Lesson 9 Approximate time needed for lesson: Math...

Lesson 9Eisenhower Regional Consortium for Mathematics and Science Education at AEL

Lesson 9. Math Medicine

209

Background Information

Students should have studied fractions, decimals, exponents, and metric measurement prior to thislesson. Also, it is assumed that they have had some experience with paper-and-pencil graphing

and with completing charts and tables.

Goals for Students

u Solve real-world problems using a variety of representations

u Use fractions, decimals, and exponents in a meaningful context

u Calculate conversions between metric units

Lesson 9Math Medicine

Description or Summary of Lesson

This lesson emphasizes connections to real-world problems related to medical careers. Graphicalrepresentations are used as part of the problem-solving process. The two activities can be used

separately or together.

IntroductionIn

trod

uctio

nL

ES

SO

N 9

NCTM Standards

u Algebra: Use mathematical models to represent and understand quantitative relationships

u Measurement: Understand measurable attributes of objects and the units, systems, and pro-cesses of measurement

u Connections: Recognize and apply mathematics in contexts outside of mathematics

u Representation: Use representations to model and interpret physical, social, andmathematical phenomena

Materials and Equipment

u Graphing calculator view screen system and overhead

u Two clear 2-liter containers of water

u Liquid food coloring drops and water

u Each pair of students will need

• access to a graphing calculator

• paper

Approximate time needed for lesson:

Two traditional classes or one block class

Center of Excellence for Science and Mathematics Education at UT Martin


Lesson 9210

Teacher’s NotesActivity 1. Drugs—A Diminishing Return

Handout 1: Data Sheet

Ou

tlin

e / A

ctiv

ity

1T

EA

CH

ER

’S N

OT

ES

Teacher’s Notes: Outline / Activity 1, Handout 1

Lesson 9: Outline

Note:

I. Teacher reviews place value and expanded form of numbers with exponents.

II. Teacher reviews metric units and relationship between milligrams and grams.

III. Students and teacher discuss problem presented in Activity 1, Handout 1.

IV. Teacher demonstrates the problem with the model described in the Teacher’s Notes forActivity 1, Handout 1.

V. Students complete Activity 1, Handout 1, using the Calculator Instructions in the Activity 1,Handout 2.

VI. Students and teacher discuss results.

VII. Student and teacher discuss the problem in Activity 2, Handout 1.

VIII. Students complete Activity 2, Handout 1, using the Calculator Instructions in Activity 2,Handout 2.

• Students may need help in seeing the pattern involving exponents. The teacher may need toreview place value for whole numbers and decimal numbers and to write numbers in expandedform with exponents (powers of 10 and/or 1/10).

• The calculator should be used to verify and/or complete the results and answer the questions inthe handouts.

You are an Olympic athlete scheduled to compete at 10 a.m. on Friday. You know that you must beable to pass a drug screening on Friday at 8 a.m. in order to compete.

You awaken Monday morning with a terrible head cold. You decide to take 16 grams of acold medicine. You know that the human body cleanses one-fourth of anything in its system everyfour hours. That is, every four hours approximately one-fourth of the remaining cold medicine isflushed from the system, leaving behind three-fourths.

Will you be able to pass the drug screening on Friday morning if the test can detect anythinggreater than or equal to 0.1 milligram?

Students fill in two additional lines in the table below and use a calculator to verify thoselines and those that are already filled in. As a class, look for a pattern for the column of the chartlabeled Exponential Pattern. Then either work together as a class with the view screen system or letthe students work in pairs. Follow the calculator instructions in Handout 2 to help complete theremaining blank columns in the chart. Then answer the questions under the chart to determine if youcan pass the drug screening.

Questions 7, 8, and 9 may be more appropriately demonstrated by the teacher with thestudents filling in the answers as the class discusses.

Problem:



211

Activity 1, H

and

ou

t 1T

EA

CH

ER

’S N

OT

ES

Teacher’s Notes: Activity 1, Handout 1

Model for Activity 1:

This situation can be easily modeled visually. Begin with a clear 2-liter container of water. Add 16drops of food coloring to represent the cold medicine. Pour off one-fourth of the water in the con-tainer and replace with clear water. Repeat this several times to model the effect of the body cleans-ing itself.

