Slide 1 / 115 Slide 2 / 115 5th Grade Measurement & Data 2015-11-23 www.njctl.org Slide 3 / 115 Slide 4 / 115 Table of Contents click on the topic to go to that section Standard Measurement Conversions · Standard Metric Measurement Conversions · Measurement Conversions · Unit Cubes · Volume of a Solid with Unit Cubes · Volume Problem Solving Return to Table of Contents Slide 5 / 115 Slide 6 / 115 Conversion Chart Students will need access to a conversion chart for the next two sections.
Slide 7 / 115 Slide 8 / 115 Standard Measurement Cups and Pints Standard Measurement System (US Customary) Converting From One Unit of Measurement to Another There are 2 cups in every pint. What happens if you are given a + = measurement in one unit, but need to use it in another? 1 cup 1 cup 1 pint For example, you are baking cupcakes, and the recipe calls for 4 cups of oil. The bottle of oil says that it contains 3 pints. How do you know if you have enough oil? In order to find out, you would need to do something called converting. You need to convert the unit of cups to the unit of pints. Slide 9 / 115 Slide 10 / 115 Cups and Pints Converting Measurement When converting measurements, use your arms to help you. So how many cups are there in 3 pints? We can spread our arms We can fold our arms out wide to show that in a hug to show that = + something is bigger. something is smaller. 1 cup 1 cup 1 pint + = 1 cup 1 cup 1 pint To convert a smaller unit to To convert a larger unit to a + = a larger unit, we divide the smaller unit, we multiply the 3 pints amount. amount. 1 cup 1 cup 1 pint 2 cups x 3 pints = 6 cups in 3 pints Slide 11 / 115 Slide 12 / 115 Conversions Conversions Troy has 6 popsicles that are 5 in long Another example: each. If he places them all in a line, how many feet would they be? I bought a set of 4 glasses from the market. A glass weighs 8 ounces. How many pounds does the set weigh? + + + + + 5 in 5 in 5 in 5 in 5 in 5 in = 30 in Find the total ounces: ___ oz x __ glasses = ___ oz. How many feet are 30 in? We are going from ounces to pounds so we are converting We are going from inches to feet, so we are a smaller unit to a larger unit. converting a smaller unit to a larger unit. Therefore, we need to ________. Therefore, we need to ________. _____ ___ lbs = 32 oz _____ = ___ ft ___ in X or 30 in X or (# of oz in a lb) (# of inches in a foot)
Slide 13 / 115 Slide 14 / 115 Standard Conversions Match-Up Fractional Measurements How can we write measurements using fractions? Think about what half a foot is in inches. If a foot is 12 in, then 1/2 a foot 12 ÷ 2. So, half a foot is 6 in. How many inches is a foot and a half? A foot and a half is 12 x 1.5. So, a foot and a half is 18 in. How many feet are there in 30 inches? 30 ÷ 12 = 2.5 So, there are 2 1/2 feet in 30 inches. Slide 15 / 115 Slide 15 (Answer) / 115 1 12 yards = ______ ft 1 12 yards = ______ ft Answer 3 ft [This object is a pull tab] Slide 16 / 115 Slide 16 (Answer) / 115 2 95 ft = ______ yds 2 95 ft = ______ yds Answer 31 yds 2 ft [This object is a pull tab]
Slide 17 / 115 Slide 17 (Answer) / 115 3 18 cups = _____ pints 3 18 cups = _____ pints Answer 9 pints [This object is a pull tab] Slide 18 / 115 Slide 18 (Answer) / 115 4 6 gal = ______ pts 4 6 gal = ______ pts Answer 48 pts [This object is a pull tab] Slide 19 / 115 Slide 19 (Answer) / 115 5 1.5 tons = ______ lbs 5 1.5 tons = ______ lbs Answer 3000 lbs [This object is a pull tab]
Slide 20 / 115 Slide 20 (Answer) / 115 6 This morning, Tom ran 1.5 miles. 6 This morning, Tom ran 1.5 miles. How many feet did Tom run? How many feet did Tom run? Answer 7920 ft [This object is a pull tab] Slide 21 / 115 Slide 21 (Answer) / 115 7 If Tom ran 1.5 miles, how many inches did he run? 7 If Tom ran 1.5 miles, how many inches did he run? Answer 95,040 in [This object is a pull tab] Slide 22 / 115 Slide 22 (Answer) / 115 8 Marie is buying yarn to make a blanket. The yarn comes 8 Marie is buying yarn to make a blanket. The yarn comes in 4 feet rolls. She needs 8 yards of yarn. How many rolls in 4 feet rolls. She needs 8 yards of yarn. How many rolls should she buy? should she buy? Answer 6 rolls [This object is a pull tab]
