About This Chapter
Below is a sample breakdown of the logic in mathematics chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.
|Day||Topics||Key Terms and Concepts Covered|
|Monday||Critical thinking and logic||Premises, arguments, conclusions, logic, and relevant examples|
|Tuesday||Logical fallacies||Circular reasoning, hasty generalizations, appeals to popularity, limited choice, appeals to ignorance, false causes, and appeals to emotion|
|Wednesday||True and false statements||Truth values, negation, truth tables, and propositions|
|Thursday||Statements and connectors||Disjunctions, conditional statements, conjunctions, logical equivalence, counterexample, converse, contrapositive, and inverse|
|Friday||Proofs||Direct proofs, geometric proofs, proof formats, and applications|
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 Geometry Curriculum Resource & Lesson Plans course
- Foundations of Geometry Lesson Plans
- Introduction to Geometric Figures Lesson Plans
- Properties of Triangles Lesson Plans
- Triangles, Theorems & Proofs Lesson Plans
- Parallel Lines & Polygons Lesson Plans
- Similar Polygons Lesson Plans
- Quadrilaterals Lesson Plans
- Circular Arcs & Circles Lesson Plans
- Conic Sections Lesson Plans
- Geometric Solids Lesson Plans
- Analytical Geometry Lesson Plans
- Introduction to Trigonometry Lesson Plans