Original / New Image
The figures on the left side of your paper!
Original: length of 5cm, width of 2cm
New: width of 6cm, length of 15cm
Scale Factor: _________
a) Side lengths: ______ times bigger.
* Ratio of corresponding sides is ________ to scale factor.
Original: length of 5cm, width of 2cm
New: width of 6cm, length of 15cm
Scale Factor: ___3____
a) Side lengths: __3___ times bigger.
* Ratio of corresponding sides is __equal__ to scale factor.
Number 1 on Scale Drawings/Models & Scale Factor
Distance on a scale drawing or model are ___________ to the real life distance they represent.
Proportional
Number 1 on Find Missing Side Length
side AB = 6m, side BC = 8m, side CA = 10m
side DE = X, side EF = 4m, side FD = 5m
X = ________
X = 3m
Number 1 on Find Missing Side Lengths Day 2:
Triangle 1: Height = x, Base = 20 ft
Triangle 2: Height = 4ft, Base = 8 ft
X = ________
X = ___10ft_____
The scale drawing on the Scale Drawing: Area and Perimeter sheet for question 1 shows an enlarged computer chip. When measured, each side of the scale drawing of the square chip is 4 cm.
a) What is the perimeter of the drawing?
b) What is the perimeter of the actual chip?
c) What is the area of the drawing?
d) What is the area of the actual chip?
a) 16 cm
b) 32 mm
c) 16 cm squared
d) 64 mm squared
The figures on the left side of your paper!
Original: length of 5cm, width of 2cm
New: width of 6cm, length of 15cm
b) Perimeter: ______ times bigger.
* Ratio of perimeter is _______ to scale factor.
Original: length of 5cm, width of 2cm
New: width of 6cm, length of 15cm
b) Perimeter: __3___ times bigger.
* Ratio of perimeter is _equal__ to scale factor.
Number 5 on Scale Drawings/Models & Scale Factor
Suppose a scale model has a scale of 2 inches = 3 feet. What is the scale factor?
1 : 18
Number 2 on Find missing Side Lengths
side AB = X, side BC = 5cm, side CA 14cm
side DE = 12cm, side EF = 15cm, FD 42cm
X = ______
X = 4cm
Number 2 on Find Missing Side Lengths Day 2:
X = _______
X = __11.25cm___
The scale drawing on the Scale Drawing: Area and Perimeter sheet for question 2 shows a miniature glass mosaic tile which helps you to see the detailing on the tile.
a) What are the perimeter and area of the scale drawing?
b) What is the perimeter and area of the actual tile?
a) Perimeter = 16 cm , Area = 16 cm squared
b) Perimeter = 64 mm , Area = 256 mm squared
The figures on the left side of your paper!
Original: length of 5cm, width of 2cm
New: width of 6cm, length of 15cm
c) Area: ______ times bigger.
* Ratio of areas is _______ to scale factor _______.
Original: length of 5cm, width of 2cm
New: width of 6cm, length of 15cm
c) Area: __9___ times bigger.
* Ratio of areas is _equal__ to scale factor _squared__.
Number 4 on Scale Drawings/Models & Scale Factor
On a map of Florida, the distance between Coral Springs and Fort Lauderdale is about 4.1 centimeters. The scale on the map is 1 centimeter = 4.5 kilometers. What is the actual distance?
(1cm)/(4.5km)=(4.1cm)/(x)
x=18.45km
Number 3 on Find Missing Side lengths
side AB = 12m, BC = 16m, side CA = 28m
side DE = X, side EF = 4m, side FD = Y
X = ______ , Y = ______
X = __3m___ , Y = __7m__
Number 3 on Find Missing Side Lengths Day 2:
x = _______
x = __42in___
What is the actual perimeter and area of the mater bedroom in the blueprint on question 3 of Scale Drawings: Area and Perimeter?
Perimeter = 42 ft
Area = 108 ft squared
The figures on the right side of your paper!
Original: length of 12cm, width of 8cm
New: width of 4cm, length of 6cm
Scale Factor: _______
a) Side lengths: ______ times smaller; or _______ the side of the original.
* Ratio of corresponding sides is ________ to scale factor.
Original: length of 12cm, width of 8cm
New: width of 4cm, length of 6cm
Scale Factor: __1/2__ or __.5___
a) Side lengths: __2__ times smaller; or _half_ the side of the original.
* Ratio of corresponding sides is _equal__ to scale factor.
Number 3 on Scale Drawings/Models & Scale Factor
On the blueprint of the pool, each grid square has a side length of .25 inches. What is the actual width of the pool?
(.25 inches)/(2 feet)=(1.5 inches)/x feet
x=12 feet
Number 4 on Find Missing Side Length
side AB = X, BC = Y, CA = 15m
side DE = 6m, EF = 4m, FD = 7.5m
X = _____ Y = ______
X = _12m__ Y = __8m___
Number 5 on Find Missing Side Lengths Day 2:
Jacob wants to use a mirror to calculate the height of the flagpole at school. The distance from Jacob's eye to the ground is 54inches. Jacob is standing 75 inches from the mirror. The base of the flagpole is 600 inches from the mirror.
Identify two similar triangles you can create to help solve this problem. Label the side lengths with the known information. Using proportions, find the height of the flagpole.
DRAW AND LABLE THE TRIANGLES!
Flagpole height = ___________
Flagpole height = __432 inches___
Tyson created a scale drawing of his school using the scale 1in = 3ft. What is the actual area of his school in square feet.
* Use number 4 from the Scale Drawings: Area and Perimeter worksheet *
Area = 3,420 ft squared
The figures on the right side of your paper!
Original: length of 12cm, width of 8cm
New: width of 4cm, length of 6cm
b) Perimeter: ______ times smaller; or ______ of the size.
* Ratio of perimeter is _______ to scale factor.
c) Area: ______ times smaller; or _______ of the size.
* Ratio of areas is _______ to scale factor ______.
b) Perimeter: _2__ times smaller; or _1/2__ of the size.
* Ratio of perimeter is _equal__ to scale factor.
c) Area: _4__ times smaller; or _1/4__ of the size.
* Ratio of areas is __equal___ to scale factor _squared__.
Number 2 on Scale Drawings/Models & Scale Factor
The ________ is the ratio of a given length on a drawing or model to its corresponding actual length.
Scale
Number 5 on Find Missing Side Length
side WX 12in, XY = 9in, YW = X
side HI = Y, side IJ = 4.5in, side JH = 12in
X = _____ Y = ______
X = __24in___ Y = __6in___
Number 5 on Find Missing Side Lengths Day 2:
Juanita needs enough rope to go across a deep river and tie it to the tree on the right. He thinks he can use information he knows combined with similar triangles to figure out how much rope he will need. On your paper shows what he knows. See if you can calculate how much rope he needs to go across the river.
DRAW AND LABLE THE TRIANGLES!
He will need ______ of rope to cross the river.
He will need _78m_ of rope to cross the river.
65/10=x/12
780 = 10x
78m = x
Central Park is a rectangular park in New York City, NY. A scale drawing of the park is shown in number 5 on the Scale Drawings: Area and Perimeter worksheet.
What is the actual area and perimeter of the park?
Perimeter = 9,280 m
Area = 3,072,000 m squared