5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
GCF
1. 45, 75
2. 123, 205
3. 459, 378
LCM
4. 12, 15
5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
GCF
1. 45, 75
5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
GCF
45
75
/ \
1. 45, 75 / \
3 15
/ \
3 5
GCF = 3 x 5 = 15
3
25
/ \
5 5
5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
GCF
2. 123, 205
5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
123
205
GCF
/ \
/ \
2. 123, 205
3 41
5 41
GCF = 41
5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
GCF
3. 459, 378
5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
GCF
459
378
/ \
/ \
3. 459, 378
3
153
/ \
3 51
/ \
3 17
GCF = 3 x 3 x 3 = 27
2
189
/ \
3 63
/ \
3 21
/ \
3 7
5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
LCM
12
15
4. 12, 15
/ \
/ \
2
6
3
5
/ \
2
3
5 Minute Check
Use the rainbow factor or the factor tree
method to find the following.
LCM
4. 12, 15
LCM = 2 x 2 x 3 x 5 = 60
Flashcards
Monday, April 7
Chapter 1
Review
Chapter 1 Review
1. The ratio of cats to dogs seen by a
veterinarian in one day is 2 to 5. If a vet saw
40 dogs in one day, how many cats did he
see?
A. 5
C. 29
B. 16
D. 40
Chapter 1 Review
1. The ratio of cats to dogs seen by a
veterinarian in one day is 2 to 5. If a vet saw
40 dogs in one day, how many cats did he
see?
Method 1
2cats
x cats
5 dogs = 40 dogs 2 x 40 ÷ 5 = 16 cats
Answer: B
Chapter 1 Review
1. The ratio of cats to dogs seen by a
veterinarian in one day is 2 to 5. If a vet saw
40 dogs in one day, how many cats did he
see?
Method 2
5 dogs
2.5 dogs
2 cats = 1 cat
40 ÷ 2.5 = 16 cats
Chapter 1 Review
2. At a sports camp, there is one counselor for every
12 campers. If there are 156 campers attending the
camp, which equivalent ratios could be used to
find the number of counselors?
Chapter 1 Review
2. At a sports camp, there is one counselor for every
12 campers. If there are 156 campers attending the
camp, which equivalent ratios could be used to
find the number of counselors?
1 counselor
12 campers
=
x counselors
156 campers
Chapter 1 Review
2. At a sports camp, there is one counselor for every
12 campers. If there are 156 campers attending the
camp, which equivalent ratios could be used to
find the number of counselors?
1
12
=
x
156
or
2
x
24 = 156
Answer: G
Chapter 1 Review
3. GRIDDED RESPONSE A car jack requires a
force of 110 pounds to lift a 2,500-pound car. In
simplest form, what is the ratio of the car’s weight
to the force required to lift the car?
Chapter 1 Review
3. GRIDDED RESPONSE A car jack requires a
force of 110 pounds to lift a 2,500-pound car. In
simplest form, what is the ratio of the car’s weight
to the force required to lift the car?
Car’s weight
Lift
Chapter 1 Review
3. GRIDDED RESPONSE A car jack requires a
force of 110 pounds to lift a 2,500-pound car. In
simplest form, what is the ratio of the car’s weight
to the force required to lift the car?
Car’s weight
Lift
2,500 lbs
110 lbs
Chapter 1 Review
3. GRIDDED RESPONSE A car jack requires a
force of 110 pounds to lift a 2,500-pound car. In
simplest form, what is the ratio of the car’s weight
to the force required to lift the car?
Car’s weight
Lift
2,500 lbs
110 lbs
=
250
11
Chapter 1 Review
4. A baker is making an oversized sheet cake for a
school dance. The recipe calls for 2 cups of sugar
for every 3 cups of flour. How many cups of flour
are needed, if she is using 18 cups of sugar.
A.
B.
C.
D.
27 cups
18 cups
9 cups
6 cups
Chapter 1 Review
4. A baker is making an oversized sheet cake for a
school dance. The recipe calls for 2 cups of sugar
for every 3 cups of flour. How many cups of flour
are needed, if she is using 18 cups of sugar.
A.
B.
C.
D.
27 cups
18 cups
9 cups
6 cups
Can we get rid of
any answers?
Chapter 1 Review
4. A baker is making an oversized sheet cake for a
school dance. The recipe calls for 2 cups of sugar
for every 3 cups of flour. How many cups of flour
are needed, if she is using 18 cups of sugar.
