Chabot College Fall 2011Course Outline for Mathematics 65AELEMENTARY ALGEBRA ACatalog Description:65A – Elementary Algebra A 3 unitsConcepts covered in the first half of Mathematics 65, including signed numbers, linear equations and inequalities; introduction to graphs; set theory. Designed for those with no previous algebra background. Prerequisite: Mathematics 104 (completed with a grade of “C” or higher) or an appropriate skill level demonstrated through the Mathematics Assessment process. May not receive credit if Mathematics 65 or65L has been completed. 3 hours lecture, 0-1 hour laboratory.[Typical contact hours: lecture 52.5, laboratory 0 - 17.5]Prerequisite Skills:Upon completion of the course the students should be able to:1. apply the commutative, associative and distributive laws;2. perform computations with signed numbers without a calculator;3. apply order of operations in evaluating algebraic expressions;4. simplify exponential expressions with whole number exponents;5. create, interpret, and solve simple linear equations;6. find area, circumference, diameter and radius of a circle;7. solve a right triangle using Pythagorean Theorem;8. simplify square roots of perfect squares;9. solve problems using percents; 10. find the areas, perimeters, and volumes of geometric figures and objects; 11. translate between words and the mathematical symbols for variables and operations;12. interpret operations and variables in algebraic expressions; 13. graph simple relationships between two variables;14. solve word problems, including those using formulas and linear equations.Expected Outcome for Students:Upon completion of 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. apply algebraic methods to solve word problems;7. solve formulas for any given variable;8. find the slope of a line from the graph and from the definition;9. find the slope of a line from the slope-intercept equation of the line;10. find the equation of the line using the point-slope equation;11. solve a system of equations in two variables.Course Content:1. Set theory notation2. Real number systema. Properties of addition and multiplicationb. Absolute valuec. Order of operationsd. Graphing on the number line3. Algebraic expressions4. Linear equationsa. SolvingChabot CollegeCourse Outline for Mathematics 65A, page 2Fall 2011b. Applicationsc. Formulas5. Linear inequalities on one variablea. Solvingb. Graphing on the number linec. Applications6. Finding linear equations given the graph of the line of information about the line7. Finding slope from the slope-intercept equation8. Graphing linear equations in two variablesa. Plotting pointsb. Plotting interceptsc. The slope-intercept method9. Finding slopea. From the graphb. From two points10. Introduction to systems of linear equationsa. Graphing methodb. Elimination methodc. Substitution methodd. ApplicationsMethods of Presentation:1. Informal lectures2. Class discussion of problems, solutions and student’s questions3. Audio-visual materialsAssignments and Methods of Evaluating Student Progress:1. Typical Assignmentsa. Exercises from the textbook The balance in Wills’ Mastercard® account grew 2% to $870 in one month. What was hisbalance at the beginning of the month?b. CollaborativesWork together to solve four application problems2. Methods of Evaluating Student Progressa. Homeworkb. Quizzesc. Class participationd. Midtermse. Final examTextbook(s)(Typical):Elementary Algebra Concepts and Applications, Bittenger and Ellenbogen, 7th ed., Addison Wesley, 2006Special Student Materials:NoneDH:alRevised: