Unit 2 Day 2 Deductive Reasoning

Inductive Reasoning means...

• Guessing

• Using patterns to make conjectures

• Explaining why

• Using facts to make generalizations

Tags

CCSS.HSS.CP.A.5

You notice Mr. Ghiorse seems to have coffee each time class is during first block.

Class is meeting first block today, so you conclude he will have a coffee.

What type of reasoning is this?

• Deductive

• Inductive

Tags

CCSS.L.1.1D

CCSS.L.3.1A

If you have Geometry class, then it is not the weekend.

You have Geometry class today and conclude it is neither Saturday nor Sunday.

What type of reasoning is this?

• Inductive

• Deductive

Tags

CCSS.L.4.1C

CCSS.L.9-10.1B

Draw a conclusion from the given information below.

If you live in Orlando, then you live in Florida.

Maggie lives in Orlando.

• Maggie lives in Disney World

• Maggie is an old person

• Maggie lives in Florida

• No valid conclusion can be drawn

Tags

CCSS.RI.11-12.2

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Given:

If it is Monday, then Garfield is grumpy.

If it is Monday, then John will feed Garfield lasagna.

What can you conclude?

• No conclusion can be made

• If Garfield is grumpy, then John will feed Garfield lasagna.

• If Garfield is grumpy, then it is Monday.

• If John feeds Garfield lasagna, then it is Monday.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Given:

If a figure is a square, then it is a rectangle.

If a figure is a rectangle, then it has 4 right angles.

What can you conclude?

• If a figure has 4 right angles, then it is a square.

• If a figure is a square, then it has 4 right angles.

• No conclusion can be made

• If a figure is a rectangle, then it is a square with 4 right angles.

Tags

CCSS.HSG.CO.C.11

Given:

If a car is out of gas, then it will not start.

Sam's car will not start.

What conclusion can be drawn?

• Sam's car is out of gas

• No conclusion can be made

• Sam's car has a dead battery

Tags

CCSS.RI.11-12.2

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Given:

If it is snowing, then it is cold outside.

If it is cold outside, then I will wear a jacket.

What conclusion can be made?

• If it is snowing, then I will wear a jacket.

• If I am wearing a jacket, then it is snowing.

• If I am wearing a jacket, then it is cold outside.

• If it is cold outside, then it is snowing.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Is the following conclusion valid or invalid?

Given: If two angles are right angles, then the angles are congruent.
 $\angle A$  and $\angle B$  are congruent

Conclusion: 

 $\angle A$  and  $\angle B$   are right angles

• Valid by Direct Reasoning

• Invalid - not the form of Direct Reasoning

Tags

CCSS.7.G.B.5

Is the following conclusion valid or invalid?

Given: If you stay up late, then you will be tired.
You stayed up late watching football. 

Conclusion: You will be tired. 

• Valid by Direct Reasoning

• Invalid - not the form of Direct Reasoning

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1