About This Chapter
Who's it for?
Anyone who needs help learning or mastering geometry material will benefit from taking this course. There is no faster or easier way to learn geometry. Among those who would benefit are:
- Students who have fallen behind in understanding critical thinking, conditional statements, or working with other types of logic related to mathematics
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about logic in mathematics for the NY Regents Exam
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How it works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the logic in mathematics chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the logic in mathematics chapter exam to be prepared for the NY Regents Exam.
- Get Extra Support: Ask our subject-matter experts any logic in mathematics question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
This chapter helps students review the concepts in a logic in mathematics unit of a standard high school geometry course. Topics covered include:
- Critical thinking and logic in mathematics
- Logical fallacies
- Truth values, truth tables and propositions
- Logical math connectors
- Conditional statements
- Logical equivalence
- Geometric proofs
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.
8. Direct Proofs: Definition and Applications
In math, we can't explain that something is true just because. That's not enough. In this lesson, we'll learn to prove things using one of our most straightforward tools, the direct proof.
9. Geometric Proofs: Definition and Format
Do you have something to prove? Can you explain why? In this lesson, we'll learn all about geometric proofs, including the parts that comprise a proof.
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Other chapters within the NY Regents Exam - Geometry: Help and Review course
- NY Regents - Foundations of Geometry: Help and Review
- NY Regents - Introduction to Geometric Figures: Help and Review
- NY Regents - Similar Polygons: Help and Review
- NY Regents - Quadrilaterals: Help and Review
- NY Regents - Circular Arcs and Circles: Help and Review
- NY Regents - Analytical Geometry: Help and Review
- NY Regents - Triangles and Congruency: Help and Review
- NY Regents - Parallel Lines and Polygons: Help and Review
- NY Regents - Geometric Solids: Help and Review