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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1. TITLE OF COURSE: Integrated Math I
  PREFIX/NUMBER: MAT 155 CREDIT HOURS: 3
2. PREREQUISITE: Successful completion of MAT 106 with a C or better or Math Assessment
3.

RESOURCES NEEDED:

 
 

TEXT:

Mathematics for Elementary Teachers: A Contemporary Approach, 7, Musser, Burger, & Peterson

 

SUPPLIES:

Pencil, paper, scientific calculator

4.

COURSE DESCRIPTION:

Covers topics including natural numbers, integers, rational numbers, relations, functions, and equations.  This course is the first of a two-course sequence particularly pertinent to prospective arithmetic teachers, presenting arithmetic and algebra from a modern approach.
5. STANDARD COMPETENCIES:
  A. Investigate numerical and geometric patterns and express them mathematically.
  B. Solve problems using a variety of problem solving strategies.
  C. Solve problems using algebraic thinking skills.
  D. Determine the validity of a statement using logic.
E. Solve problems using set theory.
F. Solve problems involving the arithmetic of whole numbers.
G. Represent and analyze patterns and functions, using words, tables, equations, and graphs.
H. Solve problems with different numeration systems.
I. Solve problems involving the arithmetic of integers.
J. Solve elementary problems in number theory.
K. Solve problems involving the arithmetic of rational numbers.
L. Solve problems involving real numbers.
6. COURSE OUTLINE
1.0 Introduction to Problem Solving
    1.1  The Problem-Solving Process and Strategies
    1.2  Three Additional Strategies
   2.0 Sets, Whole Numbers, and Numeration
2.1  Sets As a Basis for Whole Numbers
  2.2  Whole Numbers and Numeration
    2.3  The Hindu-Arabic System
2.4  Relations and Functions
   3.0 Whole Numbers: Operations and Properties
    3.1  Addition and Subtraction
  3.2  Multiplication and Division
    3.3  Ordering and Exponents
   4.0 Whole Number Computation – Mental, Electronic, and Written
    4.1  Mental Math, Estimation, and Calculators
    4.2  Written Algorithms for Whole-Number Operations
4.3  Algorithms in Other Bases
  5.0 Number Theory
    5.1  Primes, Composites, and Tests for Divisibility
  5.2  Counting Factors, Greatest Common Factor, and Least Common Multiple
   6.0 Fractions
    6.1  The Set of Fractions
  6.2  Fractions: Addition and Subtraction
6.3  Fractions: Multiplication and Division
7.0 Decimals, Ratio, Proportion, and Percent
7.1  Decimals
7.2  Operations with Decimals
7.3  Ratio and Proportion
7.4  Percent
8.0 Integers
8.1  Addition and Subtraction
8.2  Multiplication, Division, and Order
9.0 Rational Numbers, Real Numbers, and Algebra
9.1  The Rational Numbers
9.2  The Real Numbers
    9.3  Functions and Their Graphs
7. EVALUATION PROCEDURES
 

Evaluation methods and procedures will be determined by the instructor.   These may consist of but not limited to:  quizzes, assignments, exams, individual and/or group projects.

Grading Scale:

90% - 100% - A

80% - 89% - B

70% - 79% - C

60% - 69% - D

0% - 59% - F

 8. Special Remarks
Homework: Homework will be assigned and evaluated as determined by the instructor.

Cheating:

If cheating occurs, it will result in a zero on that exam.

Attendance:

Attendance will be taken and students will be dropped when they have  missed 20% of the total class time.  Missed exams  will result in a zero for that exam unless prior arrangements have been  made.

Conduct: Professional and courteous behavior is expected at all times.  Disruptive behavior is unacceptable in the classroom and may result in the student's temporary or permanent removal from the course.
Help is available outside of class, in the math labs or from the instructor.
9. ACADEMIC INTEGRITY:
  The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Sanctions for violating the standards of academic integrity may include warning, probation, suspension, and/or failure of the course or assignment at the discretion of the instructor.
10. ADA NOTICE:
 

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.