# Negation and Conjunction in Logic Worksheets

This topic delves into the two more complex operators when it comes to making sense in determine the truth value of sets of simple statements. They both will take you some time to get comfortable with. This is the section in the unit where we encourage you to pump the brakes and make sure that you fully understand each step of the thought process. I find that after a good hour with this skill, students get the hang of it. Those first five to ten minutes are a bit overwhelming for them. This is not the type of math that you power through or start to learn after a long day. These worksheets will teach students how to evaluate a logic statement that includes a conjunction or negation.

### Aligned Standard: HSG-MG.A.3

- 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.

- Answer Keys - These are for all the unlocked materials above.

### 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.

- Quiz 1 - A 4-sided flat shape with straight sides that have a pair of opposite sides parallel is called trapezoid.
- Quiz 2 - The vertex of a parabola is the highest or lowest point.
- Quiz 3 - The sun rises in the East.

### 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. Operators can be specified in word form or through the use of a symbol. You can also produce statements that have multiple operators and they become compound expressions.

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. There are many different occasional in math when it is important to determine what the opposite of something is and this operator makes it possible for us to do so. For instance, if there is a proposition, "I ate an apple," the negation will make it, "I did not eat an apple." As we progress on to much more complex logic statements, negation will actually help us add balance to our analysis of them.

The second operator of interest is conjunction. It is delineated by the use of the word "and" in easier terms. This is used in compound statements which requires both simple sentences to be true in order for the overall truth value to be true. 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.

We will use these operators to evaluate a wide range of situations that involve multiple variables. When you are evaluating complex expressions and statements you bet you will be pondering how these operators were implemented. When you are dealing with either of them, I would highly recommend that you a take a short pause and read everything slow. I have been teaching this form of logic for over a decade and I still pause, before answering questions that involve them.