Competency Review Form
High School District:
Instructional Area:
Instructor Name:
School Year:
High School Courses
List information for your course(s) that align with the WITC course listed below. Determine the level of skill development demonstrated in your
course(s) for each WITC competency and enter the appropriate number from the rating scale in the corresponding course column (A, B, C, D).
Course
Number
Course
Title
Weekly
Class Hours
Class Length (check one)
Quarter
Semester
Year
Textbook/Software Used
Title and Version
A
B
C
D
WITC Course Information
Course Title: College Technical Mathematics 1A
Course Number: 10804113
Credits: 3
Classroom Hours: 48
Lab Hours:
Clinical Hours:
Course Description: Topics include: solving linear, quadratic, and rational equations; graphing;
formula rearrangement; solving systems of equations; percent; proportions; and operations on
polynomials. Emphasis will be on the application of skills to technical problems. Successful
completion of College Technical Mathematics 1A and College Technical Mathematics 1B is the
equivalent of College Technical Mathematics 1.
Exit Level Competencies and Learning Objectives
1 Perform basic operations with real numbers
a. Use correct order of arithmetic operations.
b. Simplify expressions involving exponents and radicals.
c. Convert numbers between decimal notation and power of ten notation.
d. Perform arithmetic using power of ten notation.
e. Apply skills to related technical problems.
Rating Scale (for courses you listed above)
4 – Skilled. Completely understands concepts/
demonstrates very high skill level.
3 – Moderate Skill. Basic understanding of
concepts/demonstrates average to aboveaverage skill level.
2 – Limited Skill. Limited understanding of
concepts/demonstrates below-average skill
level.
1 – No Exposure.
Course A
Course B
Course C Course D
Exit Level Competencies and Learning Objectives
2 Solve linear equations
a. Solve linear equations in one variable
b. Rearrange a formula to solve for any indicated first-degree variable.
c. Assign a variable to an unknown quantity in an English phrase and translate that
phrase into an equation.
d. Substitute numbers for variables in equations and formulas.
e. Apply mathematics skills to related technical problems.
3 Solve problems using percent and proportion
a. Perform conversions among fractions, decimals, and percent.
b. Write an equation representing the problem.
c. Utilize appropriate technology.
d. Apply mathematics skills to related technical problems.
4 Solve variation problems
a. Identify the type of variation that fits a verbal problem
b. Write an equation for a variation.
c. Solve direct variation problems.
d. Solve inverse variation problems.
e. Solve joint variation problems.
f. Apply mathematics skills to related technical problems.
5 Perform operations polynomials
a. Combine like terms within a polynomial.
b. Simplify expressions involving the addition, subtraction, multiplication, and division of
monomials and polynomials.
c. Find powers and roots of monomials and polynomials.
d. Utilize appropriate technology.
6 Factor algebraic expressions.
a. Identify factors of a monomial.
b. Factor a polynomial by greatest common factor.
c. Factor a polynomial by reverse multiplication.
d. Factor a polynomial by grouping.
e. Utilize appropriate technology.
f. Apply mathematics skills to related technical problems.
7 Solve quadratic equations over the set of real numbers.
a. Identify coefficients of a quadratic equation in standard form.
b. Select appropriate method for solving second-degree equations.
c. Generate the equation which satisfies the condition of the problem.
d. Solve second-degree equations using the selected method.
e. Select relevant solutions.
f. Apply mathematics skills to related technical problems.
Course A
Course B
Course C Course D
Exit Level Competencies and Learning Objectives
8 Perform operations with rational expressions.
a. Perform the operations of addition, subtraction, multiplication, and division with
rational expressions.
b. Factor fractional expressions containing more than one variable.
c. Simplify complex fractions.
d. Utilize appropriate technology.
e. Apply mathematics skills to related technical problems.
9 Solve rational equations
a. Use multiplication to clear denominators of algebraic fractions.
b. Solve algebraic fractional equations.
c. Identify extraneous solutions.
d. Utilize appropriate technology.
e. Apply mathematics skills to related technical problems.
10 Graph algebraic functions
a. Identify range and domain of a given function.
b. Graph linear and second-degree functions on a Cartesian coordinate plane.
c. Determine ordered pairs from a given graph.
d. Differentiate a function from a relation.
e. Utilize function notation.
f. Utilize appropriate technology.
g. Apply mathematics skills to related technical problems.
11 Relate the equation of a line to its graph
a. Calculate the distance between two points.
b. Calculate the slope of a line parallel to a given line.
c. Determine the slope of a line parallel to a given line.
d. Determine the slope of a line perpendicular to a given line.
e. Write the equation of a line using the slope-intercept form, point-slope form, or the
two-point form.
f. Utilize appropriate technology.
g. Apply mathematics skills to related technical problems.
12 Solve systems of equations
a. Solve systems of two and three variable equations.
b. Check all solutions in the system.
c. Utilize appropriate technology.
d. Apply mathematics skills to related technical problems.
articula/highschl/rating/10804113/dec2013
Course A
Course B
Course C Course D