Accelerated Trigonometry/Pre-IB Mathematics

Department of Mathematics, Schenectady High SchoolMs. J. Brendese

2010-2011

Course Description  This course is designed for students who have successfully completed Geometry and wish to prepare for IB Math Methods. Special emphasis is placed on the analysis of functions, advanced algebra, trigonometry and mathematical applications. Pre-calculus topics are also incorporated where appropriate and an IB Internal Assessment task will be completed as well. Students will take a school-level midterm exam and will be prepared for the Advanced Algebra & Trigonometry Regents exam to be administered in June, 2011.

Materials          3-ring binder           folder           pens/pencils

text: Algebra 2 & Trigonometry (Prentice Hall) TI-83, TI-83PLUS, TI-83PLUS Silver Edition, or TI-84 PLUS Silver

              Edition graphing calculator***NOTE:  Graphing calculators will be available to students who do not own one for use during class.  Due to their cost, these calculators may not leave the building.  Students may come in during study halls, lunch, or after school if they need to use one to complete an assignment.   Classroom Procedures

        Students are to be in their seats by the time the second bell rings.  Students who are not in the classroom by the time the second bell rings will be considered tardy.  Consistently be tardy will adversely affect your grade.

     Students will not be allowed to leave the classroom during instructional time for any reason, including trips to their locker or the bathroom. 

Exceptions will be made in emergency situations only.  No students will

be allowed to leave the room without their planner.        All electronic devices (ESPECIALLY CELL PHONES) shall be

turned off and put away (ie. not ON or IN the desk) by the time the second bell rings.  Failure to comply will result in the student being asked to leave class and bring the electronic device to their house principal.

***ANY STUDENT USING A CELL PHONE DURING AN ASSESSMENT WILL AUTOMATICALLY EARN A SCORE OF ZERO.***

        Disruptive behavior will not be tolerated and may result in a teacher detention, an administrative referral, or removal from class based on the severity of the infraction.  Examples of inappropriate behaviors include, but are not limited to, the following:

use of offensive languagetalking while instruction is taking place or another student is asking a questionthrowing objectstaking things not belonging to you without permissioninitiating unwanted physical contactvandalism of instructional materials/furniture/property of others

        Please refer to the Student Handbook/Code of Conduct for further information regarding school policies and procedures.

 Homework          Homework will be assigned at the completion of each lesson and is due at the beginning of the following class – it is part your participation grade.  Students are expected to be responsible for their own learning; homework is your opportunity to practice what you have learned. Students will be provided with the answers to each assignment and time will be allotted during the following class to address any difficulties that students may encounter.  

Assessment & Grading          Every week students will complete a quiz.  Students should expect 7-8 quizzes per marking period.  One comprehensive exam will be given at the end of each marking period. Other forms of assessment include class participation, homework, and labs.  Grades will be determined as follows:                             Quizzes                                             45%                             Exams                                               25%                             Cumulative Reviews                 10%                             Participation                                     20%

***Students are responsible for making up missed assessments (both exams AND quizzes) due to absences.  Arrangements should be made with the instructor outside of class; failure to do so will result in a zero for the assessment.******Students have the opportunity to re-take quizzes and the two grades will be averaged together.*** ParticipationAs per the Attendance Policy, the mathematics department has adapted the following policy to determine the participation grade for the 2010-2011 academic year.  Participation will equal 20% of each quarter’s grade – in determining this grade, the following items will be among those considered. 

        Attendance will be part of this grade        Students who arrive to class illegally more than

halfway through a period will not get credit for attendance.

        Students who are sent out of class for disciplinary reasons will not get credit for attendance.

        Being prepared for class will be part of this grade; this includes having completed the homework assignment from the previous lesson.

        Submitting work on time will be part of this grade.        Being part of class discussion will be part of this grade.        Completing each day’s activity will be part of this grade.        Returning books will be part of this grade.

 Extra Help/Miscellaneous Information

        Instructor is available either before or after school for additional help if you are having difficulty; a calendar will be posted and filled in weekly to indicate availability.  Please SEEK OUT EXTRA HELP immediately if you are having difficulty with the material; mathematics is cumulative.

