# Portland Community College

Course Number:
CMET 112
Course Title:
Technical Algebra/Trigonometry
Credit Hours:
4
Lecture Hours:
10
Lecture/Lab Hours:
20
Lab Hours:
60
Special Fee:
\$30.00

#### Course Description

Includes algebra and trigonometry used in CMET 110 and 111, emphasizing simultaneous linear equations, quadratic equations and applied problems. Department approval required. Prerequisites: MTH 60 and placement in WR 115. Audit available.

#### Intended Outcomes for the course

Upon successful completion of this course, the student will have satisfactorily accomplished the goals and objectives listed in this course content guide. The course content guides are developed by college-wide area faculty and are approved by management.
1.0 ARITHMETIC REVIEW
Instructional Goal:
To review the fundamental operations of arithmetic.
Objectives:
1.1.0 Solve integer problems in addition, subtraction, multiplication and division using:
a. a number line
b. conventional notation
1.1.1 Solve addition, subtraction, multiplication and division problems using:
a. common fractions, including reducing to lowest terms
b. decimal fractions
1.1.2 Solve addition, subtraction, multiplication and division problems involving a combination of integers, common fractions and decimal fractions.
1.1.3 Use the principle of order of operations solve problems involving addition, subtraction, multiplication, division and parentheses.
1.1.4 Define and illustrate the use of:
a. factors
b. absolute values
c. reciprocals
2.0 ELEMENTARY ALGEBRA REVIEW
Instructional Goal:
To review elementary algebra.
Objectives:
2.1.0 As they relate to algebra define and illustrate the use of:
a. Coefficients
b. variables
c. Grouping symbols
d. the distributive property
2.1.1 Evaluate formulas by correctly substituting appropriate values and performing the indicated operations.
2.1.2 Transform and solve linear equations of the form Ax + B = 0.
Instructional Goal:
To learn the principles of algebra and their technical applications.
Objectives:
3.1.0 Solve linear equations in more than one unknown by the following methods:
a. graphically
b. substitution
c. determinants
3.1.1 Add, subtract, multiply and divide:
a. monomials
b. polynomials
3.1.2 Identify and factor polynomials which are:
a. the perfect square of a binomial
b. the product of binomials of the form (Ax + By) and (Ax - By)
c. factorable by completing the square
d. the cube of a binomial
3.1.3 Solve equations requiring the addition, subtraction, multiplication and division of fractions containing one or more terms with one or more variables.
3.1.4 Perform the following operations on terms with exponential notations:
a. express exponential terms as radicals