Inductive and deductive reasoning.

What are the next two terms in the​ sequence?

2, 10, 18, 26, ...

• 34, 42

• 33, 41

• 35, 43

Tags

CCSS.HSF.BF.A.2

Find a pattern for the sequence. Use the pattern to show the next two terms.

Washington, Adams, Jefferson, ...

• Adams, Jackson

• Monroe, Madison

• Jackson, Van Buren

• Madison, Monroe

Tags

CCSS.RF.3.3B

CCSS.RF.3.3C

CCSS.RF.3.3D

CCSS.RF.4.3A

CCSS.RF.5.3A

Identify the hypothesis and conclusion of the conditional.

If you are an American citizen, then you have the right to vote.

• Hypothesis: You do not have the right to vote

  Conclusion: You are not an American citizen

• Hypothesis: You have the right to vote.

  Conclusion: You are an American citizen

• Hypothesis: You are an American citizen

  Conclusion: You have the right to vote

• Hypothesis: You are not an American citizen

  Conclusion: You have the right to vote.

Write the sentence as a conditional.
 $8x\ -\ 7=\ 9\ implies\ that\ 8x\ =\ 16$  

• If  $8x-7=9,\ then\ x\ =2$  

•  $If\ 8x-7=9,\ then\ 8x=16.$  

•  $If\ 8x=16,\ then\ x=2$  

•  $If\ 8x=16,\ then\ 8x-7=9$  

Write a conditional statement that the Venn diagram to the right illustrates.

• If an object is a grain, then the object is wheat.

• If an object is wheat, then the object is not grain

• If an object is wheat, then the object is a grain

• If an object is a grain, then the object is not wheat.

Tags

CCSS.RI.11-12.7

CCSS.RI.8.7

CCSS.RI.9-10.7

CCSS.RL.11-12.7

CCSS.RL.9-10.7

Determine if the conditional is true or false. If it is​ false, find a counterexample.

"If an angle is acute, then it measures 80 degrees".

• The conditional is false, an angle that measures 75 degrees is also acute

• The conditional is true.

• The conditional is false. An angle can be added to the 80-degrees angle to make it not acute.

• The conditional is false. Angle that measures 120 degrees is also acute.

Write the converse and inverse of the statement below. Determine the truth value of each. If false give a counter example.

" If I am in San Diego, then I am in the West".

• Converse: If I am in the West, then I am in San Diego.

  False: I can be in Seattle and still be in the West.

  Inverse: If I am not in San Diego, then I am not in the West.

  False: I can be in Seattle and still be in the West.

• Converse: If I am not in San Diego, then I am not in the West.

  True:

  Inverse: If I am in San Diego, then I am not in the West.

  False: I can be in San Diego and not be in the West.

• Converse: If I am in the West, then I am not in San Diego

  True.

  Inverse: If I am in the West, then I am in San Diego.

  True.

Draw a Venn Diagram to illustrate the statement.

" If you are the president of your club, then you are a sophomore or junior".

• 
• 
• 

Write the statement as a biconditional.

" Points in Quadrant I have two positive coordinates".

• A point is in Quadrant I if and only if it has two positive coordinates.

• If a point is in Quadrant 1, then the point has two positive coordinates

• If a point has two positive coordinates, then it is in Quadrant 1

• A point is in Quadrant 1 if and only if it has two negative coordinates

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Write the two statements that form the biconditional.

"You live in Washington, D.C. if and only if you live in the capital of the united States."

• You live in the capital of the United States.

  You live in Washington, D.C

• If you live in Washington, D.C then you live in the capital of the United States.

  If you live in the capital of the United States, then you live in Washington, D.C

• You live in the capital of the United States if and only if you live in Washington, D.C.

  You live in Washington, D.C if and only if you live in the capital of the United States.