Marvelous Metrics

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Marvelous Metrics
A tutorial to help you review measuring distance
in the metric system.
Lets Get Started
Benchmark Use metric measurement devices to
provide consistency in an investigation (I.1.m.4)
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Why do I have to learn metric if I live in the
United States? Why not just measure everything
in inches, feet, yards, and miles? Answer
Magnum est ut inter sese colloqui possint periti
in scientiae rebus. Having trouble understanding
the message above? It is a very simple phrase in
Latin.
Please Translate
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Translation It is important that scientists can
communicate with each other. Scientists around
the world have to be able to communicate with
each other. Just as you had difficulty reading
the Latin phrase, imagine what would happen if
every scientist used a different measuring
system. That is why a universal system of
measurement is necessary. This system is the
metric system.
Time to Measure
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All measurements during this tutorial will be
made in centimeters. Look at the magnified
ruler below. The distance from one tall line to
another is one centimeter (cm). The smaller
lines each represent one millimeter (mm). There
are 10 millimeters in one centimeter. Prove this
to yourself by counting the number of millimeters
between 0 and 1 (do not count the 0 line, but you
do count the 1 line). Since there are 10
millimeters in one centimeter, each millimeter
line equals 0.1 centimeters.
0 1 2
3 4
.1 .2 .3 .4 .5 .6 .7 .8 .9
How many centimeters are shown on the ruler
segment above? Four Forty
5
Excellent
0 1 2
3 4
There are 4 cm shown on the ruler above and 40 mm.
Im ready to move on.
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There are 40 mm below. The millimeter markings
are the shorter lines. But there are only 4
centimeters. The centimeters are circled.
0 1 2
3 4
Practice Again
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How many centimeters are shown on the ruler
segment below? Eleven One
0 1
8
Excellent
0 1
There is 1 cm shown on the ruler above and 11 mm.
Im ready to move on.
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There is 1 cm shown on the ruler above and 11 mm.
Remember the smaller lines are the millimeters.
0 1
Lets go back and review
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We can compare measuring in metric with money.
It takes 10 millimeters to equal 1 centimeter.
Just like it takes 10 dimes to equal 1 dollar.
On the paperclip below, if you could give
yourself 1 dollar for each full centimeter that
the paperclip covers, you would have 3. But
wait, the paperclip goes past the 3 cm mark, so
shouldnt you get more money? Yes, give yourself
1 dime for each millimeter beyond the 3 cm. How
much money do you have? 3 0.30 ?
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You should have 3.30 Follow a similar method
when measuring in metric. How many full
centimeters long is the paper clip? 3 cm Now
count the number of millimeters beyond the 3 cm
mark. 3 Remember a millimeter equals 0.1 cm.
Putting it all together, 3 cm 0.3 cm ?
The paperclip is 3.3 cm long. Notice how this
answer compares to your dollar answer at the top
of this slide.
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• How long is the domino?
• 5.1 cm C. 51 cm

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Good Job!
The domino is 5.1 cm long.
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How long is the car? A. 71 cm B. 7 cm C. 7.1
cm
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Excellent!
The car is 7.1 cm. Youre ready to move on.
Next
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• How tall is the Coke can?
• 122 cm
• 12.2 cm
• 12 cm

