Mass and Volume in Measurement Activities

 
 
Lesson 20
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[
OBJECTIVE
]
 
The student will explore, calculate, measure
and estimate mass of objects and liquid
volume using standard units of grams,
kilograms, liters, and milliliters.
[
MY
 
SKILLS
]
 
Multiplication by 10
[
ESSENTIAL
 
QUESTIONS
]
 
1. 
How can I compare grams and kilograms?
2. 
How can I compare milliliters and liters?
3. 
What would be an appropriate unit of
measure to estimate the mass of a large dog?
Why?
 
SOLVE
 
Dontae’s mom volunteered to help with the
class party at the end of the year. There are 28
students in his class. Dontae’s mom is buying 1
liter bottles of fruit punch for the drink. If she
plans on 4 servings per liter, how many liters of
fruit punch does she need?
 
S
 
Study the Problem
Underline the question.
This problem is asking me to find
the number of liters of fruit punch she needs.
[Cooperative Pairs]
 
 
P
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A
 
 
P
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B
Working with Mass
 
Which cube would
have the greater
mass?
 
The LARGE cube
Working with Mass
How many of the
small unit cubes
do you think will
fit inside the large
unit cube?
Working with Mass
How many small
cubes do you think
it will take to cover
the bottom of the
large cube?
 
100
Working with Mass
How many small
unit cubes tall is
the large unit
cube?
 
10 small unit
cubes tall
Working with Mass
If there are 100
small unit cubes in
one layer of the
large unit cube, how
many layers of 100
small unit cubes
would it take to fill
the large unit cube?
 
10 layers
Working with Mass
How many small
unit cubes are
needed to fill the
large unit cube if
the small unit
cubes filled it to
the top.
 
1,000 small
unit cubes
Working with Mass
 
Mass 
is the amount of space in an  object.
 
In order to measure 
mass
, we will call the
small unit cube a 
gram
.
 
= 1 gram
 
How many grams will fit in the large unit cube?
 
1,000
 
The large unit cube with 1,000 grams
represents a 
kilogram
!
Working with Mass
Which has the larger mass:
1 gram or 1 kilogram?
 
1 gram
 
1 kilogram
Working with Mass
 
How many grams
does it take to
cover the bottom
of the kilogram
container?
 
100 grams
Working with Mass
 
How many grams
can be stacked in
the corner to
determine the
height?
 
10 grams
Working with Mass
 
How many grams
does it take to
completely fill the
kilogram
container?
 
1,000 grams
Working with Mass
 
How many grams
equal 1 kilogram?
 
1,000 grams
Working with Mass
 
What are some objects you see every day that
would be measured using 
grams
?
 
What are some objects you see every day that
would be measured using 
kilograms?
 
Mass
 is the amount of space in an object.
It is measured in 
grams
 and 
kilograms
.
 
A slice of bread
A piece of paper
 
A dog
A backpack
Working with Mass
 
What would be the most appropriate
unit for measuring the mass of a pencil?
 
The gram would be most appropriate because it is
used to measure smaller amounts of mass.
Working with Mass
 
What would be the most appropriate unit
for measuring the mass of a textbook?
 
The kilogram would be most appropriate because
it is used to measure larger amounts of mass.
Working with Mass
 
Do you know the exact mass of the loaf of bread?
 
Decide what would be the most accurate
measurement unit for the loaf of bread.
About 1 kilogram
About 1 gram
Exactly 1 gram
Exactly 1 kilogram
 
No, because there are no marks to show
the measurement.
Working with Mass
 
Do you know the exact mass of the sand in the
container?
About 10 kilograms
About 10 grams
Exactly 10 grams
Exactly 10 kilograms
 
Yes, because there is a container with marks showing
the amount and a key to tell us how much each mark
represents.
Key: 
Each
mark
equals 1
gram
Working with Mass
 
Decide what would be the most accurate
measurement for the container of sand.
About 10 kilograms
About 10 grams
Exactly 10 grams
Exactly 10 kilograms
Key: 
Each
mark
equals 1
gram
Working with Mass
 
The box below is full of sand.
 
 
 
 
 
It has a mass of 10 kilograms.
Working with Mass
John has 5 boxes full of sand.
 
If each of the boxes has a mass of 10 kilograms,
what is the total mass of the 5 boxes?
 
50 kilograms
Working with Mass
 
If Kate has 2 boxes, what is the total
amount of sand she has?
The box below is full of sand. It has a mass of 15
kilograms.
 
30 kilograms
 
What is the difference between the
amounts of sand John and Kate have?
 
