Course Plan for Beginning Algebra I
I. COURSE DESCRIPTION
A developmental course covering first year algebra.
II. PREQUSITES
Successful completion of MTH 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 designed 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
and receive a grade of "S" – satisfactory. Otherwise the student will receive a
grade of "R" -
reenroll, or "U" - unsatisfactory and have to repeat the course.
IV. INSTRUCTIONAL MATERIALS
Textbook: ALGEBRA, A COMBINED APPROACH, Custom Edition for Tidewater Community
College by Martin-Gay; Pearson, 2009
ISBN: 0558205771 REQUIRED
With the purchase of a new book, students receive the
following Resources
Chapter Test Prep DVD ROM
Lecture Videos DVD ROM
My Math Lab student access code
See Section IX for material available in the Math Lab and
LRC.
V. MATERIAL TO BE COVERED
| Unit I |
Section R.1, R.2, Chapter 1 |
1.5 weeks |
| Unit II |
Chapter 2 |
2 weeks |
| Unit III |
R. 3- R. 5, Geometry Applications in 2.4, 2.5 |
1.5 weeks |
| Unit IV |
Chapter 3 |
2 weeks |
| Unit V |
Chapter 4 |
3 weeks |
| Unit VI |
Chapter 5 ( section 5.7 - cover
Proportions only) |
3 weeks |
| Unit VII |
Chapter 6 |
2 weeks |
VI. BASIC CONCEPTS
| Unit 1 |
Real Numbers and Introduction to
Algebra |
| |
1.1
R.1
R.2
1.2
1.3
1.4
1.5
1.6
1.7
1.8 |
Tips for Success in Mathematics
Factors and the Least Common Multiple
Fractions
Symbols and Sets of Real Numbers (cover lightly)
Exponents, Order of Operations, and Variable Expressions
Adding Real Numbers
Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Properties of Real Numbers (cover lightly but emphasize the Distributive
Property)
Simplifying Expressions |
| Unit II |
Equations, Inequalities, and
Problem Solving |
| |
2.1
2.2
2.3
2.4
2.5
2.6
2.7 |
The Addition Property of Equality
The Multiplication Property of Equality
Further Solving Linear Equations
An Introduction to Problem Solving
Formulas and Problem Solving
Mixture and Uniform Motion Problem Solving (mixture problems
optional)
Solving Linear Inequalities |
| Unit III |
Geometry |
| |
R.3
R.4
R.5
2.4
2.5 |
Lines and Angles
Perimeter
Area, Volume, and Surface Area (surface area is optional)
Selected Geometry Applications
Selected Geometry Applications |
| Unit IV |
Exponents and Polynomials |
| |
3.1
3.2
3.3
3.4
3.5
3.6
3.7 |
Exponents
Negative Exponents and Scientific Notation
Introduction to Polynomials (Objective F-Inserting “Missing Terms is
optional)
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Products (cover lightly)
Dividing Polynomials |
| Unit V |
Factoring Polynomials |
| |
4.1
4.2
4.3
4.4
4.5 |
The Greatest Common Factor
Factoring Trinomials of the Form ax2 + bx + c by the Grouping Method
Note: Factoring by Trial and Error is covered in appendices A.1 & A.2
Factoring By Special Products (perfect square trinomials is optional)
Solving Quadratic Equations by Factoring
Quadratic Equations and Problem Solving |
| Unit VI |
Rational Expressions |
| |
5.1
5.2
5.3
5.4
5.5
5.6
5.7
|
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtractiong Rational Expressions with the Same
Denominator and the Least Common Denominators
Adding and Subtractiong Rational Expressions with Different
Denominators
Simplifying Complex Fractions
Solving Equations Containing Rational Expressions
Proportions and Problem Solving with Rational Equations
Note: Must cover Proportions |
| Unit VII |
Graphing Equations |
| |
6.1
6.2
6.3
6.4
6.5
6.6 |
Reading Graphs and the Rectangular Coordinate
System
(stress the Rectangular Coordinate System)
Graphing Linear Equations
Intercepts
Slope and Rate of Change
The Slope-Intercept Form
More Equations of Lines |
| VII |
Suggested Weekly Schedule - 15
Week Semester |
| |
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
ONLY
Week 9
Week 10
Week 11
Week 12
Week 13
Week 14
Week 15 |
1.1, R.1, R.2, 1.2 - 1.5, Integrated Review, 1.6
1.7(stress the Distributive Property), 1.8, Test Unit I (NO
CALCULATORS),
2.1
2.2, 2.3, Integrated Review, 2.4
2.5- 2.7, Test Unit II
R.3-R.5, Geoemtry Applications in 2.4 & 2.5
Test Unit III, 3.1 – 3.3
3.4 – 3.6 (cover 3.6 lightly), Integrated Review, 3.7
Test Unit IV, 4.1, 4.2 or Appendices A.1 & A.2(for Quadratic Trinomials
use Grouping or Trial-and- Error methods -NO OTHER METHODS)
4.2. 4.3, Integrated Review
4.4, 4.5, Test UnitV, 5.1
5.2 – 5.4
5.6, 5.5, Integrated Review
5.7(must cover proportions), Test Unit VI, 6.1(stress Rectangular
Coordinate
System), 6.2
6.3, 6.4, Integrated Review, 6.5
6.6, Test Unit VII, Review for Exam |
| Final Exam to be given during scheduled exam period. |
| VIII |
Suggested Weekly Schedule - 10
Week Semester |
| |
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10 |
1.1,R.1, R.2, 1.2 - 1.8
Test Unit I(NO CALCULATORS), 2.1 – 2.4
2.5- 2.7, Test Unit II, R.3, R.4
R.5, 2.4 & 2.5-Geometry Applications, Test Unit III, 3.1, 3.2
3.3-3.7, Test Unit IV, 4.1
4.2 – 4.4
4.5, Test UnitV, 5.1, 5.2
5.3-5.7
Test Unit VI, 6.1-6 3.
6.4, 6.5, Test Unit VII, Final Exam |
| IX |
ADDITIONAL MATERIAL AVAILABLE TO
STUDENTS |
| |
TCC Student ID Required to Use the
Following Resources
1. Complete Solutions Guide, available in the Math Lab
2. Videos available on DVD in LRC, Media Resources |
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