Big Sandy Community and Technical College
Course Syllabus
PS Number:
89153
Semester:
Faculty Name:
Lisa J. Music, Ph.D.
Course Prefix and Number:
MAT 206-B001
Spring
Year:
Title:
Professor
Course Credit Hours:
2016
3
Course Prerequisites:
Prerequisite: MAT 145 or MAT 150. Minimum C grade required.
Course Title:
Mathematics for Elementary and Middle School Teachers II
Catalog Course Description:
Introduces probability and statistics; geometric concepts including
congruence and similarity; and measurement. Required demonstration
of basic skills in mathematics to receive credit in this course.
Prerequisite: MAT 145 or MAT 150, or equivalent, with a minimum
grade of “C”.
Instructor Contact Information:
Campus Location:
Prestonsburg
Building & Room:
P107F
Office Hours:
See posted office schedule
Office Phone Number:
889-4760
Best Times to Call:
During office hours; however, it is best to contact me by email
KCTCS Email:
Alternate Number:
606-886-3863 ext 64760
Lisa.music@kctcs.edu
Special Instructions:
It is best to contact me by email. With any message, please include your name
and the class in which you are enrolled.
Supervisor Contact Information:
Name:
Dr. Patsy Jackson
Campus Location:
Prestonsburg
Office Phone Number:
606-889-4711
Building & Room:
C120H
KCTCS Email:
Patsy.jackson@kctcs.edu
Text and Supplies:
Textbook: Mathematical Reasoning for Elementary Teachers Seventh Edition by Long, DeTemple, and
Millman
This course uses Pearson’s MyLabsPlus which will be accessed via Blackboard. (A separate code is not
required.)
A scientific calculator is needed for this course (non-graphing). The use of a computer with internet
access is also required.
KCTCS General Education Competencies
Students should prepare for twenty-first century challenges by gaining:
A. Knowledge of human cultures and the physical and natural worlds through study in the sciences
and mathematics, social sciences, humanities, histories, languages, and the arts.
Method to Achieve Competency:
N/A
B. Intellectual and practical skills, including
 inquiry and analysis
 critical and creative thinking
 written and oral communication
 quantitative literacy
 information literacy
 teamwork and problem solving
Method to Achieve Competency:
Questions from exams and/or quizzes will be used to report intellectual and practical skills, including
inquiry and analysis and/or critical and creative thinking using the TQM rubric.
C. Personal and social responsibility, including
 civic knowledge and engagement (local and global)
 intercultural knowledge and competence
 ethical reasoning and action
 foundations and skills for lifelong learning
Method to Achieve Competency:
N/A
D. Integrative and applied learning, including synthesis and advanced accomplishment across general
and specialized skills.
Method to Achieve Competency:
N/A
Course Specific Competencies (Student Outcomes):
Upon completion of this course, the student can:
1.
Demonstrate visualization skills:
a.
Identify projections, cross-sections, and decomposition of common two- and threedimensional figures.
b.
Represent three-dimensional shapes in two dimensions and construct threedimensional objects from two-dimensional representations.
c.
Mentally manipulate physical representations of two- and three-dimensional shapes.
d.
Determine the rotational and line symmetries for two-dimensional shapes.
2.
Demonstrate familiarity with basic shapes and their properties:
a.
Understand fundamental objects of geometry, including point, ray, line, and line
segment.
b.
Understand angles and how they are measured.
c.
Identify plane isometries - reflections (flips), rotations (turns), and translations (slides).
d.
Understand congruence, similarity, and proportional reasoning via similarity.
e.
Understand technical vocabulary and the importance of definition.
f.
Identify currently available manipulatives and software that allow exploration of shapes.
3.
Understand the process of measurement and measurement techniques:
a.
Recognize different aspects of size.
b.
Understand the idea of unit and the need to select a unit appropriate to the attribute
being measured.
c.
Identify the standard (U.S. Customary and the International System (SI-metric)) system
of units.
d.
