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Math Grade 4

Math Grade 4. Mrs. Ennis Metric Units of Measurement Lesson Thirty. 348 + 506 + S = 1124 H – 3549 = 2,474 24 ÷ 6 = G 42 x L = 168 8 x D = 48 Name the next 3 numbers: 11, 22, 33, 44, _____, _____, _____. 7. Which figure has more vertices? Hexagon or Square

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Math Grade 4

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  1. MathGrade 4 Mrs. Ennis Metric Units of Measurement Lesson Thirty

  2. 348 + 506 + S = 1124 H – 3549 = 2,474 24 ÷ 6 = G 42 x L = 168 8 x D = 48 Name the next 3 numbers: 11, 22, 33, 44, _____, _____, _____

  3. 7. Which figure has more vertices? Hexagon or Square 8. Write in standard form: 400 + 7,000,000 + 1,000 + 2 9. Sheila said, “I lost 2 coins. I had $5.96. Now I only have 1 five-dollar bill, 2 quarters, 2 dimes, 1 nickel and 1 penny.” What coins did she lose?

  4. 10. One package of hamburger buns for 8 burgers. How many packages of rolls do you need for 28 burgers?

  5. Metric Units of Measurement

  6. Metric System • The metric system is based on a base unit that corresponds to a certain kind of measurement • Length = meter • Volume = liter • Weight (Mass) = gram

  7. length is measured in meters • a football field

  8. length is measured in meters • Distance to the neighbor’s house

  9. length is measured in meters • length of a spool of twine

  10. length is measured in meters • width of your bedroom

  11. mass is measured in grams • weight of a bunch of grapes

  12. mass is measured in grams • weight of a your dog

  13. mass is measured in grams • weight of a bar of gold

  14. volume is measured in liters • a beaker of solution

  15. volume is measured in liters • a bottle of water

  16. volume is measured in liters • paint in a bucket

  17. Metric System • Prefixes plus base units make up the metric system • Example: • Centi + meter = Centimeter • Kilo + liter = Kiloliter • Milli + gram = Milligram

  18. Metric System • So if you needed to measure length you would choose meter as your base unit • Length of a tree branch • 1.5 meters • Length of a room • 5 meters • Length of a soccer field • 100 meters

  19. Metric System • But what if you need to measure a longer distance, like from your house to school?

  20. Let’s say you live approximately 10 miles from school • 10 miles = 16093 meters • 16093 is a big number, but what if you could add a prefix onto the base unit to make it easier to manage: • 16093 meters = • 16.093 kilometers (or 16.1 if rounded to 1 decimal place)

  21. Metric System • These prefixes are based on powers of 10. What does this mean?

  22. From each prefix every “step” is either: • 10 times larger or • 10 times smaller • For example • Centimeters are 10 times larger than millimeters • 1 centimeter = 10 millimeters

  23. Metric System Centimeters are 10 times larger than millimeters so it takes more millimeters for the same length 1 centimeter = 10 millimeters Example not to scale

  24. Metric System • For each “step” to right, you are multiplying by 10 • For each “step” to the left, you are dividing by 10

  25. The Story of King Henry

  26. Once upon a time in a faraway land there lived a king who loved chocolate milk. His name was King Henry.

  27. Throughout his kingdom, King Henry made sure that all of the cows were fed great supplies of chocolate to continue to provide him with his beloved chocolate milk drink.

  28. King Henry drank chocolate milk with his breakfast. He drank chocolate milk with his lunch. He drank chocolate milk with his dinner. He even drank chocolate milk for his bedtime snack. King Henry drank chocolate milk by the liters!

  29. King Henry wanted all living creatures in his kingdom to enjoy chocolate milk as much as he did. However, a liter was not the best serving size for every creature. The Royal Carpenter was called for and the command was given for new serving vessels to be created to fit every creature in the kingdom.

  30. For the creatures smaller than the king, the Royal Carpenter designed deciliters that were 1/10th the size of a liter, centiliters that were 1/100th the size of a liter, and milliliters that were 1/1000th the size of a liter. The milliliters were just right for the Royal Beetles and Bugs of the kingdom.

  31. For the creatures greater than the king, the Royal Carpenter designed dekaliters that were 10 times the size of a liter, hectoliters that were 100 times the size of a liter, and kiloliters that were 1000 times the size of a liter. The kiloliters were just right for the Royal Elephants of the kingdom.

  32. The Royal Carpenter lined the vessels up in his workroom from largest to smallest to show the king. The king’s vessel was in the center of the line, for the king was the center of the kingdom. The vessels were arranged in the following order: kiloliter, hectoliter, dekaliter, Liter, deciliter, centiliter, milliliter

  33. King Henry loved the new vessels. The Carpenter explained that the sizes increased and decreased from the king’s liter, by multiples of ten. He told him how to convert between the sizes by multiplying or dividing by ten. The king wondered how he would remember the order of the vessels.

  34. The Royal Carpenter said, “I remember the order by saying ‘King Henry Does Usually Drink Chocolate Milk’ and then I have no problem remembering the order.” “That is exactly right!” said King Henry. “Now I shall remember the sizes of the vessels!” He took another big drink of chocolate milk and …

  35. Died.

  36. Metric Conversion Mnumonic • King (kilo, 1,000) • Henry (hecto, 100) • Died (deka, 10) • Unexpectedly (Unit- 1 l, m, g) • Drinking (deci 1/10) • Chocolate (centi 1/100) • Milk (milli, 1/1,000)

  37. To convert to a smaller unit, move decimal point to the right or multiply. Meter, Gram, Liter KILO1000 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 To convert to a larger unit, move decimal point to the left or divide. MILLI0.001

  38. How do you use the “ladder” method? 1st – Determine your starting point. 2nd – Count the “jumps” to your ending point. 3rd – Move the decimal the same number of jumps in the same direction.

  39. 1 Starting Point Ending Point 2 4.0 km = 4000.0 m KILO1000 3 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 MILLI0.001 4000 4 km = _________ m How many jumps does it take?

  40. 1 Starting Point Ending Point 2 45.0 g = 45000.0 mg KILO1000 3 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 MILLI0.001 45000 45 g = _________ mg How many jumps does it take?

  41. 1 Starting Point Ending Point 2 3000.0 l = 30.0 hl KILO1000 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 MILLI0.001 30 3000 l = _________ hl How many jumps does it take?

  42. 1 Starting Point Ending Point 500.0 m= 50000.0 cm 2 KILO1000 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 MILLI0.001 50,000 500 m = _________ cm How many jumps does it take?

  43. Try these on your own: 1 1000 mg = _______ g 1 l = _______ ml 160 cm = _______ mm 14 km = _______ m 109 g = _______ kg 250 m = _______ km 1000 1600 14000 .109 .250

  44. Online Practice Metric Pop-ups Metric Problem Solver

  45. Math Fun: Anthony and Amelia spent a total of two hours putting up notices for their neighborhood talent show. They posted notices all over town. Amelia worked three times as long as Anthony putting up signs. How long did each of them work?

  46. Answer: Anthony 1/2 hour Amelia 1 1/2 hours Divide 2 hours into 4 parts (3 for Amelia and 1 for Anthony) of 30 minutes each. Anthony worked 30 minutes (1/2 hour) and Amelia worked 3 x 30 minutes or 1 1/2 hours

  47. Resources: http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf • http://math.pppst.com/metrics.html • http://www.quia.com/pop/29582.html?AP_rand=1368403958 • http://www.quia.com/pop/29764.html?AP_rand=94926342 • http://www.quia.com/cm/8967.html?AP_rand=952795641

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