http://www.hbschool.com/activity/con_math/g05c14.html
This game will help you practice the metric system!
Sparty
Thursday, December 9, 2010
Nonstandard Units of Length
Back before the metric system and English Units of measurement, there were the Nonstandard units of length. These units were used by major empires like the Babylonian empire and the Egyptian empire. The hand was used for almost all measurements. Today the only measurements we take with our hands is to find the height of a horse.
There are four basic units of measurement. There is the Span, Foot, Hand, and Cubit. The Span is the length from your pinky finger to your thumb. The Foot is the length from your heel to your big toe. The hand is simply the measure from one side of your hand to the other. Then there is the cubit which is simply the length from your elbow to the tips of your fingers.
There are four basic units of measurement. There is the Span, Foot, Hand, and Cubit. The Span is the length from your pinky finger to your thumb. The Foot is the length from your heel to your big toe. The hand is simply the measure from one side of your hand to the other. Then there is the cubit which is simply the length from your elbow to the tips of your fingers.
Surface Area
The definition for surface area is the number of unit squares needed to cover the surface. Surface area deals with totally different objects then area does and has different formulas too.
Surface Area of a Rectangle: 2lw + 2lh + 2wh
Surface Area of a Prism: 2 x area of base + 2 x height of base
Surface Area of a Cylinder: 2 x pie x radius x height + 2 x pie x radius (squared)
Surface Area of a Pyramid: It is simply the area of the base + the sum of all the areas of all the triangular faces.
Surface Area of a cone: Pie x Radius (squared) + pie x radius x the side
Surface Area of a circle: 4 x pie x radius (squared)
Those are all the formulas for surface area.
:)
Surface Area of a Rectangle: 2lw + 2lh + 2wh
Surface Area of a Prism: 2 x area of base + 2 x height of base
Surface Area of a Cylinder: 2 x pie x radius x height + 2 x pie x radius (squared)
Surface Area of a Pyramid: It is simply the area of the base + the sum of all the areas of all the triangular faces.
Surface Area of a cone: Pie x Radius (squared) + pie x radius x the side
Surface Area of a circle: 4 x pie x radius (squared)
Those are all the formulas for surface area.
:)
Finding the Volume
Finding the volume of a shape is a lot similar to finding the area because each shape has its own formula. According to dictionary.com volume is the amount of space, measured in cubic units, that an object or substance can take up.
Lets start by explaining how to find the volume of a square:
The formula is 4/3 x pie x radius squared.
Example:
If you have a circle with a radius of 2 your equation would be:
4/3 x pie x 2 squared
4/3 x pie x 4 = 16.8 cubic units
Then there is finding the volume for objects like a pyramid, rectangle, cylinder, and a cone. The formula for the volume of a pyramid is very simple. the formula is 1/3 x base x height. It is very similar to the area formula for a triangle. The formula for the volume of a cylinder is pie x radius squared x height. And then there is rectangle which is just length x width x height.
Lets try an example for a cone. The formula is very similar to the volume of a cylinder.
1/3 x pie x radius squared x height
So if we have a cone with a radius of 4 and a height of 8 the formula would look like this:
1/3 x pie x16 x 8
and it would equal 134.04 cubic units.
Lets start by explaining how to find the volume of a square:
The formula is 4/3 x pie x radius squared.
Example:
If you have a circle with a radius of 2 your equation would be:
4/3 x pie x 2 squared
4/3 x pie x 4 = 16.8 cubic units
Then there is finding the volume for objects like a pyramid, rectangle, cylinder, and a cone. The formula for the volume of a pyramid is very simple. the formula is 1/3 x base x height. It is very similar to the area formula for a triangle. The formula for the volume of a cylinder is pie x radius squared x height. And then there is rectangle which is just length x width x height.
Lets try an example for a cone. The formula is very similar to the volume of a cylinder.
1/3 x pie x radius squared x height
So if we have a cone with a radius of 4 and a height of 8 the formula would look like this:
1/3 x pie x16 x 8
and it would equal 134.04 cubic units.
Metric system ( aka the easy way)
The metric system in most peoples opinions is the a whole lot easier to work with then English units. All the units are measured in 10's. The basic units are the meter (length), gram ( weight), liter (volume), and Celsius (temperature). all these units (except temp.) share the same prefixes:
Kilo = 1000
hecto= 100
deka= 10
deci= 1/10
centi= 1/100
mili= 1/1000
So for length you would just add meter to the end of the prefixes. You would get units like the kilometer and the centimeter. These you units are much more easy to convert also. all you have to do is move the decimal place.
