Math 7

Unit 8 Geometry

Lesson 8.1  Parallel Lines

Getting Started

For this final unit in the course you will be studying geometry.

A geometry set with a compass,  protractor and ruler will be required if you want to follow along with the lessons.

Some of this will depend on your teacher and how formally they will expect you to answer questions.

Many programs have drawing tools that will allow you to easily draw circles, parallel lines, perpendicular lines, etc.  but...   you may or may not be allowed to use these tools on assignments and tests.

The lessons will present ideas using a variety of tools.

Being Pragmatic
Finding simple ways to do these constructions will be the goal,  so in the end, I will assume you will use a marked ruler and protractor to construct the figures we are exploring in this unit.   
NOTE!   
Your teacher may REQUIRE that you do these constructions using specific tools.   
You will need to determine how to do these questions based on what your teacher requires.

Geometry Constructions

If you are interested,  there is a branch of geometry where different shapes, lines, angles, etc.  are all drawn using just a straight edge and a compass.

This is sometimes called pure geometry because NO NUMBERS are used.

The focus is one creating the desired figures using just two simple tools.  (unmarked straight-edge and compass)

This used to be a big part of what was taught in geometry but is generally not focussed on anymore since it is theoretical and most students would likely be more interested in practical methods to do the same things.

LINK

A website dedicated to geometry constructions,  a game to teach how Euclid (a famous mathematician) worked with and thought about ideas in geometry.
LINK

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

Use different methods to construct and identify parallel line segments.

TEXT Page 300

Read/Work through the  Focus  section at the top of page 300 in  your textbook.

Watch

Video Tutorial

Explore

Explore an idea or problem.
The exploration provides the background for the ideas presented in the lesson.

TEXT Page 300

Read/Work through the  Explore  section on Page 300 in your textbook.

You can do this activity on your own.
Do your best to answer the questions, then watch the Video Tutorial for help or to check your answers.

Interactive

An example of parallel lines,   LINK

Watch

Video Tutorial

Connect

Connect summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Pages 300 - 301

Read/Work through the  Connect  section on Pages 300 - 301  in your textbook.

I covered some of these methods in the Explore video

Example

The Example will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example

TEXT Page 301

Work through the Example  on Page 301 in your textbook.

Watch

Constructing Parallel lines   (three demonstrations)
The following three demonstrations show construction methods  for creating parallel lines
Method A
Method B
Method C

Practice Problems

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Assessment Focus a question that gives a good example of the kind of question you would be expected to answer after completing the lesson

Take It Further questions offer enrichment and extension.

Notes

Question 3,    I didn’t do a video for this one.
Your teacher may or may not require you to do constructions in a specific way.
The methods needed were shown in the videos for the lesson.

Question 6,    I didn’t do a video for this one.
You can either 
A)	extend lines to see if they will meet (visual check), 
or 
B)	you can measure the shortest distance between two lines in a few places, and if that distance is constant, the lines are parallel.

These pairs of line segments are parallel
JE and AB
CL and BK
BE and AF
BF and GK
AF and GK

Question 6,    If you want to print the diagram and actually check,  here is a link to a document you can download and print.

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

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