Sample answers for Handout 1:

Note: The Sample answers for Handout 1 are obtained using the Calculator Instructions inHandout 2.

slavretnI despalEsruoH emiTdnayaD desnaelCgurD )g(gniniameRgurD nrettaPlaitnenopxE

0 0 ma8yadnoM 0 61 0^)4/3(61

1 4 noon21 g4=61fo4/1 21=61fo4/3 1^)4/3(61

2 8 mp4 g3=21fo4/1 9=21fo4/3 2^)4/3(61

3 21 mp8 g52.2=9fo4/1 57.6=9fo4/3 3^)4/3(61

4 61 thgindim g96.1 360.5=57.6fo4/3 4^)4/3(61

5 02 ma4seuT g662.1 797.3 5^)4/3(61

6 42 ma8 848.2 6^)4/3(61

7 82 noon21 831.2 7^)4/3(61

8 23 mp4 106.1 8^)4/3(61

9 63 mp8 102.1 9^)4/3(61

01 04 thgindim 109. 01^)4/3(61

11 44 ma4deW 676. 11^)4/3(61

21 84 ma8 715. 21^)4/3(61

31 25 noon21 083. 31^)4/3(61

41 65 mp4 582. 41^)4/3(61

51 06 mp8 412. 51^)4/3(61

61 46 thgindim 061. 61^)4/3(61

71 86 ma4sruhT 021. 71^)4/3(61

81 27 ma8 090. 81^)4/3(61

91 67 noon21 860. 91^)4/3(61

02 08 mp4 150. 02^)4/3(61

12 48 mp8 830. 12^)4/3(61

22 88 thgindim 920. 22^)4/3(61

32 29 ma4 120. 32^)4/3(61

42 69 ma8 610. 42^)4/3(61

52 001 noon21 210. 52^)4/3(61



Lesson 9212

Teacher’s Notes: Activity 1, Handout 1A

ctiv

ity

1, H

and

ou

t 1

TE

AC

HE

R’S

NO

TE

S

Sample Answers for Handout 1 (continued):

1. Describe the numbers in List 1 (L1). They are multiples of 4.

2. What do the numbers in List 1 (L1) represent? L1 represents the hours elapsed since youtook the cold medicine.

3. How is the exponent of 3/4 related to List 1 or L1? It is L1 (the number of hours elapsed)divided by 4. On the chart, you may notice that it is also the number of 4-hour intervals.

4. Write the pattern in the Exponential Pattern column of your chart in a way that expresses theamount of cold medicine left in exponent form with List 1 or L1 in the exponent.

TI: 16(3/4)^(L1/4) Casio: 16(3/4)^List1/4

5. What do the numbers in List 2 or L2 represent? The amount in grams of the cold medicineleft in your body after each time interval.

6. Your head cold is much improved and you are feeling much better. Can you pass the drug test?Will you be allowed to compete in your event? Remember that your calculations are based ongrams but the drug test can detect milligrams. What adjustments should you make?

No, you cannot pass. No, you will not be allowed to compete since the number in yourcalculator (0.01615 at 8 a.m. and 0.01204 at 12 noon) is the grams of the drug remaining.To change 0.01615 grams to milligrams, multiply by 1000. Thus the amount at 8 a.m. isover 16 milligrams, which is significantly over the 0.1 milligram limit.

The amount, even at 12 noon, is still over 12 milligrams and still over the limit for detec-tion. So certainly at 10:00 a.m. the amount of drug remaining is over the limit allowed forcompetition.

That is, the 0.1 milligrams, which is the threshold for drug detection, is equal to 0.0001grams; and after the 96 hours (24 intervals), there is still 0.01615 of a gram remaining.

7. Sketch your graphical representation of what is happening to the amount of drug below.

TI-83 Plus / TI-73

CFX-9850GB Plus FX-7400G Plus



213

DISCUSSION POINTS

u • Can you think of other situations that could have a similar result?Answers will vary.

• Can you think of another way to have generated the amount of drug remain-ing?Sample Answer: If we put a sequence from 0 to 24 in L3 (representing thenumber of 4-hour intervals elapsed) and 16(3/4)^L3 in L4, the amount ofdrug remaining is the same. That is, L4 is the same as L2, as shownbelow.

Teacher’s Notes: Discussion PointsD

iscussio

n P

oin

tsT

EA

CH

ER

’S N

OT

ES

8. Describe what happens to the amount of medicine in your system. Theoretically, some minus-cule amount will always be present.

