Download Math 1322 - College of DuPage

College of DuPage
FY Fall/17
ACTIVE COURSE FILE
Curricular Area: Mathematics
Course Number: 1322
Course Title: Mathematics for Elementary School Teachers II
Semester Credit Hours: 3
Lecture Hours: 3
Lab Hours: 0
Clinical Hours: 0
This course is an IAI approved general education course: M1 903.
Changes from the present course must be accompanied by a yellow
Course Revision or Deletion Form.
Course description to appear in catalog:
A continuation of Math 1321. Designed for elementary education majors.
Introduction to probability and statistics, measurement, geometric
constructions, coordinate geometry, and geometric transformations.
Prerequisite:
Math 1321 (or college equivalent) with a grade of C or better and
demonstrated geometry competency (level 1)
A.
General Course Objectives:
Upon successful completion of this course, students should be able to
do the following:
1. Develop an understanding of the mathematics of position, form,
and space
2. Apply mathematical reasoning to solve problems and analyze
solutions
3. Develop an in-depth understanding of the fundamentals of the
measurement process
4. Interpret and solve problems of probability and statistics
5. Demonstrate an ability to use problem solving skills
B. Topical Outline:
All topics, other than optional topics (indicated by *), are to be covered.
1.
Statistics
a. Statistical graphs and charts
b. Measures of central tendency and dispersion
c. The normal distribution
2.
Probability
a. Sample spaces and events
b. Compound events
1) Tree diagrams
2) Fundamental counting property
c. Conditional probability
d. Odds and expected value
e. Permutations and combinations*
3.
Geometric shapes
a. Definitions of basic geometric terms
b. Properties of points, lines, and circles
c. Polygons
d. Tessellations*
e. 3-dimensional shapes
f. Symmetry
4.
Measurement
a. Metric units of measurement
b. Perimeter and circumference
c. Area of polygons and circles
d. The Pythagorean Theorem
e. Volume and surface area
5.
Congruence and similarity
a. Definition of congruence
b. Congruence properties of triangles
c. Basic proofs involving congruent triangles*
d. Geometric constructions
e. Similarity properties of triangles
6.
Coordinate geometry
a. Slope, distance, and midpoint formulas
b. Equations of lines and circles
c. Graphing lines
d. Systems of equations
7.
Geometric transformations
a. Isometries
1) Translations
2) Rotations
3) Reflections
4) Glide reflections
b. Similitudes*
C.
Methods of Evaluating Students:
Unit tests and projects at appropriate intervals; quizzes, homework, and a
comprehensive final examination, all at the discretion of the instructor.
Problem-solving projects and one or more projects that involve the use of
the Internet or other forms of technology will be included in the course.
Optional course projects may include computer software evaluations,
reports on articles from professional journals, classroom presentations of
mathematical topics, textbook evaluations, field trips, or projects on
selected topics covered in the course.
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Initiator
Date
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Sponsor
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Division Dean
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Textbooks for Math 1322
Title:
Mathematics for Elementary Teachers, A
Contemporary Approach, 10th Edition
Author:
Musser, Burger, and Peterson
Publisher:
Wiley
Copyright:
2014
The following chapters and sections of the textbook should be covered:
Chapter 10:
Chapter 11:
Chapter 12:
Chapter 13:
Chapter 14:
Chapter 15:
Chapter 16:
All sections
Sections 11.1, 11.2, and 11.4 (Section 11.3 is optional.)
All sections (The material on tessellations in Section 12.4 is
optional.)
All sections
Sections 14.1, 14.2, and 14.3 (Section 14.4 is optional.)
Sections 15.1 and 15.2
Section 16.1 (The material on similitudes is optional.)
Use of Technology in Math 1322
The mathematics faculty recommends to all mathematics instructors that
any technology be allowed and encouraged in any level mathematics
course when it can be used by a student to either
1.
simplify calculations where the mechanics of the problem
have already been mastered or
2.
explore and experiment with concepts and problems that
enrich the understanding of the material that is being taught.
Calculators are recommended in studying statistics, probability, and
measurement.
For other topics, calculators may be used at the discretion of the instructor.
However, students should be able to graph lines and circles and find the
intersection of lines without the aid of a graphing calculator.
In all Mathematics courses, students with a documented learning disability
that specifically requires a calculator as determined by Health Services, will
be allowed to use a basic calculator for all test/quiz questions where
arithmetic calculations are not the main objective. The specific disability
must be verified with Health Services before the accommodation can be
made.