Use measurement tools such as rulers and meter sticks to make measurements.
e.
Estimate with common units of measurement.
f.
Compare units and relating measurements within each of the two common systems of
measure, U.S. Customary and the International System (SI-metric).
g.
Understand that measurements are approximate and that different units affect
precision.
h.
i.
Understand and use the Pythagorean Theorem.
4.
Understand length, area, and volume:
a.
Understand what is meant by one-, two-, and three-dimensions.
b.
Visualize rectangles as arrays of squares and rectangular solids as arrays of cubes.
c.
Recognize the behavior of measure (length, area, and volume) under uniform dilations.
d.
Devise area formulas for triangles, parallelograms, and trapezoids.
e.
Understand the formula for the area of a circle.
f.
Identify volume and surface area formulas for prisms, cylinders, and other threedimensional objects.
g.
Decompose and recompose non-regular shapes to find area or volume.
h.
Understand the independence of perimeter and area, and of surface area and volume.
5.
Describe data:
a.
Understand measures of dispersion including range and outliers and what these indicate
about the question being addressed by the data.
b.
Understand measures of central tendency including mean, median, and mode and what
these indicate about the question being addressed by the data.
c.
6.
7.
Identify different forms of graphical data representation, e.g. line plots, histograms, line
graphs, bar graphs, box plots, pie charts, stem-and-leaf plots.
d.
Recognize that different forms of representation communicate different features of the
data and that some representations are more appropriate than others for a given data
set.
e.
Compare two sets of data (not necessarily of the same size).
Draw reasonable conclusions:
a.
Choose among representations and summary statistics to communicate conclusions.
b.
Understand some of the difficulties that arise in sampling and inference.
c.
Recognize some of the ways that statistics and graphical displays of data can be
misleading.
Develop notions of probability:
a.
Make judgments under uncertainty.
b.
Assign numbers as a measure of likelihood to single-stage and multi-stage events.
c.
Understand conditional probability and some of its applications.
d.
Understand the idea of randomness.
e.
Develop empirical probabilities through simulations; relate them to theoretical
probability.
f.
Understand expected value and fairness and use probability to determine fairness.
Lab Competencies (Student Outcomes): (Enter N/A if this does not apply.)
N/A
Course Outline:
I.
Geometry.
A.
Visualization Skills.
1.
Projections, cross-sections and decomposition of two- and three-dimensional
figures.
2.
Rotational and line symmetries for two-dimensional figures.
3.
Representation of three-dimensional figures from two-dimensional
representations.
B.
Basic Geometry Figures and their Properties.
1.
Definitions and recognition of fundamental two- and three-dimensional figures
of geometry.
2.
Definitions of point, ray, line and line segment.
3.
Angles and angle measurement.
4.
Reflections, rotations, and translations.
5.
Congruence and similarity.
6.
Proportional reasoning.
C.
Length, area and volume of fundamental two-and three-dimensional geometry figures.
1.
Area and Perimeter formulas for basic figures.
2.
Volume formulas for basic figures.
3.
Behavior of measure under uniform dilations.
II.
Measurement and measurement techniques.
A.
U.S. Customary and International System (SI-metric) of unit conversion.
B.
Appropriate use of measurement tools.
C.
Approximate and precision measurement.
D.
Role of in measurement.
III.
IV.
V.
E.
Pythagorean Theorem.
Data Analysis.
A.
Types of questions addressed and decisions made using data.
B.
Designing surveys and statistical experiments.
C.
Random Sampling.
Statistics.
A.
Symmetric and skewed distributions.
B.
Measures of data spread.
C.
Measures of central tendency.
D.
Graphical data representations.
E.
Comparing data and drawing conclusions from data.
F.
Misuses of data.
Probability.
A.
Single-stage and multi-stage events.
B.
Conditional probability and its applications.
C.
Randomness.
D.
Empirical and theoretical probabilities.
E.
Expected value and fairness.
