Welcome and Outline

Pre-calculus Math 11 Course Outline (for self-paced students)

Welcome to self-paced Pre-calculus Math 11!

(There is also a class available for this course. Please talk to a teacher if you are interested in a class.)

Click on the links on the right to get a Printer Friendly page!  Printer 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 graphing calculator handout

5. A scientific calculator and a graphing calculator. (You can rent one from us)

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 graphing calculator on parts of chapter tests and the final exam.

C. To complete Pre-calculus 11:

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.

5. Some chapter Tests are divided into two parts: the first you will complete with the help of a

    scientific calculator, and the second, you will complete with the help of a graphing calculator.

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”

6. Click on Chapter 1 “Sequences and Series”

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.

Chapter 1

Chapter 1 Sequences and Series

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Section 1.1 Arithmetic Sequences

If you like, you may view the following Arithmetic Sequence video at the Khan Academy

http://youtu.be/_cooC3yG_p0

Read pages 2 – 7 and try the “Check Your Understanding” questions on these pages.

Do exercises #4, 5, 6, 9a, 10, 13, 15, and 18 and the multiple-choice questions on pages 8 – 13.

Section 1.2 Arithmetic Series

If you like, you may view the following Sum of Arithmetic Sequence (Series) video:

http://youtu.be/cYw4MFWsB6c

Read pages 14 – 18 and try the “Check Your Understanding” questions on these pages.

Do exercises #3, 5, 6, 7, 9, 10, 13, 15, and 18 and the multiple-choice questions on on pages 19 – 24.

Section 1.1 and 1.2 Checkpoint 1

Do the “Self-Assess” on page 25.

Do Assess Your Understanding questions on pages 26 – 27 if you need extra practice.

Section 1.3 Geometric Sequences

If you like, you may view the following Geometric Sequence video:

http://youtu.be/dIGLhLMsy2U

Read pages 29 – 34 and try the “Check Your Understanding” questions on these pages.

Do exercises #3 – 8, 10a, 13, and 14 and the multiple-choice questions on pages 35 – 42.

Section 1.4 Geometric Series

Read pages 43 – 47 and try the “Check Your Understanding” questions on these pages.

Do exercises #4 – 7, 9, 11 – 13 and the two multiple-choice questions on pages 48 – 54.

Section 1.3 and 1.4 Checkpoint 2

Do the “Self-Assess” on page 55

Do Assess Your Understanding questions on pages 55 – 57 if you need extra practice.

Section 1.5 Math Lab: Graphing Geometric Sequences and Series

**This section is optional**   You will not be directly tested on this section, but completing this section may help you to better understand this chapter.

Read and complete the Math Lab on pages 58 – 61 and try the “Assess Your Understanding” questions page 62.

Section 1.6 Infinite Geometric Series

If you like, you may view the following Vertical Distance of Bouncing Ball video:

http://youtu.be/tqTJZEglrvc

Read pages 63 – 66 (omit page 67) and try the “Check Your Understanding” questions on these pages.

Do exercises #3, 4, 5, 7, 10a, 10b and multiple-choice questions #1 and #3 on pages 68 - 73.

Chapter 1 Study Guide/Review/Practice Test

Review pages 74 and 75 for the chapter test.

Do the Review on pages 76 – 79.

Do the Practice Test on pages 80 – 82.

Study for the Chapter 1 Test.

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

    test**

Chapter 2

Chapter 2 Absolute Value and Radicals

Printer Button at the bottom of each page.

Section 2.1 Absolute Value of a Real Number

If you like, you may view the Absolute Value and Number Lines video:

http://youtu.be/frBJEYvyd-8

Read pages 84 - 88 and try the “Check Your Understanding” questions on these pages.

Do exercises #3, 5, 6, 8 – 14, and 16 and the multiple-choice questions on pages 89 –94.

Section 2.2 Simplifying Radical Expressions

Read pages 95 – 99 and try the “Check Your Understanding” questions on these pages.

Do exercises #3, 4, 6 – 11, 13ab and the multiple-choice questions on pages 100 - 106.

Section 2.1 and 2.2 Checkpoint 1

Do the “Self-Assess” on page 107.

Do Assess Your Understanding questions on pages 108 – 109 if you need extra practice.

Section 2.3 Adding and Subtracting Radical Expressions

If you like, you may view the Adding and Simplifying Radicals video:

http://youtu.be/egNq4tSfi1I

If you like, you may view the Subtracting and Simplifying Radicals video:

http://youtu.be/qH4IQfDD1Nw

Read pages 110 – 113 and try the “Check Your Understanding” questions on these pages.

Do exercises #4, 5, 7, 8, 9 and the multiple-choice questions on pages 114 - 119.

Section 2.4 Multiplying and Dividing Radical Expressions

Read pages 120 – 125 and try the “Check Your Understanding” questions on these pages.

Do exercises #3, 5 – 10, and the multiple-choice questions on pages 126 – 134.

If you like, you may view the Rationalizing the Denominator video:

http://youtu.be/gY5TvlHg4Vk

Section 2.3 and 2.4 Checkpoint 2

Do the “Self-Assess” on page 134.

