## iCAME, iSAW, iCONQUERED... with an iPhone4

Deductive Reasoner: Deductive reasoning uses facts, definitions, accepted properties, and the laws of logic to form a logical argument. This is different from inductive reasoning, which uses specific examples and patterns to form a conjecture. The laws of logic include, the law of detachment and the law syllogism. The law of detachment states that 'if the hypothesis of a true conditional statement is true, then the conclusion is also true.' The law of syllogism states that if the two first if-then statements are true then the their conclusion statement is also true. The law of detachment is also called a direct argument. The law of syllogism is sometimes called the chain rule. Your job will be to research the facts and accepted statements of the murder mystery, then apply the laws of logic to make a valid conclusion of who killed Wanda the actuary.

## Step 1: Prepare

Materials needed:

Individually Review in your Detective's Textbook (Geometry Textbook)

- Class Textbook
- iSPY Notebook
- Pen or Pencil
- Who's Who? Information
- 1 iphone4 (laptop computer ^_^)

Individually Review in your Detective's Textbook (Geometry Textbook)

- Key Concept p. 87
- example 1 p. 87
- example 2 pg. 88
- pg. 92-93 #25-29

## Step 2: Plan

Remember that you are a detective. Here you need to get information, without giving yours away.

GOALS for the iSPY focus team:

Individually, write in your iSPY notebooks:

Develop a list of questions, that you need to know in order

to make good conjectures and complete inductive reasoning about the Cabin Fever Murder.

Things and questions to look at when developing your own questions:

GOALS for the iSPY focus team:

Individually, write in your iSPY notebooks:

Develop a list of questions, that you need to know in order

to make good conjectures and complete inductive reasoning about the Cabin Fever Murder.

Things and questions to look at when developing your own questions:

- Who's Who? information
- What is a conjecture?
- What is a counterexample?
- How do you construct a logical argument?
- How does inductive reasoning differ from deductive reasoning?

## Step 3: Gather

Gather the information that your team decided you needed to collect. Use the online resource listed below, as well as your textbook resource.

1. Watch the Video by Anthony Varela, "Deductive Reasoning and the Laws of Logic."What happens if the first statment is not always true? Can you still make a valid conclusion? Does it have to be sound, too?

2. Go through the presentation by Laura Langhoff, "Deductive Reasoning and the Laws of Logic"

- What are the two forms of deductive reasoning??

- Write and label the examples given.

Analyze the Who's Who? information.

Discuss and write down the pertinent information from the descriptions given.

Use the graphic organizer provided: Tree Flow Chart

tree_flow_chart.pub | |

File Size: | 83 kb |

File Type: | pub |

## Step 4: Information Organization

In your iSPY notebook.

Develop 3 valid conclusions using the graphic organizer format. Use at least 1 of both laws, as a group.... and 3 individually.

Remember keep yours to yourself. Get, but do not give your information. Sleuthing can be harder than it seems.

Use the graphic organizer provided: Law of Detachment and Law of Syllogism Flow Charts

Develop 3 valid conclusions using the graphic organizer format. Use at least 1 of both laws, as a group.... and 3 individually.

Remember keep yours to yourself. Get, but do not give your information. Sleuthing can be harder than it seems.

Use the graphic organizer provided: Law of Detachment and Law of Syllogism Flow Charts

lawofdetachmentsyllogism.pub | |

File Size: | 75 kb |

File Type: | pub |

1. Choose your best conjecture based off the facts in "Who's Who?"

2. Rephrase your conjecture

- Make a chart identifying the hypothesis, conclusion, conditional, its converse, inverse, and contrapositive.

- Determine the truth value of each statement and at that to your chart.

- If applicable, write a biconditional statement.

3. Write a conditional statement that can be based on a true statement using the Law of Detachment and the Law of Syllogism.

2. Rephrase your conjecture

- Make a chart identifying the hypothesis, conclusion, conditional, its converse, inverse, and contrapositive.

- Determine the truth value of each statement and at that to your chart.

- If applicable, write a biconditional statement.

3. Write a conditional statement that can be based on a true statement using the Law of Detachment and the Law of Syllogism.

## Step 5: Prepare for Working with Team

Prepare the information you will take back to your team.

Make sure you have:

Make sure you have:

- iSPY notebooks
- inductive reasoning notes
- Tree Flow Chart
- Total of 3 (at least 1 of each flow chart)

- Law of Detachment Flow Chart
- Law of Syllogism Flow Chart