PLC Resource Cover Sheet
Surface Area and Rule of Nines
(Percentage of Burns)
Type of Material:
X
Lesson
Resource
Other (please specify)
Title & Names of Attached Files:
Alice in Pieces – Word Document
Formula Cards – Word Document
Rule of Nines Lesson Guide – Word Document
Rule of Nines Homework – Word Document
Rule of Nines Power Point – Power Point
Program Area(s):
Autobody/Collision Repair
Commercial Art
Automotive Technology
Cosmetology
Carpentry
Culinary
Electrical
X
Health/Medical
Welding
Other (please specify):
Task/Competencies and/or Academic Skills Addressed in Lesson/Resource:
Health/Medical – Rule of Nines, Percentage of Burns
Math – Surface Area of 3-D Figures
Description:
Objective(s):
After participating in the power point presentation, students will demonstrate a
working knowledge of surface area of 3D figures and how they relate to the
human body and the rules of nines. Students will be able to calculate surface
are of 3D figures with at least 85% accuracy with the aid of a calculator.
HOOK:
1. Have students match the 3D shape cards to their surface area formula
cards as a class or as a match game with partners. Review formulas and
shapes with magnetic cards on board.
2. Hand out Lesson Guide and let students copy the formulas.
ENGAGE/EXPLORE:
1. Engage students in discussion about the human body and how different
shapes are used to represent different parts of the body. Ask students:
What 3D shape might you use to represent the Head? (Sphere)
What 3D shape might you use to represent the Thorax? (Prism)
What 3D shape might you use to represent the Arms? (Cylinder)
What 3D shape might you use to represent the Legs? (Cylinder)
What 3D shape might you use to represent the Perineum? (Triangle)
Summary of Lesson:
2. Match the pieces of Alice to the correct shape as students answer the
questions (put the magnetic Alice together).
EXPLAIN/PRACTICE TOGETHER:
1. Use the formulas to find the surface area of each part of Alice.
2. Calculate the head together.
3. Give each student a part of Alice to calculate. Use formative assessment to
make sure they are using the correct formula for their part.
4. As a group for the total surface area.
5. Determine the percentage of Alice that is burned if only her right leg is
burned?
6. Show standard percentages (Head 9%, Arms 9% each, Thorax 36%, Legs
18% each, Perineum 1%, and Irregular burn 1%)
7. Mathematically check a few (if you have time).
PRACTICE INDIVIDUALLY:
A fire fighter fell through the floor of a building and has suffered burns to his
entire right arm, 2 palm sized burns to the thorax, and the front of his right leg.
What percentage of his body has been covered in burns?
9% + 1% + 1% + 18% / 2 = 20%
EXTENSION (IF TIME):
Extension 1 - On Mrs. Miller (HOT teacher)
1. Measure Head Circumference
2. Use the Circumference formula to find the radius of her head.
3. Determine Surface Area of Head
4. Use a proportion to determine Total Surface Area of Body: ______ if the
typical adult has a surface area of 22,222 cm2, Is Mrs. Miller normal?
Extension 2 - You are a vet tech at a zoo. Rex the elephant has sustained a
burn to his left leg caused by stepping through a flaming hoop. You are to
apply a sterile bandage to the entire leg. You have multiple lengths of bandage
available. You must determine how long of a wrap is needed to cover the leg
one time. Your wrap is 10 cm wide. The footprint shows a leg diameter of 16
cm and the length of Rex’s leg is 150 cm. Assuming the leg is a cylinder,
calculate the length of wrap needed. (You will need to find the length of wrap
needed for one pass around the leg C=2*3.14*8 = 50.24cm with a 10cm wide
bandage you will need to make at least 15 trips around the leg 50.24 * 15 =
753.6cm).
Materials, Resources
& Technology
Needed:
Assessment of
Knowledge/Skill
Attainment:
Lesson guide, cut out pictures of body shapes (Alice, magnetic), formula and
3D shape cards for HOOK, homework, projector, instructor computer
Assignment: Rule of Nines Homework Sheet (includes Health related
problems and other disciplines to show transfer of skill). Begin to complete at
the end of class, due next class.
