Scale Drawings and Scale Factor

? 2011 Carnegie Learning

Scale Drawings

and Scale Factor

Fleas

are some of the

animal kingdom¡¯s most

amazing athletes. Though

they are on average only __??161 ?

inch long, they can leap up to

seven inches vertically and

thirteen inches horizontally.

This helps them attach

themselves to warm-blooded

hosts, such as people,

dogs, or cats.

11.1 Bigger and Smaller

Scale Drawings, Scale Models,

and Scale Factors....................................................... 545

11.2 Say Cheese!

Applications of Ratio................................................... 553

11.3 No GPS? Better Get the Map Out!

Exploring Scale Drawings. ...........................................563

11.4 Houses for Our Feathered Friends!

Creating Blueprints..................................................... 577

543

? 2011 Carnegie Learning

544??? ???? Chapter 11??? Scale Drawings and Scale Factor

Bigger and Smaller

Scale Drawings, Scale Models,

and Scale Factors

Learning Goals

Key Term

In this lesson, you will:

? scale factor

? Use scale models to calculate

measurements.

? Use scale factors to enlarge and

shrink models.

S

ome professional basketball players can jump really high to dunk the ball on a

10-foot-tall goal. But those athletes have got nothing on fleas. These parasitic

insects, which spend their time trying to suck the blood from other animals, can

jump as high as seven inches.

1

That doesn¡¯t sound impressive unless you know that a flea is only about ___

?? ??inch

16

long, which means that a flea can jump more than 100 times its own length!

If you could jump like a flea, how high could you jump? What tall buildings could

? 2011 Carnegie Learning

you leap in a single bound?

11.1??? Scale Drawings, Scale Models, and Scale Factors??? ???? 545

Problem 1

Scale Drawings

1. Emma enrolled in a sailing class. This diagram of a sailboat is on the first page of ?

her text.

Mainsail

Hull

Jib Sheet

Rudder

Centerboard

She decided to enlarge the diagram on a separate piece of paper as shown.

Mainsail

Centerboard

546??? ???? Chapter 11??? Scale Drawings and Scale Factor

Rudder

? 2011 Carnegie Learning

Hull

Jib Sheet

2. Determine the geometric shape that best describes each part of the sailboat.

¡ñ

Mainsail

¡ñ

Hull

¡ñ

Centerboard

¡ñ

Jib Sheet

¡ñ

Rudder

3. Use a centimeter ruler to measure the dimensions of the Mainsail in the text and the

Mainsail in Emma¡¯s enlargement of the diagram.

4. The ratio of side lengths in the enlargement to those of the original figure is called the

scale factor. Determine the scale factor Emma used to create the enlargement of

the diagram.

A blueprint is an example of a scale drawing that represents a larger structure. The

blueprint shown will be used for the construction of a new house.

HERS

BED 2

PORCH

11¡ä-10¡å ¡Á 13¡ä-5¡å

9¡ä-0Clg. Hgt

MASTER BED

15¡ä-6¡å ¡Á 14¡ä-10¡å

BREAKFAST 9¡ä-0/11¡ä Trey Clg. Hgt

11¡ä-5¡å ¡Á 9¡ä-2¡å

9¡ä-0Clg. Hgt

27¡ä-10¡å ¡Á 10¡ä-11¡å

M. BATH

9¡ä-0 Clg. Hgt

FAMILY ROOM

B-2

BED 3

17¡ä ¡Á 17¡ä-11¡å

9¡ä/10/11¡ä TREY Clg. Hgt

KITCHEN

14¡ä-11¡å ¡Á 14¡ä-2¡å

9¡ä-0 Clg. Hgt

UTILITY

STORAGE

DINING ROOM

GALLERY

13¡ä ¡Á 11¡ä

FOYER 10¡ä-0¡ä¡ä Clg. Hgt

12¡ä-2¡å ¡Á 11¡ä-10¡å

9¡ä-0 Clg. Hgt

LIN.

HIS

2 CAR GARAGE

22¡ä ¡Á 23¡ä

BED 4 /

STUDY

PORCH

? 2011 Carnegie Learning

STORAGE

5. Use a centimeter ruler to determine the scale

factor used to create the blueprint.

Do I have

to measure

everything?

11.1??? Scale Drawings, Scale Models, and Scale Factors??? ???? 547

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