**Course Description**

This course is designed primarily for students who know the fundamentals of
arithmetic, and have

had little or no background in algebra. The course strengthens the student's
arithmetic and informal

geometry skills, provides an introduction to the abstractions of algebra using
fundamental principles

of rational numbers , order of operations, and solving linear equations. Students
may enroll in Math

030 in a lecture section for four units of credit, or individual one-unit
modules 030A, 030B, 030C,

and 030D in the Math and Science Center (MSC). Instruction in the MSC sections
is given on an

independent tutorial, open-entry basis which must be taken sequentially in the
MSC over a

maximum period of 24 months.

4 Unitsl4 Hours of Lecture per week or Individualized
Instruction per Week.

## Rio Hondo College

**I. DisciplinelDepartment:** Mathematics

**Course Number: **Math 030, or 030A, 030B, 030C, 030D

**Course Title:** Pre algebra

**Units:** 4

**Hours:** 4

**Advisory:** Reading 23 and English 30 or ESL 37

**Prerequisite:** Completion of Math 20 or Math 21 with a grade of "C" or
better, or appropriate skill level as determined by participation in the math
placement process.

**Corequisite:**

**II. Need/Justification/Goals**

This course is needed because many students enter Rio
Hondo College with pre-collegiate mathematics skills. This

course is designed to bridge the gap between basic arithmetic skills and
elementary algebra.

**III. Title V Requirements**

**A) Entering Skills**

1. Read a college level text book.

2. Formulate clear sentences to express answers to word problems.

3. Read and write whole numbers and decimals .

4. Round whole numbers and decimal to a given place value .

5. Simplify fractions , write equivalent fractions.

6. Perform basic operations with whole numbers, fractions and decimals.

7. Use the order of operations agreement to evaluate numerical expressions
involving whole numbers,

fractions, and decimals.

8. Convert between fractions, decimals, and percents.

9. Identify prime numbers and factor composite numbers into a product of primes.

10. Solve simple word problems involving whole numbers, fractions decimals,
percents, and proportions.

**B) Exiting Skills**

1. Add, subtract, mUltiply, divide and exponentiate rational numbers.

2. Evaluate numerical expressions using the order of operations agreement.

3. Convert between scientific notation and decimal form.

4. Identify and apply real number properties.

5. Simplify and evaluate algebraic expressions using real number properties.

6. Translate English expressions to arithmetic and simple algebraic expressions
and vice versa.

7. Solve simple algebraic equations including proportions.

8. Find the perimeter and area of simple geometric figures.

9. Find the volume of simple polyhedrons using formulas.

10. Convert measures within the metric and US systems.

11. Read simple graphs and find mean, median and mode of data.

**C) Minimum Required for a "C" :**

The student completes all required work with a point accumulation equivalent to
70% or better of all possible points.

**IV. Course Content**

A. Integers

1. Properties, applications and basic operations on integers

2. Whole number exponents and order of operations on integers

3. Evaluation of algebraic expressions involving integers

B. Rational Numbers, decimals and Real Numbers

1. Meaning and properties of decimals and rational numbers

2. Basic operations on rational numbers, including complex fractions

3. Graphs of inequalities in one variable

4. Perfect square roots , approximation of square roots

5. Introduction to scientific notation

C. Percents

1. Converting percents, decimals, and rational numbers

2. Percent application including sales tax, commission, percent increase or
decrease,

discount and interest

D. Algebraic Expressions and Equations, Polynomials

1. Translation of simple English expressions into algebraic expressions

2. Simplifying algebraic expressions (combine like terms , distribute, multiply
and divide

monomials, monomials with non- negative exponents

3. Solve linear equations in one variable

4. Ratios and proportions

5. Addition and subtraction of polynomials

E. Measurement and the Metric System

1. Length

2. Perimeter of polygons, circumference of a circle

3. Area of triangles, rectangles, squares , parallelograms (trapezoids) and
circles

4. Volume of right rectangular prisms and right cylinders

5. Finding area and volume of other geometric figures by application of
formulas.

6. Converting measures within a system (English and Metric)

7. Converting between systems (pounds to kilogram, inches to centimeters, miles
to

kilometers, gallons to liters)

F. Introduction to the Rectangular Coordinate System

1. Points in the rectangular coordinate system

2. Graphing lines by plotting points

G. Representation of Data

1. Tables, circle graphs, bar graphs

2. Mean, median, mode

**IX. TextslInstructional Materials**

Richard Aufmann, Vernon Barker and Joanne Lockwood:
Prealgebra, 4^{th} edition, Houghton

Mifflin Company, Mass., 2005, ISBN 0-618-37262-8

**Other Instructional Material**

Notebook paper, writing implements, scientific calculator

__V. Course Objectives__

The Student Will Be Able To:

A. Add, subtract, multiply, divide

and exponentiate rational

numbers.

B. Evaluate numerical expressions

using the order of operations

agreement.

C. Convert between scientific

notation and decimal form.

D. Identify and apply real number

properties.

E. Simplify and evaluate algebraic

expressions using real number

properties.

F. Translate English expressions to

arithmetic and simple algebraic

expressions and vice versa.

G. Solve simple algebraic equations

including proportions.

H. Find the perimeter and area of

simple geometric figures

I. Find the volume of simple

polyhedrons using formulas

J. Convert measures within the

metric and US systems.

K. Read simple graphs and find

mean, median and mode of data

**VI. Methods of Instruction**

A. Lecture presentation and classroom

discussion

B. Small-group work

C. Videos available through the MSC

D. Software packages providing

demonstration of the algorithms

necessary to master the algebraic skills

E. Individualized instruction including

one-on-one discussions between

instructor and student

**VII. Assignments**

A. Reading from the class text

and/or supplementary material

B. Exercises from class text

and/or supplementary material

Revised 6/19/03

**VIII. Methods of Evaluation**

A. Assess mastery of course

content through written

examinations covering basic skills

and problem solving techniques

B. Assess attempt and correctness

of mathematical procedure through

written homework and in class

assignments/quizzes covering basic

skills and problem solving

techniques