Nicole Butcher
Mimi Gulick
AMTNYS 2010 Lesson
Introduction
This lesson is designed to expand student’s knowledge of proportions. Students are asked to
choose a proportion project which will give them an opportunity to see how proportions work.
Students will have a choice between “Math on Me”, “Monument measures”, and “International
Dough”.
NCTM Principals and Standards:
 Understand and use ratios and proportions to represent quantitative relationships
 Understand numbers, ways of representing numbers, relationships among numbers, and
number systems
 Compute fluently and make reasonable estimates
 Understand relationships among units and convert from one unit to another within the same
system
NYS Core Curriculum Standards:
6.N.7 Express equivalent ratios as a proportion
6.N.9 Solve proportions using equivalent fractions
6.N.10 Verify the proportionality using the product of the means equals the product of the
extremes
6.A.5 Solve simple proportions within context
Major Instructional Goals:
Math on me:



Feeling comfortable with proportions
Figuring out the proportions of their own bodies
Be able to draw their own bodies in proportion
Monument measures:


Be able to take the pictures of the monuments of the country they were given and find the
different proportions of the buildings.
Draw their own monument in a realistic scale, labeling what scale (in ratio form) they used
on the side.
International Dough

Each student should be able to use conversion to complete the questions provided.
Math on Me!
This project requires students to explore the measurements of their body and see how they
measure up compared to the “idealized human figure”. They are instructed to measure each other’s
head and height in inches, and find it’s proportion to various sections of their body.
The Viturvian Man by Leonardo DaVinci is based on the “ideal” body proportions of men.
These “ideal” proportions include:
 Man’s total height = 8 heads
 Hip height = 4 heads
 Total arm span = total height = 8 heads
 Elbow to fingertip = 2 heads
 Wrist to fingertip = 1 head
After taking measurements and calculating the required
proportions, students are required to draw a picture of
themselves, using the proportions they found- no stick figures!
0
On-task?
Student failed to
participate in class
Measurements
Student took no
measurements
Proportions
Student completed
no proportions
Picture
Student drew no
picture
Total
Grading Rubric
1
2
Student
Participated,
but after
repeatedly
asked
Student did not
complete all
measurements
Student
completed some
proportions,
with errors
Student
submitted
incomplete
picture
3
4
Student
required minimal
teacher
encouragement
Student
required only
one reminder to
stay on task
Student stayed
on task
Student took
measurements,
multiple errors
Students
completed all
proportions with
little error
Student’s
picture was not
proportionally
correct
Student took
measurements,
little errors
Students
completed all
proportions with
one error
Students
picture was
slightly out of
proportion
Student took all
measurements
with no error
Student
correctly
completed the
proportions
Students
picture was in
the correct
proportion
Name:__________________________
Math on Me
Worksheet
The Viturvian Man by Leonardo DaVinci is based on the “ideal” body proportions of men.
These “ideal” proportions include:
 Man’s total height = 8 heads
 Hip height = 4 heads
 Total arm span = total height = 8 heads
 Elbow to fingertip = 2 heads
 Wrist to fingertip = 1 head
Instructions: With a friend, use the ruler provided to fill out the chart below, in inches.
Total height
Head height
Hip Height
Arm span
Elbow to fingertip
Wrist to fingertip
1.
Ratio of head height to total height:
Does your own ratio come close to the ratio of the Vitruvian man?
2. Ratio of head height to hip height:
How does it compare to Vitruvian man?
3. Ratio of head height to arm span:
Is it the same as the ratio to total height?
Does that make your total height = your arm span?
4. Ratio of head height to the elbow to fingertip length:
How does it compare to vitruvian man?
5. Ratio of head height to the wrist to fingertip length:
Is it the same?
Monumental Measures
Part 1:
Directions: In this project you are to pick one of the countries listed. Once you have chosen a
country, you will have the option of choosing two monuments from that country to answer questions
on, and to draw.



France
o Eiffel Tower (1,063 ft tall)
o Arc de Triomphe (160 ft tall )
o Notre Dame de Paris ( 420 ft
long, 226 ft tall: the towers)

India
o
o
Italy
o
o
Leaning Tower of Pisa (186 ft tall: the taller side)
The Arch of Constantine (85ft wide, 69 ft tall)
United
o
o
o
States
Statue of Liberty (305ft tall)
White House (70ft tall)
Washington Monument (555ft tall)
Taj Mahal (561ft tall)
Humanyun Tomb (85 ft tall)
To get full credit for this project you must make yourself a chart of the different objects in the
monument that you wish to find the height of. Keep in mind that these measurements are going to
help you with the second part of the project.
Part 2:
This part of the project is requiring you to get into your artsy mode. Create a well drawn (to scale)
picture of one of the two monuments you found the measurements of. Include the scale you used,
and also the list measurements you found for this monument in pencil on the back of your drawing.
International Dough
This project requires students to convert several U.S. dollar values into values of foreign
currency. They are to use their knowledge of proportions to figure the “cost” of several desirable
items, tickets, ect. A list of several different foreign currency values, compared to our U.S. dollar
will be kept by the teacher, and once students choose their desired destination, they will be given
that countries equivalence to one of our dollars.
The table below gives the currency values for several countries, compared to ONE U.S. dollar.
Country, Currency Name
European EURO
Brazilian REAL
British POUND
Mexican PESO
Turkish LIRA
Egyptian POUND
Russian RUBLES
Indian RUPEE
Chinese YUAN
Fijian DOLLAR
Equivalence to 1 dollar
.72
1.70
.62
12.35
1.43
5.77
30.81
44.47
6.68
1.85
These values we found using GOOGLE currency converter. Amounts may not be exact.
Name________________________
International Dough
Worksheet
Instructions:
Circle one of the listed countries below, so you can begin planning your trip!
Europe - EURO
Brazil - REAL
Britain - POUND
Mexico - PESO
Turkey - LIRA
Egypt - POUND
Russia - RUBLES
India - RUPEE
China – YUAN
Fiji - DOLLAR
Selected countries equivalence to
One U.S. Dollar = ______________
Write this as a ratio (you will be using it
often)
**Time for Vacation**
Give your answers with your countries currency name.
1.
Plane ticket to your country costs $642.00. How much is this in your countries system?
2. You have made it to your destination! It is time for lunch, which costs $7.75. How much is
this in your countries system?
3. The Hotel you wish to stay at is $76.00 a night. How much is this in your countries system?
4. Dinner at the hotel is $16.99. How much is this in your countries system?