5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
1. If a medium bottle contains 70% as much juice as the large bottle. How many milliliters of juice are in the medium bottle?
2. If a small bottle contains 20% as much juice as the large bottle. How many milliliters of juice are in the small bottle?
3. If a mega-large bottle contains 140% as much juice as the large bottle. How many milliliters of juice are in the mega-large bottle?
Pass Skills Practice RP3.5 forward.
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
Where does 500 go?
volume in
milliliters
percentage 10% 20% 30% 40% 50% 60% 70% 80% 90% 110% 120%130% 140% 150%
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
volume in
milliliters
percentage 10% 20% 30% 40% 50% 60% 70% 80% 90% 110% 120%130% 140% 150%
50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
Can we label the tick marks on the volume line?
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
volume in
milliliters
percentage 10% 20% 30% 40% 50% 60% 70% 80% 90% 110% 120%130% 140% 150%
50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
1. If a medium bottle contains 70% as much juice as the large bottle. How many milliliters of juice are in the medium bottle?
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
1. If a medium bottle contains 70% as much juice as the large bottle. How many milliliters of juice are in the medium
bottle? 350 milliliters
volume in
milliliters
percentage 10% 20% 30% 40% 50% 60% 70% 80% 90% 110% 120%130% 140% 150%
50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
2. If a small bottle contains 20% as much juice as the large bottle. How many milliliters of juice are in the small bottle?
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
2. If a small bottle contains 20% as much juice as the large bottle. How many milliliters of juice are in the small bottle?
100 milliliters
volume in
milliliters
percentage 10% 20% 30% 40% 50% 60% 70% 80% 90% 110% 120%130% 140% 150%
50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
3. If a mega-large bottle contains 140% as much juice as the large bottle. How many milliliters of juice are in the mega-large bottle?
5 Minute Check
Complete on the back of yesterday’s notes. Use the Juice double number line, if needed.
A large bottle of juice contains 500 milliliters of juice.
3. If a mega-large bottle contains 140% as much juice as the large bottle. How many milliliters of juice are in the mega-large bottle?
700 milliliters
volume in
milliliters
percentage 10% 20% 30% 40% 50% 60% 70% 80% 90% 110% 120%130% 140% 150%
50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
Skills Practice RP3.5Complete the double number to answer questions 1 and 2.
1. During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make?
free throws
percent
Skills Practice RP3.5Complete the double number to answer questions 1 and 2.
Where does the 40 go?
free throws
percent
Skills Practice RP3.5Complete the double number to answer questions 1 and 2.
Can we label the tick marks on the free throw line?
free throws
percent
40
Skills Practice RP3.5Complete the double number to answer questions 1 and 2.
1. During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make? 10 free throws
free throws
percent
10 20 30 40 50 60
Skills Practice RP3.5Complete the double number to answer questions 1 and 2.
2. Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today?
free throws
percent
10 20 30 40 50 60
Skills Practice RP3.5Complete the double number to answer questions 1 and 2.
2. Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today? 150% = 100% + 50%,
12 + 6 = 18 free throws
free throws
percent
10 20 30 40 50 60
Skills Practice RP3.5Complete the double number to answer questions 3 and 4.
3. A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
Vitamin C(mg)
percent
10 20 30 40 50 60
Skills Practice RP3.5Complete the double number to answer questions 3 and 4.
3. A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults? 80mg
Vitamin C(mg)
percent
10 20 30 40 50 60 40 80 120 160 200
Skills Practice RP3.5Complete the double number to answer questions 3 and 4.
4. At the store you notice a small bottle of grapefruit juice says it has 120 mg of vitamin C. What percent of the daily recommended allowance of vitamin C for adults is this?
Vitamin C(mg)
percent
10 20 30 40 50 60 40 80 120 160 200
Skills Practice RP3.5Complete the double number to answer questions 3 and 4.
4. At the store you notice a small bottle of grapefruit juice says it has 120 mg of vitamin C. What percent of the daily recommended allowance of vitamin C for adults is this? 150%
Vitamin C(mg)
percent
10 20 30 40 50 60 40 80 120 160 200
Word Problems
Word Problems
Word Problems
Word Problems
Word Problems
Wednesday, Nov 7
RP3.6
Percentage
Objective: To understand how to find the percent of a number.
