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Fourth Grade
Measurement and Data
2015-11-23 www.njctl.org
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· Line Plots · Conversion of Measurements · Problem Solving
Click on a topic to go to that section
· Measurement Systems
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SLIDE 2 Line Plots
Return to Table
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1 2 Place these fractions on the number line 1 2 3 4 1 4 1 2 1 2 1 3 4
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1 2 Place these fractions on the number line 1 2 3 4 1 4 1 2 1 2 1 3 4
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Teacher Notes
Have students come up and write the remaining fractions
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SLIDE 3
When placing numbers and/or fractions it is important to see how the number line is divided. They will not always be the same! 1 1 2 2 3 3 5 4 What number would be between the whole numbers? What number would be between these whole numbers?
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1 What number is missing? 3 ? 2 1
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2 Which number correctly represents the red dot? A B C 1 2
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SLIDE 4 3 Which number correctly represents the red dot? A B C 1 4 2 3
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A line plot is a number line with marks that show the frequency of data. Example:
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x x x x x x x x x x x x x x x x x x x x x x x Length of Girls Hair in Inches
7
x The count of "x" marks above each score represents the number of girls who have that length hair.
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3 4 5 6 2
x x x x x x x x x x x x x x x x x x x x x x x
7
x Length of Girls Hair in Inches What is the length represented by the red dot? How many girls have that length of hair?
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SLIDE 5 4 What is the hair length that is represented by the red dot?
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x x x x x x x x x x x x x x x x x x x x x x x Length of Girls Hair in Inches
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x
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5 How many girls have hair that is inches in length?
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x x x x x x x x x x x x x x x x x x x x x x x Length of Girls Hair in Inches
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x
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6 What length of hair do the most girls have?
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x x x x x x x x x x x x x x x x x x x x x x x Length of Girls Hair in Inches
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x
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SLIDE 6
Use the following line plot to answer the next three questions. Length in inches of specimens in an insect collection. x x x x x x x x x x
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7 What is the length of the most common insect in the collection?
Length in inches of specimens in an insect collection. x x x x x x x x x x
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8 What is the length of the least common insect in the collection?
Length in inches of specimens in an insect collection. x x x x x x x x x x
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SLIDE 7 9 What is the difference between the longest and shortest insect in the collection?
Length in inches of specimens in an insect collection. x x x x x x x x x x
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10 If all of the insects were lined up end to end, what would the total length be?
Length in inches of specimens in an insect collection. x x x x x x x x x x
Slide 19 / 100 Measurement Systems
· Time · Length · Weight · Capacity · Temperature
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SLIDE 8 You can measure different objects in different ways For example, think
- f a truck. If the truck were driving on a highway and had to pass under
a bridge, you would want to measure the truck's height to make sure it would fit. If you wanted to know how much gas the tank of the truck would hold, you would want to measure the capacity of the gas tank. If the truck were going over a bridge with a weight limit, you would want to measure the truck's weight to make sure that it wasn't too heavy.
REMOVE REMOVE REMOVE
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Units of measurement needed to know how to tell time. 1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours
Time Slide 22 / 100
11 Laurie was walking home from her friend's house. She figured it would take her 1 hour 15 mins. to reach her house from now. What time will it be? A 5:00 B 5:15 C 5:30 D 5:45
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SLIDE 9 12 Sara arrived at the video arcade at 2:55 P.M. She left the arcade at 4:45 P.M. How long was she at the arcade? A 1 hour 50 minutes B 1 hour 55 minutes C 2 hours 10 mins D 2 hours 40 minutes
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13 Bess left her house at 11:30 A.M. and arrived at her grandmother's house at 12:20 P.M. How many minutes did Bess take?