A.
B.
C.
D.
27 cups
18 cups
9 cups
6 cups
Can we get rid of
any answers?
Chapter 1 Review
4. A baker is making an oversized sheet cake for a
school dance. The recipe calls for 2 cups of sugar
for every 3 cups of flour. How many cups of flour
are needed, if she is using 18 cups of sugar.
2 cups sugar
3 cups flour
=
18 cups sugar
x cups flour
3 x 18 ÷ 2 = 27 cups flour
Answer: A
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
F. Sale A
G. Sale B
H. Sale C
I. Sale D
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
10 sheets
$2
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
10 sheets
5 sheets
$2
$1
=
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
10 sheets
5 sheets
$2
$1
=
6 sheets
$.60
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
10 sheets
5 sheets
$2
$1
6 sheets
$.60
=
10 sheets
= $1
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
10 sheets
5 sheets
$2
$1
6 sheets
$.60
5 sheets
$1
=
10 sheets
= $1
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
10 sheets
5 sheets
$2
$1
6 sheets
$.60
5 sheets
$1
3 sheets
$.60
=
10 sheets
= $1
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
10 sheets
5 sheets
$2
$1
6 sheets
$.60
=
10 sheets
= $1
5 sheets
$1
3 sheets
$.60
=
5 sheets
$1
Chapter 1 Review
5. Which rate gives the best price for scrapbook
paper?
10 sheets
5 sheets
$2
$1
6 sheets
$.60
=
10 sheets
= $1
5 sheets
$1
3 sheets
$.60
=
5 sheets
$1
Answer: G
Chapter 1 Review
6. Which of the following ratios
A. 10
12
B.
3
5
C.
15
17
10
D. 14
5
is equivalent to ?
7
Chapter 1 Review
6. Which of the following ratios
5
= .71428
7
A.
10
12
= .83333
B.
3
5
= .6
C.
15
17
= .88235
D.
10
14
= .71428
5
is equivalent to ?
7
Chapter 1 Review
7. The table shows the cups of whole wheat flour
required to make dog biscuits.
How many cups of whole wheat flour are required
to make 35 biscuits?
Chapter 1 Review
7. The table shows the cups of whole wheat flour
required to make dog biscuits.
How many cups of whole wheat flour are required
to make 35 biscuits?
10 biscuits
2 cups flour
=
35 biscuits
x cups flour 2 x 35 ÷ 10 = 7 cups
Chapter 1 Review
8. A school population was predicted to increase by
50 students a year for the next 10 years. If the
current population is 700 students, what will be
the enrollment after 10 years?
F. 50 students
G. 500 students
H. 1,200 students
I. 7,000 students
Chapter 1 Review
8. A school population was predicted to increase by
50 students a year for the next 10 years. If the
current population is 700 students, what will be
the enrollment after 10 years?
F. 50 students
G. 500 students
H. 1,200 students
I. 7,000 students
Can we get rid of any answers?
Chapter 1 Review
8. A school population was predicted to increase by
50 students a year for the next 10 years. If the
current population is 700 students, what will be
the enrollment after 10 years?
F. 50 students
G. 500 students
H. 1,200 students
I. 7,000 students
Can we get rid of any answers?
Chapter 1 Review
8. A school population was predicted to increase by
50 students a year for the next 10 years. If the
current population is 700 students, what will be
the enrollment after 10 years?
700 students + 50 a year x 10 years = 1200 students
Chapter 1 Review
8. A school population was predicted to increase by
50 students a year for the next 10 years. If the
current population is 700 students, what will be
the enrollment after 10 years?
700
750 – year 1
1000 – year 6
800 – year 2
1050 – year 7
850 – year 3
1100 – year 8
900 – year 4
1150 – year 9
950 – year 5
1200 – year 10
Chapter 1 Review
9. SHORT RESPONSE There are 12 boys and 15
girls in your class. Four new students, 3 boys and 1
girl, join your class. Compare the ratio of boys to
girls before and after the new students enrolled.
Chapter 1 Review
9. SHORT RESPONSE There are 12 boys and 15
girls in your class. Four new students, 3 boys and 1
girl, join your class. Compare the ratio of boys to
girls before and after the new students enrolled.
old
Boys
12
4
The ratio
Girls
15
5
.8
did not
stay the
new
same.
Boys
15
= =
Girls
16
=
.9375
Chapter 1 Review
10. The table shows the cost of different kinds of
fruit.
