About This Chapter
Ohio EOCE Geometry: Logic in Mathematics - Chapter Summary
The Ohio End of Course Exam (EOCE) on Geometry may contain some questions that will test your understanding of logic in mathematics. When preparing for these questions, you will find this chapter's lessons to be extremely helpful. Each lesson will teach you about a different subtopic that you might need to know when taking the actual exam, such as:
- Critical thinking in mathematics
- Logical fallacies
- Propositions, truth values and truth tables
- Conjunctions and disjunctions in math
- Conditional statements
- Logical equivalence
When you have finished all of the lessons, you can test your understanding of the topics by taking the practice quizzes also included in the chapter. If you can do well on our practice quizzes, you'll have a much better chance of acing this part of the EOCE!
1. Critical Thinking and Logic in Mathematics
Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.
2. Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
Watch this video lesson to see how you can identify cases where logic is not sound. Learn the characteristic traits of hasty generalization, circular reasoning, false cause, and limited choice.
3. Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
Watch this video lesson to see examples of the logical fallacies of appeals to ignorance, emotion, and popularity. You will also see how to identify them.
4. Propositions, Truth Values and Truth Tables
Watch this video lesson and learn what truth values are and what a truth table looks like. Learn how to go from a proposition to its negation and how that affects the truth values and the truth tables.
5. Logical Math Connectors: Conjunctions and Disjunctions
Watch this video lesson to learn how to identify conjunctions and disjunctions. Also learn the connectors that are used with each. Learn how you can use them to make statements.
6. Conditional Statements in Math
Sometimes, what is true in the mathematical world of logic is false in the real world. Check out this lesson to learn how to identify conditional statements and how you can differentiate between what is logically true and what is true in reality.
7. Logic Laws: Converse, Inverse, Contrapositive & Counterexample
Logical statements can be useful, but only if we are able to determine their validity. In this lesson, we'll look at the various forms of a logical statement and see how they relate to each other.
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Other chapters within the Ohio End of Course Exam - Geometry: Test Prep & Practice course
- Ohio EOCE - Geometry: Foundations
- Ohio EOCE - Geometry: Lines & Angles
- Ohio EOCE - Geometry: Rotations
- Ohio EOCE - Geometry: Congruence
- Ohio EOCE - Geometry: Properties of Triangles
- Ohio EOCE - Geometry: Theorems & Proofs
- Ohio EOCE - Geometry: Parallel Lines & Polygons
- Ohio EOCE - Geometry: Similar Shapes
- Ohio EOCE - Geometry: Introduction to Trigonometry
- Ohio EOCE - Geometry: Circular Arcs & Circles
- Ohio EOCE - Geometry: Geometric Properties with Equations
- Ohio EOCE - Geometry: Quadrilaterals
- Ohio EOCE - Geometry: Geometric Solids
- Ohio EOCE - Geometry: Analytical Geometry
- Ohio EOCE - Geometry: 3D Shapes
- Ohio EOCE - Geometry: Modeling
- Ohio End of Course Exam - Geometry Flashcards