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14 Mike's basketball game starts at the time shown
- n the clock. Mike's coach wants the team to
arrive at the gym 30 minutes before the game
- starts. It takes Mike 20 minutes to ride his bike
from his house to the gym. What is the latest time Mike can leave home and still arrive at the gym when his coach wants him to? A 4:15 B 4:20 C 4:30 D 4:45
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SLIDE 10 Sometimes it is helpful to use a number line to help solve problems involving time. School ends at 3:10 pm. It takes Violet 15 minutes to get home on the bus. Then she spends 25 minutes doing her
- homework. When she is done her homework she can
play video games until her mom gets home at 4:30 pm. How many minutes does she have to play video games? 3:00 3:15 3:30 3:45 4:00 4:15 4:30 Start E n d
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School ends at 3:10 pm. It takes Violet 15 minutes to get home on the bus. Then she spends 25 minutes doing her
- homework. When she is done her homework she can play
video games until her mom gets home at 4:30 pm. How many minutes does she have to play video games? 3:00 3:15 3:30 3:45 4:00 4:15 4:30 Start E n d Homework Video Games Answer Bus Ride
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15 On Saturday Sean wakes up at 8 AM. He takes 15 minutes to eat breakfast, 20 minutes to shower and get dressed and 10 minutes to straighten up his room. He needs to go shopping with his dad at 9:15. How many minutes does he have before he needs to leave to read a book?
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SLIDE 11 16 Mr. Fields has a break during teaching from 10:10 until 10:52. He spends 14 minutes making copies and 13 minutes talking to the guidance counselor. How many minutes does he have left to make a parent phone call?
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17 Music class is from 11:43 to 12:18. Once the lesson is finished the students can play the drums with any remaining time. For the lesson students spend 7 minutes getting the instructions, 5 minutes reading and 14 minutes completing the
- activity. How many minutes are left for them to
play the drums?
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1 week = 7 days 1 year = 52 weeks 1 year = 12 months 1 year = 365 days 1 decade = 10 years
Units of Measurement for a Calendar Slide 32 / 100
SLIDE 12 18 Mrs. Smith spends 3 hours each Wednesday riding her horse, How many hours did she spend riding in January of 2013? A 6 hours B 9 hours C 12 hours D 15 hours
January 2013
Sunday Monday Tuesday Wednesday Thursday Friday Saturday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
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19 What is the fifth month of the year? A April B March C June D May
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20 How many months are in 4 years?
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SLIDE 13 21 Hiram's grandfather visited in November. He is visiting again in 4 months. Which month will he come? A July B March C April D February
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22 Jasmine is going on vacation in April. It is now
- October. How many months does she need to wait
for vacation?
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The most commonly used metric units of length are millimeter , centimeter , meter, and kilometer . 1 millimeter (mm) The thickness of a penny is about 1 millimeter. about 1 mm
Length - Metric System Slide 38 / 100
SLIDE 14 1 centimeter (CM) = 10 mm The width of a large paper clip is about 1 centimeter. about 1 cm 1 meter (m) = 100 cm The length of a major league baseball bat is about 1 meter. about 1 m
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1 kilometer (km) = 1,000 m Most people can walk 1 kilometer in about 15 minutes.
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23 The best metric unit to measure the thickness
- f a workbook is kilometer.
True False
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24 What would be the correct metric unit that would be best to measure a basketball court? A millimeter B centimeter C meter D kilometer
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25 Which can be measured in meters? A weight of an orange B amount of milk in a glass C length of a car D the heat of an oven
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26 Which can be measured in kilometers? A pen B distance from Atlantic City to Philadelphia C top of a table D length of soccer field
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SLIDE 16 27 Which can be measure in centimeters? A width of a cereal box B weight of a baby C length of hallway D amount of milk in a jug
Slide 45 / 100 Length - US Customary System
The most commonly used U.S. customary units of length are: inch, foot, yard, and mile. 1 inch (in) The diameter of a quarter is about 1 inch. about 1 in.
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1 foot (ft) = 12 in. The longer side of a sheet
notebook paper is about 1 foot. about 1 ft.
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SLIDE 17 1 foot (ft) = 12 in. The longer side of a sheet
notebook paper is about 1 foot. about 1 ft.
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Teacher Notes
Using rulers allow students to measure their own notebooks
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1 yard (yd) = 3 ft. The height of a kitchen table is about 1 yard. about 1 yd.
