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

Truth Table Expert: Conditional statements can be written using symbolic notation, where letters are used to represent statements. The truth value of a statement is either true (T) or false (F). You can determine the conditions under which a conditional statement is true by using a truth table. A conditional statement and its contrapositive are equivalent statements because they have the same truth table. The same is true of the converse and the inverse. Your job will be to research, analyze and create truth tables.

## 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)

- Symbolic Notation and Truth Tables p. 94-95
- - Take notes on the Key Concept p. 94, on Symbolic Notation label and copy the truth table on page 95 on the page left of page 2.
- Create a hypothesis (p) and conclusion (q), then use your p and q to complete #2-5
- Complete p. 95 #8

## Step 2: Plan (If you fail to plan, then you plan to fail. Be a CONQUEROR.)

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

GOALS for the iSPY focus team: (Keep in mind that you want to keep some information to yourself. You don't want the other groups to get your next job.)

Individually, write in your iSPY notebooks:

List the information do you need in order to create a truth table.

GOALS for the iSPY focus team: (Keep in mind that you want to keep some information to yourself. You don't want the other groups to get your next job.)

Individually, write in your iSPY notebooks:

List the information do you need in order to create a truth table.

## 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.

Complete the following Problem sets: 1, 3, and 4. They are not numbered, so we have to use our detective minds and figure out the numbering. If you do not understand something, look back into the previous excerpt to help you understand the answer. Jot down notes in your iSPY notebook.

Logic Statements: http://www.sparknotes.com/math/geometry3/logicstatements/

Make sure that the information that what you write down will be useful for your group.

Time to Utilize Videos and the Truth Constructor

Complete the following Problem sets: 1, 3, and 4. They are not numbered, so we have to use our detective minds and figure out the numbering. If you do not understand something, look back into the previous excerpt to help you understand the answer. Jot down notes in your iSPY notebook.

Logic Statements: http://www.sparknotes.com/math/geometry3/logicstatements/

Make sure that the information that what you write down will be useful for your group.

Time to Utilize Videos and the Truth Constructor

- Write a conditional statement, converse, inverse, and contrapositive statement dealing with your information.
- When finished, Watch the three videos below to Understand Truth Tables. Copy the Truth Tables in the video and take notes.
- Can use the Truth Table Constructor link below to help create a Truth Table of one of your sentences.

- Truth Table Constructor: http://www.brian-borowski.com/Software/Truth/
- Hint: Use your variables, p and q. To make the implies sign, input: ->. To put the not sign, input: ~.

## Step 4: Information Organization

In your iSPY notebook.

Create 3 valid if-then statements from your graphic organizers, writing the inverse, converse and contrapositive of the one which you deem the best.

Create 3 valid if-then statements from your graphic organizers, writing the inverse, converse and contrapositive of the one which you deem the best.

## Step 5: Prepare for Work with Home Team

Prepare the information you will take back to your team. Make sure you have:

- iSPY notebooks
- logic notes
- Hypothesis and Conclusion Flow Chart
- Your 3 unique valid if-then statements

## Resources

_Truth Table Constructor: http://www.brian-borowski.com/Software/Truth/

Logical Operations and Truth Tables: http://www.ucblueash.edu/koehler/comath/21.html

Spark Notes: http://www.sparknotes.com/math/geometry3/logicstatements/

Logical Operations and Truth Tables: http://www.ucblueash.edu/koehler/comath/21.html

Spark Notes: http://www.sparknotes.com/math/geometry3/logicstatements/