What you'll learn:
- Use inductive reasoning to develop appropriate conjectures
- Find counterexamples to false conjectures
- Describe the truth values of given statements
- Differentiate between conjunctions and disjunctions
- Create truth tables of compound statements
- Identify the hypothesis and conclusion for conditional statements
- Understand the difference between the converse, inverse, and contrapositive
- Correctly use the Law of Detachment and the Law of Syllogism to arrive at logical conclusions
This unit is the first in a High School Geometry curriculum. It teaches basic logical concepts so that they can be applied to geometric concepts later on. It can be taken by traditional high school students as well as High School Equivalency (HSE) students who are learning about geometric topics for their equivalency exams (GED, TASC, and/or HiSET).Topics include:
(1) Conjectures and Counterexamples
(2) Symbolic Logic
(3) Truth Tables
(4) Conditional Statements
(5) Related Conditional Statements
(6) Deductive Reasoning
Each section has at least one related video, a video quiz, and a section quiz. The video quiz is to be taken along with or shortly after watching the video. The section quiz is to be taken after. To supplement the course, you can use any textbook.
This course should take approximately five to ten hours to complete.