6.RP.3 I can use reasoning to solve word problems involving rate and ratios.
c. I can find a percent of a quantity as a rate per 100. I can solve problems involving finding the whole if I am given a part and the percent.
Percentage
Percent: a ratio out of 100.
The word percent means “per 100” or “out of 100” and is usually written with this symbol: %.
e.g.
45% = 45 out of 100 = 𝟒𝟓𝟏𝟎𝟎
Percentage
Percentages are commonly used in two ways:
To describe a part of a whole.
Percentage
Percentages are commonly used in two ways:
To describe the size of one quantity as a percentage of another quantity.
Percentage
What do you notice? What do you wonder?
Percentage
Jada has a new puppy that weighs 9 pounds. It is now at about 20% of its adult weight.
According to the tape diagram what will the puppy weigh when it is an adult?
Percentage
Jada has a new puppy that weighs 9 pounds. It is now at about 20% of its adult weight.
According to the tape diagram what will the puppy weigh when it is an adult?
9 pounds x 5 = 45 pounds
Percentage
9 + 9 + 9 + 9 + 9
Jada has a new puppy that weighs 9 pounds. It is now at about 20% of its adult weight.
What fraction of its adult weight is the puppy now? How can you see that in the diagram?
Percentage
Jada has a new puppy that weighs 9 pounds. It is now at about 20% of its adult weight.
What fraction of its adult weight is the puppy now? How can you see that in the diagram?
The puppy is 𝟏
𝟓the weight of an adult.
Percentage
Jada’s friend has a dog that weighs 90 pounds. Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
How many times greater is the dog’s weight than the puppy’s?
Percentage
Jada’s friend has a dog that weighs 90 pounds. Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
How many times greater is the dog’s weight than the puppy’s? 10 times.
Percentage
10 sections
1 section
Jada’s friend has a dog that weighs 90 pounds. Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
Compare the weight of the puppy and the dog using fractions.
Percentage
10 sections
1 section
Jada’s friend has a dog that weighs 90 pounds. Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
Compare the weight of the puppy and the dog using fractions.
𝐩𝐮𝐩𝐩𝐲
𝐝𝐨𝐠= 𝟗
𝟗𝟎=
𝟏
𝟏𝟎; the puppy weighs 𝟏
𝟏𝟎the dog.
Percentage
10 sections
1 section
Jada’s friend has a dog that weighs 90 pounds. Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
Compare the weight of the puppy and the dog using percentages.
Percentage
10 sections
1 section
Jada’s friend has a dog that weighs 90 pounds. Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
Compare the weight of the puppy and the dog using percentages.
The puppy's weight is 10% the weight of the dog.
Percentage
10 sections
1 section
Noah has $50.
Elena has 40% as much as Noah. How much does Elena have?
Think about what the answer looks like.
Percentage
Noah has $50.
Diego has 150% as much as Noah. How much does Diego have?
Think about what the answer looks like.
Percentage
Noah has $50.
Elena has 40% as much as Noah. How much does Elena have?
Percentage
Noah has $50.
Elena has 40% as much as Noah. How much does Elena have?
Complete on the Noah the double number line.
Percentage
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150
money ($)
percentage
Since we are comparing Elena’s money to Noah’s money and he has $50, where do we put this 50 on the money line?
Noah has $50.
Elena has 40% as much as Noah. How much does Elena have?
Percentage
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150
money ($)
percentage
0 1 2 3 4 50 6 7
Noah has $50.
Elena has 40% as much as Noah. How much does Elena have?
Percentage
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150
money ($)
percentage
0 1 2 3 4 50 6 7
Can we fill in the other tick marks on the money line?
Noah has $50.
Elena has 40% as much as Noah. How much does Elena have?
Percentage
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150
money ($)
percentage
0 10 20 30 40 50 60 70
Noah has $50.
Elena has 40% as much as Noah. How much does Elena have? $20
Percentage
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150
money ($)
percentage
0 10 20 30 40 50 60 70
Noah has $50. Elena has $20.