50 – 30 = 20 kilograms
Working with Mass
In the last activity, the small unit was 1 gram
and the larger unit was 1 kilogram.
 
1 gram
 
1 kilogram
Working with Volume
In the next activity, the small unit will represent a
milliliter
, and the large unit will represent a
 
liter
.
 
1 milliliter
 
1 liter
Working with Volume
Which has the greater volume:
1 milliliter or 1 liter?
 
1 milliliter
 
1 liter
Working with Volume
How many
milliliters does it
take to cover the
bottom of the liter
container?
 
100 milliliters
Working with Volume
How many
milliliters can be
stacked in the
corner to
determine the
height?
 
10 milliliters
Working with Volume
How many
milliliters does it
take to completely
fill the liter
container?
 
1,000 milliliters
Working with Volume
How many
milliliters equal 1
liter?
 
1,000 milliliters
Working with Volume
 
Discuss some liquid volumes you see every day
that would be measured in milliliters.
 
Discuss some liquid volumes you see every day
that would be measured in liters.
 
Volume
 is the amount of space the liquid
occupies.  It is measured in 
milliliters
 and 
liters
.
 
Water in a teaspoon
Bottle of hand lotion
 
Carton of milk
Gasoline for a car
Working with Volume
 
What would be the most appropriate
unit for measuring the volume of the
liquid in the glass?
 
The milliliter would be most appropriate because it
is used to measure smaller volumes.
Working with Volume
 
What would be the most appropriate
unit for measuring the volume of the
liquid in the water can?
 
The liter would be most appropriate because it is
used to measure larger volumes.
Working with Volume
 
Do you know the exact volume of juice in the carton?
 
Decide what would be the most accurate
measurement for the juice in the carton.
About 1 liter
About 1 milliliter
Exactly 1 milliliter
Exactly 1 liter
 
No, because there are no marks
to show measurement.
Working with Volume
 
Do you know the exact volume of the water in the
container?
About 10 liters
About 10 milliliters
Exactly 10 milliliters
Exactly 10 liters
 
Yes, because there is a container with marks showing
the amount and a key to tell us how much each mark
represents.
Key: 
Each
mark
equals 1
milliliter
Working with Volume
 
Decide what would be the most accurate
measurement for the volume of the water in the
container.
About 10 liters
About 10 milliliters
Exactly 10 milliliters
Exactly 10 liters
Key: 
Each
mark
equals 1
milliliter
Working with Mass
 
The container below is filled with water.
 
 
 
 
 
It has a volume of 1 liter.
Working with Mass
Sara has to fill 4 containers with water
for a science lab.
 
If each container has a volume of 1 liter, what is the
volume of the 4 containers?
 
4 liters
Working with Mass
 
Identify the volume of the container.
Karissa is working on a different science lab. The
amount of water she needs is shown below.
 
3 liters
 
What is the difference between the
volume of water Sarah is using and the
volume of water Karissa is using?
 
4 – 3 = 1 liter
SOLVE
 
 
Dontae’s mom volunteered to help with the
class party at the end of the year. There are 28
students in his class. Dontae’s mom is buying 1
liter bottles of fruit punch for the drink. If she
plans on 4 servings per liter, how many liters of
fruit punch does she need?
S
 
Study the Problem
Underline the question.
This problem is asking me to find
the number of liters of fruit punch she needs.
 
 
Dontae’s mom volunteered to help with the
class party at the end of the year. There are 28
students in his class. Dontae’s mom is buying 1
liter bottles of fruit punch for the drink. If she
plans on 4 servings per liter, how many liters of
fruit punch does she need?
 
O
 
Organize the Facts
Identify the facts.
Eliminate the unnecessary facts.
List the necessary facts.
28 students
4 servings per liter
 
 
L
 
Line Up a Plan
Choose an operation or operations.
Division
Write in words what your plan of action will
be.
Divide the number of students by the
servings per liter.
 
V
 
Verify Your Plan with Action
Estimate your answer.
Less than 10 liters
Carry out your plan.
28 ÷ 4 = 7
7 liters
 
 
 
E
 
Examine Your Results
Does your answer make sense?
(compare your answer to question.)
Yes, because I am looking for the number of
liters of fruit punch.
Is your answer reasonable?
(compare your answer to the estimate.)
Yes, because it is close to my estimate of less
than 10 liters.
 
