ChARTer~TECH High School for the Performing Arts



chARTer~TECH High School for the Performing Arts2012-2013 Course SyllabusDepartment:Mathematics Course:Algebra II Instructor/s:Mrs. Krieger-Wilcutt - MKrieger-Wilcutt@ Ms. Widen - HYPERLINK "mailto:MWiden@" MWiden@ Course Description:Algebra II provides a review and extension of the concepts taught in Algebra 1. Topics covered will include equations and inequalities, linear equations, systems of linear equations and inequalities, polynomial and quadratic functions, systems of equations and inequalities, conic sections, and exponential and logarithmic functions. Students will explore various representations of functions and graphing calculator skills will be taught and used extensively in this course. Throughout this course, students will develop learning strategies, critical thinking skills, and problem solving techniques.Required Materials:Covered textbook PencilsLoose-leaf paperBinder with dividersCourse Objectives:Use a graphing calculator to evaluate expressions.Use the order of operations to evaluate expressions. Use formulas.Determine the sets of numbers to which a number belongs. Use the properties of real numbers to simplify expressions.Represent and interpret data using line plots and stem-and-leaf plots. Find and use the median, mode, and mean to interpret data.Solve equations by using the properties of equality. Solve equations for a specific variable.Solve equations containing absolute value. Solve problems by making lists.Solve inequalities and graph the solution sets.Solve compound inequalities using and and or. Solve inequalities involving absolute value and graph the solutions.Graph a relation, state its domain and range, and determine if it is a function. Find values of functions for given elements of the domain.Identify equations that are linear and graph them. Write linear equations in standard form. Determine the intercepts of a line and use them to graph an equation.Use a graphing calculator to approximate solutions to equations with one variable.Determine the slope of a line. Use slope and a pint to graph an equation.Determine if two lines are parallel, perpendicular, or neither. Solve problems by identifying and using a pattern.Write an equation of a line in slope-intercept form given the slope and one or two points. Write an equation of a line that is parallel or perpendicular to the graph of a given equation.Draw scatter plots. Find and use prediction equations.Identify and graph special functions.Draw graphs of inequalities in two variables.Work in small groups, use real world data to draw a scatter plot and find prediction equationUse pictures of objects that slant such as ladders, ski slopes, roads. Divide the vertical distance by the horizontal distance, discuss the value of the slopeResearch the nonmathematical meanings of the term slope and linear.Describe the general method for changing a point-slope equation into a slope intercept form and vice versa.Find and describe a real world application of a step function.Use a graphing calculator to graph and solve systems of linear equations.Solve systems of equations by graphing.Use the substitution and elimination methods to solve systems of equations.Find the values of second-order determinations. Solve systems of equations by using Cramer's rule.Use a graphing calculator to graph and solve systems of linear inequalities.Solve systems of inequalities by graphing.Solve a system of three equations in three variables.Determine the octant in which a point in space is located. Graph linear equations in space and determine the intercepts.Use a graphing calculator to perform operations with matrices and find determinants and inverses.Perform scalar multiplication on a matrix. Solve matrices for variables. Solve problems using matrix logic.Add and subtract matrices.Multiply matrices.Evaluate the determinant of a 3x 3 matrix. Find the area of a triangle, given the coordinates of its vertices.Write the identity matrix for any square matrix. Find the inverse of a 2 x 2 matrix.Solve systems of linear equations by using inverse matrices.Use a graphing calculator to solve systems of linear equations.Find the range, Find quartile, and interquartile range for a set of data. Determine if any values in a set of data are outliers. Represent data using box- and-whisker plotsMultiply and divide monomials. Represent numbers in scientific notation. Multiply and divide expressions written in scientific notation.Add, subtract, and multiply polynomials.Divide polynomials using long division. Divide polynomials by binomials using synthetic division.Factor polynomials. Use factoring to simplify polynomial quotients.Simplify radicals having various indices. Use a calculator to estimate roots of numbers.Simplify radical expression. Rationalize the denominator of fractions containing a radical expression. Add, subtract, multiply, and divide radical expressions.Solve problems by identifying and achieving sub goals. Write expressions with radical