Name:
Period:
Date:
PROPORTIONS PROJECT
Goal:
Students will find the dimensions of objects in real life using pictures and proportions
Include in your project:
1.
2.
3.
4.
Three pictures of you standing next to visible objects
Measurements of you and the object according to the picture
Measurements of you and the object according to real life
The scale selected to shrink the picture
llustration:
1
Step 1: Measure the height of the object in the picture in inches. (Round to the nearest 8 inch)
OBJ 1 Height __________
OBJ 2 Height __________
OBJ 3 Height _________
1
Step 2: Measure the height of yourself in the picture in inches. (Round to the nearest 8 inch)
Pic 1 Height __________
Pic 2 Height __________
Pic 3 Height _________
1
8
Step 3: Measure the height of yourself in real life in inches. (Round to the nearest inch)
Your Actual Height _________
Step 4: Set up a proportion, and find the height of the object as it is in real life. SHOW YOUR
WORK.
 i.e.:
𝑂𝐵𝐽 1 𝐻𝑒𝑖𝑔ℎ𝑡
𝑃𝑖𝑐 1 𝐻𝑒𝑖𝑔ℎ𝑡
OBJ 1 Real Height __________
=
𝑂𝐵𝐽 1 𝑅𝑒𝑎𝑙 𝐻𝑒𝑖𝑔ℎ𝑡
𝑌𝑜𝑢𝑟 𝐴𝑐𝑡𝑢𝑎𝑙 𝐻𝑒𝑖𝑔ℎ𝑡
OBJ 2 Real Height __________
OBJ 3 Real Height __________
Step 5: Identify the scale factors used to shrink the measurements of you and the objects to the
ones shown in the pictures. SHOW YOUR WORK.
Scale factor 1 __________
Scale factor 2 __________
 i.e.: 𝑆𝑐𝑎𝑙𝑒 𝑓𝑎𝑐𝑡𝑜𝑟 1 =
𝑃𝑖𝑐 1 𝐻𝑒𝑖𝑔ℎ𝑡
𝑌𝑜𝑢𝑟 𝐴𝑐𝑡𝑢𝑎𝑙 𝐻𝑒𝑖𝑔ℎ𝑡
Scale factor 3 __________
1. It is your job to design a new type of fighter jet, and you have already been given a model for
it. The actual jet is to be 50 times as large as the model. The dimensions of the model are as
follows:
Length: 3 feet
Width: 6 inches
Height: 0.3 feet
Find the dimensions of the actual jet.
Length: ___________ Width: ________
Height:__________
2. A particular Egyptian pyramid is 22 feet tall, but the length across the base is unknown. There
is a scale model of the pyramid that is 2 feet tall, and it has a base length of 1.3 feet. What is
the base length of the actual pyramid?
3. A rectangle has area of 30 square feet. A similar rectangle has area of 270 square feet. What
is the scale factor for these similar rectangles?
4. Rachel has two hexagonally shaped birthday cakes, the smaller of which serves six people. If
the length of one side of the larger cake is twice that of the smaller cake, how many people
does the larger cake serve? (Hint: Think about Area Factor for cake servings)
5. The Crayola crayon company can make 2400 crayons in 4 minutes. How many crayons can
they make in 15 minutes?
6. A typist can type 120 words in 100 seconds. At that rate, how many seconds would it take her
to type 258 words?
7.
At a school dance, the ratio of boys to girls is 4:5. If there are 80 girls at the dance, how many
boys are there?
Scale
Grids
Reconstruction
Presentation
10 – 9
8–7
6–5
4-0
All calculations and
proportions are
shown
All grid lines can be
seen on comic strip
(grid lines on
enlarged picture
should be erased,
but should appear
faintly). All lines are
parallel and
measured correctly.
All proportions are
accurate on the
enlarged picture
The enlarged picture
is colored neatly in
the lines and colors
match original
comic
Most calculations
and proportions are
shown
Most grid lines can
be seen on comic
strip (grid lines on
enlarged picture
should be erased,
but should appear
faintly. Most lines
are parallel and
measured correctly.
Most proportions are
accurate on the
enlarged picture
Most of the
enlarged picture is
colored neatly in
the lines and most of
the colors match
original comic
Few calculations and
proportions are
shown
Few grid lines can be
seen on comic strip
(grid lines on
enlarged picture
should be erased, but
should appear
faintly). Few lines are
parallel and
measured correctly.
Few proportions are
accurate on the
enlarged picture
Some of the enlarged
picture is colored
neatly in the lines and
some of the colors
match original comic
No calculations and
proportions are
shown
No grid lines can be
seen on comic strip
(grid lines on
enlarged picture
should be erased,
but should appear
faintly). No lines are
parallel, nor
measured correctly.
No proportions are
accurate on the
enlarged picture
The enlarged
picture is not
colored neatly in
the lines and does
not match original
comic
Total Points Possible: 40
Self-Assessment:
Teacher-Assessment:
Scale:
____/10
Scale:
____/10
Grids:
____/10
Grids:
____/10
Reconstruction:
____/10
Reconstruction:
____/10
Presentation:
____/10
Presentation:
____/10
Total Points:
____/40
Total Points:
____/40
Comment on your level of effort
and accuracy on this project:
Teacher Comments: