Course Outline for Mathematics 65BELEMENTARY ALGEBRA BCatalog Description:Chabot College Fall 2003Replaced Fall 2006Course Outline for Mathematics 65BELEMENTARY ALGEBRA BCatalog Description:65B – Elementary Algebra B 3 unitsConcepts covered in the second half of Mathematics 65, including factoring, rational expressions and complex fractions; system of linear equations; quadratic and rational equations; graphing. Prerequisites: Mathematics 65A (completed with a grade C or higher). May not receive credit if Mathematics 65 or 65L has been completed. 3 hours lecture, 0-1 hour laboratory.Prerequisite Skills:Before entering the course the student should be able to:1. write using set theory notation;2. apply order of operations to simplify algebraic expressions;3. solve linear equations in one variable;4. solve and graph linear inequalities in one variable;5. graph linear equations in two variables by various methods;6. add, subtract, multiply, and divide polynomials;7. apply the formula for squaring the binomial;8. apply algebraic methods to solve word problems;9. solve formulas for any given variable;10. apply the properties of integral exponents;11. convert between scientific notation and standard notation;12. find the slope of a line from the graph and from the definition.Expected Outcome for Students: Upon completion of the course, the student should be able to:1. factor special products, general trinomials, and four terms;2. add, subtract, multiply, divide and simplify rational expressions;3. solve rational equations;4. apply algebraic methods to solve word problems;5. solve quadratic equations by factoring;6. find the slope of a line from the slope-intercept equation of the line;7. find the equation of the line using the point-slope equation;8. solve quadratic equations by factoring, using the principle of square roots and using the quadraticformulaCourse Content:1. Factoringa. Removing common factorsb. Trinomialsc. Difference of two squaresd. Grouping2. Rational expressionsa. Simplifyingb. Operationsc. Complex fractions3. Solving rational equations4. Introduction to systems of linear equationsa. Graphing methodb. Elimination methodChabot CollegeCourse Outline for Mathematics 65B, Page 2Fall 2003c. Substitution methodd. Applications5. Graphing linear equations in two variablesa. Review plotting pointsb. Review plotting interceptsc. The slope-intercept method6. Finding linear equations given the graph of the line of information about the line7. Finding slope from the slope-intercept equation8. Quadratic equationsa. Solving by factoring b. Solving by principle of square rootsc. Solving by using the quadratic formulaMethods of Presentation:1. Informal lectures 2. Classroom discussion of problems, solutions and student’s questions3. Audio-visual materialsAssignments and Methods of Evaluating Student Progress:1. Typical Assignmentsa. Exercises from the text book The length of a rectangular garden is 4m greater than the width. The area of the garden is 96m2. Find the length and width.b. CollaborativesCollect (linear) data from an experiment, plot the data, and find an equation to model the data.2. Methods of Evaluation Student Progressa. Homeworkb. Quizzesc. Class participationd. Midtermsd. Final examinationTextbook(s) (Typical):Elementary Algebra Concepts and Applications, Bittenger and Ellenbogen, Addison Wesley, 2002Special Student Materials:Scientific