# Pre-Calculus 11 Outline

PRE−CALCULUS 12 COURSE OUTLINE

Teacher: Mrs. Ungurean email: bungurean@vsb.bc.ca

In The Classroom: RESPECT YOURSELF, RESPECT YOUR PEERS AND YOUR TEACHER

For the Prescribed Learning Outcomes of this course, visit:

▪ ATTENDANCE is taken at the beginning of the class. Excessive lates (more than three times) will result in Friday school.

▪ BOOKS & SUPPLIES must be brought to class every period. This includes pen/pencil, eraser, textbook, binder with lined/graph paper and calculator. You will NOT be allowed to return to your locker to get books and materials. All graphs must be done on graph paper.

▪ Take down notes given during class. These notes will help you study for the tests and quizzes.

▪ BE AN ACTIVE LEARNER! Do the “Try- questions” in class, ask questions, and use class time effectively.

▪ Get HELP as soon as possible if you are having trouble. There is usually some time after the lesson to ask questions. Do not let little problems snowball into big problems.

▪ RESPECT YOUR CLASSROOM: No food or drink (except water), keep desks and learning area clean and safe.

▪ NO CELL PHONES ALLOWED!

▪ FOLLOW THE SCHOOL DRESS CODE!

Homework Assignments

▪ HOMEWORK is assigned EACH CLASS. Keep up with the homework as it is assigned.

▪ Mark all homework with the section, page number and date at the beginning, and SHOW ALL WORKING. Homework done with no working out or calculations will be considered as INCOMPLETE.

▪ Homework assignments are to be marked using the answers at the back of the book and mistakes corrected. Homework will not be considered complete unless homework is marked and mistakes are corrected.

Quizzes & Tests

▪ QUIZZES will be given regularly, and cover several sections in a chapter. TESTS cover work covered in a chapter. At least one week’s notice will be given for tests. Quizzes may be given with or without notice.

▪ If you are unexpectedly ABSENT on a test day, please have your parents call me prior to the test time to notify me of your absence. You will receive a grade of ZERO for that test if I do not receive notification. You have one week to write a test you missed.

▪ Cases of COPYING & CHEATING will immediately receive a mark of ZERO. Your parents and school administration will be notified of the incident. Refer to your student agenda for more information.

▪ Books

We are using Theory and Problems for Pre-Calculus Mathematics 12 workbook. The book costs $25. You will be reimbursed the amount at the end of the year, if you do not write in the book.

EVALUATION

▪ Marks will be calculated cumulatively throughout the year with the following breakdown:

