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 16 / 115 1 12 yards = ______ ft 2 95 ft = ______ yds Slide 17 / 115 Slide 18 / 115 3 18 cups = _____ pints 4 6 gal = ______ pts
Slide 19 / 115 Slide 20 / 115 6 This morning, Tom ran 1.5 miles. 5 1.5 tons = ______ lbs How many feet did Tom run? Slide 21 / 115 Slide 22 / 115 7 If Tom ran 1.5 miles, how many inches did he run? 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 should she buy? Slide 23 / 115 Slide 24 / 115 9 Approximately how many 100-yd football fields are there 10 At the zoo, we saw bears eating honey from two jars. in a mile? 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 honey from his jar. How many fluid ounces of honey did A 5,280 the bears eat? B 1760 C 17.6
Slide 25 / 115 Slide 26 / 115 11 Tom has a water tank that holds 5 gallons of water. 12 Tom has a water tank that holds 5 gallons of water. Part A Part B Tom uses water from a full tank to full 6 boggles that Tom drinks 4 pints of water a day. each hold 16 ounces and a pitcher that holds 1/2 gallon. How many full tanks of water will he drink in 30 days? How many ounces of water are left in the water tank? 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 30 / 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 logs placed end to end. Number of m cm mm Base 10 Logs 10 2. Record the length in a table. (see table on next page.) 3. Measure the length a second time in mm. Record your measure in the table. 4. Measure the length a third time using the meter ruler. Record your measure in the table.
Slide 31 / 115 Slide 32 / 115 Comparing Units of Metric Measure Comparing Units of Metric Measure Fill in the blanks to describe the relationships that you find Describe any patterns you see. among the three metric units. To convert m to cm ___________ by ______. Number of m cm mm Base 10 To convert cm to m ___________ by ______. Logs 10 To convert cm to mm __________ by ______. To convert mm to cm __________ by ______. To convert m to mm ___________ by ______. To convert mm to m ___________ by ______. Slide 33 / 115 Slide 34 / 115 To convert measurements within the metric system, we multiply or divide by multiples of 10. Comparing Units of Metric Measure A gram is a base unit. To convert a gram to a milligram, hop down ___ steps. or ________ by ________. To step down, or convert to a smaller unit, you ______. (multiply/divide) To step up, or convert to a larger unit, you ______. Slide 35 / 115 Slide 36 / 115 Metric Conversion Match-Up Comparing Units of Metric Measure Think about this: A paperclip weighs one gram. So, imagine what could weigh one milligram.
Slide 37 / 115 Slide 38 / 115 13 .08 ml = _____ L 14 1,235,000 mm = _____ km Slide 39 / 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? Slide 41 / 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 No
Slide 43 / 115 Slide 44 / 115 19 How many 200 ml paper cups can be filled from a 2 liter 20 Rose needs 5 meters of fabric. The length of a fabric roll jug of lemonade? is 1,000 mm, and it costs $30. What is the total cost of the fabric that Rose needs too buy? A $150 B $1.50 C $5 D $5,000 Slide 45 / 115 Slide 46 / 115 21 Rose also needs 6 meters of rope. The length of a roll of 22 7 km 20 m = _______ m rope is 380 mm. How many rolls does Rose need to buy? Slide 47 / 115 Slide 48 / 115 23 Complete each conversion by dragging and dropping the correct number into each box. Unit Cubes 7 mm = cm 7 cm = m m = 7 mk Return to Table of Contents From PARCC EOY sample test #28
Slide 49 / 115 Slide 50 / 115 Unit Cubes 24 What would be the best unit to measure the volume of a Unit Cubes help us to measure volumes. cereal box? A cubic feet B cubic meters There are: C cubic centimeters cubic centimeters cubic inches D cubic miles cubic feet Slide 51 / 115 Slide 52 / 115 25 What would be the best unit to measure the volume of a 26 What would be the best unit to measure the volume of a classroom? desk drawer? A cubic miles A cubic yards B cubic centimeters B cubic inches C cubic inches C cubic meters D cubic meters D cubic millimeters Slide 53 / 115 Slide 54 / 115 27 What would be the best unit to measure the volume of a soccer ball? A cubic millimeters Volume of a Solid B cubic centimeters with Unit Cubes C cubic meters D cubic kilometers Return to Table of Contents
Slide 55 / 115 Slide 56 / 115 Volume of a Solid with Unit Cubes Volume of a Solid with Unit Cubes The total number of blocks used is the volume of the box. Blocks Problem This box is called a 3 Dimensional Figure (3-D). A 3-D figure has a length, width and a height. Morgan is helping his younger sister put away her alphabet blocks in a box. She has already put away one layer of blocks. It takes 15 blocks to make one layer. If the box is filled with 4 layers of blocks, without any gaps, how many blocks will be in the box? height Steps: width -Use unit cubes to model a layer that is 3 by 5 blocks. -Make 4 layers. length -How many total blocks did you use to make the model? Slide 57 / 115 Slide 58 / 115 Volume of a Solid with Unit Cubes Volume of a Solid with Unit Cubes All of these 3-D shapes are right rectangular prisms. base The 3-D shape also has a base. Slide 59 / 115 Slide 60 / 115 Volume of a Solid with Unit Cubes 28 Is this shape a right rectangular prism? List some 3-D shapes that are right Yes rectangular prisms in the classroom: No
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