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MEASUREMENT ( Elementary Algebra )
How large is a millimeter? The width of a pin
How large is a centimeter? The width of the top of your finger
How large is a meter? About the width of one & 1/2 doors 1 meter
How large is a kilometer? A little over 1/2 of a mile 1 kilometer Whitmore Walter White
How large is a milliliter? About a drop of liquid
How large is a liter? Half of a large pop bottle 1 liter
How heavy is a gram? A paper clip weighs about 1 gram
How heavy is a kilogram? A kitten weighs about 1 kilogram
How long is an inch? A quarter is about an inch wide 1 inch
How long is a foot? About the length of a clipboard 1 foot
How long is a yard? About the width of a door 1 yard
How long is a mile? Four times around a track
Converting Units kilograms grams centimetres litres kilometres metres Joanne Smithies  Our Lady & St. Gerards RCP
We use different metric units to measure :- Distance Weight Capacity We can use our knowledge of multiplying and dividing by 10, 100 or 1000 to change or convert measurements in one unit to  measurements in another unit.
We are going to use our knowledge about multiplying and dividing by 100 to convert centimetres to metres and to convert metres to centimetres.
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0 0 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0 0 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
Therefore:- 427cm = 4.27m ÷100 ÷100 ÷100 cm m H T U t h th 3 2 6 H T U t h th 3 2 6 H T U t h th 4 7 6 H T U t h th 1 6 5 3 H T U t h th 0 4 7 6 H T U t h th 1 6 5 3
354cm 15.4cm 779cm 52.4cm 939cm 395cm 25.8cm 3.54m 0.154m 7.79m 0.524m 9.39m 3.95m 0.258m ÷100 Convert from centimetres to metres
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m =  H T U t h th 3 5 1
To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = 351cm H T U t h th 3 5 1
5.4m 6.2m 12.7m 3m 7.6m 0.54m 0.3m 540cm 620cm 1270cm 300cm 760cm 54cm 30cm x100 Try changing these measurements in metres into centimetres
MEASUREMENT OF LENGTH
English vs. Metric Units Which is longer?  A.  1 mile or 1 kilometer B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers 1 mile 1 yard = 0.9444 meters 1 inch = 2.54 centimeters
Metric Units The basic unit of length in the metric system in the  meter  and is represented by a lowercase  m . Standard: The  distance  traveled by  light  in absolute vacuum in 1⁄299,792,458 of a second. Metric Units 1 Kilometer (km) = 1000 meters 1 Meter = 100 Centimeters (cm)  1 Meter = 1000 Millimeters (mm) m km cm mm Which is larger? Click the image to watch a short video about the meter. A. 1 meter or 105 centimeters B. 4 kilometers or 4400 meters C. 12 centimeters or 102 millimeters D. 1200 millimeters or 1 meter
Measuring Length How many millimeters are in 1 centimeter?  What is the length of the line in centimeters? _______cm What is the length of the line in millimeters? _______mm What is the length of the line to the  nearest  centimeter? ________cm HINT:  Round to the nearest centimeter – no decimals. 1 centimeter = 10 millimeters
MEASUREMENT OF VOLUME
English vs. Metric Units Which is larger?  A. 1 liter or 1 gallon B. 1 liter or 1 quart C. 1 milliliter or 1 fluid ounce 1 gallon = 3.79 liters It would take approximately 3 ¾ 1-liter bottles to equal a gallon. 1 fl oz = 29.573 ml 1 12-oz can of soda would equal approximately 355 ml. 1 quart = 0.946 liters
Metric Units Volume  is the amount of space an object takes up.  The base unit of volume in the metric system in the  liter  and is represented by  L or l . Standard: 1 liter is equal to one cubic  decimeter   Metric Units 1 liter (L) = 1000 milliliters (mL) 1 milliliter (mL) = 1 cm 3  (or cc) = 1 gram* L kL cL mL Which is larger? A. 1 liter or 1500 milliliters B. 200 milliliters or 1.2 liters C. 12 cm 3  or 1.2 milliliters*
Measuring Volume We will be using  graduated cylinders  to find the volume of liquids and other objects. Read the measurement based on the bottom of the  meniscus  or curve. When using a real cylinder, make sure you are eye-level with the level of the water. What is the volume of water in the cylinder? _____mL What causes the meniscus? A concave meniscus occurs when the molecules of the liquid attract those of the container.  The glass attracts the water on the sides.