Compare Elena’s and Noah’s money with fractions, then draw a diagram to represent.
Percentage
Noah has $50. Elena has $20.
Compare Elena’s and Noah’s money with fractions, then draw a diagram to represent.
𝐄𝐥𝐞𝐧𝐚
𝐍𝐨𝐚𝐡= 𝟐𝟎
𝟓𝟎= 𝟐
𝟓; Elena has
𝟐
𝟓of Noah’s money.
𝐍𝐨𝐚𝐡
𝐄𝐥𝐞𝐧𝐚= 𝟓𝟎
𝟐𝟎=𝟓
𝟐; Noah has
𝟓
𝟐of Elena’s money.
Percentage
Noah has $50. Elena has $20.
Compare Elena’s and Noah’s money with fractions, then draw a diagram to represent.
𝐄𝐥𝐞𝐧𝐚
𝐍𝐨𝐚𝐡= 𝟐𝟎
𝟓𝟎= 𝟐
𝟓; Elena has
𝟐
𝟓of Noah’s money.
𝐍𝐨𝐚𝐡
𝐄𝐥𝐞𝐧𝐚= 𝟓𝟎
𝟐𝟎= 𝟓
𝟐; Noah has
𝟓
𝟐of Elena’s money.
Percentage
Noah
Elena
$10 $10 $10 $10 $10
$10 $10
Noah has $50.
Diego has 150% as much as Noah. How much does Diego have?
Think about what the answer looks like.
Percentage
Noah has $50.
Diego has 150% as much as Noah. How much does Diego have? $75
Percentage
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150
money ($)
percentage
0 10 20 30 40 50 60 70
Noah has $50. Diego has $75
Compare Diego’s and Noah’s money with fractions, then draw a diagram to represent.
Percentage
Noah has $50. Diego has $75
Compare Diego’s and Noah’s money with fractions, then draw a diagram to represent.
𝐃𝐢𝐞𝐠𝐨
𝐍𝐨𝐚𝐡= 𝟕𝟓
𝟓𝟎= 𝟑
𝟐; Diego has
𝟑
𝟐of Noah’s money.
𝐍𝐨𝐚𝐡
𝐃𝐢𝐞𝐠𝐨= 𝟓𝟎
𝟕𝟓= 𝟐
𝟑; Noah has
𝟐
𝟑of Diego’s money.
Percentage
Noah has $50. Diego has $75
Compare Diego’s and Noah’s money with fractions, then draw a diagram to represent.
𝐃𝐢𝐞𝐠𝐨
𝐍𝐨𝐚𝐡= 𝟕𝟓
𝟓𝟎= 𝟑
𝟐; Diego has
𝟑
𝟐of Noah’s money.
𝐍𝐨𝐚𝐡
𝐃𝐢𝐞𝐠𝐨= 𝟓𝟎
𝟕𝟓= 𝟐
𝟑; Noah has
𝟐
𝟑of Diego’s money.
Percentage
Noah
Diego $25 $25 $25
$25 $25
Assume that all the sections are equal.
What percentage of A is shaded?
Percentage
Assume that all the sections are equal.
What percentage of A is shaded? 𝟏
𝟏𝟎of
something is the same as 10% of something.
Percentage
Assume that all the sections are equal.
What percentage of B is shaded?
Percentage
Assume that all the sections are equal.
What percentage of B is shaded? 𝟏
𝟐of
something is the same as 50% of something.
Percentage
Assume that all the sections are equal.
What percentage of C is shaded?
Percentage
Assume that all the sections are equal.
What percentage of C is shaded? 𝟑
𝟒of
something is the same as 75% of something.
Percentage
How much is 50% of 10 liters of milk?
Put your pencils down!
Percentage
How much is 50% of 10 liters of milk?
The diagram will have two sections. Why?
Percentage
Milk (liters)
How much is 50% of 10 liters of milk?
5 liters
Percentage
5 5Milk (liters)
How far is 50% of a 2,000-kilometer trip?
Put your pencils down!
Percentage
How far is 50% of a 2,000-kilometer trip?
1,000 km
Percentage
1,000 1,000Trip (km)
How long is 50% of a 24-hour day?
