Math 8

Unit 8 Geometry

Lesson 83 Building Objects from Their Views

Focus

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

TEXT Page 447

Read/Work through the  Focus  section at the top of page 447 in  your textbook.

Watch

Video Tutorial

Investigate

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

TEXT Page 447

Read/Work through the  Investigate  section on Page 447 in your textbook.

You may not have a partner to work with.  
No worries!  
You can do this activity on your own.

There are many different variations that can result when you do this investigation.
(and if you don’t have linking cubes,  you can still do this using the isometric drawing tool you can link to below.)
The best thing  you could do here would be to see if you can create an object that matches all three views given in the investigation.

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

Do your best to answer the questions, then watch the Video Tutorial for help or to check your answers.

Watch

Video Tutorial A   (creating two different objects that satisfy one view)

Video Tutorial B  (creating an object that satisfies all the views)

Connect

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

TEXT Page 448

Read/Work through the  Connect  section on Page 448 in your textbook.

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 Pages 448 - 449

Work through Example 1 on Pages 448 - 449  in your textbook.

Watch

Video Tutorial

Example 2

TEXT Page 449

Work through Example 2 on Page 449 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

MANY of these questions are going to ask you to “use these views to build an object”.
If you don’t have access to linking cubes,  I’m not sure how you will do that.
The isometric online tool is helpful, but doesn’t really work well when the objects get complicated.
Even a set of regular “blocks” would work.
If you have no way of actually BUILDING an object,  hopefully there is still value in watching me build the object to answer the question.

Question 1,    I discussed this when I did Example 1

Question 2,    starting with a view that has no change in depth is a good strategy.    But, no matter how you tackle a problem,  it’s a feedback process,  where you build,  check, revise, repeat... until everything FITS.  (I didn’t make a video for this one)

Question 3,    yes,  Here is the link to the video I did for this question in a previous lesson.   LINK

Question 12,    a great question but because there are so many variations that are possible,  I didn’t make a video for this one.

Question 15,    I worked on this a bit,   and got very close.... but either there is a small error in the question,  or I can’t do this one...
I created a video showing my finished object,  if you can figure out how to do this based on the textbook views,  I’d love to hear how you did it!

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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