Description
Studies the construction and resulting properties of the real number system.
Students simplify
and factor algebraic ex pressions using fundamental laws and order of operations ,
solve first and
second degree equations and inequalities in one variable , solve exponential and
logarithmic
equations, graph first degree and second degree equations and inequalities in
two variables ,
solve 2x2 and 3x3 quadratic -formula/math-systemssubstitution.html">systems of equations , simplify and solve equations involving
rational
expressions and simplify and solve equations involving fractional exponents and
radicals .
Students are introduced to linear, quadratic, square root, absolute value,
exponential and
logarithmic functions. The basic definitions of functions, relations, one-to-one
functions and
inverses are discussed along with the algebra and composition of functions.
Functions are
studied in greater detail in College Algebra. Meets five hours per week.
Successful completion of
this course allows students to continue on with either College Algebra or
Quantitative Reasoning.
CrLf
Textbooks
---. Current textbook on file in the Arts and Science office.
Learner Supplies
Textbook and scientific or graphing calculator. Manufacturer: ---.
Prerequisites
High School Algebra and Geometry. Appropriate placement score. Students who have
not taken
algebra for several years, or who did not get Bs or better in Algebra Concepts
should take two
semesters of the Intermediate Algebra 1 and Intermediate Algebra 2.
Exit Learning Outcomes
Core Abilities
A. Critical thinking
B. Mathematics
Competencies
A.
Demonstrate knowledge of the real number system
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
A.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
A.1. you identify the different sets of real numbers
A.2. you use set builder notation
A.3. you distinguish finite/infinite sets
A.4. you identify subsets
A.5. you graph real numbers on the number line
A.6. you add real numbers
A.7. you subtract real numbers
A.8. you multiply real numbers
A.9. you manipulate expressions using the correct order of operations
A.10. you simplify expressions with exponents and radicals
A.11. you demonstrate correct use of the commutative, on algebraic expressions
A.12. you demonstrate correct use of the associative algebraic expressions
A.13. you demonstrate correct use of the distributive laws on algebraic
expressions
A.14. you demonstrate correct use of the additive identities on algebraic
expressions
A.15. you demonstrate correct inverses on algebraic expressions
A.16. you define and graph the absolute value of a real number
A.17. you translate phrases into algebraic form
A.18. you translate sentences into algebraic form
A.19. you divide real numbers
B.
Solve linear equations and linear inequalities
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
B.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
B.1. you solve equations in one variable
B.2. you solve formulas for a specific variable
B.3. you generate equations from given information
B.4. you solve applications using formulas and linear equations
B.5. you solve simple and compound inequalities in one variable
B.6. you translate absolute value inequalities into their corresponding compound
inequalities and then solves
B.7. you solve translated compound inequalities
B.8. you solve applications using single inequalities
B.9. you solve applications using compound inequalities
C.
Demonstrate graphing skills on the Cartesian coordinate plane
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
C.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
C.1. you plot ordered pairs
C.2. you read coordinates
C.3. you identify x- and y- intercepts
C.4. you calculate the distance, midpoint, and slope between two points
C.5. you identify the slope of a line on the x-y plane
C.6. you use slope to determine if two lines are parallel, perpendicular, or
neither
C.7. you graph a line given its slope and a point on the line or 2 points on the
line or
given a slope and the y-intercept
C.8. you graph a line given 2 points on the line or given a slope and the
y-intercept
C.9. you graph a line a slope and the y-intercept
C.10. you write the equation of a line in standard or point-slope form
D.
Analyze linear equations and inequalities
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
D.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
D.1. you graph any linear equation
D.2. you generate the equation of a line given varying conditions
D.3. you solve applications problems involving rates of change
D.4. you graph linear inequalities
D.5. you determine intersections or unions of linear inequalities
D.6. you solve application problems using linear inequalities
E.
Demonstrate knowledge of functions and relations
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
E.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
E.1. you distinguish between relations or functions
E.2. you generate graphs of linear functions
E.3. you identify domains and ranges of a relation or function
E.4. you interpret function notation correctly
E.5. you use function notation correctly
E.6. you solve applications involving functions
F.
Solve 2x2 and 3x3 systems of equations and inequalities
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
F.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
F.1. you solve systems of two linear equations by graphing methods
F.2. you solve systems of two linear equations by elimination methods
F.3. you solve systems of two linear equations by substitution methods
F.4. you solve systems of two linear equations by determinants methods
F.5. you solve systems of two linear equations by matrix methods
F.6. you classify systems as consistent, inconsistent, or dependent
F.7. you solve systems of three linear equations using elimination methods
F.8. you solve systems of three linear equations using matrix methods
F.9. you translate application problems into appropriate system of equations
F.10. you solve application problems with systems of equations
F.11. you solve systems of 2x2 systems of linear inequalities
