  
Description  
 Includes linear equations inequalities in one variable, graphs of linear and quadratic functions, solving linear systems, integer exponents, operations on polynomials, factoring, and proportional reasoning.


Course Objectives  
 The student will be able to:
 Solve advanced linear equations and inequalities in one variable, and write the solution set using proper mathematical notation.
 Graph linear equations in twovariables.
 Interpret the meaning of the slope and intercepts, in context.
 Find the equation of a linear function given data in a table, graph, or words.
 Solve systems of equations graphically or symbolically, and interpret the solution(s) in context.
 Define a polynomial and perform the operations of addition, subtraction, multiplication, division and factoring of polynomials.
 Apply the laws of exponents to algebraic expressions.
 Demonstrate proportional reasoning.
 Use technology such as calculators to assist in solving problems involving any of the topics in (A) through (H) above.

Special Facilities and/or Equipment  
 Computers with internet access.

Course Content (Body of knowledge)  
  Linear, Quadratic Relationships in 1 and 2 Variables
 solve linear equations with rational coefficients for a specified variable.
 solve literal equations (formulas) for a specified variable.
 solve linear inequalities symbolically or graphically.
 graph solution set to an inequality on a number line and write solution set in interval notation.
 represent linear functions using equations, tables, and graphs.
 interpret the meaning of intercepts and slopes from a problem situation, a table, a graph.
 describe magnitude and direction of slope.
 identify slopes and yintercepts from equations.
 write an equation of a line.
 solve linear systems algebraically and graphically.
 write and graph a system of linear equalities.
 interpret the solution of a linear system in the context of a problem situation
 graph quadratic equations.
 solve quadratic equations algebraically, by factoring.
 Proportional Reasoning
 write and solve proportions
 use rates to convert units
 compare rates
 write ratios as fractions
 use similar figures to write and solve a proportion
 work with scale drawings
 Exponents, Roots, and Polynomials
 multiply and divide powers
 evaluate powers with positive, negative, and zero exponents.
 write numbers in scientific notation.
 use properties of exponents
 find square roots.
 find the distance between two points in the coordinate plane.
 find the midpoint between two points in the coordinate plane.
 use the Pythagorean Theorem to find the side length of a right triangle.
 use the converse of the Pythagorean Theorem to determine whether a triangle is a right triangle.
 Add, subtract, multiply and divide polynomials
 Factor polynomials
 Use technology such as calculators to assist in solving problems involving any of the topics in (A) through (C) above.
 Use a calculator to evaluate fraction operations
 Use a calculator to evaluate exponents
 Use a calculator to evaluate square roots
 Use a calculator to evaluate expressions containing real numbers

Methods of Evaluation  
  Homework.
 Quizzes.
 Hour Exams.
 Comprehensive Final Exam
 Class Participation

Representative Text(s)  
 Bittinger, Marvin Elementary and Intermediate Algebra+MyMathLab Package.Boston:Pearson Custom Publishing, 2012.

Disciplines  
 Mathematics


Method of Instruction  
  Lecture presentations and class activities that support the understanding of the objectives.


Lab Content  
  Assessments and practice using online software covering linear equations inequalities in one variable, graphs of linear and quadratic functions, solving linear systems, integer exponents, operations on polynomials, factoring, and proportional reasoning.
 Written worksheets developing skill accuracy covering linear equations inequalities in one variable, graphs of linear and quadratic functions, solving linear systems, integer exponents, operations on polynomials, factoring, and proportional reasoning.
 Projects applying concepts from lecture to real world situations.


Types and/or Examples of Required Reading, Writing and Outside of Class Assignments  
  Homework Problems: Homework problems covering subject matter from text and related material ranging from 50  100 problems per week. Students will need to employ critical thinking in order to complete assignments.
 Lecture: Seven hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
 Projects: Student projects covering subject matter from textbook and related materials. Projects will require students to discuss mathematical problems,write solutions in accurate mathematical language and notation and interpret mathematical solutions. Projects may require the use of a computer algebra system such as MyMathLab and/or calculator.
 Worksheets: Problems and activities covering the subject matter. Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class.