9. Did you ever completely get rid of all of the medicine? No, but it would get very, very, veryclose.



Lesson 9214

Teacher’s Notes: Activity 1 / Activity 2, Handout 1S

tud

ent

Act

ivit

ies

1 an

d 2

TE

AC

HE

R’S

NO

TE

S

Teacher’s NotesActivity 2. Drugs Dosage

Handout 1: Dosage Chart

Problem:

The dosage of a certain drug is 1.5 milligrams per kilogram of body weight. How much drug shouldbe administered to a 140-pound woman? (Health Sciences Problem from Where Will I Ever UseThis?, Robert A. Forrester and Michael P. Highers, Volunteer State Community College, 1998.)

Note: 1 kg is approximately 2.2046226 lbs.

Students will use the calculator and the Calculator Instructions in Handout 2 to complete Handout 1.The following screen may also be helpful for the teacher.

Teacher’s NotesActivity 1. Drugs—A Diminishing Return

Handout 2: Calculator Instructions

Select the appropriate calculator version of Handout 2 for your class.

TI-83 Plus / TI-73

CFX-9850GB Plus FX-7400G Plus



215

Teacher’s Notes: Activity 2, Handout 1A

ctivity 2, Han

do

ut 1

TE

AC

HE

R’S

NO

TE

S

DISCUSSION POINTS

u

Answers for Handout 1:

• For a change of 10 pounds, how does the kilogram weight change (look at thechart)? By between 4 and 5 kilograms.

• For every 10 pounds of weight, how does the dosage change? By about7 milligrams.

• Why might the chart only go from 80 pounds to 250 pounds? Answers will vary.Examples: Maybe the medicine is too strong for smaller patients such aschildren, and maybe it might be ineffective for larger patients or dangerousfor overweight patients who might have heart or blood pressure problems.

• What might be the dosage for someone who weighs 225 pounds? Answers mayvary. For example, the answer might be 153 milligrams, although a casecould be made that 150 milligrams would be a safer amount to avoid anoverdose.

○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○

nithgieWsdnuoP

smargoliKnithgieW smargilliMniegasoD

08 63 45

09 14 16

001 54 86

011 05 57

021 45 28

031 95 88

041 46 59

051 86 201

061 37 901

071 77 611

081 28 221

091 68 921

002 19 631

012 59 341

022 001 051

032 401 651

042 901 361

052 311 071



Lesson 9216

Teacher’s Notes: Assessment Points / AdaptationsA

sses

smen

t / A

dap

tati

on

sT

EA

CH

ER

’S N

OT

ES

Suggestions for Assessment

ASSESSMENT POINTS

u • Use the calculator to make a chart (to 3 decimal places) of all thepowers from 0 to 25 of a number such as 2/3 or 6.

55 g = ______ mg

180 mg = _____ g

(3⁄4)5 or (3/4)^5 = ___________

(1⁄2)3 or (1/2)^3 = ___________

• Use the calculator to make a chart similar to the one in Activity 1that shows how much of a medicine would be left after 4 hours,8 hours, . . . , 240 hours, if you took a 25-gram dosage.

Adaptations / Extensions

I n Activity 1 you can add the function to the Y= screen. You can also zoom in on the right sideof the graph to show how the graph approaches but never reaches zero.

Students might make a graph of the data in the chart (either by hand or on the graphingcalculator) in Activity 2 to see if there is a linear relationship between weight in pounds and milli-gram doses and/or between weight in pounds and weight in milligrams.

You might invite a doctor or nurse to visit your class to discuss related problems and howmath is used in the medical profession.



217

Activity 1, Handout 1: Data SheetH

and

ou

t 1: Data S

heet

AC

TIV

ITY

1

Lesson 9: Math MedicineActivity 1. Drugs—A Diminishing Return

Handout 1: Data Sheet

Problem:

You are an Olympic athlete scheduled to compete at 10 a.m. on Friday. You know that you must beable to pass a drug screening on Friday at 8 a.m. in order to compete.

You awaken Monday morning with a terrible head cold. You decide to take 16 grams of acold medicine.

You know that the human body cleanses one-fourth of anything in its system every fourhours. That is every four hours, approximately one-fourth of the remaining cold medicine is flushedfrom the system leaving behind three-fourths.

Will you be able to pass the drug screening on Friday morning if the test can detect anythinggreater than or equal to 0.1 milligram?

