse is not.
Double Jeopardy...Is the following valid by Law of Syllogism
Given: If a number is divisible by 4, then it is divisible by 2. If a number is even, then it is divisible by 2.
Conjecture: If a number is divisible by 4, then it is even.
What is not valid
The equation C=$5.75 + $0.89m relates the number of movie rentals m to the monthly cost C of a movie club membership. How many movies did Elias rent this month if his membership cost $11.98? Solve the equation for m and justify each step.
What is see teacher
Provide a counterexample for:
All states in the United States share a border with another state.
What is Hawaii or Alaska?
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
Determine if the biconditional is true...If not find a counterexample:
A triangle is a right triangle iff it has two acute angles.
What is false, two angles can be acute and the third angle may not be 90 degrees
Draw a conclusion from the given information.
Given: If a team play in the finals, then they won 10 games. If a team travels to Boston, then they play in the finals. The Ravens won 10 games.
What is the Ravens will travel to Boston.
double jeopardy see page 107 #11
What is 1) segment add. post.
2) substitution (1)
3) subt. prop. of =
4) add prop of =
5) div. prop of =