Introduction to Logic (Geometry Unit 2)
4.6 (49 ratings)
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Introduction to Logic (Geometry Unit 2)

the first unit for High School Geometry (for students)
4.6 (49 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
3,164 students enrolled
Created by Matt Gromlich
Last updated 8/2015
English
Price: Free
Includes:
  • 1.5 hours on-demand video
  • 1 Supplemental Resource
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I 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
View Curriculum
Requirements
  • Computer that plays audio/video files
  • Program to open PDFs
Description

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.

Who is the target audience?
  • This course is designed for students who are interested in learning the material. I have developed a similar course for instructors looking to use my videos to teach their students, but that course has additional instructor information.
  • High School Geometry Students
  • HSE/GED Students Studying Geometry
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Curriculum For This Course
8 Lectures
01:32:46
+
Start Here
1 Lecture 06:05
Introduction
06:05
+
Conjectures and Counterexamples
1 Lecture 14:25
Conjectures and Counterexamples
14:25
+
Symbolic Logic
1 Lecture 16:01
Symbolic Logic
16:01
+
Truth Tables
1 Lecture 12:22
Truth Tables
12:22
+
Conditional Statements
1 Lecture 15:13
Conditional Statements
15:13
+
Related Conditional Statements
1 Lecture 16:15
Related Conditional Statements
16:15
+
Deductive Reasoning
1 Lecture 10:25
Deductive Reasoning
10:25
+
Answer Keys
1 Lecture 00:00
Answer Keys Here
2 pages
About the Instructor
Matt Gromlich
4.3 Average rating
284 Reviews
6,025 Students
8 Courses
Math Teacher

I am a High School Math and High School Equivalency teacher in Las Vegas, Nevada. I just finished my 4th year of teaching. My background is in math and science (B.S. in Science and Math Education, M.Ed. in Agriculture Education from North Carolina State University). I recently started a Ph.D. program at the University of Nevada, Las Vegas in Curriculum and Instruction with an emphasis in Math Education.