Standard

rev.11/25/03 

MAT 101 - General Mathematics

Course Description

Emphasizes mathematical skills that can be applied to the solution of occupational and technical problems. Topics include: properties of numbers, fractions, decimals, percents, ratio and proportion, measurement and conversion, exponents and radicals, and geometric and technical formulas. Class includes lectures, applications, and homework to reinforce learning.

 

Competency Areas

Hours

Properties of Numbers

Class

5

Fractions

D. Lab

0

Decimals

P. Lab/O.B.I.

0

Percents

Credit

5

Ratio and Proportion

 

 

Measurement and Conversion

 

 

Exponents and Radicals

 

 

Geometric and Technical Formulas

 

 

 

Prerequisite:

MAT 097, or entrance arithmetic score in accordance with approved DTAE admission score levels.

Corequisite:

 

 

Course Guide

 

Competency

After completing this section, the student will:

Hours

Class

D.Lab

P.Lab/

O.B.I.

PROPERTIES OF NUMBERS       

5

0

0

Whole Numbers

Identify prime and composite numbers.

 

 

 

 

Solve whole number problems using mathematical operations of addition, subtraction, multiplication, divisions and powers.

 

 

 

FRACTIONS

10

0

0

Definitions of fractions

Define a fraction.

 

 

 

 

Identify proper, improper, and mixed fractions.

 

 

 

Equivalent fractions

Solve problems relating to equivalent fractions.

 

 

 

Mathematical operations using fractions

Solve problems requiring multiplication, division, addition and subtraction of fractions.

 

 

 

DECIMALS

5

0

0

Definition of decimals and place value

Perform mathematical operations using decimals.

 

 

 

Basic operations of mathematics with decimals

Solve problems using decimals, scientific notation, and powers of ten.

 

 

 

 

Conversion of decimal to fraction and fraction to decimal.

 

 

 

 

Powers of ten.

 

 

 

PERCENTS

5

0

0

Definition of percents

Work problems using percents dealing with mixtures and interests.

 

 

 

 

Conversion between fractions and decimals.

 

 

 

 

Base-rate-part problems.

 

 

 

 

Mixture and interest.

 

 

 

RATIO AND PROPORTIONS

5

0

0

Definition of rate, ratio and proportions

Construct and solve problems involving ratios and proportions.

 

 

 

Variation: direct and inverse

Identify, set up, and solve proportion problems.

 

 

 

MEASUREMENT AND CONVERSION

5

0

0

Measurement and Conversion

Solve problems and applications in measurement and conversion.

 

 

 

Definition of basic units of measurement

Use dimensioning.

 

 

 

 

Use dimensioning.

 

 

 

EXPONENTS AND RADICALS

5

0

0

Laws of Exponents

Apply laws of exponents to simplify complex exponent expressions.

 

 

 

Radicals

Find roots and numbers.

 

 

 

GEOMETRIC AND TECHNICAL FORMULAS

5

0

0

Types of formulas

Identify basic two and three dimensional figures.

 

 

 

 

Find the areas of rectangular and circular figures.

 

 

 

 

Solve for volumes of cubes, rectangular solids, and right circular cylinders.

 

 

 

 

Identify, measure, and solve problems using angles.

 

 

 

 

Evaluate technical formulas.

 

 

 

 

Suggested Resources

 

Books

 

Aufmann, R.N. & Barker, V.C. (latest edition) Basic College Mathematics, Boston: Houghton Mifflin  

http://www.hmco.com/

 

Barker, J., et al. (latest edition) Arithmetic (4th edition or later) Philadelphia: Saunders College

http://www.saunderscollege.com/

 

Carman, R.A., & Saunders, H.M. (latest edition) Mathematics for the Trades: A guided approach. Englewood Cliffs, NJ: Prentice Hall

http://www.prenhall.com/

 

Keedy, M.L., & Bittinger, M.L. (latest edition) Basic Mathematics (5th edition or latest) Readomg, MA: Addison-Wesley 

http://www2.awl.com/corp/

 

National Center for Construction Education and Research (latest edition). NCCER: Core Curricula: Basic Construction Skills. Englewood Cliffs, NJ: Prentice Hall.

http://www.prenhall.com/

 

Streeter, J., & Alexander, G. (latest edition) Basic Mathematical Skills (2nd ed. or latest), New York: McGraw-Hill 

http://www.bookstore.mcgraw-hill.com/

 

Wise, A. (latest edition). Basic Mathematics: Skills, allocations, and problem solving, (2nd ed. or latest) San Diego: Harcourt Brace Jovanovich 

http://www.hbcollege.com/

 

Yamato, Y., & Cordon, M.J. (latest edition). Mastering Mathematical Concepts. San Diego: Harcourt Brace Jovanovich 

http://www.hbcollege.com/