Math 7

Unit 8 Geometry

Lesson 8.6  Graphing Translations and Reflections

Focus

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

Graph translation and reflection images on a coordinate grid.

TEXT Page 320

Read/Work through the  Focus  section at the top of page 320 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 320

Read/Work through the  Explore  section on Page 320 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.

You are welcome to “do your own thing”,  and perhaps get another student or your teacher to check your work.
You are also welcome to “follow along” as I go through the exploration.
Just be sure to be ACTIVE and actually plot the points,  pause the video and do some drawing/calculating, etc.

Grid Paper
Several links were provided in the previous lesson.
HERE is a link to a 0.5 cm grid paper file you can download and print.

Watch

Video Tutorial

Geogebra applets

These online applets will let you explore the ideas of this lesson.

Translations   LINK

Video Tutorial

Reflections   LINK

Video Tutorial

Demonstrations

Video Tutorial

Translations

Nothing new here, just reinforcing what you have already seen in the lesson.

Reflect in a vertical line

Nothing really new here,   this shows how an shape and the reflection image are equally far from the reflection line.

Use the slider to move the reflection line.

Drag the locators to move and change the red shape.

Check the "Show Lines" box to show the lines connecting the vertices of the red shape with the vertices of the blue image.

Use the slider to move the reflection line.

Drag the locators to move and change the red shape.

Check the "Show Lines" box to show the lines connecting the vertices of the red shape with the vertices of the blue image.

Reflect in a horizontal line

Nothing really new here,   this shows how an shape and the reflection image are equally far from the reflection line.

Use the slider to move the reflection line.

Drag the locators to move and change the red shape.

Check the "Show Lines" box to show the lines connecting the vertices of the red shape with the vertices of the blue image.

Use the slider to move the reflection line.

Drag the locators to move and change the red shape.

Check the "Show Lines" box to show the lines connecting the vertices of the red shape with the vertices of the blue image.

Connect

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

TEXT Page 321

Read/Work through the  Connect  section on Page 321 in your textbook.

I didn’t make a video here, as these ideas have already been covered in great detail earlier in the lesson.

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 322

Work through the Example  on Page 322 in your textbook.

Watch

Video Tutorial

HERE is a link to the page I used in the video for this example

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.

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!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}})