Course Structure:
This is a web-enhanced course. Students will be expected to attend class meetings on a regular basis.
Students are expected to view information online and will be required to submit work online. Class
meetings may consist of lecture, work sessions, activities, quizzes, or a combination of these. Students
are expected to complete readings and assignments as well as view videos and PowerPoint
presentations outside of class. Homework assignments, class activities, quizzes, and exams will be
required throughout the semester.
Technology/Media Component:
The use of a scientific calculator, computer, and internet are required for success in this course.
Graphing calculators will not be permitted for use during exams. Cell phones will not be permitted
for use during exams.
Service-Learning:
N/A
Course Requirements and Evaluation:
Grades will be based on Homework 30%, Class Activities 40%, and Quizzes 10%, and Exams 20%.
Homework:
Homework will count as 30% of the final grade. The student is responsible for being aware of the
homework assignments and of the due dates for the assignments. The student should expect to receive
a score of zero for homework assignments not completed.
Class Activities:
Class activities will count as 40% of the final grade. The student is expected to participate in all class
activities and discussions. If the student is absent or does not participate in the assigned activity a zero
should be expected for that activity grade.
Quizzes:
Quizzes will count as 10% of the final grade. Quizzes may be given in class or online. The student is
responsible for being aware of the due dates and should expect to receive a score of zero for any quiz
not completed as scheduled.
Exams:
Exams will count as 20% of the final grade. There will be two exams. The student is responsible for
being aware of the due dates and should expect to receive a score of zero for any exam not completed
as scheduled. Scientific calculators can be used on exams. Graphing calculators and cell phones will not
be permitted for use during exams.
Grading Policy:
The scale below shows the relationship between your semester percent average and the letter grade
you will receive.
A = 90% - 100%
B = 80% - 89%
C = 70% - 79%
D = 60% - 69%
E = 59% and below
Attendance Policy:
Attendance in class is very important to student success. Part of the overall grade for this course is
based on completing activities in class. If students are not in class then they cannot participate in the
activities and discussions, therefore, they should expect to not earn any credit for the missed class.
Students are expected to complete the required readings, homework assignments, class activities,
quizzes, and exams within the allotted time frame. The student is responsible for being aware of the
due dates for all readings, assignments, activities, quizzes, and exams. Participation is reported to the
Admissions Office and Financial Aid as requested during the semester.
Missed Exam Policy:
Students are expected to be in attendance on exam days and complete exams as scheduled. The
student is responsible for being aware of the exam date and should expect to receive a score of zero for
any exam not completed as scheduled. In the event of an emergency, a makeup exam may be
scheduled at the discretion of the instructor. Verification of the emergency may be required. It is the
responsibility of the student to make arrangements with the instructor to make up a missed exam and
to provide justifiable verification for the absence. Any student who misses a scheduled makeup day
may be given a score of zero for that exam. Students should be aware that makeup exams might vary
from the scheduled exam. They will cover the same material but may vary in format.
Late Assignment Policy:
Students are expected to complete readings, homework assignments, class activities, quizzes, and
exams in a timely manner. Late assignments will not routinely be accepted. If the instructor chooses to
accept a late assignment a deduction may be given for that grade. The student should expect to receive
a grade of zero for any homework assignment, class activity, quiz, or exam not submitted.
Withdrawal Policy:
A student can withdraw from the course at his or her discretion and receive a “W” until midterm, March
4, 2016. After midterm, the student will be allowed to withdraw with a “W” only if the student has
continued to attend and participate in the course and, in the opinion of the instructor, has made a
reasonable effort to pass the course. The student wishing to withdraw that does not meet the criteria
will not be permitted to do so and will receive a grade at the end of the semester. The student is
responsible for being aware of the proper procedure to withdraw from a course and should contact
admissions for further information. The last date to withdraw with instructor permission is April 29,
2016.
Additional information can be found at the following site:
http://www.bigsandy.kctcs.edu/en/Academics/Office_Hours_Schedules_and_Syllabi.aspx