        Please refer to the following website for a weekly list of topics to be covered and homework assignments, as well as other helpful information and links:   www.infinitehorses.com

        Parents or guardians who wish to contact me may do so at either via email:  brendesej@schenectady.k12.ny.us or by leaving a message with the Main Office:  370-8190

Scope & SequenceTopic Text Section(s) #

Classes

FunctionsRelations & Functions 2-1 1One-to-One Functions: Domains & Ranges 2-1 & Supplement 2Types of Functions (Linear Functions) 2-3 & Supplement 1Composition of Functions 6-6 1Transformations as Functions: Shifting Functions 2-6 2Inverse Functions (Domain/Range) 6-7 1Direct & Inverse Variation 2-2, 8-1 1

Quadratic EquationsThe Parabolic Function & Quadratic Models 4-1, 4-2, 4-5 1Solving Quadratic Equations by Completing the Square 4-2, 4-6 1Writing the Equation of a Circle by Completing the Square

10-3 & Supplement .5

Discriminant & Nature of the Roots 4-7 & NY-2 2Solving Quadratic Inequalities Concept Byte p.256 1Solving Linear-Quadratic Systems of Equations 4-9 1

Complex NumbersComplex & Imaginary Numbers 4-8 & Supplement 2Solving Quadratic Equations with Imaginary Roots 4-8 1Operating on Complex Numbers (include magnitude) Supplement 2

Math ModelingPlotting Data 2-5 0.5Recognizing & Fitting Curves 2-5, 4-3, 5-8 2Predictions 0.5Quarter I Exam

Rational ExpressionsOperating on Polynomials Supplement 2Factoring a Polynomial Completely 4-4 & Supplement 1.5Solving Higher Order Polynomial Functions 5-2, 5-3 .5Reduce to Lowest Terms 8-3, 8-4 1Multiplication & Division 8-4 & Supplement 1Addition & Subtraction 8-5 2

Complex Fractions 8-5 1.5Fractional Equations & Inequalities 8-6 & Concept Byte p. 550 2Absolute Value Equations & Inequalities 1-6 1

Topic Text Section(s) # Classes

Roots & Radicalsnth degree & Simplifying 6-1 1Operations 6-2, 6-3 1Rationalizing 6-2 & Supplement 1Radical Equations 6-8 1

ExponentsLaws of Exponents: Negative & Zero Exponents p. 360 1Fractional Exponents 6-4 1Equations with Fractional/Negative Exponents 6-5 1The Exponential Function 7-1, 7-2 1Exponential Equations 7-5 2

Midterm Exam

LogarithmsThe Logarithmic Function/Change of Base 7-3 1Logarithmic Form of an Equation 7-3 1Product, Quotient, & Power Rules 7-4 2Logarithmic Equations 7-5 2

Trigonometric FunctionsRight Triangle Trigonometry 13-8, 14-1, NY-3 2Angles & The Unit Circle 13-2 2Cofunctions 14-6 1Reference Angles Supplement 1Using Triangles to Find Unknown Trig Values 14-3 1.5Radian Measure 13-3 1Area of a Sector Supplement .5Degree/Minute/Seconds Supplement .5

Trigonometric GraphsGraphs of y = sin x, y = cos x, y = tan x 13-4, 13-5, 13-6 2Amplitude, Period, & Frequency 13-1 & Supplement 1Transformations of Trigonometric Graphs 13-7 1Inverse Trigonometric Functions 14-2 1

Trigonometric ApplicationsArea of a Triangle 14-4 1

Law of Sines 14-4 1The Ambiguous Case Concept Byte p. 927 1

Quarter III Exam

Topic Text Section(s) # Classes

Trigonometric Applications (cont.)Law of Cosines 14-5 1Solving Triangles Supplement 2

Trigonometric Equations & IdentitiesPythagorean Identities 14-1 1Sum/Difference of Angles Identities 14-6 & Supplement 1Double Angle Identities 14-7 0.5Half Angle Identities 14-7 0.5Solving Trigonometric Equations 14-2 & Supplement 2

ProbabilityCombinations, Permutations, & The Counting Principle 11-1 1.5Basic Probability 11-2, 11-3 1Bernoulli Experiments: “At Least/At Most” Supplement 2

Sequences & SeriesDifference between Arithmetic/Geometric Sequence 9-1 1Arithmetic Sequences & Series 9-2, 9-4 2Geometric Sequences & Series 9-3, 9-5 3The Binomial Theorem 11-8, Concept Byte p. 325 1Sigma Notation 9-4 1

Statistics Data Collection 11-7 0.5Measures of Central Tendency 11-5 0.5Measures of Dispersion NY-1, 11-6 1The Normal Curve 11-9 & Concept Byte p. 740 1