exponents in simplex radical form and vice versa. Evaluate expressions in either exponential or radical form.Solve equations containing radicals.Simplify square roots containing negative radicands. Solve quadratic equations that have pure imaginary solutions. Add, subtract, and multiply complex numbers.Simplify rational expressions containing complex numbers in the denominator.Write functions in quadratic form. Graph quadratic functions. Solve quadratic equations by graphing. Solve problems by using the guess-and-check strategy.Solve quadratic equations by factoring.Solve quadratic equations by completing the square.Solve quadratic equations by using the quadratic formula. Use discriminants to determine the nature of the roots of quadratic equations.Find the sum and product of the roots of quadratic equations. Find a quadratic equation to fit a given condition.Graph quadratic equations of the form y =a(x -h)2 + k. determine the equation of a parabola by using points on its graph.Graph quadratic inequalities. Solve quadratic inequalities in one variable.Find the standard deviation for a set of data.Solve problems involving normally distributed area.Find the distance between two points in the coordinate plane. Find the midpoint of a line segment in the coordinate plane.Write equations of parabolas. Graph parabolas having certain properties.Write equations of circles. Graph circles having certain properties.Draw an ellipse using simple materials.Write equations of ellipses. Graph ellipses having certain properties.Write equations of hyperbolas. Graph hyperbolas having certain properties.Write equations of conic sections in standard form. Identify conic sections from their equations. Use simulation to solve problems.Draw conic sections using conic graph paper. Solve systems of equations in involving quadratics graphically and algebraically. Solve systems of inequalities involving quadratics graphically.Use a graphing calculator to draw graphs of exponential functions.Simplify expressions and solve equations and inequalities involving real exponents.Write exponential equations in logarithmic form and vice versa.Evaluate logarithmic expressions. Solve equations and inequalities involving logarithmic functions.Simplify and evaluate expressions using properties of logarithms. Solve equations involving logarithms.Identify the characteristic and the mantissa of a logarithm. Find common logarithms and antilogarithms.Find natural logarithms of numbers.Solve equations with variable exponents by using logarithms. Evaluate expressions involving logarithms with different bases. Solve problems by using estimation.Use logarithms to solve problems involving growth and decay.Assessment: Students will receive homework on a daily basis as well as pop quizzes based upon the homework.? Announced tests and quizzes will also be given regularly.?? Students will receive a variety of class work such as but not limited to: review games, practice worksheets, problems of the day, labs, and journals.TESTS:Tests are always announced in advance.There will be a minimum of 2 tests per marking period including projects.Any projects count as a test grade.No extra time will be given to complete the Test unless special arrangements have been made.You may retake any Test if you meet the following guidelines:In order to retake the test, you must have ALL HOMEWORK completed for the chapter before the original Test and schedule an extra help session to go over the original test.You must take the retest no later than one week after the date that the graded test was returned.The new score will be calculated by averaging the original and the retake.QUIZZES:Quizzes can be announced or unannounced.There will typically be a minimum of 3 quizzes per marking periodQuizzes are not eligible for retakes.CLASSWORK:There are two types of class work:Type 1: Collected and graded for accuracyType 2: Graded for effort and completenessHOMEWORK: All homework must contain date, assigned problems, work, and answers.There are two possible types of homework:Type 1: Collected and graded for accuracyType 2: Graded for effort and completenessHomework will be graded as followsOn Time = Maximum grade of 10 out of 10 points1 Class Late = Maximum grade of 5 out of 10 pointsMore than 1 Class Late = No CreditFor absences, you have the same number of days to make up the homework as you were absent. Refer to the Student Handbook.JOURNAL ENTRIES:All Journal Entries will count as 2 Homework Assignments.They are graded on the following scale:4- Completely and neatly answers the question with appropriate information. 