Math 10C

Chapter 1 Measurement Systems

Lesson 1.3 Converting Between SI and Imperial Systems

Focus

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

TEXT Page 36

Read/Work through the  Focus  section at the top of page 36  in  your textbook.

Do your best to answer the questions given in this section, but no worries... this will all be covered in the lesson.

If you do a search for song titles or lyrics with measurements,  there are a lot of hits  (ha... pun intended...)
If you change the units, the song likely wouldn’t work
E.G.   The Proclaimers I would walk 500 miles...   LINK   
just doesn’t work if you convert...
I would walk 804.7 kilometers and I would walk 804.7 kilometers more...

Investigate

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

TEXT Pages 36 - 37

I don’t suspect that many students will have any CD’s lying around,  and probably can’t identify with LP’s.
(though there are still folks who use these forms of media)

I don’t see any VALUE ADDED in doing this investigation.
If you really want to do this, talk with your teacher and I’m sure they can give you suggestions on how to proceed.

Link the Ideas

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

TEXT Pages 36 - 37

Read/Work through the  Link the Ideas  section on Pages 36 - 37 in your textbook.

For this entire unit,  your teacher will likely expect you to memorize some common conversions,  and will give you a formula page that lists some conversions.

Note that converting units really is NOT the thing here!

You can go to the internet and convert from any unit to any other unit with ease.

The whole point here is the process,  using proportional reasoning or unit analysis has tons of practical use.

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  Convert Between SI and Imperial Units for Length

TEXT Page 38

Work through Example 1 on Page 38 in your textbook.

You could fine lots of hits about this question on the internet,  here is one.

Also note, that in the original article, the author missed the word million, and wrote “moves at 300 metres per second...”  .   Someone caught the error and mentioned it in a comment (and the author fixed the error)

Watch

Video comments A

Video Comments B

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video comments for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Comments

Example 2  Solve a Problem Involving Linear Measurements

TEXT Pages 39 - 40

Work through Example 2 on Pages 39 - 40 in your textbook.

There are MANY ways you could interpret this problem,  and depending on how “real life” you want it to be,  you will get different answers.   I did my work in parts, so you could watch the individual videos a bit at a time and determine how detailed you might want to be in doing the problem yourself.

Watch

Video comments A

Video comments B

Video comments C

Video comments D

Video comments E

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video comments for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video comments A

Video Comments B

Example 3  Determine Stopping Distances

TEXT Pages 40 - 41

Work through Example 3 on Pages 40 - 41 in your textbook.

Watch

Video comments  (just for part c,   please see the text for parts a and b)

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video comments for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Comments

Key Ideas

Key Ideas summarizes the main new concepts of the lesson.

•	Carefully read through each of the bullet points in this section.

•	If you are unclear about any of these ideas,  ASK YOUR TEACHER FOR HELP!

Note, if you are interested,  check the internet for errors connected to measurement conversions.
Here is a fairly recent one,  at a hefty cost...

(CNN) -- 
NASA lost a $125 million Mars orbiter because a Lockheed Martin engineering team used English units of measurement while the agency’s team used the more conventional metric system for a key spacecraft operation, according to a review finding released Thursday.

The units mismatch prevented navigation information from transferring between the Mars Climate Orbiter spacecraft team in at Lockheed Martin in Denver and the flight team at NASA’s Jet Propulsion Laboratory in Pasadena, California.

Check Your Understanding    (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

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

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

Extend questions offer enrichment and extension.

Create Connections questions connect the math to everyday contexts.

Mini Lab (optional)  your teacher may or may not have you do these.

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!

NOTES

Question 3   feel free to skip this one, unless your teacher specifically asks you to do it

Question 4    you will need to measure the diagram in your textbook to work on this one.
NOTE!!   In part d, I made a mistake and found the dimensions of the WHOLE apartment, instead of the bedroom.

Question 9 is discussion.  If you have someone you can work with on this, excellent!   The answer in the book has some suggestions,  but I would caution you that trying to MEMORIZE a set of steps is NOT the best way to do these kinds of problems.  UNDERSTANDING the process  will help you more in the long run.

Question 14   You may not be familiar with OLD SCHOOL vinyl records,  but I think you can still do this question and it has some value.

Question 16  I didn’t do this one.    You will need to assume the photo in your book is a scale diagram,  and MEASURE to get the dimensions needed for this problem.   At least, that's all I could think of!   Nice context for the problem but using that formula is a real stretch....

Question 17	not much value I can add here, check the answer in the back of the book.

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