If you wanted to convert 2 meters to centimeters you would just move the decimal 2 places to the right. You would get 200 centimeters.
The temperature system is also so much more simple. Boiling 100 degrees C and freezing is 0 degrees C.
Kilo = 1000
hecto= 100
deka= 10
deci= 1/10
centi= 1/100
mili= 1/1000
So for length you would just add meter to the end of the prefixes. You would get units like the kilometer and the centimeter. These you units are much more easy to convert also. all you have to do is move the decimal place.
If you wanted to convert 2 meters to centimeters you would just move the decimal 2 places to the right. You would get 200 centimeters.
The temperature system is also so much more simple. Boiling 100 degrees C and freezing is 0 degrees C.
English Units
In measurement there are the English units and the metric system. Right now we are going to look at the English units. there are units of length, volume, weight, and temperature. The units of length consist of the inch, foot, yard, and mile. There are 12 inches in a foot and 2 feet in a yard. Also a mile is equal to 5280 feet. Using this information you can convert inches into miles or even miles into yards.
If you wanted to find how many yards where in 36 feet you would use the solution 36 /3 and you would get 12 yards.
Then there is volume. The English units for volume are the ounce, cup, pint, quart and gallon. There are 8 ounces in a cup, 2 cups in a pint, 2 pints in a quart and 4 quarts in a gallon.
Say you had 5 quarts and wanted to know how many cups you had. Well there are 2 pints in a quart. So 5 quarts x 2= 10 pints. Then there is 2 cups in a pint. So 10 pints x 2= 20 cups. That was easy enough.
Then there is weight and temperature. The English system uses ounces, pounds and tons. There are 16 ounces in a pound and 2,000 pounds in a ton. For temperature there is Fahrenheit. The units of measure are in degrees. The freezing point for Fahrenheit is 32 degrees and boiling is 212 degrees.
If you wanted to find how many yards where in 36 feet you would use the solution 36 /3 and you would get 12 yards.
Then there is volume. The English units for volume are the ounce, cup, pint, quart and gallon. There are 8 ounces in a cup, 2 cups in a pint, 2 pints in a quart and 4 quarts in a gallon.
Say you had 5 quarts and wanted to know how many cups you had. Well there are 2 pints in a quart. So 5 quarts x 2= 10 pints. Then there is 2 cups in a pint. So 10 pints x 2= 20 cups. That was easy enough.
Then there is weight and temperature. The English system uses ounces, pounds and tons. There are 16 ounces in a pound and 2,000 pounds in a ton. For temperature there is Fahrenheit. The units of measure are in degrees. The freezing point for Fahrenheit is 32 degrees and boiling is 212 degrees.
Wednesday, December 1, 2010
Area and Perimeter
Finding the perimeter is very simple. What you are trying to do when finding the perimeter is find the length of the sides. If you had a square with sides four units long you would add all the sides together and get:
4+4+4+4= 16
So the perimeter would be 16 units.
If you had a triangle with a base of 4 units and two sides with lengths of 2 units each you would add up the base and the sides.
4+2+2=8
The perimeter would be 8
Finding the area can be a little more tricky.
Lets start of with the Units of measurement for area. All units are squares. The most common english units are square inch, square foot, square yard, acre, and square mile. Then with the metric system there is the square centimeter, square meter, and square millimeter.
Each shape has a its own formula to find its area.
Area of a rectangle= Length x Width
Area of a parallelogram = Base x Height
Area of a triangle= 1/2 x Base x Height
Isn't Math Fun!!!! :)
4+4+4+4= 16
So the perimeter would be 16 units.
If you had a triangle with a base of 4 units and two sides with lengths of 2 units each you would add up the base and the sides.
4+2+2=8
The perimeter would be 8
Finding the area can be a little more tricky.
Lets start of with the Units of measurement for area. All units are squares. The most common english units are square inch, square foot, square yard, acre, and square mile. Then with the metric system there is the square centimeter, square meter, and square millimeter.
Each shape has a its own formula to find its area.
Area of a rectangle= Length x Width
Area of a parallelogram = Base x Height
Area of a triangle= 1/2 x Base x Height
Isn't Math Fun!!!! :)
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