Saturday, November 11, 2017

Welcome and Course Outline

Pre-calculus Math 12 Course Outline (for self-paced students)

Welcome to self-paced Pre-calculus Math 12!

Click on the links on the right for print friendly pages.
Print Button at the bottom of each page.

A. You will need:
1. This handout
2. A self-paced card
3. Pre-calculus workbook which you will buy. You can write in it.
4. A scientific calculator and a graphing calculator.

B. Marks:

8 chapter tests worth 10% =   80%
1 final exam worth                  20%
                                               100%
*You must pass the final exam to pass the course.

**You will use a scientific calculator only on some exams and on others you may use a graphing calculator.

C. To complete Pre-calculus 12:

1. Do the readings and homework as assigned in the course instructions.
2. All the answers to the questions are in your workbook.
3. When you don’t understand something, please ask a teacher in the lab.
4. Work towards really understanding the concepts and learning to apply them to a variety of
    problems. It is not enough to just memorize procedures.

D. To start the course and get your first assignment:
1.  Go to Pearson ALC’s home page: www.newwestadultlearning.ca
2. Click "Adult Learning Centre site" on the left side of the page
3. Click “Courses”
4. Click “Mathematics”
5. Click “Pre-calculus Math 12”
6. Click on Chapter 1 “Polynomial Expressions and Functions”
7. Print out the Word file which has the instructions for Chapter 1.

After you have completed each chapter and the chapter test, you will go back to our website to get the instructions for the next chapter.
Good luck and don’t forget to ask teachers for help.
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Chapter 1

Pre-calculus 12 Chapter 1 Polynomial Expressions and Functions

 Print Button at the bottom of each page.

Section 1.1 Dividing a Polynomial by a Binomial
Read pages 2-6 and try the “Check Your Understanding” questions on these pages.
Do exercises #3, 4, 6-8, 11-13 and the two multiple-choice questions on pages 7-13.

Section 1.2 Factoring Polynomial
Read pages 15-20 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-6, 8-12, 15 and the two multiple-choice questions on pages 20-26.

Section 1.1 and 1.2 Checkpoint
Do the “Self-Assess” pages 28.
Do pages 29-31, exercises 1-7, if you need the practice.

Section 1.3 Math Lab: Graphing Polynomial Functions
Do pages 32-36. Check your answers with a graphing calculator.

Section 1.4 Relating Polynomial Functions and Equations
Read pages 37-46 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-8, 10, 11, 12, 13 and the two multiple-choice questions on pages 46-54.

Section 1.5 Modelling and Solving Problems with Polynomial Functions
Read pages 57-60 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-7, 9, 10 and the two multiple-choice questions on pages 61-68.

Fill in the Study notes on page 70.

Chapter 1 Study Guide/Review/Practice Test
Review the Skills Summary on page 71.
Do the Review on pages 72-77.
Do the Practice Test on pages 78-80.

**When you’re ready to write the Chapter 1 test, ask a teacher in the Lab for this
    test**


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Chapter 2

Pre-calculus 12 Chapter 2 Radical and Rational Functions

Print Button at the bottom of each page.

Section 2.1 Properties of Radical Functions
Read pages 82-89 and try the “Check Your Understanding” questions on these pages.
Do exercises #4-9 and the two multiple-choice questions on pages 90-97.

Section 2.2 Math Lab: Graphing Rational Functions
Do pages 100-104. Check your answers with a graphing calculator.

Section 2.3 Analyzing Rational Functions
Read pages 105-112. and try the “Check Your Understanding” questions on these pages.
Do exercises 4-11 on pages 114-121.

Section 2.1 - 2.3 Checkpoint
Do the “Self-Assess” pages 124.
Do pages 124-128, exercises 1-8, if you need the practice

Section 2.4 Sketching Graphs of Rational Functions
Read pages 124-134 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-7and the two multiple-choice questions on pages 134-141.

Fill in the Study notes on page 144.

Chapter 2 Study Guide/Review/Practice Test
Review the Skills Summary on page 145.
Do the Review on pages 146-153.
Do the Practice Test on pages 154-155.

**When you’re ready to write the Chapter 2 test, ask a teacher in the Lab for this
    test**



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Chapter 3

Pre-calculus 12 Chapter 3 Transforming Graphs of Functions

Section 3.1 Translating Graphs of Functions
Read pages 162-168 and try the “Check Your Understanding” questions on these pages.
Do exercises #4-17 and the two multiple-choice questions on pages 169-175.

Section 3.2 Reflecting Graphs of Functions
Read pages 178-183 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-12 and the two multiple-choice questions on pages 183-191.


Section 3.3 Stretching and Compressing Graphs of Functions
Read pages 193-200, and try the “Check Your Understanding” questions on these pages.
Do exercises 3-5,7-14 on pages 201-210.

Section 3.1 - 3.3 Checkpoint
Do the “Self-Assess” pages 213.
Do pages 213-218, exercises 1-9, if you need the practice

Section 3.4 Combining Transformations of Functions
Read pages 219-226 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-7, 9-11 and the two multiple-choice questions on pages 226-233.

Section 3.5 Inverse Relations
Read pages 235-242 and try the “Check Your Understanding” questions on these pages.
Do exercises #4-14, and the two multiple-choice questions on pages 243-249

Fill in the Study notes on page 252.

