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Monday, April 28, 2014

Monday, April 28, 2014. POTD 1. Which choice is equal to 1.3? 1 b) 1 3 3 100 c) 1 6 d) 13 100 10

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Monday, April 28, 2014

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  1. Monday, April 28, 2014 POTD 1. Which choice is equal to 1.3? • 1 b) 13 3 100 c) 16 d) 13 100 10 2. The sum of the interior angles of a triangle equals 180 degrees. If you have an isosceles right triangle and one angle that measures 90 degrees, what is the measure of the other two angles?

  2. 4.MD.14.MD.2

  3. In measurement problems, it is sometimes important to convert from one unit to another within a system. UNITS OF LENGTH Customary 12 inches = 1 foot 3 feet = 1 yard Metric 1,000 millimeters = 1 meter 100 centimeters = 1 meter 10 millimeters = 1 centimeter 1 kilometer = 1,000 meters

  4. Example:Convert to feet: 5 yards Solution:Since 3 feet equal 1 yard, multiply 5 times 3 to find how many feet are equal to 5 yards. 5 × 3 = 15 So, 15 feet are equal to 5 yards.

  5. UNITS OF CAPACITY Customary 8 fluid ounces = 1 cup 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon Metric 1,000 milliliters = 1 liter

  6. Example :Convert to cups: 8 pints Solution:Since 1 pint equals 2 cups, multiply 8 by 2 to find how many cups are equal to 8 pints. 8 × 2 = 16 So, 16 cups are equal to 8 pints.

  7. UNITS OF WEIGHT Customary 16 ounces = 1 pound Metric 1,000 milligrams = 1 gram 1,000 grams = 1 kilogram

  8. Example:Convert to ounces: 3 pounds Solution:Since 16 ounces equal 1 pound, multiply 3 times 16 to find how many ounces are equal to 3 pounds. 3 × 16 = 48 So, 48 ounces are equal to 3 pounds.

  9. UNITS OF TIME 12 months = 1 year 365 days = 1 year 7 days = 1 week 24 hours = 1 day 60 minutes = 1 hour 60 seconds = 1 minute

  10. Example:Convert to minutes: 4 hours Solution:Since 60 minutes equal 1 hour, multiply 4 times 60 to find how many minutes are equal to 4 hours. 4 × 60 = 240 So, 240 minutes are equal to 4 hours.

  11. In measurement problems, it is important to know how the sizes of units within a system compare to one another. Example:Gerry wants to know how much water his mop bucket holds. So, he filled a one-pint container of water and poured it into the bucket. It took 16 full one-pint containers to fill the bucket.If he had used a one-cup container, what would have happened?

  12. Solution:Since there are 2 cups in 1 pint, cups are smaller than pints. Therefore, it would have taken more containers to fill up the bucket.

  13. Example 2:Julio wants to know the distance from his room to the bathroom.Which length of rope should he use if he wants to use it the fewest number of times to measure the distance? A. one inchB. one footC. one yardD. It would take the same amount of times with any length of rope.

  14. Solution:One yard is longer than one foot and one inch. Therefore, he would need to use the one-yard piece of rope the fewest number of times.

  15. Example 3:Lillian measured her purse to weigh 16 pounds. What would happen to the number of units if she measured her purse in ounces?

  16. Solution:One ounce is smaller than one pound. Since the units are smaller, there would be more units.

  17. Length Length tells how long an object is or the distance between two objects. Example 1: Harold and John took turns flipping coins up in the air. Harold's coin went 1.1 meters into the air, and John's coin went 1.5 meters into the air. How much farther did John's coin go into the air than Harold's coin?

  18. Solution: Since the problem is making a comparison, use subtraction to find how much farther John's coin went into the air than Harold's coin. 1.5 meters - 1.1 meters = 0.4 meters So, John's coin went 0.4 meters farther into the air than Harold's coin.

  19. Example 2: Ginny has a piece of string that measures 1/5 of a foot. Rachael has a string that measures 3 times as long as Ginny's string. How long is Rachael's string?

  20. Solution: Since Rachael's string is 3 times as long as Ginny's, use multiplication to find the total length of Rachael's string. So, Rachael's string is 3/5 of a foot long.

  21. Mass Mass tells how much matter an object is made of. Example 3: The mass of a cupcake is 96 grams. If the cupcake is cut into 4 equal slices, what will be the mass of one slice?

  22. Solution: Divide the number of grams in one cupcake, 96, by the number of slices to find the mass of one slice. 96 grams ÷ 4 slices = 24 grams per slices So, one slice will measure 24 grams.

  23. Capacity Capacity tells how much an object can hold. Rodney mixed 7/3 liters of water with 1/3 liters of fruit juice. How much liquid did he have in all?

  24. Since the question is looking for how many liters he has in all, use addition to solve. So, Rodney has 8/3 liters of liquid in all. Simplify your answer 

  25. When measuring length, use tools such as a ruler or a yardstick. What is the length of the wallet in millimeters?

  26. Solution: Note that centimeters are along the top of the ruler. The smaller marks between the centimeters are millimeters and there are 10 of them between each centimeter. Line up the left end of the object with the left end of the ruler, 0 millimeters. The right end of the wallet is at 67 millimeters on the ruler. So, the length of the wallet is 67 millimeters.