Measuring Liquid Volume What is the volume of water in each cylinder?  A B C
Measuring Solid Volume We can measure the volume of regular object using the formula  length x width x height . _____ X _____ X _____ = _____ 10 cm 9 cm 8 cm http://resources.edb.gov.hk/~s1sci/R_S1Science/sp/en/syllabus/unit14/new/testingmain1.htm We can measure the volume of  irregular object using  water displacement .  Amount of H 2 O with object = ______ About of H 2 O without object = ______ Difference = Volume = ______
English vs. Metric Units Which is larger?  1.  1 Pound or 100 Grams 2. 1 Kilogram or 1 Pound 3. 1 Ounce or 1000 Milligrams 1 pound = 453.6 grams 100 kilogram =  220 pounds 1 ounce of gold = 28,349.5 milligrams
Metric Units Mass  refers to the amount of matter in an object. The base unit of mass in the metric system in the  kilogram  and is represented by  kg . Standard: 1 kilogram is equal to the mass of the  International Prototype Kilogram  (IPK), a platinum-iridium cylinder kept by the BIPM at Sèvres, France.  Metric Units 1 Kilogram (km) = 1000 Grams (g) 1 Gram (g) = 1000 Milligrams (mg) g kg cg mg Which is larger? A. 1 kilogram or 1500 grams B. 1200 milligrams or 1 gram C. 12 milligrams or 12 kilograms D. 4 kilograms or 4500 grams Kilogram Prototype
Measuring Mass We will be using  triple-beam balances  to find the mass of various objects. The objects are placed on the scale and then you move the weights on the beams until you get the lines on the right-side of the scale to match up. Once you have balanced the scale, you add up the amounts on each beam to find the total mass.  What would be the mass of the object measured in the picture?  _______ + ______ + _______ = ________ g
Measuring Mass – Triple-Beam Balance 5 th   – Add the amounts on each beam to find the total mass to the nearest tenth of a gram. 1 st  – Place the film canister on the scale. 2 nd  – Slide the large weight to the right until the arm drops below the line.  Move the rider back one groove.  Make sure it “locks” into place. 3 rd   – Repeat this process with the top weight.  When the arm moves below the line, back it up one groove. 4 th  – Slide the small weight on the front beam until the lines match up.
MEASURE OF TEMPERATURE
Degree Celsius- unit of measure for temperature ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
ILLUSTRATIVE EXAMPLE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Measurement PPT

  • 2. How large is a millimeter? The width of a pin
  • 3. How large is a centimeter? The width of the top of your finger
  • 4. How large is a meter? About the width of one & 1/2 doors 1 meter
  • 5. How large is a kilometer? A little over 1/2 of a mile 1 kilometer Whitmore Walter White
  • 6. How large is a milliliter? About a drop of liquid
  • 7. How large is a liter? Half of a large pop bottle 1 liter
  • 8. How heavy is a gram? A paper clip weighs about 1 gram
  • 9. How heavy is a kilogram? A kitten weighs about 1 kilogram
  • 10. How long is an inch? A quarter is about an inch wide 1 inch
  • 11. How long is a foot? About the length of a clipboard 1 foot
  • 12. How long is a yard? About the width of a door 1 yard
  • 13. How long is a mile? Four times around a track
  • 14. Converting Units kilograms grams centimetres litres kilometres metres Joanne Smithies Our Lady & St. Gerards RCP
  • 15. We use different metric units to measure :- Distance Weight Capacity We can use our knowledge of multiplying and dividing by 10, 100 or 1000 to change or convert measurements in one unit to measurements in another unit.
  • 16. We are going to use our knowledge about multiplying and dividing by 100 to convert centimetres to metres and to convert metres to centimetres.