3- Complete answer but work isn’t neat. Work is neat but the entry may be missing one concept.2- Work isn’t neat and a concept is missing. Work is neat but several concepts are missing.1- The student attempted to answer the question.0- The student didn’t complete the journal entry.Grading Policy:Tests (30%)Quizzes ( 25%)Homework ( 20%)Class work ( 25%)TESTS:Tests are always announced in advance.There will be a minimum of 2 tests per marking period including projects.Any projects count as a test grade.No extra time will be given to complete the Test unless special arrangements have been made.You may retake any Test if you meet the following guidelines:In order to retake the test, you must have ALL HOMEWORK completed for the chapter before the original Test and schedule an extra help session to go over the original test.You must take the retest no later than one week after the date that the graded test was returned.The new score will be calculated by averaging the original and the retake.QUIZZES:Quizzes can be announced or unannounced.There will typically be a minimum of 3 quizzes per marking periodQuizzes are not eligible for retakes.CLASSWORK:There are two types of class work:Type 1: Collected and graded for accuracyType 2: Graded for effort and completenessHOMEWORK: All homework must contain date, assigned problems, work, and answers.There are two possible types of homework:Type 1: Collected and graded for accuracyType 2: Graded for effort and completenessHomework will be graded as followsOn Time = Maximum grade of 10 out of 10 points1 Class Late = Maximum grade of 5 out of 10 pointsMore than 1 Class Late = No CreditFor absences, you have the same number of days to make up the homework as you were absent. Refer to the Student Handbook.JOURNAL ENTRIES:All Journal Entries will count as 2 Homework Assignments.They are graded on the following scale:4- Completely and neatly answers the question with appropriate information. 3- Complete answer but work isn’t neat. Work is neat but the entry may be missing one concept.2- Work isn’t neat and a concept is missing. Work is neat but several concepts are missing.1- The student attempted to answer the question.0- The student didn’t complete the journal entry.Classroom Policies:Be prepared for class. You must have the following items with you at all times:PencilsCovered textbookLoose-leaf paperBinder or notebookBe on time. Be in your seat by the time class is scheduled to start. Complete the following:Put I-pods and phones away in purse, backpack, etc (ear buds should not be in your ears)Remove backpacks and purses from desksPlace homework in the corner of your deskHave pencils already sharpenedComplete the Problem of the DayBe respectful.As per school rules there are no cell phones in class.Show respect toward fellow classmates and the teacher.Raise hand and wait to be called on by the teacher before you speak.Please be advised that cursing will not be tolerated in any form and will result in an automatic teacher detention and possible referral to the office.No listening to IPOD during class without permission!No lavatory or locker passes during a lesson, with an exception of emergencies for lavatory. Go before or after class or wait until class work time.Be attentive.Try to come to class everyday! If you are absent, it is YOUR responsibility to get the notes and assignments missed while you were absent from a classmate, which means, the teacher will not remind you of the missed assignment.Course Outline:EQUATIONS AND INEQUALITIESExpressions and FormulasProperties of Real NumbersSolving EquationsApplications and EquationsProblem-Solving Strategy: List the PossibilitiesSolving Absolute Value EquationsSolving InequalitiesSolving Absolute Value InequalitiesLINEAR RELATIONS AND FUNCTIONSRelations and FunctionsLinear FunctionsProblem Solving Strategy: Look for a patternWriting Linear EquationsScatter Plots and PredictionsSpecial FunctionsGraphing Linear InequalitiesSYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES Graphing Systems of EquationsSystems of EquationsSolving Systems of Equations AlgebraicallyCramer's RuleGraphing Systems of InequalitiesProblem Solving Strategy: Solve a Simpler ProblemLinear ProgrammingGraphing Equations in Three VariablesSolving Systems of Equations in Three VariablesMATRICESProblem-Solving Strategy: Using Matrix LogicIntroduction to MatricesMatrices and DeterminantsMultiplication of MatricesIdentity and Inverse MatricesUsing Inverse MatricesUsing Cramer's RulePOLYNOMINALSMonomialsDividing MonomialsProblem-Solving Strategy: Draw a DiagramPolynomialsDividing Polynomials, Synthetic DivisionRadical ExpressionsRational ExponentsSolving Radical Equations and InequalitiesComplex NumbersQUADRATIC FUNCTIONS AND INEQUALITIESSolving Quadratic Equations by GraphingSolving Quadratic Equations by FactoringCompleting the SquareQuadratic Formula and DiscriminantSum and Product of RootsGraphing and Solving Quadratic InequalitiesIntegration: Statistics, Standard Deviation, Normal Distribution ChapterCONIC SECTIONSDistance and Midpoint FormulasParabolasCirclesEllipsesHyperbolasConic SectionsSolving Quadratic SystemsEXPONENTIAL AND LOGARITHMIC FUNCTIONSReal Exponents and Exponential FunctionsLogarithm and Logarithmic FunctionsProperties of LogarithmsCommon LogarithmsNatural LogarithmsGrowth and DecayApplications of Logarithms ................
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