  27. Example The scale below measures weight in kilograms.How much do the books weigh in grams?

  28. Solution The scale measures weight in kilograms, and the needle on the scale is pointing to the "2", so the books weigh 2 kilograms. There are 1,000 grams in a kilogram, so 2 x1000= 2,000 grams.

  29. The scale below measures weight in pounds.How much does the porcupine weigh in ounces?

  30. Solution The scale measures weight in pounds, and the needle on the scale is pointing to the "6", so the porcupine weights 6 pounds. There are 16 ounces in a pound. 16 x 6 = 96 ounces. So, the porcupine weighs 96 ounces.

  31. The short hand points to the hour.The long hand points to the minute. Look at the clock below. The long hand is pointing to the 1, so it is 5 minutes past the hour.The short hand is between 7 and 8, so the hour is 7. The clock below reads 7:05

  32. Elapsed Time Elapsed time is how much time has passed.It is the difference from one point in time to another point in time. Example 1: Look at the 2 clocks below. The clock on the left shows the time an event started. The clock on the right shows what time the event ended. How much time has elapsed?

  33. Solution: The start time is 3:35. The end time is 4:50. The elapsed time from 3:35 to 4:35 is 1 hour. The elapsed time from 4:35 to 4:50 can be found by subtracting 35 minutes from 50 minutes. 50 minutes - 35 minutes = 15 minutes. So, the elapsed time is 1 hour and 15 minutes.

  34. Example 2: Debbie went to the mall at 3:15. She stayed at the mall for one and a half hours. What time did she leave the mall?

  35. Solution: Figure out the time she left the mall by adding together the minutes and the hours. One and a half hours is 1 hour and 30 minutes. Add the minutes first. Next, add the hour. So, Debbie left the mall at 4:45.

  36. Example 3: Marcy started working on her math homework at 3:35. She finished working on her math homework at 4:50. How long did it take Marcy to finish her math homework?

  37. Solution: Marcy started working on her math homework at 3:35. This is the same as 25 minutes before 4:00. She finished her math homework at 4:50. Add 25 minutes to 50 minutes. 25 minutes + 50 minutes = 75 minutes Since 60 minutes equals one hour, subtract 60 minutes from 75 minutes. 75 minutes - 60 minutes = 15 minutes It took Marcy 1 hour and 15 minutes to finish her math homework.

  38. Example 6: Betty spends 0.75 hour running each day. How many hours does Betty spend running over 7 days?

  39. Solution: To find how many hours Betty ran in 7 days, multiply. So, Betty spent 5.25 hours running over 7 days.

  40. Money EXAMPLES OF U.S. CURRENCY Penny (1¢ or $0.01) (one-hundredth of a dollar 1/100 = 0.01)Nickel (5¢ or $0.05)Dime (10¢ or $0.10) (one-tenth of a dollar 1/10 = 0.1)Quarter (25¢ or $0.25)One Dollar bill ($1.00)Five Dollar bill ($5.00)Ten Dollar bill ($10.00)Twenty Dollar bill ($20.00)

  41. Example Mark bought a new CD for $13.37. If Mark gave the clerk a $20 bill, what is his change, and what kind of change could he get back?

  42. Solution To figure out how much change he will receive, subtract the cost of the CD from $20.00. $20.00 - $13.37 = $6.63 Next, figure out what kind of bills and coins he could receive.First, he could receive 1 five-dollar bill and 1 one-dollar bill.For coins, because $0.63 is over $0.50, but under $0.75, he could receive 2 quarters, which leaves $0.13.He could receive 1 dime, which leaves $0.03. Since $0.03 is all that is left, he will receive 3 pennies. So, his change could be 1 five-dollar bill, 1 one-dollar bill, 2 quarters, 1 dime, and 3 pennies.

  43. Extra Practice Charlie and his 10 friends are planning for a pizza part. They purchased 3 quarts of milk. If each glass holds 8oz will everyone get at least one glass of milk?

  44. Solution: 11 people x 8 ounces= 88 total ounces 1 quart= 2 pints = 4 cups= 32 ounces Therefore, 1 quart = 2 pints= 4 cups = 32 ounces 2 quarts= 4 pints= 8 cups= 64 ounces 3 quarts= 6 pints= 12 cups = 96 ounces If Charlie purchased 3 Quarts (6 pints) of milk, there would be enough for everyone at his part to have at least one glass of milk. IF each person drank 1 glass then he would have 1- 8 ounce glass left over.

  45. Susan has 2 feet of ribbon. She wants to give her ribbon to her 3 best friends so each friend gets the same amount. How much ribbon will each friend get?

  46. Solution: The answer would be 2/3 of a foot or 8 inches 1/3 of a foot is 4 inches and 2/3 of a foot is 2 groups of 1/3

  47. Mason ran for an hour and 15 minutes on Monday, 25 minutes on Tuesday, and 40 minutes on Wednesday. What is the total number of minutes Mason ran? A pound of apples cost $1.20. Rachel bought a pound and half of apples. If she gave the clerk a $5.00 bill, how much change will she get back? Mario and his two brothers are selling lemonade. Mario bought one and half liters, Javier bought 2 liters, and Ernesto brought 450 milliliters. How many total milliliters of lemonade did the boys have?

  48. Core/Workshop

  49. Tuesday, April 29, 2014 1. Samantha measured the classroom at 15 yards. How many INCHES is the classroom? 2. How many lines of symmetry does a regular hexagon have?

  50. Homework Review

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