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150 miles. 3. . 1. . ? miles. $ 12. $ ?. =. =. 1 day. 1 week. 1 hours. 1 minute. 1050 mi. $.20. ANSWER. ANSWER. 2 pints. 320 calories. ? calories. 1 person. 2. 4. ? cups. =. =. 1 cup. 1 fluid ounce. 1 person. 4 c. 40 cal. ANSWER. ANSWER. Bell Work.

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Presentation Transcript
slide1

150 miles

3.

1.

? miles

$ 12

$ ?

=

=

1 day

1 week

1 hours

1 minute

1050 mi

$.20

ANSWER

ANSWER

2 pints

320 calories

? calories

1 person

2.

4.

? cups

=

=

1 cup

1 fluid ounce

1 person

4 c

40 cal

ANSWER

ANSWER

Bell Work

Write the equivalent rate.

Hint: 1 pint = 2 cups

Hint: 1 cup = 8 fluid ounces

slide3

b

49.6

=

1.8

14.4

14.4b

=

1.8(49.6)

14.4b

=

89.28

89.28

14.4

=

b

14.4

89.28

b

=

6.2

Review

Solve the proportion. Then check your solution.

Cross products property

Multiply.

Divide each side by 14.4.

slide4

72 bundles

ANSWER

ANSWER

75 mi

ANSWER

225 min

Review

Use the cross products property to solve the proportion.

A man rides his bike at a constant speed for 2 hours and travels 30 miles. If he were to continue riding at the same constant speed, how many miles would he travel in 5 hours?

A teacher can grade 4 tests in 25 minutes. At this rate, how long will it take her to grade 36 tests?

If three bundles of shingles cover 75 square feet of a roof, how many bundles will it take to cover a roof that is 1800 square feet?

scale drawing
Scale Drawing
  • A scale drawing represents something that is too large or too small to be drawn at its actual size.
  • Maps and blueprints are examples of scale drawings.
scale
Scale
  • In math, scale shows the relationship between two things as well.
  • With maps, it is usually between a distance measured on the map and the actual distance on the ground.
slide7

A scale drawing is a diagram of an object in which the dimensions are in proportion to the actual dimension of the object.

The scale on a scale drawing tells how the drawing’s dimensions and the actual dimensions are related. The scale “1 in. : 12 ft.” means that for every 1 inch you have 12 feet.

slide8

centimeters

=

On the map, the distance between China and New Sweden is 4.5 centimeters. Use the map of Maine to find the distance between the towns of China and New Sweden. Write and solve a proportion to find the distance between the towns.

kilometers

65 x 4.5

1d=

ANSWER

The actual distance between China and

New Sweden is about 292.5kilometers.

1

4.5

65

d

Using the Scale of a Map

SOLUTION

d = 292.5

slide9

ANSWER

The actual distance between Paris and Marshfield

is about 250 kilometers.

3.85

centimeters

=

d

1

kilometers

65

1d=

3.85 x 65

Use the map to find the distance (in kilometers) between Paris and Marshfield. On the map the distance between Paris and Marshfield is 3.85 centimeters. Write and solve a proportion to find the distance d between the towns.

SOLUTION

d = 250.25

slide10

You Try:

The scale on a map is 1 cm : 12 km. Find the actual distance in kilometers for the given length on the map.

4 cm

x = 12 x 4; 48 km

=

7.25 cm

X = 12 x 7.25; 87 km

=

6 cm

X = 12 x 6 ; 72 km

=

scale drawings1
Scale Drawings

Strawberry Point, Iowa, has a strawberry sculpture that is 15 feet tall. If the scale of this model is 10 feet to 1 inch. How tall was the original strawberry?

solution

ANSWER

The original strawberry was 1.5 inches

Solution

H = 1.5 inches

slide13

Finding a Dimension on a Scale Model

h

scale model

=

85

There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1 : 25. The height of the main building of the White House is 85 feet. Find this height on the model.

building

1 x 85 =

25 h

ANSWER

The height of the main building of the model is 3.4 feet.

1

25

SOLUTION

Cross products property

3.4 = h

Divide each side by 25.

slide14

ANSWER

The height of Eiffel Tower is about 300 m.

12

scale model

=

h

1

Eiffel Tower

25

1h=

25 x 12

The model of the Eiffel Tower in Paris is 12 meters high. Use the scale factor of 1 : 25in to estimate the height of the actual Eiffel Tower.

SOLUTION

Cross products property

h = 300

slide15

You try:

Models of buildings in Detroit, Michigan were created by using a scale of 1 in. : 50 ft.

Find the height of the model in inches for the given height of the building.

Marriott Hotel: 725 ft.

=

14.5 inches

Book Tower: 472 ft.

=

9.44 inches

slide16

Practice:

Scale Drawing Worksheet