Formative Assessment: Observation and questioning throughout.
Summative Assessment/Close: Observation of students beginning to work
on homework assignment.
Time needed to
complete the lesson:
40-60 minutes depending on class
Developed By/Contact Information:
Cathy L. Jones, Mathematics Instructor
Indiana County Technology Center
441 Hamill Road
Indiana, Pa 15701
724-349-6700 ext 145
[email protected]
I began using this lesson in 2011-12 school year.
Submitted / Updated:
www.careertechpa.org
Notes/Comments:
NOTE: This material was submitted in conjunction with the BCTE PLCs for purposes of
colleague sharing and may not be officially endorsed or approved by PDE.
###
RULE OF NINES LESSON GUIDE
NAME OF SHAPE
SURFACE AREA FORMULA
PART OF ALICE
Prism
Cylinder
Triangle
Sphere
Example 1 (together) – Your patient, Alice, came into the Emergency Room with partial and full thickness burns to her
entire right (R) leg after falling into a camp fire. You are to calculate the area of the burn and determine the percentage of
her body that is burned.
HEAD
ARMS
THORAX
LEGS
PERINEUM
What is the total Surface Area of Alice?
What percentage is she burned if her right leg is the only thing that is burned?
This calculation is not redone every time for every patient. Standard Percentages are used. They are as follows:
Head:
Arms:
Thorax:
Legs:
Perineum:
An individual’s palm equals approximately 1% of the BSA and can be used to estimate scattered, irregular burns.
Example 2 (on your own) – A fire fighter fell through the floor of a building and has suffered burns to his entire right arm, 2
palm sized burns to the thorax, and the front of his right leg. What percentage of his body has been covered in burns?
Extension 1 – Is Mrs. Miller Normal?
Measure Circumference:
Determine Surface Area of Head:
Total Surface Area of Body:
Extension 2 – You are a vet tech at a zoo. Rex the elephant has sustained a burn to his left leg caused by stepping
through a flaming hoop. You are to apply a sterile bandage to the entire leg. You have multiple lengths of bandage
available. You must determine how long of a wrap is needed to cover the leg one time. Your wrap is 10 cm wide. The
footprint shows a leg diameter of 16 cm and the length of Rex’s leg is 150 cm. Assuming the leg is a cylinder, calculate
the length of wrap needed.
Name:
Due:
Date:
Rule of Nines Homework
1. The surface area of a medical exam room floor needs to be determined in order to buy carpeting. The room
measures 4 yards by 3 yards. How much carpeting should be ordered?
2. A circular culture plate with a radius of 5cm is placed in an open area outside the clinic for 6 hours. At the end
of this time the plate is taken to the lab for examination. It is observed that there are 54 grains of pollen per
square centimeter of surface area. Determine the surface area of the plate and the number of pollen grains
present.
3. What is the surface area of a basketball that has a radius of 15cm?
4. What is the area of a triangle that has a base of 10cm and a height of 5cm?
5. What will be the surface area of a pop can that has a height of 12cm and a radius of 4cm?
6. A person has burned their perineal area and their entire anterior chest (thorax). What is the total BSA that has
been burned?
HOOK
In Pairs –
Students play a simple match
game using shapes and
formulas
ENGAGE/ EXPLORE
Review Shape formulas as a group
Discuss what shapes might be used to represent different parts
of the body
Sphere
𝑆𝐴 = 4𝜋𝑟 2
Cylinder
𝑆𝐴 = 2𝜋𝑟 2 +2𝜋𝑟ℎ
Prism
Triangle
𝑆𝐴 = 2𝑙𝑤 + 2𝑙ℎ + 2𝑤ℎ
1
SA = 2 𝑏ℎ
EXPLAIN/ PRACTICE TOGETHER
HEAD – Sphere
𝑆𝐴 = 4𝜋𝑟 2
SA = 4*𝜋*12.622
Arms – Cylinder
𝑆𝐴 = 2𝜋𝑟 2 +2𝜋𝑟ℎ
SA = 2000cm2
SA = 2000.05cm2
times 2 =4000cm2
Thorax – Prism
Legs – Cylinder
𝑆𝐴 = 2𝑙𝑤 + 2𝑙ℎ + 2𝑤ℎ
𝑆𝐴 = 2𝜋𝑟 2 +2𝜋𝑟ℎ
SA = 8001cm2
SA = 3999.92cm2
times 2 =8000cm2
Perineum - Triangle
TOTAL =
1
2
SA = 𝑏ℎ
SA = 22,223cm2
SA = 222cm2
Real is 22,222.
