Transcript Contextualized developmental math classes for Allied health students

CONTEXTUALIZED
DEVELOPMENTAL
MATH CLASSES
FOR
ALLIED HEALTH
STUDENTS
Jennifer
Ackerman
and
John Ward
2012 COMPETENCIES*
MAT 65
MAT 85
Solve problems involving +, -, x, / of integers,
fractions and decimals
Factor a polynomial over the rational numbers
(!)
Calculate whole power numbers, square roots
of rational perfect squares
Simplify and perform basic operations with
rational (!) and radical expressions
Perform conversions among decimals,
fractions and percents
Convert between rational exponents and
radical notation
Solve problems involving ratios, proportions
and percents
Recognize functions and use function
notation; find the domain and range
Perform conversions within U.S. Customary
and International System (SI-metric) units
Graph linear equations; Write linear equations
in two variables in multiple forms from
different information
Apply basic formulas
Solve quadratic equations
Read and interpret tables and graphs
Solve compound inequalities
Solve basic linear equations in one variable
Solve application problems involving functions
Solve applied problems using these
competencies with real world applications
Perform basic operations on complex
numbers
NEW COMPETENCY CHANGES*!
MAT 65 – Spring 2013
MAT 85 – Summer 2013
Removal of all conversions!
Solve absolute value equations
Inclusion of parallel and perpendicular
(or neither) lines
Solve and graph absolute value
inequalities
Factoring! Inclusion of general
trinomials, solving quadratic equations
and applications
Completing the square and quadratic
formula
Inclusion of systems of linear equations
in two variables
Graph parabolas by finding the vertex,
axis of symmetry and plotting points
Solving simple linear equations is now in
MAT 55
General factoring and systems of
equations now in MAT 65
Solve applied problems using these
competencies with real world
applications (same)
Model and solve applications based on
linear, quadratic, and exponential
functions
CPE Changes from May 2012
WORKBOOK SUPPLEMENT
Math Skills for Allied Health Careers
 Danielle L. Timmons
 Catherine W. Johnson
 Elementary and Intermediate Algebra
 by Bittinger, Ellenbogen, and Johnson
EXAMPLES
 If a pediatric dose of a certain medication is 1 .5 mg for every
10 lb of body weight, how much medication should be given to
a child who weighs 50 lbs?
 As a medical aide, you are charged with administering 25
doses of medication. Each dose is to be 1 .7 oz. You only
have a 40 oz bottle. Is there going to be enough medication
for everyone? Exactly how much will be left over or needed?
 Determine the percent strength (concentration) for a solution
where you combine 15 mL of pure drug with 85 mL of water.
 The normal adult dosage for a particular medical condition
calls for 10 mg of a drug. Use the formula for Clark’s Rule: C
= w/150*d to determine how much of the medication you
should give to a child weighing 50 lbs. Round your answer to
the nearest milligram (mg)
THE FUN STUFF
Tic Tac Toe Tuesday
Solve by graphing
x=6
y = -1
A ¼ % solution of bichloride
mercury is prepared using
pure bichloride mercury
liquid. Write this percent as
an equivalent decimal and
as a fraction
Write the roman
numeral for 940
(a question on
“Jeopardy!”)
Solve
y – 3x = 27
8y + x = 16
The perimeter of an
operating table is 24 ft. The
length is 2 ft longer than the
width. What are the length
and the width of the
operating table?
Solve
x=-y
x+y=1
What is the percent
concentration of a solution
containing 12 g of NaCl (salt)
in 150 mL of water?
Solve
X+y=3
5x + 5x = 15
Solve
x+y=9
y=x–3
Motivation:
Medical Mistakes
Muddled Milliliters
+
Much More
Do Doctors still know their math?
28 Doctors were recruited for an experiment
which simulated an emergency.
They were asked draw .12mg of epinephrine from one of two
bottles into a syringe:
A) 14 assigned to bottle labeled: 1mg/1ml
B) 14 assigned to bottle labeled: 1:1000
Results:
• 11 of 14 drew correct amount in group A with mean time of
35 seconds (79% success)
• 2 of 14 drew correct amount in group B with mean time of
132seconds (14% success)
1ml of water = ___ g of water
The concentration ratio bottle A:bottle B is ___: ___
So from either bottle the dosage is ____ ml
We’ve come a long way but still have
far to go.
In 1910, when Abraham
Flexner researched the state
of US medical education, only
16 of the existing 155 medical
schools required more than a
high school education for
admission. Germ theory was
still disputed.
Kimberly Hiatt was a pediatric
critical care nurse who
accidentally gave an infant a
fatal overdose of calcium
chloride in 2010.
It was a calculation error. A
human mistake.
One mathematical error.
After the incident, the hospital
fired her.
In April of 2011 she took her
own life.
Trying to help…
if only a little
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Are all 300 lb people who are
6’ tall obese?
What percentage of
an adult dose should a
75lb child receive
according to Young’s
Rule?
Percent Change
Military Time
Drip rates
Concentration/Mixture
Pediatric Dosages by
weight and age
Ratio problems
Roman Numerals
Scientific Notation
English/Apothecary and
Metric Systems
Conversions between
systems
Basal Metabolic Rate
What is the only
fraction in Roman
Numerals and how
do you express it?
𝑊
𝐻2
BMI>30  obese
𝐵𝑀𝐼 = 703
Pediatric Dosage Problems
Young’s Rule:
𝑎𝐴
𝑝=
12 + 𝑎
How many calories
are in a pound of
body fat?
Clark’s Rule
𝑤𝐴
𝑝=
150
How much of a 25%
concentrated solution
would be needed to
produce 500ml of a
15% solution?
Other formulas/Questions
V1C1 = V2C2
BMR
D=
There are ___ drams in an
ounce
=655+ 4.35W+4.7(H-A)
Women
𝐴∗𝑆
𝑇
C = (21.78 -0.101a)h
A minim is the same as a(n)
________
At _____ degrees Celcius and
Fahrenheit are equivalent.
OVERALL RESULTS
MAT 65 – SUMMER
2012
MAT 65 – FALL 2012
MAT 85 – FALL 2012
A
5
A
1
A
2
B
1
B
3
B
6
C
3
C
2
C
1
MP
1
MP
F
1
F
3
F
6
W
0
W
4
W
5
Total
11
Total
13
Total
20
MP
COMMENTS
MAT 65 – SUMMER 2012
A
5
50%!! Amazing
B
1
C
3
MP
1
MP = “Earned F”
F
1
No Show
W
0
Total
11
n = 10 active students
COMMENTS
MAT 65 – FALL 2012
A
1
B
3
C
2
MP
F
3
W
4
Total
13
1 No Show
Every student who took the final
passed the class
current enrollment for Spring 2013 = 14 students
COMMENTS
MAT 85 – FALL 2012
A
2
B
6
C
1
MP
F
6
4 earned; 2 quit coming
around midterm
W
5
4 early drops; 1 dropped
before the final
Total
20
current enrollment for Spring 2013 = 16 students