Enriched Pre­Algebra ­ Scale Drawings and Models (Chapter 4­6)
Enriched Pre-Algebra
Scale Drawings and Models
On a map of the United States,
the scale is 1 inch = 120 miles.
Find the actual distance for
each map distance.
Scale Drawing: A drawing that is similar,
but either larger or smaller than the actual
object.
Scale Model: A replica of an original
object that is too large or too small to
be built at actual size.
Scale: The ratio of a given length on a
drawing or model to its corresponding
length in reality.
Finding the actual distance steps:
1.)
2.)
• Set up a proportion.
• The first ratio is the scale.
• The second ratio is the length (model)
over the length (actual).
• Solve the proportion to find the missing
measurement.
Finding the scale steps:
1. Make a ratio (
2. Set up a proportion:
Length of object
).
Model Scale
= 3. Solve the proportion.
Finding the scale factor steps:
For Exercises 3 and 4, use the
following information.
At 555 feet tall, the Washington
Monument is the highest all-masonry
tower.
3. A scale model of the monument
is 9.25 inches high. What is the
model’s scale?
1. Write your map scale in fraction form.
2. Convert the actual distance measurement
(meters for example) into map distance
(centimeters for example).
3. Your fraction should now have the same
type of measurement (both cm for example)
on the numerator and the denominator.
4. This fraction tells you that each distance on
the map is “said fraction”
(for example)
the actual distance.
4. What is the scale factor?
1
Enriched Pre­Algebra ­ Scale Drawings and Models (Chapter 4­6)
Enriched Pre-Algebra
Scale Drawings and Models
On a map of the United States,
the scale is 1 inch = 120 miles.
Find the actual distance for
each map distance.
Scale Drawing: A drawing that is similar,
but either larger or smaller than the actual
object.
Scale Model: A replica of an original
object that is too large or too small to
be built at actual size.
Scale: The ratio of a given length on a
drawing or model to its corresponding
length in reality.
Finding the actual distance steps:
1.)
2.)
• Set up a proportion.
• The first ratio is the scale.
• The second ratio is the length (model)
over the length (actual).
• Solve the proportion to find the missing
measurement.
Finding the scale steps:
1. Make a ratio (
2. Set up a proportion:
Length of object
).
Model Scale
= 3. Solve the proportion.
Finding the scale factor steps:
For Exercises 3 and 4, use the
following information.
At 555 feet tall, the Washington
Monument is the highest all-masonry
tower.
3. A scale model of the monument
is 9.25 inched high. What is the
model’s scale?
1. Write your map scale in fraction form.
2. Convert the actual distance measurement
(meters for example) into map distance
(centimeters for example).
3. Your fraction should now have the same
type of measurement (both cm for example)
on the numerator and the denominator.
4. This fraction tells you that each distance on
the map is “said fraction”
(for example)
the actual distance.
4. What is the scale factor?
2
Enriched Pre­Algebra ­ Scale Drawings and Models (Chapter 4­6)
Enriched Pre-Algebra
Scale Drawings and Models
On a map of the United States,
the scale is 1 inch = 120 miles.
Find the actual distance for
each map distance.
Scale Drawing: A drawing that is similar,
but either larger or smaller than the actual
object.
Scale Model: A replica of an original
object that is too large or too small to
be built at actual size.
Scale: The ratio of a given length on a
drawing or model to its corresponding
length in reality.
Finding the actual distance steps:
1.)
2.)
• Set up a proportion.
• The first ratio is the scale.
• The second ratio is the length (model)
over the length (actual).
• Solve the proportion to find the missing
measurement.
Finding the scale steps:
1. Make a ratio (
2. Set up a proportion:
Length of object
).
Model Scale
= 3. Solve the proportion.
Finding the scale factor steps:
For Exercises 3 and 4, use the
following information.
At 555 feet tall, the Washington
Monument is the highest all-masonry
tower.
3. A scale model of the monument
is 9.25 inched high. What is the
model’s scale?
1. Write your map scale in fraction form.
2. Convert the actual distance measurement
(meters for example) into map distance
(centimeters for example).
3. Your fraction should now have the same
type of measurement (both cm for example)
on the numerator and the denominator.
4. This fraction tells you that each distance on
the map is “said fraction”
(for example)
the actual distance.
4. What is the scale factor?
3
Enriched Pre­Algebra ­ Scale Drawings and Models (Chapter 4­6)
4