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Scale Scale DrawingsDrawings

I CAN…I CAN…

Find missing Find missing measurements measurements

using scale using scale drawings.drawings.

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Vocabulary Vocabulary

Scale drawingScale drawing—A drawing that is —A drawing that is similar but either larger or smaller than similar but either larger or smaller than the actual object.the actual object.

ScaleScale—On a map, intervals used —On a map, intervals used representing the ratio of distance on the representing the ratio of distance on the map to the actual distance.map to the actual distance.

Scale DrawingScale Drawing The distance on the The distance on the map between Coral map between Coral Springs and Fort Springs and Fort Lauderdale is about Lauderdale is about 4.1 cm. 4.1 cm.

We can use We can use proportions to proportions to calculate the actual calculate the actual distance between the distance between the two locations.two locations.

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Map Map 1 cm 1 cm = = 4.1 cm4.1 cm

Actual 4.5 km d Actual 4.5 km d

Cross Multiply, then solve. Cross Multiply, then solve.

d = 18.5 km d = 18.5 km

On the map, the On the map, the distance distance between between Portland and Portland and Olympia is Olympia is about 1 7/8 about 1 7/8 inches.inches.

What is the What is the actual distance?actual distance?

Remember: Remember: mapmap

actualactual

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If the scale on a map of Kentucky reads 1 If the scale on a map of Kentucky reads 1 inch = 4.2 miles, and the distance between inch = 4.2 miles, and the distance between Somerset and Middlesboro on the map Somerset and Middlesboro on the map measures 13.5 inches, how many actual measures 13.5 inches, how many actual miles apart are they?miles apart are they?

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VocabularyVocabulary

Scale factorScale factor—A scale written as a ratio —A scale written as a ratio in simplest form.in simplest form.

Scale modelScale model—A model used to —A model used to represent something that is too large or represent something that is too large or too small for an actual size model.too small for an actual size model.

Find the Scale FactorFind the Scale Factor

1.1. Find the scale factor of a blueprint if the Find the scale factor of a blueprint if the scale is 1 inch = 8 feet. scale is 1 inch = 8 feet.

2.2. On a scale drawing of a new classroom, On a scale drawing of a new classroom, the scale is 1 cm = 2.5 m. What is the the scale is 1 cm = 2.5 m. What is the scale factor?scale factor?

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Designers are creating a larger Designers are creating a larger model of the computer memory model of the computer memory board to use in design work. If board to use in design work. If they use a scale of 20 inches = 1 they use a scale of 20 inches = 1 inch, what is the length of the inch, what is the length of the model?model?

Scale: Length of Model:Scale: Length of Model:

Model Model == modelmodel

actual actualactual actual

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Map ActivityMap Activity

Using the map of North America, pick a Using the map of North America, pick a vacation destination that you would like vacation destination that you would like to visit. to visit.

Next, using a ruler, measure the distance Next, using a ruler, measure the distance in centimeters between Nashville (that is in centimeters between Nashville (that is the nearest airport) and your destination.the nearest airport) and your destination.

Now you are going to calculate the actual Now you are going to calculate the actual distance between the two locations. distance between the two locations.

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AssignmentAssignment

Using grid paper, make a scale drawing Using grid paper, make a scale drawing of your ideal bedroom (imagine that you of your ideal bedroom (imagine that you have won an extreme makeover contest).have won an extreme makeover contest).

Be sure to use a ruler! You should also Be sure to use a ruler! You should also draw furniture that is rectangular in shape draw furniture that is rectangular in shape in your room. in your room.

Come up with a scale for your drawing.Come up with a scale for your drawing. Using your scale, calculate the actual Using your scale, calculate the actual

dimensions of your room (length, width).dimensions of your room (length, width).1111

Lastly, you are going to write 3-5 quiz Lastly, you are going to write 3-5 quiz questions regarding your scale drawing. questions regarding your scale drawing.

Examples:Examples:

1.1.If the scale of my drawing is If the scale of my drawing is

1 cm = 4.5m, what is the scale factor?1 cm = 4.5m, what is the scale factor? Tomorrow you will exchange scale Tomorrow you will exchange scale

drawings and questions with a classmate drawings and questions with a classmate to test your knowledge!to test your knowledge!

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Find the actual distance between each Find the actual distance between each pair of cities. Round to the nearest pair of cities. Round to the nearest tenth if necessary.tenth if necessary.Cities Map

DistanceScale

Kokomo, Indiana and Chicago, Illinois

8 cm 1 cm = 25 km

Raleigh and Charlotte, North Carolina

3.25 in 1 in = 40 mi

Virginia Beach, Virginia and Washington, D.C.

8.5 cm 1 cm = 30 km

Cities Map Distance

Scale

Mobile and Huntsville, Alabama

14.5 in 1 in = 20 mi

Knoxville, Tennessee and Choctaw, Oklahoma

19.28 cm 2 cm = 125 km

Quebec, Canada and Paris, France

4.625 in .5 in = 355 mi