To the nearest cent, what is the cost of 3.5 pounds
of grapes?
A. $2.84
B. $2.88
C. $3.50
D. $3.63
Chapter 1 Review
10. The table shows the cost of different kinds of
fruit.
To the nearest cent, what is the cost of 3.5 pounds
of grapes?
$1
1 lb
=
$x
3.5 lbs
Answer: C
1 x 3.5 ÷ 1 = $3.50
Chapter 1 Review
11.GRIDDED RESPONSE Mr. Reinard bought 5
pounds of feed for his chickens for $10. How
much did the feed cost per pound in dollars?
Chapter 1 Review
11.GRIDDED RESPONSE Mr. Reinard bought 5
pounds of feed for his chickens for $10. How
much did the feed cost per pound in dollars?
$10
5 lbs feed
=
$x
1 lb feed
10 x 1 ÷ 5 = $2 per lb feed
Chapter 1 Review
12. SHORT RESPONSE The length of a track
1
around a football field is 4 mile. How many
3
miles do you walk if you walk 2 4 times around the
track?
Chapter 1 Review
12. SHORT RESPONSE The length of a track
1
around a football field is 4 mile. How many
3
miles do you walk if you walk 2 4 times around the
track?
1 lap
.25 mile
=
2.75 laps
x miles
.25 x 2.75 ÷ 1 = .6875 miles =
11
16
miles
Chapter 1 Review
13. The bar graph below shows the average number
of visitors to different websites during one
month.
How many visitors can
website B expect to have
in one year?
F. 2.4 million
G. 24 million
H. 240 million
I. 2,400 million
Chapter 1 Review
13. The bar graph below shows the average number
of visitors to different websites during one
month.
How many visitors can
website B expect to have
in one year?
2 million visitors
1 month
=
x million visitors
12 months
2 x 12 ÷ 1 = 24 million visitors
Answer: G
Chapter 1 Review
14. EXTENDED RESPONSE Cesar’s sixth-grade class
sorted books in the library. The class sorted 45 books
in 90 minutes.
Part A Write an equivalent ratio to find how long it
would take to sort 120 books.
Part B How many hours will it take the class to sort
120 books?
Part C Suppose their rate slowed to 30 books in 90
minutes. How long would it take the class to sort the
120 books? Explain your reasoning.
Chapter 1 Review
14. EXTENDED RESPONSE Cesar’s sixth-grade
class sorted books in the library. The class sorted
45 books in 90 minutes.
Part A Write an equivalent ratio to find how long it
would take to sort 120 books.
45 books
90 minutes
=
120 books
x minutes
90 x 120 ÷ 45 = 240 minutes
Chapter 1 Review
14. EXTENDED RESPONSE Cesar’s sixth-grade
class sorted books in the library. The class sorted
45 books in 90 minutes.
Part B How many hours will it take the class to sort
120 books?
Chapter 1 Review
14. EXTENDED RESPONSE Cesar’s sixth-grade
class sorted books in the library. The class sorted
45 books in 90 minutes.
Part B How many hours will it take the class to sort
120 books?
1 hour
60 minutes
=
x hours
240 minutes
1 x 240 ÷ 60 = 4 hours
Chapter 1 Review
14. EXTENDED RESPONSE Cesar’s sixth-grade
class sorted books in the library. The class sorted
45 books in 90 minutes.
Part C Suppose their rate slowed to 30 books in 90
minutes. How long would it take the class to sort
the 120 books? Explain your reasoning.
Chapter 1 Review
14. EXTENDED RESPONSE Cesar’s sixth-grade
class sorted books in the library. The class sorted
45 books in 90 minutes.
Part C Suppose their rate slowed to 30 books in 90
minutes. How long would it take the class to sort
the 120 books? Explain your reasoning.
30 books
90 minutes
=
120 books
x minutes
90 x 120 ÷ 30 = 360 minutes
Chapter 1 Review
14. EXTENDED RESPONSE Cesar’s sixth-grade
class sorted books in the library. The class sorted
45 books in 90 minutes.
Part C Suppose their rate slowed to 30 books in 90
minutes. How long would it take the class to sort
the 120 books? Explain your reasoning.
Reasoning: it would take the class 360 minutes or 6
hours to collect 120 books at the slower rate.
Chapter 1 Review
Agenda Notes
Homework–
Homework Practice OAA - CH1a
Due Tuesday, April 8
Final Exam
Friday, April 25