Is your answer accurate?
(check your work.)
Yes.
Write your answer in a complete sentence.
Dontae’s mom needs 7 liters of fruit punch.
[
ESSENTIAL
 
QUESTIONS
]
 
1.
How can I compare grams and
kilograms?
 
(There are 1,000 grams in 1 kilogram.)
[
ESSENTIAL
 
QUESTIONS
]
 
 
2.
How can I compare milliliters and liters?
 
(There are 1,000 milliliters in 1 liter.)
[
ESSENTIAL
 
QUESTIONS
]
 
3.
What would be an appropriate unit of
measure to estimate the mass of a large
dog? Why?
 
(Kilograms, because the dog will have a
mass too large to measure with grams.)
 
Grams
Kilograms
Milliliters
Liters
Mass
Volume
 
 
Lesson 20
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Explore and measure mass of objects and liquid volume in lesson activities. Understand comparing grams and kilograms, milliliters and liters. Practice solving problems involving volume and mass estimation. Engage in cooperative pairs to work on mass comparisons. Enhance skills in multiplication by 10.

  • Measurement activities
  • Mass
  • Volume
  • Estimation
  • Comparison

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  1. Lesson 20 Measure and Estimate Mass of Objects and Liquid Volume

  2. [OBJECTIVE] The student will explore, calculate, measure and estimate mass of objects and liquid volume using standard units of grams, kilograms, liters, and milliliters.

  3. [MYSKILLS] Multiplication by 10

  4. [ESSENTIALQUESTIONS] 1. How can I compare grams and kilograms? 2. How can I compare milliliters and liters? 3. What would be an appropriate unit of measure to estimate the mass of a large dog? Why?

  5. SOLVE Dontae s mom volunteered to help with the class party at the end of the year. There are 28 students in his class. Dontae s mom is buying 1 liter bottles of fruit punch for the drink. If she plans on 4 servings per liter, how many liters of fruit punch does she need? S Study the Problem Underline the question. This problem is asking me to find the number of liters of fruit punch she needs.

  6. [Cooperative Pairs] Partner A Partner B

  7. Working with Mass Which cube would have the greater mass? The LARGE cube

  8. Working with Mass How many of the small unit cubes do you think will fit inside the large unit cube?

  9. Working with Mass How many small cubes do you think it will take to cover the bottom of the large cube? 100

  10. Working with Mass How many small unit cubes tall is the large unit cube? 10 small unit cubes tall

  11. Working with Mass If there are 100 small unit cubes in one layer of the large unit cube, how many layers of 100 small unit cubes would it take to fill the large unit cube? 10 layers

  12. Working with Mass How many small unit cubes are needed to fill the large unit cube if the small unit cubes filled it to the top. 1,000 small unit cubes

  13. Working with Mass Mass is the amount of space in an object. In order to measure mass, we will call the small unit cube a gram. = 1 gram How many grams will fit in the large unit cube? 1,000 The large unit cube with 1,000 grams represents a kilogram!

  14. Working with Mass Which has the larger mass: 1 gram or 1 kilogram? 1 gram 1 kilogram

  15. Working with Mass How many grams does it take to cover the bottom of the kilogram container? 100 grams

  16. Working with Mass How many grams can be stacked in the corner to determine the height? 10 grams

  17. Working with Mass How many grams does it take to completely fill the kilogram container? 1,000 grams

  18. Working with Mass How many grams equal 1 kilogram? 1,000 grams

  19. Working with Mass Mass is the amount of space in an object. It is measured in grams and kilograms. What are some objects you see every day that would be measured using grams? A slice of bread A piece of paper What are some objects you see every day that would be measured using kilograms? A dog A backpack

  20. Working with Mass What would be the most appropriate unit for measuring the mass of a pencil? The gram would be most appropriate because it is used to measure smaller amounts of mass.

  21. Working with Mass What would be the most appropriate unit for measuring the mass of a textbook? The kilogram would be most appropriate because it is used to measure larger amounts of mass.

  22. Working with Mass About 1 kilogram About 1 gram Exactly 1 gram Exactly 1 kilogram Do you know the exact mass of the loaf of bread? No, because there are no marks to show the measurement. Decide what would be the most accurate measurement unit for the loaf of bread.

  23. Working with Mass About 10 kilograms About 10 grams Exactly 10 grams Exactly 10 kilograms Key: Each mark equals 1 gram Do you know the exact mass of the sand in the container? Yes, because there is a container with marks showing the amount and a key to tell us how much each mark represents.

  24. Working with Mass About 10 kilograms About 10 grams Exactly 10 grams Exactly 10 kilograms Key: Each mark equals 1 gram Decide what would be the most accurate measurement for the container of sand.