Fill in two additional lines in the table on the following page and use your calculator to verifythose lines and to complete the chart, in order to determine if you can pass the drug screening.



Lesson 9218

Han

do

ut

1: D

ata

Sh

eet

AC

TIV

ITY

1Activity 1, Handout 1: Data Sheet

Activity 1, Handout 1 (continued):

Use your calculator to complete your results, and answer the following questions as you work.

1. Describe the numbers in List 1 (L1). ____________________________________________

2. What do the numbers in List 1 (L1) represent? ____________________________________

○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○

Intervals Hours Elapsed Day and Time Drug Cleansed Drug Remaining (g) Exponential Pattern

0 0 Monday 8 am 0 16 16 (3/4)^0

1 4 12 noon 1/4 of 16 = 4 g 3/4 of 16 = 12 16 (3/4)^1

2 8 4 pm 1/4 of 12 = 3 g 3/4 of 12 = 9 16 (3/4)^2

3 12 8 pm 1/4 of 9 =2.25 g 3/4 of 9 = 6.75 16 (3/4)^3

4 16 midnight 1.69 g 3/4 of 6.75 =5.063 16 (3/4)^4

5 20 Tues 4 am 1.266 g 3.797 16 (3/4)^5

6 24 8 am

7 28 12 noon

8 32 4 pm

9 36 8 pm

10 40 midnight

11 44 Wed 4 am

12 48

13

Thurs 4 am

Intervals Hours Elapsed Drug CleansedDay and Time Drug Remaining (g) Exponential Pattern



219

Activity 1, Handout 1: Data SheetH

and

ou

t 1: Data S

heet

AC

TIV

ITY

1

3. How is the exponent of 3/4 related to List 1 or L1? _________________________________

4. Write the pattern in the Exponential Pattern column of your chart in a way that expresses theamount of cold medicine left in exponent form with List 1 or L1 in the exponent.

5. What do the numbers in List 2 or L2 represent?____________________________________

6. Your head cold is much improved and you are feeling much better. Can you pass the drug test?Will you be allowed to compete in your event? Remember that your calculations are based ongrams but the drug test can detect milligrams. What adjustments should you make?

8. Describe what happens to the amount of medicine in your system.

9. Did you ever completely get rid of all of the medicine?

Activity 1, Handout 1 (continued):

7. Sketch your graphical representation of what is happening to the amount of drug below.



Lesson 9220

Activity 1, Handout 2: TI-83 PlusH

and

ou

t 2:

TI-

83 P

lus

AC

TIV

ITY

1

Activity 1. Drugs—A Diminishing Return

Handout 2: TI-83 Plus Calculator Instructions

♦ Press STAT ENTER .

♦ If there are numbers in List 1 and List 2, one way to clear them is to press the following keys:STAT 4 2nd 1 (L1) and , 2nd 2 (L2).

♦ Then press ENTER .

♦ Press STAT ENTER again.

♦ Move to the top of List 1 so that L1 is highlighted. Press ENTER to get a cursor at thebottom of the screen. Press the green ALPHA then + . This will give you a quotationmark at the bottom of the screen.

♦ Press 2nd STAT (LIST) and a (OPS). Press 5 for 5:seq( .



221

Han

do

ut 2: T

I-83 Plu

sA

CT

IVIT

Y 1

Activity 1, Handout 2: TI-83 Plus

TI-83 Plus Keystrokes (continued):

To get the calculator to create a sequence of numbers beginning with 0 and ending with 128 inincrements of 4 follow the steps below.

♦ Press X,T,ø,n then , then X,T,θ,n then , then 0 , 128 , 4) ALPHA + ( “ ) and ENTER .

♦ Move over to List 2. Arrow up so the L2 is highlighted. Press ENTER to get a cursor at thebottom of the screen. Press ALPHA + .

To have the calculator compute the amount of drug remaining after each four-hour interval {16 (3/4) ^ (L1/4)}, follow the keystrokes below.

♦ Press 16 ( 3/4 ) ^ ( . Then press 2nd 1 ÷ 4 ) .

♦ Then press ALPHA + ENTER .

♦ Record the numbers in L2 in the chart on Handout 1 and answer Questions 1 through 6.



Lesson 9222

Han

do

ut

2: T

I-83

Plu

sA

CT

IVIT

Y 1


TI-83 Plus Keystrokes (continued):

To represent graphically the amount of drug remaining over time, follow the steps below.♦ Press Y= . If there are any equations in this screen, use the CLEAR button to clear them.

