Intermediate Algebra 1 | Madison College Outline of Instruction

20804202 Intermediate Algebra 1

Course Information

Description

Understand the structure of the real numbers (their construction, operations and properties); solve first degree (linear) equations and inequalities in one variable; graph first degree equations and inequalities in two variables; be introduced to the concept of the function and the use of functional notation; solve systems of equations in a two-dimensional Cartesian plane; perform algebraic operations on polynomials; factor algebraic expressions; solve polynomial equations by factoring and solve applications problems that relate to all of the above.

Total Credits

Course Competencies (Course Outcomes)

Use the real number system

Assessment Strategies

by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria

you identify the different sets of real numbers

you graph real numbers on the number line

you add, subtract, multiply and divide rational numbers

you manipulate expressions using the correct order of operations

you simplify expressions with exponents and radicals

you recognize and use the commutative, associative, and distributive laws and the additive and multiplicative identities and inverses on algebraic expressions

you definesthe absolute value of a real number

you translatesphrases and sentences into algebraic form
Solve linear equations and linear inequalities

Assessment Strategies

by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria

you solve equation in one variable

you solve formulas for a specific variable

you generate equations from specific equation

you solve applications using formulas and linear equations

you solve simple linear inequalities in one variable
Demonstrate graphing skills on a Cartesian coordinate plane

Assessment Strategies

by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria

you plot ordered pairs, reads coordinates, identifies x- and y- intercepts

you calculate the slope between two points

you identify the slope of a line on the x-y plane

you use slope to determine if two lines are parallel, perpendicular, or neither

you graph a line give its slope and a point on the line or two points on the line or give a slope and the y-intercept

you write the equation of a line in standard or in point-slope form

you graph any linear equation

you determine if a rational equation is a function
Solve systems of equations that involve 2 equations in two unknowns

Assessment Strategies

by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria

you solve a system of linear equations by graphing, elimination, and substitution

you classif systems as being either consistent, inconsistent, dependent or independent

you translate applications problems into appropriate methods

you solve applications problems by using appropriate methods
Perform operations on exponents and polynomials

Assessment Strategies

by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria

you apply power, product, and quotient rules to integer exponents

you perform operations in scientific notation

you add and subtract polynomials

you multiply polynomials

you use special product rules

you divide polynomials

you divide using synthetic division
Factor polynomials

Assessment Strategies

by a satisfactory score on all tests, quizzes, or graded assignments incorporating this competency

Criteria

you factor out the greatest common factors

you factor trinomials

you factor out the difference of two squares, of two cubes, and the sum of two cubes

you factor by grouping

you factor by substitution

you use the zero factor property to solve polynomial equations

you solve application problems involving the use of the zero factor property