Roofs
http://www.realtor.org/
rmo/architecture_guid
e/features/roofs.htm
Roofs serve an important
utilitarian purpose: keeping rain,
snow, and debris out of the
house. But they also add to a
home's character and style. The
material of roof is an important
element of design and an
indication of how long the roof
will last. A slate roof, for
example, can last from 70 to 125
years and is relatively
expensive; whereas an asphalt
tile roof is less expensive and
will last typically from 15 to 20
years.
is very common and has two
sloping planes that meet in a
central ridge.
Pavilion Hipped
Gambrel
Gambrel roofs have a shallow
slope over a steep slope. It is
typical of the Dutch colonial
architectural style and also
frequently seen on barns.
Hipped
Cross Gable
Cross gable roofs have two or
more gable rooflines that
intersect. A house with a basic
gable roof will have a
rectangular shape, but a house
with a cross gable roof can have
a more complex shape and
therefore a more complex layout.
19th century, and is often seen
on Victorian row houses.
Hipped roofs slope in four
directions. The "hip" is the angle
formed where two sloped sides
meet. This roof is used with
many different architectural
styles and is said to stand up to
hurricane winds better than a
gable roof.
Pavilion-hipped roofs have four
sloping planes that meet in a
single point. They are
sometimes also called pyramidhipped roofs and are typically
used on smaller buildings such
as a garage or pool house.
Saltbox
Saltbox roofs are typical of
colonial architecture in New
England. A saltbox house is two
stories high in the front and has
a low sloping roofline in the back
of the house. It is named after its
resemblance to saltboxes used
in colonial times.
Mansard
Front Gabled
Front-gabled houses have a
gable roof and the front door is
under the gable. The gable is the
area at the front and back of the
house beneath the pitched roof
that follows the roofline - it is
typically triangular. A gable roof
Mansard roofs have four sloping
sides, like a hipped roof, and
each side has a shallow slope
over a steep slope, similar to a
gambrel roof. There are almost
always dormers in a mansard
roof. Mansard is named after the
French architect Francois
Mansart (1598-1666), who was
known to use this style of roof.
This roof style was particularly
popular in the latter half of the
Side Gabled
Side gabled is descriptive word
for a house with its front door
under the side of a gabled roof.
Examples can be seen in many
residential styles, from a ranch
house to a Georgian house.
slope warning sign,
slope warning sign,
Nederland
Poland
The last sign shows a 1371 meters distance of a railroad with a 20‰ slope
Lets consider two staircases that are part of school. One close to the media center, and one when
we come up to the third flour. Which do you think is steeper? Why?
Architects and carpenters use rise and run to describe and build staircases. The picture below
shows the rise and run for each step and the total rise and run for the staircase.
total rise
1)An architect is designing a staircase for a house with a difference of 10 feet between floors.
The staircase has 18 steps and a total run of 14 feet.
a)What is the ratio (total rise/total run) of the staircase?
b) Find the rise and run for each step (what we'll call the step rise and run) in inches. What is the
ratio (step rise/step run)? Explain your answer.
2. A direct variation is a situation in which two quantities -- such as hours and pay, or distance
and time -- increase or decrease at the same rate. The ratio between the quantities is constant;
that is, as one quantity doubles, the other quantity also doubles.
A mechanic who is paid hourly knows that working longer means making more money. That's
because his pay varies directly as the number of hours worked. As his hours increase, so does the
amount of his paycheck.
A racecar driver knows that completing 100 laps before making a pit stop is better than
completing only 80, because distance is directly proportional to time when driving at a constant
speed. The longer she drives, the more distance she'll cover.
3)Work with graphing calculator investigation pg. 265
Write your conclusions for 1-6
The slope can be positive k>0
The slope can be negative k<0
4) A straight line with slope 5 contains the points (1,2) and (3,K). Find the value of K.
5) Which equation represents the direct variation relationship of the equation
x 1
y 2
[A] y3x
[B] yx1
[C] x2y
[D] y2x
6) Which table does not show an example of direct variation?
a)
b)
c)
d)
7)
Who climbed the steepest slope?
The Royal Mountaineering Society has a dilemma. This year, 3 climbers are
competing for the Steepmeister Cup, an award given to the person who climbs the
steepest slope. The Society's membership has to determine who the winner is based
on two points from each member's climb. Determine which mountaineer climbed
the steepest slope.
Bim Sala Bim climbed Mount
Umpa on the Northern Range of
the Wowie Mountains. He ate only
chocolate chip cookies during the
climb.
The coordinates of
Mount Umpa:
(25,1), (190, 75)
Martha Higgenbothom climbed
the mountain known only as K13.
Her trusty yeti guide was the only
company she had during the long
climb. They plan on getting
married after the award ceremony.
The coordinates of
K13:
(16,9), (88, 67)
Jed Muckenhaupt climbed the
perilous peaks of Mount Penndot.
Many of the paths were blocked
and in bad repair. He had to make
many detours to get to the top.
The coordinates of
Mount Penndot:
(7,31), (123,140
HW Come up with a short essay on why slope is an important concept in our lives. Come up with two
real life examples other than what we saw today.