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Right Again
The Coke can is 12.2 cm tall.
One More Practice
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How long is the straw? A. 195 cm B. 19.1
cm C. 19.5 cm
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Fantastic
The straw is 19.5 cm long. Youre really good at
measuring.
One Last Practice
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Try using the money analogy if that helps you.
Give yourself 1 for each centimeter mark that
the domino covers. You would have 5. It looks
like the domino is a little past the 5 cm mark.
Give yourself 1 dime for that millimeter. How
much money do you have? 5.10
Now do the same thing, but ask yourself about
centimeters and millimeters. How many full
centimeters long the domino is. 5 Count the
number of millimeters beyond the 5. How long is
the domino?
Try Again
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The car is not 71 cm long. Decide how many full
centimeters long the car is. Write this number
in front of the decimal. 7.____cm Now count
the millimeters after the 7. Remember, a
millimeter is equal to 0.1 cm. So the number of
millimeters you count goes behind the decimal
point. .1cm Your final answer is 7.1 cm.
Another Practice Please
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Remember to count the number of millimeter
markings after the 7 cm line.
Try Again
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How wide is the disk? A. 9.4 cm B. 9.5 cm C.
9 cm
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Now You've Got It
The disk is 9.4 cm.
Next
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Be careful. The slightly longer line between 9
cm and 10 cm represents 5 millimeters or 0.5 cm.
If the disk is one millimeter before 0.5 cm, how
long must the disk be? You can also re-count all
of the millimeter markings after the 9 until you
get to the end of the disk.
Try Again
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It appears that the disk extends beyond the 9.
Use the black horizontal line, that indicates the
end of the disk, as a reference.
Try Again
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The Coke can is 122 millimeters tall, not 122 cm.
But remember we are making all measurements in
centimeters. How many full centimeters tall is
the can? That number goes in front of the
decimal. 12.__cm How many millimeters beyond the
12 cm mark does the can extend? .2cm Put it all
together, and try again.
Try Again
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Look again. Are you sure it is exactly 12.0 cm,
or does the can extend a few millimeters after
the 12 cm mark?
Try Again
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Remember your answer should have the general form
of ____ ____ . ____ cm. The numbers to the left
of the decimal represent centimeters (just as it
would represent dollars if we were talking about
money) and the number to the right of the decimal
represents the smaller millimeters (just like
dimes in money).
Try Again
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Notice the slightly larger millimeter line
between the 19 cm and 20 cm. This line
represents 0.5 cm. If you count the millimeters
after 19, you will count 5 when you reach that
line. 0.5 cm marks are slightly longer to make
reading the ruler a little easier.
Try Again
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A meter stick is used to measure a floor tile.
In centimeters, how long is the tile (include the
grout line between tiles)? A. 96.5 cm B. 96.1
cm C. 96.0 cm
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You're Great at This!
Challenge Me
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You chose 96.1 cm which is the measurement shown
by the purple arrow. The tile with grout extends
to the yellow line.
Try Again
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Are you sure the tile and grout ends at exactly
96 cm? The purple line represents the distance
you are measuring.
Try Again
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What measurement is indicated by arrow on the
ruler segment below? A. 4.0 cm B. 0.4 cm C.
4.4 cm
0 1
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Good For You
You knew exactly what to do. The arrow does
represent 0.4 cm.
0 1
Im Ready for the Test
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Follow the same pattern as weve done in all of
the previous measurements. How many full
centimeters to get to the arrow? In this case
the answer is 0 cm. The arrow is not to the 1 cm
mark. So we write 0.___cm Now count the number
of millimeter marks to the arrow. You should
count 4. So we write 0.4 cm. If you were
receiving money for this measurement, how much
would you have? A dime for a millimeter.
0.40
0 1
.1 .2 .3 .4
Another Practice Please
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You chose 4.4 cm. The orange arrow on the ruler
segment below is pointing to 4.4 cm.
0 1 2 3
4
Below is the line segment you were given. What
number should be to the left of the decimal?
0 1
Try Again
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What measurement is indicated by arrow on the
ruler segment below? A. 7.0 cm B. 0.2 cm C.
0.7 cm
0 1
40
Now You've Got It!
The arrow does point to 0.7 cm.
0 1
Im Ready for the Test
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Look carefully, is 7 cm shown on the ruler
segment? No the ruler is only showing up to 1
cm, and the arrow is not to the 1. So we must
write a 0.__cm If you count the millimeter lines,
there are 7 to get to the arrow. Is that why you
chose 7cm? But those lines represent 0.1 cm
each. So, what would the correct answer be?
0 1
.1 .2 .3 .4 .5 .6 .7 .8 .9
Try Again
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Remember the slightly taller line between the 0
cm and 1 cm represents 0.5 cm, and is taller to
help read the ruler. If the purple arrow is two
lines after the 0.5 cm line, what measurement
must it be indicating?
0 1
.5
Try Again
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Time to Show What You Know

• How long is the keyboard?
• A. 45 cm B. 45.5 cm C. 50cm

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Excellent! You're off to a great start
Next Question
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Oops Not the right measurement.
Try Again
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• What measurement is indicated by the purple
  arrow?
• A. 3.6 cm B. 36 cm C. 3.1 cm

0 1 2 3
4
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Great Job!
Next Question
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Oops Not the right measurement.
Try Again
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• How wide is the outdoor chair?
• A. 89 cm B. 82. 8 cm C. 82.3 cm

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You're Great at This!
Next Question
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Oops Not the right measurement.
Try Again
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4. What measurement is indicated by the purple
arrow? A. 2 cm B. 0.7 cm C. 0.2 cm
0 1 2 3
4
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Perfect! Just one to go
Next Question
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Oops Not the right measurement.
Try Again
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4. What measurement is indicated by the purple
arrow? A. 0.9 cm B. 9 cm C. 1.1 cm
0 1 2 3
4
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Oops Not the right measurement.
Try Again
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Well Done!
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You Have Finished This Tutorial Being able to
accurately measure is an important science skill.
This skill will be necessary for later concepts
such as finding the area in order to calculate
pressure, finding volume in order to calculate
density, and measuring distance to calculate
speed.
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Resources
All clipart and sounds during slide transitions
from Microsoft Office Online. 19 Apr. 2007
lthttp//office.microsoft.com/en-us/clipart/FX10132
1031033.aspx?pidCL100570201033gt.