Do Assess Your Understanding questions on pages 136 – 138 if you need extra practice.

Section 2.5 Solving Radical Equations

If you like, you may view the Solving Radical Equations video:

http://youtu.be/pFFoAGIEyJc

If you like, you may view the Applying Radical Equations 1 video:

http://youtu.be/U3JxFFdKCKM

Read pages 139 – 144 and try the “Check Your Understanding” questions on these pages.

Do exercises #2, 4 – 12, and the multiple-choice questions on pages 145 - 153.

Chapter 2 Study Guide/Review/Practice Test

Review pages 154 and 155 for the chapter test.

Do the Review on pages 156 – 161.

Do the Practice Test on pages 162 – 164.

Study for the Chapter 2 Test.

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

    test**

Chapter 3

Chapter 3 Solving Quadratic Equations

Section 3.1 Factoring Polynomial Expressions

If you like, you may view the following Factoring Quadratic Equations video at the Khan Academy:

http://youtu.be/eF6zYNzlZKQ

If you like, you may view the following Factoring Difference of Squares video

http://youtu.be/tvnOWIoeeaU

Read pages 170-175 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-7,9,11,12.15,16,18,19 and the two multiple-choice questions on pages 176-183.

Section 3.2 Solving Quadratic Equations by Factoring

If you like, you may view the following Solving a Quadratic Equation by Factoring video:

https://www.khanacademy.org/video/example-1-solving-a-quadratic-equation-by-factoring

If you like, you may view the following Dimensions from a Volume of Box video:

https://www.khanacademy.org/video/example-3-solving-a-quadratic-equation-by-factoring

Read pages 184-189 and try the “Check Your Understanding” questions on these pages.

Do exercises #4-20 and the two multiple-choice questions on pages 190-196.

Section 3.1 and 3.2 Checkpoint

Do the “Self-Assess” pages 197.

Do pages 197-199, exercises 1-9, if you need the practice.

Section 3.3 Using Square roots to solve Quadratic Equation

If you like, you may view the following Solving Quadratic Equations by Completing the Square video:

https://www.khanacademy.org/video/solving-quadratic-equations-by-completing-the-square

Read pages 200-205 and try the “Check Your Understanding” questions on these pages.

Do exercises #4, 5, 7-10, 12 and the two multiple-choice questions on pages 206-211.

Section 3.4 Developing and Applying the Quadratic Formula

If you like, you may view the following How to Use the Quadratic Formula video:

https://www.khanacademy.org/video/using-the-quadratic-formula

If you like, you may view the following Example 4: Applying the Quadratic Formula video:

https://www.khanacademy.org/video/application-problem-with-quadratic-formula

Read pages 212-216 and try the “Check Your Understanding” questions on these pages.

Do exercises #4-15 and the two multiple-choice questions on pages 217-226.

Section 3.5 Interpreting the Discriminant

If you like, you may view the following Example 3: Using the Quadratic Formula video: https://www.khanacademy.org/video/quadratic-formula-3

Read pages 228-231 and try the “Check Your Understanding” questions on these pages.

Do exercises #4-13 and the three multiple-choice questions on pages 232-238.

Fill in the Study notes on page 239.

Chapter 3 Study Guide/Review/Practice Test

Review pages 240 and 241 for the chapter test.

Do the Review on pages 242-244.

Do the Practice Test on pages 246-248.

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

    test**

Chapter 4

Chapter 4 Analyzing Quadratic Functions

Section 4.1 Properties of a Quadratic Function

If you like, you may view the following Graphing a Parabola with a Table of Values video at the Khan Academy:

https://www.khanacademy.org/video/graphing-a-quadratic-function

Read pages 250-256 and try the “Check Your Understanding” questions on these pages.

Do exercises #4-11 and the two multiple-choice questions on pages 257-261.

Section 4.2 Solving a Quadratic Equations Graphically-Math Lab

Do pages 263-265 and check your answers with the answer key found on our website.

Do “Assess Your Understanding” #1-5 on pages 265-267.

Section 4.3 Transforming the Graph of y = x² –Math Lab

Do pages 268-269 and check your answers with the answer key found on our website.

Do “Assess Your Understanding” #1-4 on pages 269-271.

Checkpoint 1

Do the “Self-Assess” pages 272

Do pages 272-275, exercises #1-9. (If you understand this section well, you will be able to do this exercise quickly.)

Section 4.4 Analyzing Quadratic Functions of the Form  y = a(x – p)² + q

Read pages 276-283 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-12 and the two multiple-choice questions on pages 284-290.

Section 4.5 Equivalent Forms of the Equation of a Quadratic Function

Read pages 291-294 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-10 and the two multiple-choice questions on pages 295-300.

Section 4.6 Analyzing Quadratic Functions of the Form   y = ax² +bx + c

If you like, you may view the following Completing the Square for Vertex Form video:

https://www.khanacademy.org/video/ex3-completing-the-square

If you like, you may view the following Rewriting a Quadratic Function to Find Roots and Vertex video:

https://www.khanacademy.org/video/rewriting-a-quadratic-function-to-find-roots-and-vertex

If you like, you may view the following Modelling and Solving Problems with Quadratic Fucntions video: (no need to watch the whole video-stop at 9:38)

http://youtu.be/meeNyvbgm3g

Read pages 301-305 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-13 and the three multiple-choice questions on pages 306-311.