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1 mile (mi) = 1,760 yd. A person can walk 1 mile in about 20 minutes
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SLIDE 18
28 The customary U.S. unit to measure an envelope would be a inch. True False
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29 What is the U.S. customary unit to measure a river? A inch B foot C yard D mile
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30 What is the U.S. customary unit to measure a football field? A inch B foot C yard D mile
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31 What is the U.S. customary unit to measure someones height? A inch B foot C yard D mile
Slide 53 / 100 Units of Measurement Conversion
Metric Customary 1 kilometer = 1000 meters 1 meter = 100 centimeters 1 centimeter = 10 millimeters 1 mile = 1,760 yards 1 mile = 5,280 feet 1 yard = 3 feet 1 foot = 12 inches
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SLIDE 20 32 Which measurement best describes the height
A 8 centimters B 8 feet C 8 kilometers
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33 Ceil discovered that her pencil is about as long a 4 small paper clips. About how long is Ceil's pencil? A 4 miles B 4 centimeters C 4 inches
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34 Which is the most reasonable estimate for the length of a writing pen? A 1 foot B 3 centimeters C 6 centimeters D 15 inches
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SLIDE 21
Units of Weight
Metric U.S. Customary 10 milligrams (mg) = 1 centigram (cg) 10 centigrams (cg) = 1 decigram (dg) or 100 milligrams 10 decigrams (dg) = 1 gram (g) or 1,000 milligrams 10 grams (g) = 1 dekagram (deg) 16 ounce (oz.) = 1 pound (lb.) 1 ton (T) = 2,000 lbs.
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1 sheet of paper weighs about 1 gram 1 tennis ball weighs about 1 ounce. 1 loaf of bread weighs about 1 pound 1 bunch of bananas weighs about 1 kilogram
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35 One pound of butter equals how many ounces? A 10 ounces B 12 ounces C 16 ounces D 20 ounces
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SLIDE 22
36 The most logical unit of measuring the weight of a bowling ball would be? A ounce B gram C pounds D tons
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37 Which answer choice shows units that you would use to measure your weight? A inches or centimeters B pounds or kilograms C quarts or liters D pounds or grams
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38 Which unit of measurement would be most accurate to weigh a rubber band? A feet B ounce C pound D gram
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SLIDE 23
Capacity
Metric Most commonly used U.S. Customary 1 milliliter (mL) = amount of liquid in an eyedropper 1 liter (L) = 1,000 milliliter amount of liquid in a quart of milk 1 cup (c) = 8 fluid ounces (8 oz.) 1 pint (pt) = 2 cups (2c) 1 quart (qt) = 2 pints (2pt) 1 gallon (gal) = 4 quarts (4 qt)
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39 Which is the best unit to measure the milk in a glass? A cup B meter C quart D liter
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40 Which is the best unit to measure the amount of water in a pool? A cup B milliliter C pint D gallons
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SLIDE 24 41 A bottle of soda is: A 2 cups B 2 liters C 2 gallons D 2 pints
Slide 68 / 100 Units of Temperature
The U.S. customary unit of temperature is degrees Fahrenheit ( ºF). The metric unit
- f temperature is degrees Celsius ( ºC).
inter-active thermometer can change between Fahrenheit and Celsius.
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42 The temperature was 75 º F. It suddenly dropped 30º F. What was the temperature after the sudden drop?
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SLIDE 25 43 The outside temperature when Karen woke up was 58º F, The high temperature for the day was 19º F warmer than when she woke up. What was the high temperature for the day?
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44 The average temperature in July for Trenton is 27º C. The average temperature in July for Albany is 18º C. How much warmer is the average temperature for Trenton than Albany?
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Conversion of Measurements
Return to Table
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SLIDE 26 Pint
) )
Gallon Gallon
Quart Q u a r t Q u a r t Quart
Pint Pint Pint Pint Pint Pint Pint
cup c u p cup c u p cup c u p cup cup cup c u p cup c u p cup cup cup Cup cup cup
Liquid Bolt Man Slide 74 / 100 Liquid Bolt Man
Use the Liquid Bolt Man to help you answer the questions
- 1. How many quarts are in a gallon?
__________________ 4 quarts
- 2. How many pints are in a gallon?
