Course: Introduction to Geometry

Day 4: Definitions

In this lesson you will learn what makes a quality definition as an if-then statement. You will also explore several definitions related to lines and angles.

Objectives
- Understand an if-then statement
- find a counterexample
- Write and if-then statement
- Understand what acute angle, right angle, obtuse angle, vertical angle, linear pair, complementary angle, supplementary angle, parallel lines, and perpendicular lines are.

If-then statements are a basic form of logic and definition form in math. Go through the following worksheet to learn what an if-then statement is and how to write one as well as prove that one might be false. When you've completed the worksheet upload the completed worksheet.

Now that we know how to write if-then statements let's write some if-then statements for some new terms. Below you will see you name on one of three groups. Each group will be assigned to a wiki page on the wiki site below. Your group will go to your group wiki page and look at three different terms. Each term will have a picture showing you what it is and what it is not. As a group you will need to create a good if-then statement defining what each term is. Make sure there are no counterexamples. Once you've finished go to the other groups wikis and look at their terms. If you find a counterexample for any of their terms post the counter example, but don't fix their definition. If someone finds a counterexample for your groups definition go back and fix your if-then statement.

Group A | Group B | Group C

Your assignment for this lesson is to choose one of the three options and then upload your final product in the assignment link.

Option 1
Create a Prezi or Power Point that would teach all 9 new terms to someone who has never had geometry before.

Option 2
Create a short (10 minutes or less) movie that uses all 9 new terms and their definitions.

Option 3
Create a photo album showing each of the 9 new terms in photos found in the real world. There needs to be a photo for each term and a written description of how you know the picture is the term your using for it.