Standard

 

R State Standard Institutionally Developed College: N/A

 

MAT 1012 Foundations of Mathematics

 

Course Description

Emphasizes the application of basic mathematical skills used in the solution of occupational and technical problems. Topics include: fractions, decimals, percents, ratios and proportions, measurement and conversion, formula manipulation, technical applications, and basic statistics.


 

Competency Areas

Hours

Fractions

Class

5

Decimals

D. Lab

0

Percents

P. Lab/O.B.I.

0

Ratios and Proportions

Credit

5

Measurement and Conversion

 

 

Formula Manipulation

 

 

Technical Applications

 

 

Basic Statistics

 

 

 

 

Prerequisite:

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

Corequisite:

 

 

 

Course Guide

 

Competency

After completing this section, the student will be able to:

Hours

 

 

Class

D.Lab

P.Lab/

O.B.I.

 

 

Fractions

6

0

0

 

 

 

Simplify fractions.

 

 

 

 

 

 

Multiply and divide fractions.

 

 

 

 

 

 

Add and subtract fractions.

 

 

 

 

 

 

Add, subtract, multiply, and divide mixed numbers.

 

 

 

 

 

 

Solve application problems with fractions.

 

 

 

 

 

 

Hierarchy of operations.

 

 

 

 

 

Decimals

5

0

0

 

 

 

Read and write decimal word names.

 

 

 

 

 

 

Identify place value.

 

 

 

 

 

 

Round decimal notation.

 

 

 

 

 

 

Add and subtract decimal notation.

 

 

 

 

 

 

Multiply decimal notation.

 

 

 

 

 

 

Divide decimal notation

 

 

 

 

 

 

Convert from fraction notation to decimal notation

 

 

 

 

 

 

Estimate with decimal notation.

 

 

 

 

 

 

Solve application problems with decimal notation.

 

 

 

 

 

 

Hierarchy of operations.

 

 

 

 

 

Percents

6

0

0

 

 

 

Convert between percent and decimal notation.

 

 

 

 

 

 

Convert between percent and fraction notation.

 

 

 

 

 

 

Solve percent problems using percent equations.

 

 

 

 

 

 

Solve percent problems using proportions.

 

 

 

 

 

 

Solve application problems involving percents.

 

 

 

 

 

Ratios and Proportions

5

0

0

 

 

 

Define ratios and rates.

 

 

 

 

 

 

Simplify ratios in fraction form.

 

 

 

 

 

 

Find unit rates.

 

 

 

 

 

 

Define a proportion using cross products.

 

 

 

 

 

 

Solve application problems involving proportions.

 

 

 

 

 

Measurement and Conversion

5

0

0

 

 

 

Convert linear measures involving American and metric units from one unit of measure to another.

 

 

 

 

 

 

Convert weight and mass units from one unit of measure to another.

 

 

 

 

 

 

Convert capacity from one unit of measure to another.

 

 

 

 

 

 

Solve application problems involving measurement and conversion.

 

 

 

 

 

Formula Manipulation

8

0

0

 

 

 

Solve basic formulas for a specified variable.

 

 

 

 

 

 

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.

 

 

 

 

 

Technical Applications

10

0

0

 

 

 

Apply mathematical concepts of varied occupational applications.

 

 

 

 

 

Basic Statistics

5

0

0

 

 

 

Solve applications involving circle, bar, and line graphs.

 

 

 

 

 

 

Solve applications involving frequency, distributions, and histograms.

 

 

 

 

 

 

Find the mean, weighted mean, median, and mode for a set of data.

 

 

 

 

 

Suggested Resources

 

Media
(text/audio/
visual/www/
other)

Author

Title: Subtitle

Edition

Place of Publication

Year

Publisher/Publication

pp.

Text

Akst, G. and Bragg, S.

Basic Mathematics through Applications.

3rd Ed.

Boston

(2005).

Pearson Education, Inc.

 

Text

Lial, M., Salzman, S., and Hestwood, D

Basic College Mathematics,

7th Ed.

Boston

(2006).

Pearson Addison Wesley Longman.