  • 17. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0 0 0
  • 18. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0 0 0
  • 19. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0 0
  • 20. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
  • 21. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
  • 22. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
  • 23. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
  • 24. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
  • 25. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
  • 26. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
  • 27. There are 100 centimetres in 1 metre When we change from cm to m we divide by:- 100 Remember! When we divide by 100 the units move two places to the right. ÷100 This is how we change 427cm into metres:- H T U th hth th 4 2 7 0
  • 28. Therefore:- 427cm = 4.27m ÷100 ÷100 ÷100 cm m H T U t h th 3 2 6 H T U t h th 3 2 6 H T U t h th 4 7 6 H T U t h th 1 6 5 3 H T U t h th 0 4 7 6 H T U t h th 1 6 5 3
  • 29. 354cm 15.4cm 779cm 52.4cm 939cm 395cm 25.8cm 3.54m 0.154m 7.79m 0.524m 9.39m 3.95m 0.258m ÷100 Convert from centimetres to metres
  • 30. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 31. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 32. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 33. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 34. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 35. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 36. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 37. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 38. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 39. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = H T U t h th 3 5 1
  • 40. To change from metres to centimetres we MULTIPLY BY 100. REMEMBER When we multiply by 100 we move each digit two places to the left:- 3.51m = 351cm H T U t h th 3 5 1
  • 41. 5.4m 6.2m 12.7m 3m 7.6m 0.54m 0.3m 540cm 620cm 1270cm 300cm 760cm 54cm 30cm x100 Try changing these measurements in metres into centimetres
  • 43. English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers 1 mile 1 yard = 0.9444 meters 1 inch = 2.54 centimeters
  • 44. Metric Units The basic unit of length in the metric system in the meter and is represented by a lowercase m . Standard: The distance traveled by light in absolute vacuum in 1⁄299,792,458 of a second. Metric Units 1 Kilometer (km) = 1000 meters 1 Meter = 100 Centimeters (cm) 1 Meter = 1000 Millimeters (mm) m km cm mm Which is larger? Click the image to watch a short video about the meter. A. 1 meter or 105 centimeters B. 4 kilometers or 4400 meters C. 12 centimeters or 102 millimeters D. 1200 millimeters or 1 meter
  • 45. Measuring Length How many millimeters are in 1 centimeter? What is the length of the line in centimeters? _______cm What is the length of the line in millimeters? _______mm What is the length of the line to the nearest centimeter? ________cm HINT: Round to the nearest centimeter – no decimals. 1 centimeter = 10 millimeters
  • 47. English vs. Metric Units Which is larger? A. 1 liter or 1 gallon B. 1 liter or 1 quart C. 1 milliliter or 1 fluid ounce 1 gallon = 3.79 liters It would take approximately 3 ¾ 1-liter bottles to equal a gallon. 1 fl oz = 29.573 ml 1 12-oz can of soda would equal approximately 355 ml. 1 quart = 0.946 liters
  • 48. Metric Units Volume is the amount of space an object takes up. The base unit of volume in the metric system in the liter and is represented by L or l . Standard: 1 liter is equal to one cubic decimeter Metric Units 1 liter (L) = 1000 milliliters (mL) 1 milliliter (mL) = 1 cm 3 (or cc) = 1 gram* L kL cL mL Which is larger? A. 1 liter or 1500 milliliters B. 200 milliliters or 1.2 liters C. 12 cm 3 or 1.2 milliliters*
  • 49. Measuring Volume We will be using graduated cylinders to find the volume of liquids and other objects. Read the measurement based on the bottom of the meniscus or curve. When using a real cylinder, make sure you are eye-level with the level of the water. What is the volume of water in the cylinder? _____mL What causes the meniscus? A concave meniscus occurs when the molecules of the liquid attract those of the container. The glass attracts the water on the sides.
  • 50. Measuring Liquid Volume What is the volume of water in each cylinder? A B C
  • 51. Measuring Solid Volume We can measure the volume of regular object using the formula length x width x height . _____ X _____ X _____ = _____ 10 cm 9 cm 8 cm http://resources.edb.gov.hk/~s1sci/R_S1Science/sp/en/syllabus/unit14/new/testingmain1.htm We can measure the volume of irregular object using water displacement . Amount of H 2 O with object = ______ About of H 2 O without object = ______ Difference = Volume = ______
  • 52. English vs. Metric Units Which is larger? 1. 1 Pound or 100 Grams 2. 1 Kilogram or 1 Pound 3. 1 Ounce or 1000 Milligrams 1 pound = 453.6 grams 100 kilogram = 220 pounds 1 ounce of gold = 28,349.5 milligrams
  • 53. Metric Units Mass refers to the amount of matter in an object. The base unit of mass in the metric system in the kilogram and is represented by kg . Standard: 1 kilogram is equal to the mass of the International Prototype Kilogram (IPK), a platinum-iridium cylinder kept by the BIPM at Sèvres, France. Metric Units 1 Kilogram (km) = 1000 Grams (g) 1 Gram (g) = 1000 Milligrams (mg) g kg cg mg Which is larger? A. 1 kilogram or 1500 grams B. 1200 milligrams or 1 gram C. 12 milligrams or 12 kilograms D. 4 kilograms or 4500 grams Kilogram Prototype
  • 54. Measuring Mass We will be using triple-beam balances to find the mass of various objects. The objects are placed on the scale and then you move the weights on the beams until you get the lines on the right-side of the scale to match up. Once you have balanced the scale, you add up the amounts on each beam to find the total mass. What would be the mass of the object measured in the picture? _______ + ______ + _______ = ________ g
  • 55. Measuring Mass – Triple-Beam Balance 5 th – Add the amounts on each beam to find the total mass to the nearest tenth of a gram. 1 st – Place the film canister on the scale. 2 nd – Slide the large weight to the right until the arm drops below the line. Move the rider back one groove. Make sure it “locks” into place. 3 rd – Repeat this process with the top weight. When the arm moves below the line, back it up one groove. 4 th – Slide the small weight on the front beam until the lines match up.
  • 57.
  • 58.