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Unit Conversions

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Learning Goals

By the end of the lesson I will be able to:

  • Convert units within the metric and imperial systems
  • Convert units between the metric and imperial systems

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Review

Metric vs. Imperial: Choose a side!

For the unit types below, determine whether they are metric or imperial.

gram

ounce

yard

metre

kilometre

foot

pound

kilogram

mile

millilitre

Metric

Imperial

Imperial

Metric

Metric

Imperial

Imperial

Metric

Imperial

Metric

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Estimate

Instructions:

  • Make estimations for each of the conversions you see on your handout.
  • Show me your estimations.
  • Use an electronic device (Chromebooks are available) to find the real conversion rate.

This table is a good tool for you to use.

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Let’s do some converting!

Now that we have a tool to help us convert, let’s practice converting.

There are a few simple steps you can use to help you convert.

  • Setup a ratio with the unit you are looking for at the top and the unit from the question on the bottom.
  • Setup a second ratio with the conversion rate from your sheet. Be sure to line up your units!
  • Cross multiply… Sort of…

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Example

Many years ago the standard size for a pop can was 280 mL. What is that in fluid ounces?

Let f be the number of fluid ounces in an old pop can.

f fl. oz.

280 mL

According to our sheet, there are 29.573 mL in 1 fl. oz.

1 fl. oz.

29.573 mL

=

f fl. oz.

(280 mL)(1 fl. oz.)

29.573 mL

=

f fl. oz.

9.47 fl.oz

=

Therefore there are about 9.47 fl. oz. in 280 mL

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Example

One cup is 8 fluid ounces, what is that in mL?

Let m be the number of mL in one cup.

m mL

8 fl. oz.

According to our sheet, there are 29.573 mL in 1 fl. oz.

29.573 mL

1 fl. oz.

=

m mL

(8 fl. oz.)(29.573 mL)

1 fl. oz.

=

m mL

236.584 mL

=

Therefore there are about 236.6 mL in

1 fl. oz.

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Example

Mary measures herself as weighing 58 kg, what is that in pounds?

Let p be the Mary’s weight in lbs.

p lbs

58 kg

According to our sheet, there are 2.2 lbs in 1 kg.

2.2 lbs

1 kg

=

p lbs

(58 kg)(2.2 lbs)

1 kg

=

p lbs

127.6 lbs

=

Therefore Mary is approximately 128 lbs.

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Assignment

ROAD TRIP!

Your assignment is due next Monday at the end of class. Every day you will be given time to work on it.

All assignments are to be returned to me by the end of class every day.

Failure to do so will result in a 0 for the unit!

YOU… HAVE… BEEN… WARNED…