Slide 23 / 115 Slide 23 (Answer) / 115 9 Approximately how many 100-yd football fields are there 9 Approximately how many 100-yd football fields are there in a mile? in a mile? A 5,280 A 5,280 Answer B 1760 B 1760 C C 17.6 C 17.6 [This object is a pull tab] Slide 24 / 115 Slide 24 (Answer) / 115 10 At the zoo, we saw bears eating honey from two jars. 10 At the zoo, we saw bears eating honey from two jars. Each jar contains one cup of honey. One bear ate 1/2 of Each jar contains one cup of honey. One bear ate 1/2 of the honey in the first jar. Another bear ate only 1/4 of the the honey in the first jar. Another bear ate only 1/4 of the honey from his jar. How many fluid ounces of honey did honey from his jar. How many fluid ounces of honey did the bears eat? the bears eat? Answer 6 oz [This object is a pull tab] Slide 25 / 115 Slide 25 (Answer) / 115 11 Tom has a water tank that holds 5 gallons of water. 11 Tom has a water tank that holds 5 gallons of water. Part A Part A Tom uses water from a full tank to full 6 boggles that Tom uses water from a full tank to full 6 boggles that each hold 16 ounces and a pitcher that holds 1/2 gallon. each hold 16 ounces and a pitcher that holds 1/2 gallon. How many ounces of water are left in the water tank? How many ounces of water are left in the water tank? Answer 480 ounces [This object is a pull tab] From PARCC EOY sample test #5 From PARCC EOY sample test #5
Slide 26 / 115 Slide 26 (Answer) / 115 12 Tom has a water tank that holds 5 gallons of water. 12 Tom has a water tank that holds 5 gallons of water. Part B Part B Tom drinks 4 pints of water a day. Tom drinks 4 pints of water a day. How many full tanks of water will he drink in 30 days? How many full tanks of water will he drink in 30 days? Answer 3 [This object is a pull tab] From PARCC EOY sample test #5 From PARCC EOY sample test #5 Slide 27 / 115 Slide 28 / 115 Metric Measurement Conversions Return to Table of Contents Slide 29 / 115 Slide 29 (Answer) / 115 Comparing Units of Metric Measure Comparing Units of Metric Measure 1. Work with a partner. Measure the length in cm of ten Base 10 1. Work with a partner. Measure the length in cm of ten Base 10 logs placed end to end. logs placed end to end. Teacher Notes Materials for each group: Ten base 10 logs · Ruler with cm and mm · 2. Record the length in a table. (see table on next page.) 2. Record the length in a table. (see table on next page.) measures 3. Measure the length a second time in mm. Record your 3. Measure the length a second time in mm. Record your meter ruler · measure in the table. measure in the table. 4. Measure the length a third time using the meter ruler. Record 4. Measure the length a third time using the meter ruler. Record [This object is a pull tab] your measure in the table. your measure in the table.
Slide 30 / 115 Slide 31 / 115 Comparing Units of Metric Measure Comparing Units of Metric Measure Describe any patterns you see. Number of m cm mm Base 10 Number of Logs m cm mm Base 10 10 Logs 10 Slide 32 / 115 Slide 33 / 115 To convert measurements within the metric system, we multiply or Comparing Units of Metric Measure divide by multiples of 10. Fill in the blanks to describe the relationships that you find among the three metric units. To convert m to cm ___________ by ______. To convert cm to m ___________ by ______. To convert cm to mm __________ by ______. To convert mm to cm __________ by ______. To convert m to mm ___________ by ______. To step down, or convert to a smaller unit, you ______. To convert mm to m ___________ by ______. To step up, or convert to a larger unit, you ______. Slide 34 / 115 Slide 35 / 115 Comparing Units of Metric Measure Comparing Units of Metric Measure Think about this: A gram is a base unit. To convert a gram to a milligram, hop down ___ steps. or A paperclip weighs one gram. ________ by ________. (multiply/divide) So, imagine what could weigh one milligram.
Slide 36 / 115 Slide 37 / 115 Metric Conversion Match-Up 13 .08 ml = _____ L Slide 37 (Answer) / 115 Slide 38 / 115 13 .08 ml = _____ L 14 1,235,000 mm = _____ km Answer 80 L [This object is a pull tab] Slide 38 (Answer) / 115 Slide 39 / 115 14 1,235,000 mm = _____ km 15 .053 kg = ____ mg Answer 1,235 km [This object is a pull tab]
Slide 39 (Answer) / 115 Slide 40 / 115 15 .053 kg = ____ mg 16 Each morning Paul rides 500 m on an exercise bike. How many kilometers does he ride in one week? Answer 53,000 mg [This object is a pull tab] Slide 40 (Answer) / 115 Slide 41 / 115 16 Each morning Paul rides 500 m on an exercise bike. How 17 A kitten weighs 500 g. A puppy weighs 2 kg. Freddy says many kilometers does he ride in one week? that the puppy weighs more. Is Freddy correct? Yes Answer 3.5 km No [This object is a pull tab] Slide 41 (Answer) / 115 Slide 42 / 115 17 A kitten weighs 500 g. A puppy weighs 2 kg. Freddy says 18 I make 2.5 kg of popcorn, and I eat 450 g of it while that the puppy weighs more. Is Freddy correct? watching a movie. How much popcorn is left? Yes Answer No Yes [This object is a pull tab]
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