1. Scale Figures On Core.notebook April 09, 2013
AIM: Scale
Do Now
A A, C, and E
B B, C, and D
C B, E, and F
D A, B, and E
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2. Scale Figures On Core.notebook April 09, 2013
A blueprint is a technical drawing that usually
displays architectural plans. Pete's blueprint shows a
layout of a house. Every 4 inches in the blueprint is 3
feet in the actual house. One of the walls in the
blueprint is 24 inches long. What is the actual length
of the wall?
16in
24in
A.) Complete the table to find the actual length of the
wall.
Blue
4 8 12 16 20 24
Print (in)
Actual
3 6
length(ft)
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3. Scale Figures On Core.notebook April 09, 2013
1a. In Pete's blueprint the 1b. The back wall of the
house is 33feet long. What
length of a side wall is 16
is the length of the back
inches. Find the actual length
wall in the blueprint?
of the wall
1c. How do you know your answer to 1b is reasonable?
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4. Scale Figures On Core.notebook April 09, 2013
A Scale drawing is a proportional two-dimensional drawing
of an object. Scale drawings can represent objects that
are smaller or larger than the actual object.
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5. Scale Figures On Core.notebook April 09, 2013
• A Scale is a ratio between 2 sets of measurements. It
shows how dimensions in a scale drawing is related to the
actual object.
• Scales are usually shown as two numbers separated by a
colon such as 1:20 or 1cm:1m. Scales can be shown in the
same unit or different units.
• You solve scale-drawings problems by using
PROPORTIONAL REASONING
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6. Scale Figures On Core.notebook April 09, 2013
10cm
The figure at the right is a
scale drawing of a large 7cm
rectangular room. What is the
are of the actual room? 2cm = 5m
a.) Find the number of meters represented Scale
by 1cm in the drawing.
1cm in this drawing is equal to ____m in the actual room.
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7. Scale Figures On Core.notebook April 09, 2013
10cm
The figure at the right is a
scale drawing of a large 7cm
rectangular room. What is the
are of the actual room? 2cm = 5m
b.) Find the actual length of the room Scale
labeled 7cm in the drawing.
The length of the side labeled 7 cm represents _____m.
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8. Scale Figures On Core.notebook April 09, 2013
10cm
The figure at the right is a
scale drawing of a large 7cm
rectangular room. What is the
are of the actual room? 2cm = 5m
c.) Find the actual length of the room Scale
labeled 10cm in the drawing.
The length of the side labeled 10 cm represents _____m.
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9. Scale Figures On Core.notebook April 09, 2013
10cm
The figure at the right is a
scale drawing of a large 7cm
rectangular room. What is the
are of the actual room? 2cm = 5m
Since are is length times width, the area of the
actual room is:
_____m X ______ m = ______ m2
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10. Scale Figures On Core.notebook April 09, 2013
2a.) Find the length and width of the actual room, then
find the area of the room. Round your answer to the
nearest tenth.
6.5in
5in
3in:8ft
2b.) How can you solve 2 without having to determine the
number of meters represented by 1cm?.
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11. Scale Figures On Core.notebook April 09, 2013
In the scale drawing, assume the rectangle is drawn on
centimeter grid paper. The scale is 1cm:3m.
y
x
Suppose you redraw the rectangele on a centimeter grid
paper using the scale of 1cm:6m. In the new scale, 1cm
represents more than/less than 1cm in the old scale
The measurement of each side of the new rectangle will be
twice/half as long as the measurement of the original
rectangle.
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12. Scale Figures On Core.notebook April 09, 2013
B.) Draw the rectangle for the new scale 1cm:6m.
y
x
3a.) Find the actual length of each side of your original
drawing using the old scale, 1cm = 3m. Find the actual
length of each side of your new drawing using the new scale.
How do you know your answers are correct?
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13. Scale Figures On Core.notebook April 09, 2013
Homework
On Core Page 92 #1-4 all
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