COURSE TITLE: MATH ANALYSIS

TEACHER: Rm B2.11

COURSE DESCRIPTION:

This course will involve study of functions and equations, circular functions, vectors, applications of matrices, recursion, advanced proof ideas, rates and areas, algebra and algorithms. Connections will be made of graphs with equations with real world situations. Reasoning in trigonometry, probability, discrete math, mathematical structure and the conceptual underpinnings of calculus are major emphases in the course.

COURSE GOALS/OBJECTIVES/STANDARDS:

Upon successful completion of this course, the student should be able to:

-Describe the sum, difference, product, quotient and composite of two given functions

-Graph polynomial, exponential, rational, and hybrid functions

-Recognize and graph reflections and transformations of functions

-Justify properties of factors of integers or factors of polynomials

-Solve realistic problems involving conic sections

-Use trig identities to express values of trig functions in terms of rational numbers and radicals

-Find the value of selected trig circular functions by applying them to triangles

-Verify trigonometric identities

-Solve problems using the Law of Sines and the Law of Cosines

-Solve equations involving trig and inverse trig functions

-Use computers or calculators to determine linear, exponential, power, and logarithmic regression

lines of a set of data

-Use an appropriate experimental design to conduct a study of biological or scientific phenomena

-Solve a counting problem using the Multiplicative Counting Principle or the Binomial Theorem

-Use matrix theory with graphics calculators to solve systems of equations, problems involving

coordinate transformations, and finite function

-Apply vector geometry to solve real world problems

-Perform basic derivative and integral calculations

SCOPE AND SEQUENCE:

Fall Semester

Chapter P Prerequisites 7 classes

Chapter 1 Functions & Graphs 8 classes

Chapter 2 Polynomial, Power, and Rational Functions 11 classes

Chapter 3 Exponential, Logistic,& Logarithmic Functions 8 classes

Chapter 4 Trigonometric Functions 8 classes

Spring Semester

Chapter 5 Analytic Trigonometry 7 classes

Chapter 6 Vectors, Parametric Equations, & Polar Equations 7 classes

Chapter 7 Systems & Matrices 8 classes

Chapter 8 Analytic Geometry in Two Dimensions 4 classes

Chapter 9 Discrete Mathematics 4 classes

Chapter 10 Introduction to Calculus 5 classes

Please see the class calendar which details the section to be covered each day, as well as dates for

tests and quizzes, and due dates for graded assignments.

CONTINOUS SCHOOL IMPROVEMENT:

AFNORTH International High School’s Continuous School Progress (CSP) goal is, “All students

will improve their written communication skills across the curriculum.” The 6 + 1 Traits is the model

selected to improve school-wide writing in all subject areas. The 6 + 1 Trait writing framework is a

powerful way to learn and use a common language to refer to characteristics of writing as well as

establish a common vision of what strong writing looks like. Teachers and students will use the

6 + 1 Traits model to identify areas of strength and weakness as they continue to strive towards

continued writing improvement. Success of all students requires that the 6 + 1 trait become a consistent

and integral component of each course taught at AFNORTH International High School.

All tests (4 to 5 per semester) will contain at least one problem in which the student will be required to

write a paragraph detailing how they would solve and check that problem. Those problems will be

scored based on a rubric involving content, student understanding and use of one of the 6 + 1 traits.

Students will receive in class training and practice in writing the above paragraphs.

Students will be issued 2 copies of this book (one for home) valued at $70 each.

Students will also be issued the Student solution Manual – with complete solutions to odd questions.

SUPPLIES:

Please come to class prepared with the following materials:

· Textbook

· 3-ring Binder with lined paper

· Graph paper

· calculator, pencils, large eraser, etc

It is recommended that students acquire a TI-83+ graphing calculator from Supply.

COURSE GRADING AND ASSESSMENT:

The breakdown of marks for each semester will be as follows:

Tests & Quizzes 60% Each quarter will be valued at 40% of

Assignments 20% the semester grade.

Final exam 20%

Note there is no grade for class participation or homework.

Homework will be checked daily. All solutions are provided. Students who maintain an A average will have the option of not doing homework.

Grades in this college prep math course will be based on performance only. Students who can do all the problems in the book (take class lessons and extend them to new problems) could reasonably expect an A – students who can do only the problems they have been shown in class, should expect no more than a B.

Tests will be scheduled at the end of each unit, usually with more than 1 week notice.

Part marks are awarded for part solutions – part marks are lost for missing formulas, diagrams, steps, units, statements. Quizzes will be given at shorter intervals.

Assignments will be due approximately every two weeks. Assignment due dates have been posted on the class calendar, and so, late assignments will not be accepted. Students are advised to hand it whatever work they have completed, for part marks.

Homework involves completing the daily assignment, checking answers in the solutions manual, and asking questions if necessary in the following class. Students who are absent when the work is assigned are responsible for it.

Students are required to copy each question or diagram and provide a full solution. (Alternately, each question should be attempted or commented on.) The homework should be a record of problem solving to be referred to when studying for tests and exam. Neatness is not important – but intermediate steps are. Solutions and work must be shown together. For answers to odd numbered questions see BOB or Student Solution Manual.

Detentions will be assigned when homework is not done – unless the student can prove mastery of the topic by demonstrating solutions on the board, or maintaining an A average.

Extra help:

It is expected that students (or parents) will ask for help when needed. There should always be ample time during class to ask questions. But students may also make arrangements for extra help almost any day before or after school, or of course during Seminar .

And, there are teachers available during Academic Coaching, after school in the library, from 1545-1730 every Tuesday and Wednesday (when the activity buses run).

CLASSROOM EXPECTATIONS & CONSEQUENCES:

It is expected that students will come to class with a willingness to learn. Behavior should never interfere with the learning of others. Gum chewing must be discrete (no cracking or bubbles). No personal music devices, cell phones, computer games, laser pointers or other items not directly supporting the educational environment are allowed. No food or drink except water is allowed. Students may use the restroom during the very generous 10-minute passing period.

Consequences will be in accordance with the Parent / Student Handbook. Confiscated items may be retrieved from the high school office.

Students will be expected to put forth whatever effort is required for them to master the Algebra skills

presented to them. Since every student has a different level of mathematical talent and ability as well

as prior skill, the amount of effort required for each individual student to master the course

material may vary significantly.

ABSENCE

In accordance with school policy, parents will validate all student absences for illness, etc by providing a note for the teacher, or otherwise notifying the appropriate high school office so that the computerized attendance record is accurate. If the attendance record says “Absent no reason” it will be interpreted as “Truant” and test or assignment marks may be forfeited. Absence due to sleeping in and working on assignments is not acceptable.

MAKE-UP WORK POLICY:

Keep in mind that some activities cannot be made up at home, so class attendance is extremely

important. If it is necessary for you to miss class please refer to the class calendar for the work

hat you missed.

Students should make arrangements immediately upon their return from any absence (before 9am) to hand in assignments due during the absence.

Tests will be written only on the date announced unless previous arrangements have been

made. Alternately, the exam grade may count in place of the test.