## Disjunction, Conditionals and Biconditionals

#### Aligned To Common Core Standard:

**High School Geometry** - HSG-MG.A.3

In Logic What Are Disjunctions, Conditionals, and Biconditionals? Discrete mathematics is an area that is a large part of present mathematics. Given that present computation consists of a logic building that includes discreet mathematics. However, there are different logical operators that you must learn beforehand.
**Disjunctions** - Disjunctions are known as the ORing between two sentences. For instance, we can write a sentence with the disjunction operator as Sentence 1 OR Sentence 2 or Sentence 1 ν Sentence 2. The disjunction between two sentences means that if there is even a single true between the operands, then the answer is true.
**Conditionals** - Conditionals, as the name suggests, can only be resolved if it justifies any condition. For instance, if Sentence 1 --> , Sentence 2, then sentence two is dependent on sentence 1. In the language, you can say that "if you are on time, then you are not late." It means that if the first clause is true, then the second clause is also true.
With these worksheets students learn how to interpret logic statements that include forms or statements that are biconditionals, conditionals, and disjunctions.

### Printable Worksheets And Lessons

- Animal Noises Step-by-Step Lesson- These really lend themselves to the analogies we saw on the SAT exam. Those were not my favorite, even as an educated adult; I have trouble with those.
- Guided Lesson - You need to know just a little geography here for this one.
- Guided Lesson Explanation - I start by pin pointing the logic behind the problem and then go into how to attack each strategy.
- Practice Worksheet - Sorry, some of these are bit out there! I was taking cough medicine that day; that's my excuse.
- Matching Worksheet - This is logic, within logic. It definitely tests reading skills and organization.
- Disjunction, Conditional and Biconditional Worksheet Five Pack - This a mix of the disciplines, almost like a review of sorts.

#### Homework Sheets

I was going to have a homework that just labeled the form of logic at work, but felt it served little purpose.

- Homework 1 - As we know: Bears do growl; so the statement is true (T). Koalas do not baa; so that statement is false (F).
- Homework 2 - Since the first fact is true and the another fact is also true, the entire sentence is true. So, the answer is true.
- Homework 3 - Since the first fact is false and the second fact is also true, the entire sentence is false.

#### Practice Worksheets

These logic problems expect that you have paid attention in Social Studies class.

- Practice 1 - Cancer is a disease or deer voice is bell.
- Practice 2 - If rose is a flower, then 3 + 3 = 9
- Practice 3 - A 3-sided polygon is triangle if and only if 5 + 3 = 7.

#### Math Skill Quizzes

Do you know the sound that a bat makes?