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, 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 
Author 
Title:
Subtitle 
Edition 
Place
of Publication 
Year 
Publisher/Publication 
pp. 
Text 
Akst, G. and Bragg, S. 
Basic Mathematics
through Applications. 
3^{rd} Ed. 
Boston 
(2005). 
Pearson Education, Inc. 

Text 
Lial, M., Salzman, S., and Hestwood, D 
Basic College
Mathematics, 
7^{th}
Ed. 
Boston 
(2006). 
Pearson Addison
Wesley Longman. 