__________________ 8 pints
- 3. How many cups are in a pint?
__________________ 2 cups
- 4. Which is less: a cup or a pint?
__________________ cup
- 5. How many cups are in 3 p ints? ________________
6 cups
- 6. Which is greater: a quart or a pint?
__________________ quart
- 7. Which is less: 4 quarts or one gallon?
__________________ They are the same
remove remove remove remove remove remove remove
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47 How many pints are in 2 gallons?
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Problem Solving
Return to Table
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SLIDE 28 Louise is measuring a butterfly from his butterfly collection. He has placed the butterfly at the wrong end of the ruler! Can you help him?
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Louise is measuring a butterfly from his butterfly collection. He has placed the butterfly at the wrong end of the ruler! Can you help him?
[This object is a pull tab]
Teacher Notes
1st solution
end of the butterfly, and count the inches 2nd solution
missing width, subtract 12 - ____ = _____
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Making a table helps to convert measurements. For example, this table shows how many inches are in a foot.
Feet Inches 1 12 2 24 3 36 4 48 5 60
Fill in missing inches
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SLIDE 29 We can now make a generalization based on the pattern.
Feet Inches 1 12 2 24 3 36 4 48 5 60
n n x 12
n - stands for any number of feet
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yards feet 1 3 2 6 3 9 4 12 5 15
n n x 3 Fill in the rest of the table showing how many yards are in a foot.
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48 How many ounces are in 9 pounds? Use the table to help you answer.
pounds
1 16 2 32 3 48 4 64 5 80
n n x 16
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SLIDE 30 49 Carrie's baby sister was 7 pound, 3 ounces when she was born. How many ounces is that?
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50 How many minutes are in 7 hours? Use the table to help you answer.
hours minutes 1 60 2 120 3 180 4 240 5 300
n n x 60
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51 The school day is 6 hours and 40 minutes long. How many minutes is that?
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SLIDE 31 52 How many milliliters are in 13 liters? Use the table to help you answer.
liters (L) milliliters (mL) 1 1,000 2 2,000 3 3,000 4 4,000 5 5,000
n n x 1000
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53 Carlos made 3 L and 500 mL of iced tea for the
- party. How many mL is that?
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54 Rose and Gerry each had a quart and a half of
- range juice to share among their friends. Each of
them used the entire amount, but Gerry served 4
- unces of juice to each of his friends and Rose
served 8 ounces of juice to her friends. How many more friends did Gerry serve orange juice to than Rose?
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SLIDE 32 55 Ed wonders if the largest shark, the whale shark, will fit in the classroom. The whale shark is 50 feet
- long. Ed knows that his classroom is 15 yards
- long. Will a whale shark fit in Ed's classroom?
Yes No Be prepared to explain your answer.
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56 Jasmine learns that the largest bird is an ostrich. It can grow to be 3 yards tall. She knows that the height of her favorite basketball player is 7 feet. Who is taller, the basketball player or ostrich? A Basketball player B Ostrich C They are the same size
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57 Stephen sent 3 packages by air freight for over- night delivery. The packages weighed 3 lb 12 oz, 4 lb 5 oz, and 2 lb 9 oz. What is total weight in
Remember to regroup ounces to pounds. (16 ounces = 1 pound)
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58 Fran's birthday is on March 12. Debbie's birthday is 2 weeks later. What is the date of Debbie's birthday?
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60 Sasha has 2 feet of ribbon. She wants to give ribbon to her 3 best friends so that each friend gets the same amount. How much ribbon will each friend get? (Express your answer in inches.)
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SLIDE 34 61 Three friends are selling lemonade. Marcus brought
- ne and a half liters, Jose brought 2 liters and Ernie
brought 650 milliliters. How many total milliliters of lemonade did the boys have?
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62 Kendra and 8 friends are having a party. They purchased 2 quarts of milk. Each of them wants an 8 ounce glass of milk with their cake. Is there enough milk for everyone to have at least one 8
Yes No
Show your work - it is needed for the next question.
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63 How many more ounces of milk to they need?
Click to show this question after students answer the one on the previous page.
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