## Negation and Conjunction In Logic Statements

#### Aligned To Common Core Standard:

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

What are Negation and Conjunction in Logic Statements? If you wish to analyze the validity of statements known as propositions, you can use the truth table. The truth table utilizes different operators such as "OR" or "AND" and to combine them. In other words, for any statement, the answer would be either completely true or false. Now, there are two operators which we will discuss today. The first is negation, which means "not" of something. In easier terms, it means that whatever answer you get, negation will give it negative. For instance, if there is a proposition, "I ate an apple," the negation will make it, "I did not eat an apple." The second is conjunction means "And" in easier terms. For instance, if you have an example that "Bring me a pen and paper." Now in this statement, you need to bring both pen and paper to do the job. If we look at it objectively, you cannot write anything with just a pen and you can't do anything with paper. These worksheets will teach students how to evaluate a logic statement that includes a conjunction or negation.

### Printable Worksheets And Lessons

- The Sun Step-by-Step Lesson- This can be debated by people with solid astronomy backgrounds, but for high school kids; it fits the part.
- Guided Lesson - I definitely go all Triangle Ninja on you here.
- Guided Lesson Explanation - I tried to give you detailed strategies to start with and let you take it from there.
- Practice Worksheet - Again, I throw a lot of geometry your way. This actually helps extend this set to other standards in geometry.
- Matching Worksheet - Logic wrapped in an organizational system again. Don't get lost.
- Negation - NOT & Conjunctions Worksheet Five Pack - See how your "ands" and "nots" stack up in these sentences.

#### Homework Sheets

Hope you know your animal sounds, directions, and fruits.

- Homework 1 - Negations always have the exact opposite truth value of the original statement.
- Homework 2 - Under negation, TRUE becomes FALSE - or - FALSE becomes TRUE. Negations are usually formed by placing the word "not" in the sentence.
- Homework 3 - So the negation of the given sentence could proceed in a number of ways.

#### Practice Worksheets

These are all geometry based. We put the animal sounds on hold.

- Practice 1 - What is the truth value of the negations of these statements?
- Practice 2 - The angles in the triangle add up to 180°.
- Practice 3 - The sentence we are given is true. Our negation should have the opposite value (false).

#### Math Skill Quizzes

We haven't seen this topic appear on a national exam, but here is what we would think it would look like.