# Math 3 - Beginning Algebra I

## I. COURSE DESCRIPTION

A developmental course covering first year algebra

## II. PREQUSITES

Successful completion of MATH 2 or appropriate score on the placement test. Students will
not be allowed in the course without the required prequisites.

## III. INTRODUCTION

This course is de signed to introduce and develop basic algebraic concepts and skills listed
in the outline below. A student must have an 80% average to complete the course successfully
reenroll, or "U" - unsatisfactory and have to repeat the

## IV. INSTRUCTIONAL MATERIALS

Textbook: BEGINNING ALGEBRA by Miller and O'Neill; McGraw Hill, 2004
ISBN 0-07-236371-1 REQUIRED

Graphing or scientific calculator REQUIRED

Student's Solution Manual, ISBN 0-07-252554-1 OPTIONAL

See Section IX for material available in the Math Lab and LRC.

## V. MATERIAL TO BE COVERED

 Unit I Section R.1, Chapter 1, omit 1.7 5 weeks Unit II Chapter 2 and Section R.3 omit 2.8 3.5 weeks Unit III Chapter 3, Section 3.7 cover only Division by a Monomial, omit 3.8 2 weeks Unit IV Chapter 4, omit 4.7 3 weeks Unit V Chapter 5, omit 5.7 3 weeks Unit VI Section 1.7, Chapter 6, Section 6.5 optional 2 weeks

## VI. BASIC CONCEPTS

Chapter 1: Real Numbers

R.1 Fractions
1.1 Sets of Real Numbers
1.2 Order of Operations
1.4 Subtraction of Real Numbers
1.5 Multiplication and Division of Real Numbers
1.6 Properties of Real Numbers and Simplifying Expressions
1.7 OMIT

Chapter 2: Linear Equations , Linear Inequalities, and Geometry

2.1 Addition, Subtraction, Multiplication, and Division Properties of
Equality
2.2 Solving Linear Equations
2.3 Applications of Linear Equations: Introduction to Problem Solving
2.4 Linear Equations: Clearing Fractions and Decimals
R.3 Introduction to Geometry
2.5 Applications of Geometry
2.6 More Applications of Linear Equations (must cover ratio & proportion)
2.7 Linear Inequalities
2.8 OMIT

Chapter 3: Polynomials and Properties of Exponents

3.1 Exponents: Multiplying and Dividing Like Bases
3.2 More Properties of Exponents
3.3 Definition of b0 and b-n
3.4 Scientific Notation
3.5 Addition and Subtraction of Polynomials
3.6 Multiplication of Polynomials
3.7 Division of Polynomials (cover division by monomial only )
3.8 OMIT

Chapter 4: Factoring Polynomials

4.1 Greatest Common Factor and Factoring by Grouping
4.2 Factoring Trinomials: Grouping Method
4.3 Factoring Trinomials: Trial and Error Method
NOTE: Only one of the above methods should be presented .
4.4 Factoring Perfect Square Trinomials and the Difference of
Perfect Squares
4.5 Factoring the Sum and Difference of Perfect Cubes and General
Factoring Summary
4.6 Zero Product Rule
4.7 OMIT

Chapter 5: Rational Expressions

5.1 Introduction to Rational Expressions
5.2 Multiplication and Division of Rational Expressions
5.3 Least Common Denominator
5.4 Addition and Subtraction of Rational Expressions
5.5 Complex Fractions
5.6 Rational Equations
5.7 OMIT

Chapter 6: Graphing Linear Equations in Two Variables

1.7 Connections to Graphing: Rectangular Coordinate System
6.1 Linear Equations in Two Variables
6.2 Slope of a Line
6.3 Slope - Intercept Form of a Line
6.4 Point - Slope Formula
6.5 Connections to Graphing: Applications of Linear
Equations (Optional)

## VII. SUGGESTED WEEKLY SCHEDULE - 16 WEEK SEMESTER

Week 1R.1, 1.1 - 1.4
Week 21.5, 1.6 (omit 1.7), Test Unit I, 2.1
Week 32.2 – 2.4
Week 4R.3, 2.5
Week 52.6, 2.7 (omit 2.8)
Week 6Test Unit II, 3.1 – 3.3
Week 73.4 – 3.7 (cover only Division by a Monomial in 3.7 and omit 3.8)
Week 8Test Unit III, 4.1
Week 94.2 or 4.3, 4.4, 4.5
Week 104.5, 4.6 (omit 4.7), Test Unit IV
Week 115.1 – 5.3
Week 125.4, 5.5
Week 135.6 (omit 5.7), Test Unit V
Week 141.7, 6.1, 6.3
Week 156.4, 6.5 (optional), Test Unit VI
Week 16Final Exam to be given during scheduled exam period.

## VIII. SUGGESTED WEEKLY SCHEDULE – 10 WEEK SEMESTER

Week 1R.1, 1.1 - 1.6 (omit 1.7)
Week 2Test Unit I, 2.1 – 2.4
Week 3R.3, 2.5 – 2.6
Week 42.7 (omit 2.8), Test Unit II, 3.1, 3.2
Week 53.1 – 3.7 (cover only Division by a Monomial in 3.7 and omit 3.8),
Test Unit III
Week 64.1, 4.2 or 4.3, 4.4

Week 74.5, 4.6 (omit 4.7), Test Unit IV

Week 85.1 – 5.4
Week 95.5, 5.6 (omit 5.7), Test Unit V, 1.7, 6.1, 6.3
Week 106.4, 6.5 (optional), Test Unit VI, Final Exam

## IX. ADDITIONAL MATERIAL AVAILABLE TO STUDENTS

TCC Student ID Required to Use the First 3 Resources.

1. CD – ROM, available in the Math Lab
2. Complete Solutions Guide, available in the Math Lab
3. Videotapes available in LRC, Media Resources

## X. NOTES TO THE INSTRUCTOR

1. Unit I should be taught as a review of arithmetic skills (signed numbers and fractions).
Remind students of this and if a student is having difficulty, this may be an indication
he/she should be in MATH 2.
2. Geometry must be done either as part of Unit II or as a seperate unit.
3. Either one test on equations, applications, and geometry or two separate tests may be
given. One test should cover equations and applications and the other geometry.
4. In Section 3.7, cover only division by a monomial.
5. When covering factoring quadratic trinomials use one of the methods presented in the
book
(grouping or trial and error) only. NO OTHER METHOD MUST BE
PRESENTED.
6. To be successful in subsequent math courses a student must obtain a high level of
proficiency with the material presented in MATH 3. Therefore, no unit tests, or the
final exam, should be open-book or take home.

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