♦ Then press 2nd Y= (STAT PLOT) and ENTER for Plot 1.

♦ Press ENTER again to turn Plot 1 On.

♦ Press d ENTER to choose a scatter plot.

♦ Press d 2nd 1 to make the Xlist: L1.

♦ Press d 2nd 2 to make the Ylist : L2.

♦ Press d ENTER to choose the first mark.

♦ Press WINDOW . Set an appropriate window for viewing the data as follows.

♦ Press ( - ) 1 d 128 d 4 d ( - ) 1 d 18 d. 5 to set the window values.

♦ Then press GRAPH and answer Questions 7, 8, and 9 on Handout 1.



223

Han

do

ut 2: T

I-73A

CT

IVIT

Y 1

Activity 1, Handout 2: TI-73


Handout 2: TI-73 Calculator Instructions

♦ Press 2nd LIST (STAT).

♦ Then a to OPS. Press 3 (ClrList).

♦ Then press 2nd LIST (STAT) 1 and , .

♦ Then press 2nd LIST (STAT) 2 , and ENTER .



Lesson 9224

Han

do

ut

2: T

I-73

AC

TIV

ITY

1Activity 1, Handout 2: TI-73

TI-73 Keystrokes (continued):

♦ Press LIST . List 1 and 2 should now be empty.

♦ Move to the top of List1 so that L1 is highlighted and press ENTER to get the cursor at thebottom of the screen.

♦ Press 2nd MATH (TEXT). Move the cursor to capture the “ mark, press ENTER ,move the cursor to DONE, and then press ENTER .

♦ Next press 2nd LIST (STAT) a to (OPS) and press 7 .

To have the calculator enter a sequence of numbers beginning with 0 and ending with 128 in incre-ments of 4, follow the steps below.

♦ Press x , x , 0 , 128 , 4 ) .

♦ Again press 2nd MATH (TEXT). Move the cursor to highlight the “ mark, and pressENTER .

♦ Move the cursor to DONE, and press ENTER .



225

Han

do

ut 2: T

I-73A

CT

IVIT

Y 1



♦ Press a c to move to the top of List 2 so that L2 is highlighted.

♦ Press 2nd MATH (TEXT).

♦ Move the cursor to highlight or capture “, press ENTER .

♦ Move the cursor to DONE and press ENTER .

To have the calculator compute the amount of drug remaining after each four-hour interval{16 (3/4) ^ (L1/4)}, follow the keystrokes below.

♦ Press 16 ( 3/4 ) ^ ( . Then press 2nd LIST (STAT).

♦ Press ENTER for (L1).

♦ Then press ÷ 4 ) and ENTER .

♦ Then again press 2nd MATH . Move the cursor to capture “ mark, press ENTER ,capture DONE, press ENTER again.

♦ Record the numbers in L2 in the chart on Handout 1 and answer Questions 1 through 6.

To represent graphically the amount of drug remaining over time, follow the steps below.

♦ Press Y= .

If there are any equations in this screen, clear them using the CLEAR key.

To set the Plot screen as shown below, follow these steps:

♦ Press 2nd Y= (PLOT) ENTER and ENTER .

♦ d ENTER .

♦ d 2nd LIST (STAT) ENTER d .

♦ 2nd LIST (STAT) 2 .

♦ d ENTER .

♦ Press WINDOW .



Lesson 9226

Han

do

ut

2: T

I-73

Inst

ruct

ion

sA

CT

IVIT

Y 1


♦ Set the window as shown by pressing ( - ) 1 .

♦ Then press d 128 .

♦ Next set the Xscl by pressing d d 4 .

♦ Ymin by pressing d ( - ) 1 .

♦ Then set the Ymax and Yscl by pressing d 18 d . 5 .


♦ Press GRAPH and answer Questions 7, 8, and 9 on Handout 1.



227

Activity 1, Handout 2: CFX-9850GB PlusH

and

ou

t 2: CF

X-9850G

B P

lus

AC

TIV

ITY

1


Handout 2: Casio CFX-9850GB Plus Calculator Instructions

♦ From the Main Menu, press 2 . If there are numbers in List 1 and List 2, press F6 . Oneway to clear them is to press F4 F1 , then press a to move to List 2, and pressF4 F1 .



