Download Sample Lesson Plan

Teacher:
John M Cox
School:
Nogales High School
Subject Area(s) Addressed:
Psychiatry with Math Applications
Grade Level(s)/Course:
12
Date Submitted:
2/2/2011
Lesson/Unit Duration:
1-2 day(s)
Lesson/Unit Title
Psychiatry with Math Applications (Health Grant)
Lesson/Unit
Goal
Students calculate the appropriate dosages.
Interpret psychological and psychoeducational test results such as IQ tests.
Academic
Standards
(List source & #)
Teacher-Led
Activities
(Introductory
Lesson)
StudentCentered
Activities and
Procedure
Assessment(s)
AP Statistics: 7.0 Students demonstrate an understanding of the standard distributions (normal, binomial, and exponential) and can
use the distributions to solve for events in problems in which the distribution belongs to those families.
Probability and Statistics: 8.0 Students organize and describe distributions of data by using a number of different methods, including
frequency tables, histograms, standard line and bar graphs, stem-and-leaf displays, scatterplots, and box-and-whisker plots.
Health: 8.1.M Support the needs and rights of others regarding mental and social health.
ELA Writing: Research and Technology: 1.3 Use clear research questions and suitable research methods to elicit and present
evidence from primary and secondary sources.
YouTube Video: Careers in Psychology: What Is a Psychiatrist?
A psychiatrist often prescribes medication to patients. On a daily basis they also have to calculate the appropriate dose to give to the
patient.
Statistics is also used to interpret psychological and psychoeducational test results such as IQ tests.
1. Make a sketch that describes the treatments formed by combining dose and method on whiteboards.
2. Use a block design. Separate men and women and randomly allocate treatments to gender.
3. Say in words what a positive association between IQ and GPA would mean.
4. Students generate a Scatterplot of school grade point average versus IQ test score. Does the plot show a positive association?
5. Students read: “Children Taking ADHD Medication Do Better on Math, Reading Tests”
A drug manufacturer is studying how a new drug behaves in patients. Investigators compare two doses: 5 milligrams
(mg) and 10 mg. The drug can be administered by injection, by a skin patch, or by intravenous drip. Concentration in
the blood after 30 minutes (the response variable) may depend both on the dose and on the method of administration.
(a) Make a sketch that describes the treatments formed by combining dose and method. Then use a diagram to outline
a completely randomized design for this two-factor experiment.
(b) “How many subjects?” is a tough issue. We will explain the basic ideas in Chapter 10. What can you say now about
the advantage of using larger groups of subjects?
(c) The drug may behave differently in men and women. How would you modify your experimental design to take this
into account?
Correct Answer
(a)
(b) Large samples give more information; in particular, with large samples we reduce variability in the observed mean concentrations
so that we can have more confidence that the differences we might observe are due to the treatment applied rather than random
fluctuation. (c) Use a block design. Separate men and women and randomly allocate the 6 treatments to each gender.
IQ and school grades Do students with higher IQ test scores tend to do better in school? Here is a scatterplot of IQ and school grade point average
(GPA) for all 78 seventh-grade students in a rural midwestern school.4
Scatterplot of school grade point average versus IQ test score for seventh-grade students.
(a) Say in words what a positive association between IQ and GPA would mean. Does the plot show a positive association?
(b) What is the form of the relationship? Is it roughly linear? Is it very strong? Explain your answers.
(c) At the bottom of the plot are several points that we might call outliers. One student in particular has a very low GPA despite an average IQ score.
What are the approximate IQ and GPA for this student?
Answer:
(a) A positive association would mean that students with higher IQs tend to have higher GPAs, and those with lower
IQs generally have lower GPAs. The plot shows a positive association. (b) The relationship is positive, roughly linear,
and moderately strong (except for 3 outliers). (c) The student with the lowest GPA (0.5) has an IQ of about 103.
Resources
Needed
Content resources (books, Articles, speakers, handouts,
materials, etc.)
Software/Web Resources (CD- ROM’s, URLs, etc.)
Psychiatric News June 19, 2009
Volume 44 Number 12 Page 2
© American Psychiatric Association
http://pn.psychiatryonline.org/content/44/12/2.full
http://www.youtube.com/watch?v=Vt9rqLB3yvM
Hardware (computers, TV, VHS, etc)
Other media, video, satellite, etc.
Teacher computer/InterWrite Mobi/CPS pulse pads/CPS assessment
software/TI 84 graphing calculators/student whiteboards/marker/eraser
YouTube video clip