# SYLLABUS FOR FUNDAMENTALS OF MATHEMATICS II

**I. INTRODUCTION**

Fundamental of Mathematics II is designed to provide instruction and practice in

performing fundamental algebraic operations involving real numbers, linear
equations

and inequalities, rational expressions , polynomials, and factoring. This course
will assist

the student in developing the critical-thinking and problem-solving skills
necessary for

other developmental or college-level courses.

This course is required for students who have not achieved a passing score on
the THEA,

Asset, or Placement Test. Successful completion of this course fulfills the
prerequisite

for the next higher developmental or college-level mathematics course. The
prerequisite

for this course is DSMA 0300, DSMA 0312 or an appropriate placement test score.

**II. LEARNING OUTCOMES**

Upon successful completion of this course, Fundamentals of Mathematics II, the
student

will be able to:

A. Use the available electronic instructional media, such as computer software
and

VCRs, to reinforce and supplement classroom instruction. (F1, F2, F3, F4, F6)

B. Perform basic operations on algebraic fractions and transfer this knowledge
to the

solution of application problems. (F1, F3, F4, F5, F8, F9, F10, F12)

C. Use the correct order of operations to add, subtract, multiply, and divide
real

numbers. (F1, F3, F4, F5, F8, F9, F10, F12)

D. Solve linear equations and inequalities with one variable . (F1, F3, F4, F5,
F8, F9,

F10, F12)

E. Add, subtract, multiply, and divide polynomials. (F1, F3, F4, F5, F8, F9,
F10,

F12)

F. Find the factors of polynomials and use factoring to solve quadratic
equations.

(F1, F3, F4, F5, F8, F9, F10, F12)

G. Add, subtract, multiply, and divide rational expressions and solve rational

equations. (F1, F3, F4, F5, F8, F9, F10, F12)

H. Demonstrate critical-thinking and problem-solving skills applicable to the

material of this course. (F7, F8, F9, F10, F11, F12)

**VIII. COURSE OUTLINE**

A. Unit One: (Chapter One) **Review of Real Numbers
**

1. Unit Objectives: Upon successful completion of this unit the student will

be able to do the following:

a. Use a number line to order numbers

b. Translate sentences into mathematical statements

c. Identify natural numbers, whole numbers, integers, rational

numbers, irrational numbers, and real numbers

d. Find the absolute value of a real number

e. Write fractions in simplest form

f. Multiply, divide, add, and subtract fractions

g. Define and use exponents and the order of operations

h. Evaluate algebraic expressions, given replacement values for

variables

i. Determine whether a number is a solution of a given equation

j. Translate phrases into expressions and sentences into equations

k. Add real numbers with the same sign

l. Add real numbers with unlike signs

m. Solve problems that involve addition of real numbers

n. Find the opposite of a number

o. Subtract real numbers

p. Add and subtract real numbers

q. Evaluate algebraic expressions using real numbers

r. Solve problems that involve subtraction of real numbers

s. Multiply and divide real numbers

t. Evaluate algebraic expressions using real numbers

u. Using the commutative and associative properties

v. Use the distributive property

w. Use the identity and inverse properties

x. Read bar graphs

y. Read line graphs

2. Learning Activities:

a. Classroom lecture/discussion (F5, F6, F7, F8)

b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11,

F12)

c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11,

F12)

3. Unit Outline:

a. Section 1.2 Symbols and sets of Numbers

b. Section 1.3 Fractions

c. Section 1.4 Introduction to Variable Expressions and Equations

d. Section 1.5 Adding Real Numbers

e. Section 1.6 Subtracting Real Numbers

f. Section 1.7 Multiplying and Dividing Real Numbers

g. Section 1.8 Properties of Real Numbers

h. Section 1.9 Reading Graphs

B. Unit Two : (Chapter Two) **Equations Inequalities and
Problem Solving
**

1. Unit Objectives: Upon successful completion of this unit the student will

be able to do the following:

a. Identify terms , like terms, and unlike terms

b. Combine like terms

c. Use the distributive property to remove parentheses

e. Write word phrases as algebraic expressions

f. Define linear equation in one variable and equivalent equations

g. Use the addition property of equality to solve linear equations

h. Write word phrases as algebraic equations

i. Use the multiplication property of equality to solve linear

equations

j. Use both the addition and multiplication properties of equality to

solve linear equations

k. Write word phrases as algebraic expressions

l. Apply the general strategy for solving a linear equation

m. Solve equations containing fractions or decimals

n. Recognize identities and equations with no solution

o. Write sentences as equations and solve

p. Apply the steps for problem solving

q. Use formulas to solve problems

r. Solve a formula or equation for one of its variables

s. Solve problems involving percents, distance, mixtures, and interest

t. Define linear inequality in one variable

u. Graph solution sets on a number line and use interval notation

v. Solve linear inequalities

w. Solve compound inequalities

x. Solve inequality applications

2. Learning Activities:

a. Classroom lecture/discussion (F5, F6, F7, F8)

b. Reading/homework assignments (F1, F2, F7, F8, F9, F10, F11,

F12)

c. Computer Laboratory/Computer Tutor (F2, F7, F8, F9, F10, F11,

F12)

3. Unit Outline:

a. Section 2.1 Simplifying Algebraic Expressions

b. Section 2.2 The Addition Property of Equality

c. Section 2.3 The Multiplication Property of Equality

d. Section 2.4 Solving Linear Equations

e. Section 2.5 An Introduction to Problem Solving

f. Section 2.6 Formulas and Problem Solving

g. Section 2.7 Further Problem Solving

h. Section 2.8 Solving Linear Inequalities

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