MJ2 - Ch 1.8 Metric Measurement

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MJ2
Ch 1.8 – Metric Measurements
Bellwork
•
1.
2.
3.
4.
Identify if the sequence is arithmetic or
geometric and name the next 3 numbers
2, 8, 32, 128…
0.5, 1.0, 1.5, 2.0…
3, 15, 75, 375…
3, 6, 9, 12…
Assignment Review
• No homework…
• Please note: If you were not here
yesterday for the class activity you are to
read text p. 34 & 35 and then complete
text p. 36 # 12 – 23
• This assignment will count as a test
grade and is due next class…
Before we begin…
• Please take out your notebook and get ready to
work…
• It is expected that you are familiar with the
Customary Measurement System that we use
in this country….
• This system measures in Feet & inches, gallons
& quarts, and pounds & ounces…to name a few.
• This customary system is mostly used in the
United States.
• In other countries they use the Metric
Measurement System…which, is what we will
explore today…
Objective
• Students will convert metric units of length,
capacity, and mass
Measurement Categories
• Like the customary system, in the metric
system we can categorize measurements
into the following:
– Linear (length) Measurement
– Liquid (capacity) Measurement
– Weight (mass) Measurement
Linear Measurement
Vocabulary
• Please write down the following terms:
• In the metric system you need to know the what
the following prefixes mean.
Prefix
Meaning in
words
Meaning in
Numbers
kilo-
Thousands
1,000
centi-
hundredths
0.01
milli-
thousandths
0.001
Linear Measurement
• In the metric system the meter (m) is the
base unit.
• A meter is a little more than a yard…and
we all know how long a yard is…don’t we?
Linear Measurement
• One kilometer is equivalent to 1,000
meters
• One meter is equivalent to 100
centimeters and 1,000 millimeters
• The metric prefix indicates the place value
position of the measurement
Linear Measurement
• In the metric we can visually see the order
of the measurement from largest to
smallest with the following diagram
• Also listed are the abbreviations for each
Kilometers
(km)
Meters
(m)
Centimeters Millimeters
(cm)
(mm)
• In order to convert measurements in the
metric system you need to know the
relationship of each of the terms
Converting Linear Measurement
• To convert units from larger to smaller
you multiply
• To convert units from smaller to larger
you divide
• Here is what it looks like: (Please copy the
diagram and use it to help you convert
measurement)
Converting Linear Measurement
x 100
x 1000
Kilometers
(km)
 1000
Meters
(m)
x 10
Centimeters
(cm)
 100
Millimeters
(mm)
 10
Example 1
• To convert from meters to centimeters you
multiply because meters is bigger than
centimeters
Multiply
4.5 m = __?__cm
4.5 x 100 = 450
4.5 m = 450 cm
Example 2
• To convert from meters to kilometers, you
divide because meters is smaller then
kilometers
Divide
Therefore
2600 m = ? km
2600  1000 = 2.6
2600 m = 2.6 km
Your Turn
•
In the notes section of your notebook
convert the following measurements
1. 550m = ? Km
2. 3.7m = ? Cm
Please make sure that you are writing
the original problem so you can refer
back to it.
Liquid Measurement
Vocabulary
• The liter (L) is the base measurement unit
of liquids in the metric system
• One Kiloliter (kL) is equivalent to 1,000
liters
• One liter (L) is equivalent to 1,000
milliliters (mL)
Converting Liquid Measurement
• To convert units from larger to smaller
you multiply
• To convert units from smaller to larger
you divide
• Here is what it looks like: (Please copy the
diagram and use it to help you convert
measurement)
Converting Liquid Measurement
• The categories for liquid measurement, in
order from largest to smallest are:
x 1000
x 1000
Kiloliter
liter
Milliliter
(kL)
(L)
(mL)
 1000
 1000
Example 1
• To convert liters to milliliters you multiply
by 1,000 because liters are larger than
milliliters.
Multiply
Therefore
3.2 L = ? mL
3.2 x 1,000 = 3200
3.2 L = 3,200 mL
Example 2
• To convert from liters to kiloliters you
divide by 1,000 because liters is smaller
than kiloliters
Divide
Therefore
1,640 L = ? kL
1,640  1,000 = 164
1,640 L = 164 kL
Your Turn
•
In the notes section of your notebook
convert the following measurements
1. 0.75 kL = ? L
2. 8,800 mL = ? L
Please make sure that you are writing
the original problem so you can refer
back to it.
Weight Measurement
Vocabulary
• In the metric system the gram (g)
measures mass – the amount of matter in
an object
• The base unit for mass is kilogram
• One kilogram (kg) is equivalent to 1, 000
grams (g)
• 1 gram (g) is equivalent to 1,000
milligrams (mg)
Converting Mass
• To convert units from larger to smaller
you multiply
• To convert units from smaller to larger
you divide
• Here is what it looks like: (Please copy the
diagram and use it to help you convert
measurement)
Converting Mass
x 1000
kilograms
(kg)
 1000
x 1000
grams
(g)
milligrams
(mg)
 1000
Example 1
• To convert from kilograms to grams you
multiply by 1,000 because kilograms are
larger then grams
Multiply
Therefore
8.43 kg = ? g
8.43 x 1,000 = 8,430
8.43 kg = 8,430 g
Example 2
• To convert from milligrams to grams you
divide by 1,000 because milligrams is
smaller than grams
Divide
Therefore
500 mg = ? g
500  1000 = 0.5
500 mg = 0.5 g
Your Turn
•
In the notes section of your notebook
convert the following mass
measurements
1. 23.5 g = ? mg
2. 9,014 g = ? kg
Please make sure that you are writing
the original problem so you can refer
back to it.
Summary
• In the notes section of your notebook
summarize the key concepts covered in
today’s lesson.
• Today we discussed:
– How to convert larger units to smaller units in
the metric system
– How to convert smaller units into larger units
in the metric system
Assignment
• Workbook p. 37
– Use your notes to help you with the
conversions
NOTICE: QUIZ TOMORROW ON CH 1.8
(CONVERTING METRIC MEASUREMENT)
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