Introduction to Logic (Geometry Unit 2)

the first unit for High School Geometry (for students)
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  • Lectures 8
  • Length 1.5 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 7/2015 English

Course 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.

What are the requirements?

  • Computer that plays audio/video files
  • Program to open PDFs

What am I going to get from this course?

  • 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

What 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

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Start Here
Introduction
06:05
Section 2: Conjectures and Counterexamples
Conjectures and Counterexamples
14:25
Section 3: Symbolic Logic
Symbolic Logic
16:01
Section 4: Truth Tables
Truth Tables
12:22
Section 5: Conditional Statements
Conditional Statements
15:13
Section 6: Related Conditional Statements
Related Conditional Statements
16:15
Section 7: Deductive Reasoning
Deductive Reasoning
10:25
Section 8: Answer Keys
Answer Keys Here
2 pages

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Instructor Biography

Matt Gromlich, 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.

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