  25. Working with Mass The box below is full of sand. It has a mass of 10 kilograms.

  26. Working with Mass John has 5 boxes full of sand. If each of the boxes has a mass of 10 kilograms, what is the total mass of the 5 boxes? 50 kilograms

  27. Working with Mass The box below is full of sand. It has a mass of 15 kilograms. If Kate has 2 boxes, what is the total amount of sand she has? 30 kilograms What is the difference between the amounts of sand John and Kate have? 50 30 = 20 kilograms

  28. Working with Mass In the last activity, the small unit was 1 gram and the larger unit was 1 kilogram. 1 gram 1 kilogram

  29. Working with Volume In the next activity, the small unit will represent a milliliter, and the large unit will represent a liter. 1 milliliter 1 liter

  30. Working with Volume Which has the greater volume: 1 milliliter or 1 liter? 1 milliliter 1 liter

  31. Working with Volume How many milliliters does it take to cover the bottom of the liter container? 100 milliliters

  32. Working with Volume How many milliliters can be stacked in the corner to determine the height? 10 milliliters

  33. Working with Volume How many milliliters does it take to completely fill the liter container? 1,000 milliliters

  34. Working with Volume How many milliliters equal 1 liter? 1,000 milliliters

  35. Working with Volume Volume is the amount of space the liquid occupies. It is measured in milliliters and liters. Discuss some liquid volumes you see every day that would be measured in milliliters. Water in a teaspoon Bottle of hand lotion Discuss some liquid volumes you see every day that would be measured in liters. Carton of milk Gasoline for a car

  36. Working with Volume What would be the most appropriate unit for measuring the volume of the liquid in the glass? The milliliter would be most appropriate because it is used to measure smaller volumes.

  37. Working with Volume What would be the most appropriate unit for measuring the volume of the liquid in the water can? The liter would be most appropriate because it is used to measure larger volumes.

  38. Working with Volume About 1 liter About 1 milliliter Exactly 1 milliliter Exactly 1 liter Do you know the exact volume of juice in the carton? No, because there are no marks to show measurement. Decide what would be the most accurate measurement for the juice in the carton.

  39. Working with Volume About 10 liters About 10 milliliters Exactly 10 milliliters Exactly 10 liters Key: Each mark equals 1 milliliter Do you know the exact volume of the water in the container? Yes, because there is a container with marks showing the amount and a key to tell us how much each mark represents.

  40. Working with Volume About 10 liters About 10 milliliters Exactly 10 milliliters Exactly 10 liters Key: Each mark equals 1 milliliter Decide what would be the most accurate measurement for the volume of the water in the container.

  41. Working with Mass The container below is filled with water. It has a volume of 1 liter.

  42. Working with Mass Sara has to fill 4 containers with water for a science lab. If each container has a volume of 1 liter, what is the volume of the 4 containers? 4 liters

  43. Working with Mass Karissa is working on a different science lab. The amount of water she needs is shown below. Identify the volume of the container. 3 liters What is the difference between the volume of water Sarah is using and the volume of water Karissa is using? 4 3 = 1 liter

  44. SOLVE Dontae s mom volunteered to help with the class party at the end of the year. There are 28 students in his class. Dontae s mom is buying 1 liter bottles of fruit punch for the drink. If she plans on 4 servings per liter, how many liters of fruit punch does she need? S Study the Problem Underline the question. This problem is asking me to find the number of liters of fruit punch she needs.

  45. Dontaes mom volunteered to help with the class party at the end of the year. There are 28 students in his class. Dontae s mom is buying 1 liter bottles of fruit punch for the drink. If she plans on 4 servings per liter, how many liters of fruit punch does she need? O Organize the Facts Identify the facts. Eliminate the unnecessary facts. List the necessary facts. 28 students 4 servings per liter

  46. L Line Up a Plan Choose an operation or operations. Division Write in words what your plan of action will be. Divide the number of students by the servings per liter.

  47. V Verify Your Plan with Action Estimate your answer. Less than 10 liters Carry out your plan. 28 4 = 7 7 liters

  48. E Examine Your Results Does your answer make sense? (compare your answer to question.) Yes, because I am looking for the number of liters of fruit punch. Is your answer reasonable? (compare your answer to the estimate.) Yes, because it is close to my estimate of less than 10 liters.

  49. Is your answer accurate? (check your work.) Yes. Write your answer in a complete sentence. Dontae s mom needs 7 liters of fruit punch.

  50. [ESSENTIALQUESTIONS] 1. How can I compare grams and kilograms? (There are 1,000 grams in 1 kilogram.)

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