Chapter 3 Study Guide/Review/Practice Test
Review the Skills Summary on page 253-254.
Do the Review on pages 255-260.
Do the Practice Test on pages 361-264.

**When you’re ready to write the Chapter 3 test, ask a teacher in the Lab for this
    test**



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Chapter 4

Pre-calculus 12 Chapter 4 Combining Functions

Section 4.1 Combining Functions Graphically-Math Lab
Read pages 266-268. Do exercises #1-3 and check your answers on a graphing calculator.

Section 4.2 Combining Functions Algebraically
Read pages 272-277 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-9, 11-14 and the two multiple-choice questions on pages 278-284.

Section 4.1 - 4.2 Checkpoint
Do the “Self-Assess” pages 287.
Do pages 287-290, exercises 1-5, if you need the practice

Section 4.3 Introduction to Composite Functions
Read pages 291-297, and try the “Check Your Understanding” questions on these pages.
Do exercises #4-10,13-15 and the two multiple-choice questions on pages 298-304.

Section 4.4 Determining Restrictions on Composite Functions
Read pages 307-313 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-6, 8, 10-12 and the two multiple-choice questions on pages 314-321.

Fill in the Study notes on page 324.

Chapter 4 Study Guide/Review/Practice Test
Review the Skills Summary on page 325-326.
Do the Review on pages 327-334.
Do the Practice Test on pages 335-338.

**When you’re ready to write the Chapter 4 test, ask a teacher in the Lab for this
    test**



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Chapter 5

Pre-calculus 12 Chapter 5 Exponential and Logarithmic Functions

Section 5.1 Graphing Exponential Functions -Math Lab
Read pages 340-343. Do exercises #1-4 and check your answers on a graphing calculator.

Section 5.2 Analyzing Exponential Functions
Read pages 344-348 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-10 and the two multiple-choice questions on pages 355.

Section 5.3 Solving Exponential Functions
Read pages 358-363, and try the “Check Your Understanding” questions on these pages.
Do exercises #3-10,13,14 and the two multiple-choice questions on pages 369.

Section 5.1 - 5.3 Checkpoint
Do the “Self-Assess” pages 371.
Do pages 371-374, exercises 1-8, if you need the practice


Section 5.4 Logarithms and the Logarithmic Function
Read pages 375-380 and try the “Check Your Understanding” questions on these pages.
Do exercises #4-13 and the two multiple-choice questions on pages 385.

Section 5.5 The Laws of Logarithms
Read pages 388-392 and try the “Check Your Understanding” questions on these pages.
Do exercises #4, 5, 8, 12-17 and the two multiple-choice questions on pages 399.

Section 5.6 Analyzing Logarithmic Functions
Read pages 401-404 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-11 and the two multiple-choice questions on pages 410.

Section 5.4 - 5.6 Checkpoint 2
Do the “Self-Assess” pages 413.
Do pages 413-416, exercises 1-11, if you need the practice

Section 5.7 Solving Logarithmic and Exponential Equations
Read pages 417-421 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-10, 12-14 and the two multiple-choice questions on pages 427.

Section 5.8 Solving Problems with Exponents and Logarithms
Read pages 430-434 and try the “Check Your Understanding” questions on these pages.
Do exercises #3-11 and the two multiple-choice questions on pages 439-440..
Fill in the Study notes on page 324.

Chapter 4 Study Guide/Review/Practice Test
Review the Skills Summary on page 442-443.
Do the Review on pages 444-452.
Do the Practice Test on pages 453-456.

**When you’re ready to write the Chapter 5 test, ask a teacher in the Lab for this
    test**

You may NOT use a graphing calculator for this chapter test.


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Chapter 6

Pre-calculus 12 Chapter 6 Trigonometry

Section 6.1 Trigonometric Ratios for any Angle in Standard Position
Read pages 466-473 and try the "Check Your Understanding Questions on these pages. Do exercises #3-11 and the two multiple choice questions on pages 474-480.

Section 6.2 Angles in Standard Position and Arc Length Math Lab
Read pages 483-484.
Do exercises #1-4.

Section 6.3 Radian Measure
Read pages 487-493, and try the "Check Your Understanding" questions on these pages.
Do exercises #4-9,11-14 and the two multiple-choice questions on pages 494-499.

Section 6.1-6.3 Checkpoint
Do the "Self-Assess" pages 504.
Do pages 505-509 exercises 1-12, if you need the practice.


Section 6.4 Graphing Trigonometric Functions Math Lab
Read page 510-511 and do #1-4 on page 512.


Section 6.5 Trigonometric Functions
Read pages 513-520 and try the "Check Your Understanding" questions.
Do #3-11 and the multiple choice questions on pages 521-526.

Section 6.6 Combining Transformations of Sinusoidal Functions
Read pages 529-533 and try the "Check Your Understanding" questions.
Do #3-11 and the multiple choice questions on pages 534-539.

Section 6.7 Applications of Sinusoidal Functions
Read pages 542-547 and try the "Check Your Understanding" questions.
Do #3-10 and the multiple choice questions on pages 548-553.
Fill in the Study notes on page 558

Chapter 6 Study Guide/Review/Practice Test

Review the Skills Summary on page 559.
Do the Review on pages 560-566.
Do the Practice Test on pages 567-570.

**When you're ready to write the Chapter 6 test, ask a teacher in the Lab for this
    test**


You may NOT use a graphing calculator for this chapter test.
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