Lesson 9228

Han

do

ut

2: C

FX

-985

0GB

Plu

sA

CT

IVIT

Y 1

Activity 1, Handout 2: CFX-9850GB Plus

CFX-9850GB Plus Keystrokes (continued):

♦ Press b c to move to the top of List 1 so that List 1 is highlighted.

♦ Press OPTN F1 F5 for Seq( .


♦ Press X,q,T , and X,q,T . Then press , 0 , 128 , 4 )and EXE .



229

♦ Press EXIT EXIT F6 . Press F1SHIFT MENU . Turn Stat Wind to

Auto and Graph Func Off. Press EXE .

Activity 1, Handout 2: CFX-9850GB PlusH

and

ou

t 2: CF

X-9850G

B P

lus

AC

TIV

ITY

1



♦ Press 16 ( 3 ÷ 4 ) ^ ( F1 1 ÷ 4 and ) .Then press EXE .

♦ Record the numbers in List 2 in the chart on Handout 1 and answer Questions 1 through 6.

To represent graphically the amount of drug remaining over time, follow the steps below.

♦ Move over to List 2. Arrow up so the List 2 ishighlighted.



Lesson 9230


Han

do

ut

2: C

FX

-985

0GB

Plu

sA

CT

IVIT

Y 1


♦ Press F4 and turn StatGraph1 on and the other two off by pressing F1 for On or F2for Off.

♦ Then press EXIT . Press F6 and use the down arrow key to scroll down the screen andthe function keys to make the following choices:

♦ Press EXE . Press F1 to graph and answer Questions 7, 8, and 9 on Handout 1.



231

Activity 1, Handout 2: FX-7400G PlusH

and

ou

t 2: FX

-7400G P

lus

AC

TIV

ITY

1


Handout 2: Casio FX-7400G Plus Calculator Instructions

♦ From the Main Menu, press 2 . If there are numbers in List 1 and List 2, press Fa . Oneway to clear them is to press F2 F1 . Then press a to move to List 2 and pressF4 F1 .



Lesson 9232

FX-7400G Plus Keystrokes (continued):

Han

do

ut

2: F

X-7

400G

Plu

sA

CT

IVIT

Y 1

Activity 1, Handout 2: FX-7400G Plus

♦ Press b c to move to the top of List 1 so that List 1 is highlighted.

♦ Press OPTN F1 Fa F1 for Seq( .


♦ Press X,T , X,T , 0 , 28 , 4 ) EXE .



233

Activity 1, Handout 2: FX-7400G PlusH

and

ou

t 2: FX

-7400G P

lus

AC

TIV

ITY

1


♦ Move over to List 2. Arrow up so the List 2 is highlighted.


♦ Press 16 ( 3 ÷ 4 ) ^ ( OPTN F1 F1 1 ÷4 ) .Then press EXE .

♦ Record the numbers in List 2 in the chart on Handout 1 and answer Questions 1 through 6.



Lesson 9234


Han

do

ut

2: F

X-7

400G

Plu

sA

CT

IVIT

Y 1


To represent graphically the amount of drug remaining over time, follow the steps below.♦ Press QUIT SHIFT MENU . Turn S-Wind to Auto and G-Func Off. Press EXE .

♦ Press F1 Fa F1 and turn StatGraph1 on and the other two off by pressing F1for On or F2 for Off.

♦ Press EXE . Press F1 to graph and then answer Questions 7, 8, and 9 on Handout 1.

♦ Then press QUIT . Press F1 Fa F4and use the down arrow key to scroll down thescreen and the function keys to make the followingchoices:



235

nithgieWsdnuoP

smargoliKnithgieW smargilliMniegasoD

08

09

001

011

042

052

Han

do

ut 1: D

osag

e Ch

artA

CT

IVIT

Y 2

Activity 2, Handout 1: Dosage Chart

Activity 2. Medicine Dosages

Handout 1: Dosage Chart

Problem:

The dosage of a certain drug is 1.5 milligrams per kilogram of body weight. How much drugshould be administered to a 140-pound woman? (Health Sciences Problem from Where Will I EverUse This?, Robert A. Forrester and Michael P. Highers, Volunteer State Community College, 1998.)

Note: 1 kg is approximately 2.2046226 lbs.

Use your graphing calculator and the instructions in Handout 2 to make a chart (in 10-poundincrements for patients between 80 pounds and 250 pounds) that will show the dosage recommendedfor each weight.

