The following activity sheets will teach your students how to use various truth value operations.

#### What Are Logic Truth Values? We live in a world where logic is everything. You cannot solve even a simple addition problem without logic behind it. However, when you are learning about the truth value of any scenario, you need to keep one major thing in your mind. The answer will be either true or false. There is no in between, and there is no such thing as no answer or both answers. A statement in logic is usually built around statements using logic connectives. Thus, the truth/false answer of any statement depends on these connectives. After you've learned the concepts of logic truth values, you'll start to perform operations by using the truth tables.

Over the course of our logic worksheet collection we have covered disjunction, conditionals, and biconditionals by themselves. These worksheets also work on the AND and Or conditional statements. The major theme here is to provide you with a series of logic review lessons and worksheets. We also introduce the concept of open sentences. An open sentence just means that an unknown variable is present in the sentence and we do not clearly know the truth value because of that missing value. Your students will use the following worksheets to learn about various truth values. Activities include disjunctions, conditionals, and biconditionals, negations, conjunctions, determining the truth value of open sentences, truth tables, and more.

# Truth Values Worksheets

## Disjunction, Conditional, and Bi-conditional Lesson and Practice

Students will practice working with disjunctions, conditionals, and bi-conditionals. A sample problem is solved and two practice problems are provided.

## Worksheet

Example problem: What is the truth value of the statement "Horses bark and cows moo."?

## Practice

This worksheet tries to put it all together for you. Example: If the given sentence is true. "13 is odd and 2 + 4 = ____." Which number could be used to fill the blank?

## Review and Practice

This worksheet reviews how to work with disjunctions, conditionals, and bi-conditionals. Exercise example: What is the truth value of the statement "14 is odd and 18 is odd."?

## Quiz

Students demonstrate their proficiency describing the truth value of statements that include disjunctions, conditionals, and bi-conditionals. Ten problems are provided.

## Topic Check

What is the truth value of the sentence "Triangle has three sides or all squares are triangle."?

## Negation and Conjunction Lesson and Practice

Students will work with negation in the (NOT) form and conjunction in the (AND) form. A sample problem is solved and two practice problems are provided.

## Worksheet

Students will decipher the truth values of statements that include a form of negation (NOT) or conjunction (AND). Ten problems are provided.

## Practice

Students will work with numeric, geometric, and basic logic statements.

## Review and Practice

This worksheet reviews the skills that we have focused on with this topic. You will need to be sharp.

## Quiz

Students demonstrate their proficiency working on this skill. Ten problems are provided.

## Check

See how well you can do with these problems when we throw in some extra negation. Three problems are provided, and space is included for students to copy the correct answer when given.

## Truth Value of Open Sentences Lesson and Practice

Determine whether the following sentences are TRUE, FALSE, or OPEN.

## Worksheet

Open sentences have a variable present once you determine that you can understand how far you can take them.

## Practice

Is this an open sentence? It is formed when a square paper is rolled along its width.

## Review and Practice

This worksheet reviews understanding the truth value of open sentences. A sample problem is solved and six practice problems are provided.

## Quiz

Students demonstrate their proficiency with this skill. Ten problems are provided.

## Topic Check

Students will solve problems as review or for the first time. Three problems are provided, and space is included for students to copy the correct answer when given.

## Completing Truth Tables Lesson and Practice

Students will review the concept by solving the problem: Complete the Truth Table for: C ^ D.

## Worksheet

Students will complete full out truth tables. Ten problems are provided.

## Practice

Where do you need to fill these things in at?

## Review and Practice Page 1

This worksheet reviews how to work with truth tables. A sample problem is solved.

## Review and Practice Page 2

This worksheet reviews how to work with truth tables. Six practice problems are provided.

## Quiz

Students demonstrate their ability with these problems. Ten problems are provided.

## Skills Check

Finish these exercises off as a whole class. Three problems are provided, and space is included for students to copy the correct answer when given.

## Truth Values Lesson and Practice

Students will review and practice determining the truth value (and, or, implies, if and only if) of a statement. A sample problem is solved and two practice problems are provided.

## Worksheet

Students will determine the truth of a wide variety of math related questions. Ten problems are provided.

## Practice

Break apart statements to determine their level of truth. Ten problems are provided.

## Review and Practice

This worksheet reviews how to determine the truth value (and, or, implies, if and only if) of a statement. A sample problem is solved and six practice problems are provided.

## Quiz

Students will see how well they have taken in the knowledge that we have shared with them.

## Check

What is the truth value of the statement: "If grey is a color, then brown is color"?

## Truth Values of Compound Sentences Lesson and Practice

Determine the truth value of the statement: "12 + 8 = 20 and 6 is a even number."

## Worksheet

Given compound sentences, students will determine the truth value. Ten problems are provided.

## Practice

We go after the logic behind compound sentences. Ten problems are provided.

## Review and Practice

This worksheet reviews the skills we have been examining. Here is a sample for you: Let P represent "A quadrilateral has four sides." and Q represent "A quadrilateral has four equal angles." What is the truth value of P and Q when quadrilateral is square?

## Quiz

Students demonstrate their ability with this skill. Ten problems are provided.

## Check

This worksheet is great to use as a review or introductory segment in your classes. Three problems are provided, and space is included for students to copy the correct answer when given.