Math 8

Unit 8 Geometry

Lesson 82 Drawing Views of Rotated Objects

Focus

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

TEXT Page 441

Read/Work through the  Focus  section at the top of page 441 in  your textbook.

Investigate

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

If you need to do this activity with online linking cubes, use the link below.

Isometric Drawing Tool  LINK
https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Isometric-Drawing-Tool/

Below,  a link to a short video on how to use the tool  (I had this link in the previous lesson as well)

Video Tutorial,   using the tool

Some specific information on ROTATING using the online tool.  Video Tutorial  (Isometric Rotate)

TEXT Page 441

Read/Work through the  Investigate  section on Page 441 in your textbook.

You may not have a partner to work with.  
No worries!  
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.

Watch

Video Tutorial

Connect

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

TEXT Page 442

Read/Work through the  Connect  section on Page 442 in your textbook.

Even if you KNOW you are going to watch the video, READING this section is still important.

Getting the same information in multiple ways can help with understanding.

Watch

Video Tutorial

Examples

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

Example 1

TEXT Page 443

Work through Example 1 on Page 443 in your textbook.

Watch

Video Tutorial

Example 2   (done with Example 1)

Example 3

TEXT Page 444

Work through Example 3 on Page 444 in your textbook.

Watch

Video Tutorial

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

Discuss the Ideas invites you to talk about the math.
If possible share your thoughts/ideas/answers with another person.
If you can help them understand, then you likely have good understanding yourself.

Check questions require basic understanding of the ideas of the  lesson.

Apply questions will require you to dig deeper for a solution.

Take It Further questions offer enrichment and extension.

Notes

Question 2,    a cube would work for this question.  (but other more complicated objects would work,  say, a sphere...)

Question 10,    they ask you to create your own object and rotations, which is great!   But... if you want to check your work, below is the object I used,  and you will have to “follow along” for the rotations I used.  (only if you want to check your work with mine...)

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 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", , , }})