Why is ours off a bit?
EXPLAIN/ PRACTICE TOGETHER
Remember poor Alice, who was burned on her entire
right leg?
Let’s calculate the percent of Burn for Alice…….
𝑆𝐴 𝑜𝑓 𝑟𝑖𝑔ℎ𝑡 𝑙𝑒𝑔
× 100 = 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝑜𝑓 𝐵𝑢𝑟𝑛
𝑇𝑜𝑡𝑎𝑙 𝑆𝐴
4000
× 100 = 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝑜𝑓 𝐵𝑢𝑟𝑛
22222
18% = 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝑜𝑓 𝐵𝑢𝑟𝑛
This is not redone for every patient – STANDARDS ARE SET
Head 9%
Thorax 36%
Perineum 1%
Arms 9%each
Legs 18% each
Irregular burn –palm size 1%
PRACTICE INDIVIDUALLY
A fire fighter fell through the floor of a building
and has suffered burns to his entire right arm, 2
palm sized burns to the thorax, and the front of
his right leg. What percentage of his body has
20%
been covered in burns? _______
EXTENSION 1 - Is Mrs. Miller Normal?
58cm
Measure Head Circumference: ______________
1070.57cm2
Determine Surface Area of Head: ______________
𝐶 = 2𝜋𝑟
58 = 2𝜋𝑟
58
2𝜋
=
2𝜋𝑟
2𝜋
9.23cm = 𝑟
𝑆𝐴 = 4𝜋𝑟 2
𝑆𝐴 = 4𝜋9.232
𝑆𝐴 = 1070.57𝑐𝑚2
Total Surface Area of Body: _________________
𝑝𝑒𝑟𝑐𝑒𝑛𝑡 𝑜𝑓 𝐻𝐸𝐴𝐷 𝑆𝐴 𝑜𝑓 𝑀𝑖𝑙𝑙𝑒𝑟 ′ 𝑠 𝐻𝐸𝐴𝐷
=
100%
𝑆𝐴 𝑜𝑓 𝑀𝑖𝑙𝑙𝑒𝑟 ′ 𝑠 𝐵𝑂𝐷𝑌
9%
1070.57
=
100%
𝑥
x = 11895.22cm2
EXTENSION 2 – ELEPHANT
You are a vet tech at a zoo. Rex the
elephant has sustained a burn to his left leg
caused by stepping through a flaming hoop. You are to
apply a sterile bandage to the entire leg. You have
multiple lengths of bandage available. You must
determine how long of a wrap is needed to cover the leg
one time. Your wrap is 10 cm wide. The footprint shows a
leg diameter of 16 cm and the length of Rex’s leg is 150
cm. Assuming the leg is a cylinder, calculate the length of
wrap needed.
(You will need to find the length of wrap needed for one
pass around the leg C=2*3.14*8 = 50.24cm with a 10cm
wide bandage you will need to make at least 15 trips
around the leg 50.24 * 15 = 753.6cm )
ASSIGNMENT
Rule of Nines Homework Sheet – Health Specific Questions and
Generic Related Math Questions
Prism
Cylinder
SA=2lw+2lh+2wh
2
SA=2𝜋r +2𝜋rh
2
Sphere
SA=4𝜋r
Triangle
1
SA= bh
2
H=10.86cm
B=40.9cm
R=4cm
L=20.9cm
H=75.62cm
W=40.9cm
H=50.9cm
R=7cm
H=83.99cm
R=7cm
R=4cm
H=83.99cm
H=75.62cm
R=12.62cm