Standard: MCC6.RP.3d Use ratio reasoning to convert measurement units, manipulate and transform units appropriately when multiplying or dividing quantities.
Mar 27, 2015
Standard: MCC6.RP.3d
Use ratio reasoning to convert measurement units, manipulate and transform units appropriately when multiplying or dividing quantities.
What are the metric measurements that we are learning about?
MeterLength
LiterVolume
GramWeight or Mass
How to remember different lengths in the metric system:
When you think of a millimeter (mm) think of:
The thickness of a dime.
When you think of a centimeter (cm) think of: The width of your pinky.
How to remember different lengths in the metric system:
When you think of a meter (m) think of: The height of the doorknob.
When you think of a kilometer (km) think of:A little more than half of a mile
How to remember different volumes in the metric system:
• When you think of a liter (L) think of:About the size of a bottle of water.
• When you think of 5 milliliters (mL) think of:One teaspoon
• When you think of 2 kiloliters (kL) think of:A hot tub
How to remember different masses in the metric system:
When you think of a gram (g) think of:A paper clip
When you think of a kilogram (kg) think of:A little more than 2 pounds.
What is the order of the metric system?
• King Henry Died by Drinking Chocolate Milk– King: Kilo– Henry: Hecto– Died: Deca– By: Base (m, L, g)– Drinking: Deci– Chocolate: Centi– Milk: Milli
Metric System• If you move to the left in the diagram, move the
decimal to the left
• If you move to the right in the diagram, move the decimal to the right
kilo hecto deca
meterliter
gram
deci centi milli
Metric SystemAn easy way to move within the metric system is by moving the decimal point one place for each “step” desired
Example: change meters to centimeters
1 meter = 100 centimetersor
1.00 meter = 100. centimeters
kilo hecto deca
meterliter
gram
deci centi milli
Metric SystemNow let’s try our previous example from meters to kilometers:16093 meters = 16.093 kilometers
So for every “step” from the base unit to kilo, we moved the decimal 1 place to the left (the same direction as in the diagram below)
kilo hecto deca
meterliter
gram
deci centi milli
Metric SystemNow let’s start from centimeters and convert to kilometers
400000 centimeters = 4 kilometers
400000 centimeters = 4.00000 kilometers
kilo hecto deca
meterliter
gram
deci centi milli
Metric System
• Now let’s start from meters and convert to kilometers4000 meters = 4 kilometers
kilo hecto deca
meterliter
gram
deci centi milli
kilo hecto deca
meterliter
gram
deci centi milli
• Now let’s start from centimeters and convert to meters
4000 centimeters = 40 meters
Metric SystemNow let’s start from meters and convert to centimeters
5 meters = 500 centimeters
kilo hecto deca
meterliter
gram
deci centi milli
kilo hecto deca
meterliter
gram
deci centi milli
• Now let’s start from kilometers and convert to meters
0.3 kilometers = 300 meters
Metric SystemNow let’s start from kilometers and convert to millimeters
4 kilometers = 4000000 millimetersor
4 kilometers = 40 hectometers = 400 decameters = 4000 meters = 40000 decimeters = 400000 centimeters = 4000000 millimeters
kilo hecto deca
meterliter
gram
deci centi milli
Metric SystemSummary
Base units in the metric system are meter, liter, gramMetric system is based on powers of 10For conversions within the metric system, each “step” is 1
decimal place to the right or leftUsing the diagram below, converting to the right, moves the
decimal to the right and vice versa
kilo hecto deca
meterliter
gram
deci centi milli