Proportion Test Intervention3x

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Transcript Proportion Test Intervention3x

Slide 1

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 2

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 3

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 4

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 5

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 6

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 7

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 8

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 9

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.


Slide 10

Proportion Test
Intervention
Fix your test for half credit!

Oscar and his father are standing side by side with
the sun behind them, as shown.
𝟏
Oscar’s shadow is 7 feet long. How long is his
𝟐
father’s shadow?
Set up your
A. 4 feet
𝟏
πŸ’
𝟏
𝟐

B. 6 feet
C. 8 feet

D. 9 feet

proportion using

π·π‘Žπ‘‘
π‘‚π‘ π‘π‘Žπ‘Ÿ

or

π»π‘’π‘–π‘”β„Žπ‘‘
π‘†β„Žπ‘Žπ‘‘π‘œπ‘€

Dan created a map of the state of Ohio using a scale
factor of 2 centimeters: 25 miles. The actual
distance of Cleveland to Columbus is 142 miles.
About how far apart are Cleveland and Columbus on
Dan’s map?
A. 5.7 cm
π‘π‘š
2
B. 11.4 cm
= =
π‘šπ‘–π‘™π‘’π‘  25
C. 71.0 cm
D. 1,775.0 cm

Manny surveyed 24 of his classmates about their
vacation plans. The bar graph shows the results.
Manny’s class is representative of the entire school.
What is a reasonable estimate for how many of the
300 students in the school have no vacation plans?
A. 50 students
B. 75 students
C. 100 students
D. 125 students
π‘›π‘œ π‘π‘™π‘Žπ‘›π‘ 
𝑠𝑑𝑒𝑑𝑒𝑛𝑑𝑠

=

6
24

=

Rani has determined that 10 beans weigh
0.25 ounces. About how many beans are
their in a bag that weighs 12 ounces?
1.
2.
3.
4.

48
120
400
480

π‘π‘’π‘Žπ‘›π‘ 
π‘œπ‘’π‘›π‘π‘’π‘ 

=

10
.25

=

A microwave oven costs $92. It is on sale for
15% off. Which proportion can be used to find
the final price (n) of the microwave oven?
A.

B.
C.
D.

πŸ–πŸ“
𝒏
=
𝟏𝟎𝟎
πŸ—πŸ
𝐧
= πŸ—πŸ
𝟎.πŸπŸ“
πŸ—πŸ
πŸ–πŸ“
=
𝟏𝟎𝟎
𝟏𝟎𝟎
πŸ—πŸ
πŸπŸ“
=
𝒏
𝟏𝟎𝟎

Things to consider…
β€’ $92 is the whole
original price
β€’ A 15% discount means
you will pay (100-15)%
of the original price

Dave wants to estimate the distance from Harrisburg
to Jonestown. The distance on the map is about 13
inches. The scale on the map indicates that 2.5
inches = 6 miles. About how many miles is it from
Harrisburg to Jonestown?
A.
B.
C.
D.

5 miles
15 miles
31 miles
39 miles

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘šπ‘–π‘™π‘’π‘ 

=

2.5
6

=

At the start of each soccer season, Lucy uses the
diagram shown to help her put lines on the soccer
field.
Her diagram is torn and part of the key is missing.
She knows that the actual soccer field is 110 yards
long. What should the key say?
1.
2.
3.
4.

1 inch = 5 yards
1 inch = 11 yards
1 inch = 22 yards
1 inch = 110 yards

π‘–π‘›π‘β„Žπ‘’π‘ 
π‘¦π‘Žπ‘Ÿπ‘‘π‘ 

1
π‘₯

= =

22
110

Find the value of x to the nearest
tenth.
πŸ‘πŸ
𝒙
=
πŸ“πŸ•

A.
B.
C.
D.

8.40
8.42
9.41
8.00

πŸπŸ“

1. Cross multiply
2. Then divide

A drawing for a house that uses the scale of
inch = 1 foot.
π‘–π‘›π‘β„Žπ‘’π‘ 
𝑓𝑒𝑒𝑑

=

1
4

1

𝟏
πŸ’

=

Do this for each dimension
(twice).

The dimensions of a kitchen on the drawing are
2 inches by 4 inches. In the space below,
determine the actual dimensions of the
kitchen. Show or describe how you found the
length and width. Label your answer with
appropriate units.