Put your pencils down!
Percentage
How long is 50% of a 24-hour day?
12 hours
Percentage
12 12Day (hours)
How can you find 50% of any number?
Put your pencils down!
Percentage
How can you find 50% of any number?
Put your pencils down!
Divide by 2
Percentage
How much is 10% of 10 liters of milk?
Put your pencils down!
Percentage
How much is 10% of 10 liters of milk?
1 liter
Percentage
1 1 1 1 1 1 1 1 1 1 Milk (liters)
How far is 10% of a 2,000-kilometer trip?
Put your pencils down!
Percentage
How far is 10% of a 2,000-kilometer trip?
200 km
Percentage
200 200 200 200 200 200 200 200 200 200 Trip (km)
How long is 10% of a 24-hour day?
Put your pencils down!
Percentage
How long is 10% of a 24-hour day?
2.4 hours
Percentage
2.4 2.4 2.4 2.4 2.4 2.4 2.4 2.4 2.4 2.4Day (hours)
How can you find 10% of any number?
Put your pencils down!
Percentage
How can you find 10% of any number?
Put your pencils down!
Divide by 10
Percentage
How much is 75% of 10 liters of milk?
Put your pencils down!
Percentage
How much is 75% of 10 liters of milk?
7.5 liters
Percentage
2.5 2.5 2.5 2.5Milk (liters)
How far is 75% of a 2,000-kilometer trip?
Put your pencils down!
Percentage
How far is 75% of a 2,000-kilometer trip?
1500 km
Percentage
500 500 500 500Trip (km)
How long is 75% of a 24-hour day?
Put your pencils down!
Percentage
How long is 75% of a 24-hour day?
18 hours
Percentage
6 6 6 6Day (hours)
How can you find 75% of any number?
Put your pencils down!
Percentage
How can you find 75% of any number?
Put your pencils down!
Multiply by 3, then divide by 4
Percentage
9 is 50% of what number?
You can use your pencil.
Percentage
9 is 50% of what number?
18
Percentage
9 9
9 is 25% of what number?
Percentage
9 is 25% of what number?
36
Percentage
9 9 9 9
9 is 10% of what number?
Percentage
9 is 10% of what number?
90
Percentage
9 9 9 9 9 9 9 9 9 9
9 is 75% of what number?
Percentage
9 is 75% of what number?
12
Percentage
3 3 3 3
9 is 150% of what number?
Percentage
9 is 150% of what number?
6
Percentage
3 3 3
You can buy 5 ounces of vanilla for $25 at the grocery store.
Find the unit rate of dollars per 1 ounce.
Review
You can buy 5 ounces of vanilla for $25 at the grocery store.
Find the unit rate of dollars per 1 ounce.
$25 ÷ 5
5 ounces ÷ 5= $5
1 ounce
Review
You can buy 5 ounces of vanilla for $25 at the grocery store.
Find the unit rate of ounces per 1 dollar.
Review
You can buy 5 ounces of vanilla for $25 at the grocery store.
Find the unit rate of ounces per 1 dollar.
5 ounces ÷ 25
$25 ÷ 25=
525
ounces
$1=
15ounces
$1
Review
Paint Mixing Recipe:
7 tbs red 112
tbs orange
2 tbs blue 114
tbs black
Find the unit rate of blue for each tbs of red.
Review
Paint Mixing Recipe:
7 tbs red 112
tbs orange
2 tbs blue 114
tbs black
Find the unit rate of blue for each tbs of red.
2 tbs blue÷7
7 tbs red÷7=
27tbs blue
1 tbs red
Review
Paint Mixing Recipe:
7 tbs red 112
tbs orange
2 tbs blue 114
tbs black
Find the unit rate of red for each tbs of blue.
Review
Paint Mixing Recipe:
7 tbs red 112
tbs orange
2 tbs blue 114
tbs black
Find the unit rate of red for each tbs of blue.
7 tbs red÷2
2 tbs blue÷2=
72tbs red
1tbs blue=
31
2tbs red
1 tbs blue
Review
Practice Skills RP3.6
Due Thursday, Nov 8
RP2 Assessment
Friday, Nov 9
Percentage