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Ch 21: CAHSEE - Logic: Help and Review

About This Chapter

The Logic chapter of this CAHSEE Math Help and Review course is the simplest way to master logic. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of logic.

Who's it for?

Anyone who needs help learning or mastering CAHSEE math material will benefit from taking this course. There is no faster or easier way to prepare for the CAHSEE math exam. Among those who would benefit are:

  • Students who have fallen behind in understanding logical fallacies or the uses of conditional statements in math
  • 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
  • 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 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 chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any logic 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 unit of a standard high school math course. Topics covered include:

  • Logical equivalence
  • Logical fallacies
  • Propositions, truth values and truth tables
  • Conditional statements in math
  • Conjunctions and disjunctions

9 Lessons in Chapter 21: CAHSEE - Logic: Help and Review
Critical Thinking and Logic in Mathematics

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.

Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice

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.

Logical Fallacies: Appeals to Ignorance, Emotion or Popularity

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.

Propositions, Truth Values and Truth Tables

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.

Logical Math Connectors: Conjunctions and Disjunctions

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.

Conditional Statements in Math

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.

Logic Laws: Converse, Inverse, Contrapositive & Counterexample

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.

Boolean Algebra: Rules, Theorems, Properties & Examples

8. Boolean Algebra: Rules, Theorems, Properties & Examples

In this lesson you will discover and use the rules of Boolean algebra to simplify Boolean expressions (statements that are either True or False). The Rules of Boolean algebra are given in a table, and a few examples show how to use them.

What is an Algorithm? - Definition & Examples

9. What is an Algorithm? - Definition & Examples

Algorithms are everywhere! Computers use them, your friends use them, even you use them! Learn more about what algorithms are, as well as create some algorithms of your own.

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