Record the calculator results in the chart below.

Weight inPounds

Weight in Kilograms Dosage in Milligrams



Lesson 9236

Han

do

ut

2: T

I-83

Plu

sA

CT

IVIT

Y 2



Handout 2: TI-83 Plus Calculator Instructions

♦ Go to STAT 1 ( Edit) and clear Lists 1, 2, and 3.

♦ Arrow up to List 1 and enter the sequence of numbers 80, 90, etc. using 2nd STAT(LIST) and a to (OPS) and press 5 .

♦ Record these numbers in the Weight in Poundscolumn of the Dosage Chart, Handout 1.

♦ For List 2 divide List 1 by 2.2046226, as shown onthe screen below, to get the corresponding kilogramweights.

♦ Multiply List 2 by 1.5, as shown on the screen below,to get the kilogram dosages in List 3.

♦ To round, use the MODE key to change from FLOAT to 0. Now view the lists with the dosagein milligrams.

♦ Record the entries in Lists 2 and 3 in the Dosage Chart, Handout 1.

♦ Then press the appropriate keys (see Activity 1, Hand-out 2) to generate the sequence (x, x, 80, 250, 10) inList 1.



237

Han

do

ut 2: T

I-73 Instru

ction

sA

CT

IVIT

Y 2



Handout 2: TI-73 Calculator Instructions

♦ Press LIST .

♦ Arrow up to List 1 and enter the sequence of numbers 80, 90, etc. using 2nd LIST(STAT), a to (OPS), and press 7 . Then press the appropriate keys (see Activity 1,Handout 2) to generate the sequence (x, x, 80, 250, 10) in List 1.

♦ Record these numbers in the Weight in Pounds column of the Dosage Chart, Handout 1.

♦ For List 2 divide List 1 by 2.2046226, as shown on the screen below, to get the correspondingkilogram weights.

♦ Multiply List 2 by 1.5, as shown on the screen below, to get the kilogram dosages in List 3.

♦ To round, use the MODE key to change from FLOAT to 0.

♦ Now view the lists with the dosage in milligrams.

♦ Record the entries in Lists 2 and 3 in the Dosage Chart, Handout 1.



Lesson 9238

Han

do

ut

2: C

FX

-985

0GB

Plu

sA

CT

IVIT

Y 2



Handout 2: Casio CFX-9850GB Plus Calculator Instructions

♦ From the Main Menu, press 2 and clear Lists 1, 2, and 3.

♦ Use the arrow keys to move the cursor to the heading of List 1. Press OPTN F1 F5 .Then press the appropriate keys (see Activity 1, Handout 2) to generate the sequence(X, X, 80, 250, 10) in List 1.




239

Han

do

ut 2: C

FX

-9850GB

Plu

sA

CT

IVIT

Y 2



♦ For List 2 divide List 1 by 2.2046226 to get the corresponding kilogram weights.

♦ Multiply List 2 by 1.5 to get the kilogram dosages in List 3.

♦ To round, press SHIFT MENU . Scroll down to Display and press F1 F1 . PressEXE . Notice that the number displayed in the lower right corner is rounded to milligrams.

♦ Record the entries in List 2 and 3 in the Dosage Chart, Handout 1.



Lesson 9240

Han

do

ut

2: F

X-7

400G

Plu

sA

CT

IVIT

Y 2



Handout 2: Casio FX-7400G Plus Calculator Instructions

♦ Use the arrow keys to move the cursor to the heading of List 1. Press OPTN F1 FaF1 . Then press the appropriate keys (see Activity 1, Handout 2) to generate the sequence

(X, X, 80, 250, 10) in List 1.




241

Han

do

ut 2: F

X-7400G

Plu

sA

CT

IVIT

Y 2



♦ For List 2, divide List 1 by 2.2046226 to get the corresponding kilogram weights.

♦ Multiply List 2 by 1.5 to get the kilogram dosages in List 3.

♦ To round, press SHIFT MENU .

♦ Scroll down to Display and press F1 F1 . Press EXE . Notice that the number dis-played in the lower right corner is rounded to milligrams.

♦ Record the entries in List 2 and 3 in the Dosage Chart, Handout 1.



Lesson 9242

Lesson 9 Approximate time needed for lesson: Math...

Documents

Transcript of Lesson 9 Approximate time needed for lesson: Math...