|Assessment Item |Terms 1, 2 and 3 Grade |Final Course Grade |

|Homework Checks |5% |70% |

|Quizzes/Tests/Midyear Exam |95% | |

|Final Exam (mid-June) | |30% |

TOPICS TO BE STUDIED

|Review of Previous Math | |

|Algebra (multi-step questions) |Review Sheet |

|Factoring x2 + bx + c and ax2 + bx + c |Review Sheet |

|Graphing linear, quadratic functions |Review Sheet |

|Transformations |Chapter 1 Section 1.1 − 1.7 |

|Operations with Functions | |

|Composition of Functions | |

|Transformations − translations, reflections, compressions, expansions | |

|Inverse Functions | |

|Absolute Values and Reciprocal functions | |

|Polynomials |Chapter 2 Section 2.1 − 2.6 |

|Graphing Polynomials − with and without technology | |

|Synthetic Division | |

|Remainder and Factor Theorems | |

|Radical and Rational Functions |Chapter 3 Section 3.1 − 3.5 |

|Graphing Radical Functions | |

|Solving Radical Equations − graphing, algebraically | |

|Graphing Rational Functions | |

|Exponents and Logarithms |Chapter 4 Section 4.1 − 4.6 |

|Exponential and Logarithmic Functions | |

|Logarithmic Properties | |

|Exponential and Logarithmic Equations | |

|Applications | |

|Trigonometry (Part I) |Chapter 5 Section 5.1 − 5.6 |

|Trigonometric Functions of Angles | |

|Special Angles (0,45,60,90,180,270,360) and Unit Circle | |

|Graphing y = asinb(x−c) + d and y = acosb(x−c) + d and y = atanb(x−c) + d | |

|Applications of Trigonometric Functions | |

|Trigonometry (Part II) | |

|Trigonometric Equations |Chapter 6 Section 6.1 − 6.6 |

|Basic Trigonometric Identities | |

|Trigonometric Proofs | |

|Sum and Difference Identities | |

|Double Angle Identities | |

| Combinatorics |Chapter 7 Section 7.1 − 7.6 |

|Fundamental Counting Principle; Tree Diagrams; Factorial Notation | |

|Permutations | |

|Combinations | |

|Pascal’s Triangle/Pathways/Binomial Theorem | |

PRECALCULUS 12 ASSIGNMENT SHEET

Assignments consist of questions from the Mickelson workbook, and worksheets distributed in class. These should be the minimum number of questions completed in order to understand the concepts taught in class. Work should be shown for all questions assigned.

| |SECTION |ASSIGNMENT |( |

|SEPTEMB|Review Algebra |Worksheet | |

|ER | | | |

| |Factoring x2 + bx + c and ax2 + bx + c |Worksheet | |

| |Graphing Linear and Quadratic Functions |Worksheet | |

| |Review Quest | |

| |1.1 Functions and Relations Review | | |

| |1.2 Arithmetic Combinations of Functions | | |

| |1.3 Composite Functions | | |

|OCTOBER|1.4 Transformations of Graphs (Translations, reflections) | | |

| |1.4 Expansions and Compressions | | |

| |1.5 Inverse Functions | | |

| |1.6 Combined Transformations | | |

| |1.7 Review | | |

| |TEST Transformations | |

| |2.1 Polynomials | | |

| |2.2 Graphing Polynomial Functions | | |

| | Graphing With Graphing Calculators | | |

| |2.3 Division of Polynomials (Long & Synthetic) | | |

|NOVEMBE|2.4 Remainder Theorem, Factor Theorem and Graphing | | |

|R | | | |

| |2.5 Polynomial Applications | | |

| |2.6 Review | | |

| |TEST: Polynomials | |

| |3.1 Graphing Radical Functions | | |

| |3.2 Solving Radical Equations Graphically, Algebraically | | |

| |3.3 Rational Functions: domain, range, holes … | | |

| |3.4 Graphing Rational Functions (I) | | |

| |3.4 Graphing Rational Functions (II) | | |

|DECEMBE|3.5 Review | | |

|R | | | |

| |TEST: Radicals and Rational Functions | |

| |4.1 Exponential Functions & Exponential Equations With Same Base | | |

| |4.2 Logarithmic Functions | | |

| |4.3 Properties of Logarithms | | |

|JANUARY|4.4 Exponential and Logarithmic Equations (I) | | |

| |4.4 Exponential and Logarithmic Equations (II) | | |

| |4.5 Applications of Exponential and Logarithmic Functions | | |

| | Natural Logarithms | | |

|FEBRUAR|4.6 Review | | |

|Y | | | |

| | Midterm Review | | |

| | Midterm Review | | |

| | Midterm Review | | |

| |TEST: Exponents and Logarithms | |

|MARCH |5.1 Introduction to Trigonometry | | |

| |5.2 Trigonometric Functions of Angles | | |

| |5.3 Special Angles | | |

| |5.4 Graphing Sin, Cos, Tan Functions (I) | | |

| |5.4 Graphing Sin, Cos, Tan Functions (II) | | |

| |5.5 Applications of Trigonometric Functions | | |

|APRIL |5.6 Review | | |

| |TEST: Trigonometry Part I | |

| |6.3 Trigonometric Equations (I) | | |

| |6.3 Trigonometric Equations (II) | | |

| |6.1 Basic Trig Identities | | |

| |6.2 Verifying Trigonometric Identities (Proofs) | | |

| |6.3 Sum and Difference Identities | | |

| |6.4 Double Angle Identities | | |

| | Proofs | | |

| |6.6 Review | | |

|MAY |TEST: Trigonometry Part II | |

| |7.1 Fundamental Counting Principle, Tree Diagrams, Factorial Notation | | |

| |7.2 Permutations | | |

| |7.3 Combinations | | |

| |7.4 Pascal’s Triangle | | |

| |7.5 Pathways | | |

| |7.6 Review | | |

| |TEST: Combinatorics | |

| |REVIEW FOR FINAL EXAMINATION | | |

|June |REVIEW FOR FINAL EXAMINATION | | |

| |REVIEW FOR FINAL EXAMINATION | | |

| |FINAL EXAM (CH 1 − 8) | |

| | | | |

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