MAT 155

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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 099 with a S/C or better or ACCUPLACER Math Test score of 85-120 (EA)

3.

RESOURCES NEEDED:

TEXT:

A Problem Solving Approach to Mathematics for Elementary School Teachers, 10/e with MyMathLab Student Access Kit by Billstein, Libeskind, and Lott

ISBN: 9780558926687

SUPPLIES:

MyMathLab Student Access Kit, paper, pencil, and 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.

COURSE OBJECTIVES :

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.

EVALUATION PROCEDURES:

The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout.

Grading Scale:
The following Grading Scale will be used:

90% – 100% - A
80% – 89% - B
70% – 79% - C
60% - 69% - D
0% - 59% - F

7.

COURSE OUTLINE:

Textbook Chapters 1 - 8

1. An Introduction to Problem Solving

1-1 Mathematics and Problem Solving

1-2 Explorations with Patterns

1-3 Reasoning and Logic: An Introduction

2. Numeration Systems and Sets

2-1 Numeration Systems

2-2 Describing Sets

2-3 Other Set Operations and their Properties

3. Whole Numbers and Their Operations

3-1 Addition and Subtraction of Whole Numbers

3-2 Algorithms for Whole-Number Addition and Subtraction

3-3 Multiplication and Division of Whole Numbers

3-4 Algorithms for Whole-Number Multiplication and Division

3-5 Mental Mathematics and Estimation for Whole-Number Operations

4. Algebraic Thinking

4-1 Variables

4-2 Equations

4-3 Functions

5. Integers and Number Theory

5-1 Integers and Operations of Addition and Subtraction

5-2 Multiplication and Division of Integers

5-3 Divisibility

5-4 Prime and Composite Numbers

5-5 Greatest Common Divisor and Least Common Multiple

5-6 Clock and Modular Arithmetic

6. Rational Numbers as Fractions

6-1 The Set of Rational Numbers

6-2 Addition, Subtraction, and Estimation with Rational Numbers

6-3 Multiplication and Division of Rational Numbers

7. Decimals and Real Numbers

7-1 Introduction to Decimals

7-2 Operations on Decimals

7-3 Nonterminating Decimals

7-4 Real Numbers

7-5 Using Real Numbers in Equations

8. Proportional Reasoning, Percents, and Applications

8-1 Ratios, Proportions, and Proportional Reasoning

8-2 Percents

8-3 Computing Interest

8.

METHODS OF INSTRUCTION:

To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities.

Special Note for Pueblo Campus: This course may use MyMathLab for assignments and exams and may require active participation in the use of the online software program.

The instructor may assign point values to such activities.

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. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.

10.

DISABILITY STATEMENT:

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.

11.

SPECIAL REMARKS:

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

Attendance: Attendance will be taken and students may be withdrawn from the class 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 will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class.

Use of Electronics in the Classroom: Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.

1.	TITLE OF COURSE:	Integrated Math I
	PREFIX/NUMBER:	MAT 155	CREDIT HOURS:	3
2.	PREREQUISITE:	Successful completion of MAT 099 with a S/C or better or ACCUPLACER Math Test score of 85-120 (EA)
3.	RESOURCES NEEDED:
	TEXT:	A Problem Solving Approach to Mathematics for Elementary School Teachers, 10/e with MyMathLab Student Access Kit by Billstein, Libeskind, and Lott ISBN: 9780558926687
	SUPPLIES:	MyMathLab Student Access Kit, paper, pencil, and 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.	COURSE OBJECTIVES :	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.	EVALUATION PROCEDURES:	The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout. Grading Scale: The following Grading Scale will be used: 90% – 100% - A 80% – 89% - B 70% – 79% - C 60% - 69% - D 0% - 59% - F
7.	COURSE OUTLINE:	Textbook Chapters 1 - 8 1. An Introduction to Problem Solving 1-1 Mathematics and Problem Solving 1-2 Explorations with Patterns 1-3 Reasoning and Logic: An Introduction 2. Numeration Systems and Sets 2-1 Numeration Systems 2-2 Describing Sets 2-3 Other Set Operations and their Properties 3. Whole Numbers and Their Operations 3-1 Addition and Subtraction of Whole Numbers 3-2 Algorithms for Whole-Number Addition and Subtraction 3-3 Multiplication and Division of Whole Numbers 3-4 Algorithms for Whole-Number Multiplication and Division 3-5 Mental Mathematics and Estimation for Whole-Number Operations 4. Algebraic Thinking 4-1 Variables 4-2 Equations 4-3 Functions 5. Integers and Number Theory 5-1 Integers and Operations of Addition and Subtraction 5-2 Multiplication and Division of Integers 5-3 Divisibility 5-4 Prime and Composite Numbers 5-5 Greatest Common Divisor and Least Common Multiple 5-6 Clock and Modular Arithmetic 6. Rational Numbers as Fractions 6-1 The Set of Rational Numbers 6-2 Addition, Subtraction, and Estimation with Rational Numbers 6-3 Multiplication and Division of Rational Numbers 7. Decimals and Real Numbers 7-1 Introduction to Decimals 7-2 Operations on Decimals 7-3 Nonterminating Decimals 7-4 Real Numbers 7-5 Using Real Numbers in Equations 8. Proportional Reasoning, Percents, and Applications 8-1 Ratios, Proportions, and Proportional Reasoning 8-2 Percents 8-3 Computing Interest
8.	METHODS OF INSTRUCTION:	To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities. Special Note for Pueblo Campus: This course may use MyMathLab for assignments and exams and may require active participation in the use of the online software program. The instructor may assign point values to such activities.
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. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.
10.	DISABILITY STATEMENT:	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.
11.	SPECIAL REMARKS:	*Homework: Homework will be assigned and evaluated as determined by the instructor. Attendance: Attendance will be taken and students may be withdrawn from the class 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 will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class. *Use of Electronics in the Classroom:* Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.