Math 10-3

Unit 4 Mass, Temperature, and Volume

Lesson number 44 Making Conversions

Formula page

I expect that you will be able to use a formula page for this class,  but that will be determined by your teacher.

Your teacher may have a formula page they expect you to use.

Below is a link to the formula page I will use (at least for now!) when I’m doing questions for this class.

This may change, depending on feedback from your teacher.

I encourage you to download this page and print it so you have it handy when you are doing math.

LINK
https://drive.google.com/open?id=1EMauePx-P6WrtTIcd7-AtNnmJt8zqXpI

Explore the Math Pages 162 - 163

Read/Work through this section of your textbook.
These ideas will be developed in the examples

Your teacher will let you know which pages you need to do for this lesson.

This lesson really has nothing new.

You are using conversion factors to solve problems.

All the conversion factors you need should be available to you on the formula page you are using for this class.

Example 1  Pages 163 - 164

Read the example problem and try to answer the question YOURSELF if you can.
Use the textbook solution or the Video Tutorial if you need help.

Video Tutorial

Build Your Skills Pages 165 - 167

These questions all come from your textbook.

If you need extra practice or want to maintain your skills,  see the NEXT section for more practice questions.

Doing Practice Problems

The problems in this section reinforce the math presented in this lesson, and give you opportunities to build on and practice your skills.

•	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!

•	EXTEND YOUR THINKING problems will be more challenging than the others.

Notes

Question 8,    some parts of this question are subjective,  I made a few comments but focussed mainly on the “math” parts (parts a, b and c)

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", , }})

Develop and Maintain Your Skills

Doing these problems

These questions are provided to help you develop and maintain your skills with the ideas of this lesson.

These questions are modelled after the questions in the textbook,  so there is nothing different here, just more questions if you need them.

These questions are completely optional (unless your teacher specifically assigns them)

Each question has an answer AND a video solution.

DO your best to answer the question YOURSELF first!

Check your work with the answer provided.

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!

Practice Problems

Problem

Laila bought 5 bushels of sunflower seeds.

If the conversion factor is 73.487 bu/t, what is the weight of the sunflower seeds:

a) in kilograms?
b) in pounds?
(note,  take t to be a metric ton)

Answer

The mass is about 67.9 kilograms.

Video Solution Link

Problem

If Jore gets $195.76 per metric ton for wheat, how much does he earn per bushel 
(conversion factor 36.744 bu/t)?

Answer

Jore earns $5.33/bu.

Video Solution Link

Problem

If one bushel of triticale grain is about 2220 cubic inches, how many bushels are in a pile that measures approximately 8 feet by 6 feet by 5 feet?

Answer

There are approximately 187 bushels in the pile.

Video Solution Link

Problem

Alphonse is making chicken kebabs for 14 people.

His recipe suggests about 7 oz of chicken per person.

At the grocery store, the weight of chicken is labelled in kilograms.

How much chicken does Alphonse need to buy?

Answer

Alphonse will need to buy about 2.8 kg of chicken.

Video Solution Link

Problem

A crane can lift a maximum of 5 t.

Sandstone weighs about 150 lb per cubic foot, and a container contains 70 cubic feet of sandstone.

Can the crane be used to load the container onto a train?

Note,  there is some confusion over what abbreviation to use for ton or tonne!
In this question, assume 5 t to mean 5 tonne

Answer

Yes, the crane can be used to load the container onto the train.

Video Solution Link

Problem

Josephine is sending a gift of a bottle of maple syrup that weighs 3 lb, and 3 packages of smoked salmon jerky that each weigh 100 g.

If the package's total weight is less than 2 kg, she can ship it at a cheaper rate.

Will she be able to do so?
(justify your answer with calculations)

Answer

Josephine will be able to send her package for the cheaper rate.
(The total mass of the package is 1.7 kg)

Video Solution Link

Problem

A truck has a maximum load limit of 5000 kg.

Can it safely carry 230 bushels of canola, if the conversion factor is 44.092 bushels/tonne?

Answer

The canola weighs about 5216 kg.
This is over the limit of 5000 kg, so the load cannot be safely carried.

Video Solution Link