Checkpoint 2

Do the “Self-Assess” pages 313

Do pages 313-317, exercises #1-9, if you need the practice.

Section 4.7 Modeling and Solving Problems with Quadratic Functions

Read pages 318-322 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-10 and the two multiple-choice questions on pages 318-327

Chapter 4 Study Guide/Review/Practice Test

Review pages 328 and 329 for the chapter test.

Do the Review on pages 330-335.

Do the Practice Test on pages 336-338.

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

    test**

Chapter 5

Chapter 5 Graphing Inequalities and Systems of Equations

Section 5.1 Solving Quadratic Inequalities in One Variable

If you like, you may view the following video:

http://youtu.be/t54ccHYVhoo

Read pages 340-345 and try the “Check Your Understanding” questions on these pages.

Do exercises #4-7, 10-15, and the two multiple-choice questions on pages 346-352.

Section 5.2 Graphing Linear Inequalities in Two Variables

If you like, you may view the following videos:

https://www.khanacademy.org/video/graphing-inequalities-1

https://www.khanacademy.org/video/graphing-inequalities-2

Read pages 354-359 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-8, 11-17, and the two multiple-choice questions on pages 360-368.

Section 5.3 Graphing Quadratic Inequalities in Two Variables

If you like, you may view the following video:

http://youtu.be/k5nw5pGpbGc

Read pages 369-373 and try the “Check Your Understanding” questions on these pages.

Do exercises #4-9, 11-16, and the three multiple-choice questions on pages 374-380.

Section 5.1 and 5.2 and 5.3 Checkpoint

Do the “Self-Assess” pages 382.

Do “Assess Your Understanding” questions on pages 383-385 if you need extra practice.

Section 5.4 Math Lab: Solving Systems of Equations Graphically

Read pages 386-387 and try Problems 1 and 2 on these pages.

Do questions #1-5 questions on pages 388-390.

Section 5.5 Solving Systems of Equations Algebraically

Read pages 391-396 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-7, 9-12, and the two multiple-choice questions on pages 397-405.

Chapter 5 Study Guide/Review/Practice Test

Review pages 406 and 407 for the chapter test.

Do the Review on pages 408-414.

Do the Practice Test on pages 415-418.

Study for the Chapter 5 Test.

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

    test.**

Chapter 6

Chapter 6 Trigonometry

Section 6.1 Angles in Standard Position in Quadrant 1

Read pages 426-430 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-8,11,12.14-16 and the two multiple-choice questions on pages 431-439.

Section 6.2 Angles in Standard Position in All Quadrants

Read pages 440-447 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-13, 16-21 and the two multiple-choice questions on pages 448-458.

Section 6.1 and 6.2 Checkpoint

Do the “Self-Assess” pages 460.

Do pages 461-464, exercises 1-9, if you need the practice.

Section 6.3 Math Lab: Constructing Triangles

Omit!

Section 6.4 The Sine Law

Read pages 470-477 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-7a, 9-12 and the two multiple-choice questions on pages 478-490.

Section 6.5 The Cosine Law

Read pages 491-497 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-12 and 14 and the two multiple-choice questions on pages 498-507.

Fill in the Study notes on page 508.

Chapter 6 Study Guide/Review/Practice Test

Review pages 508 and 509 for the chapter test.

Do the Review on pages 510-515.

Do the Practice Test on pages 516-520.

Study for the Chapter 6 Test.

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

    test**

Chapter 7

Chapter 7 Rational Expressions and Equations

Section 7.1 Equivalent Rational Expressions

Read pages 522-526 and try the “Check Your Understanding” questions on these pages.

Do exercises #4-8, 15, and the three multiple-choice questions on pages 527-532.

Section 7.2 Multiplying and Dividing Rational Expressions

Read pages 533-536 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-8, 11, 12, 15, and the two multiple-choice questions on pages 537-543.

Section 7.1 and 7.2 Checkpoint

Do the “Self-Assess” pages 545.

Do “Assess Your Understanding” questions on pages 545-548 if you need extra practice.

Section 7.3 Adding and Subtracting Rational Expressions with Monomial 

                   Denominators

Read pages 545-552 and try the “Check Your Understanding” questions on these pages.

Do exercises #3, 4-9, 11-13, and the two multiple-choice questions on pages 553-559.

Section 7.4 Adding and Subtracting Rational Expressions with Binomial and

                   Trinomial Denominators

Read pages 561-565 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-7, 10-14, and the three multiple-choice questions on pages 566-573.

Section 7.3 and 7.4 Checkpoint

Do the “Self-Assess” on page 575.

Do “Assess Your Understanding” questions on pages 575-577 if you need extra practice.

Section 7.5 Solving Rational Equations

Read pages 578-582 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-7, 9, 10, 12, and the two multiple-choice questions on pages 583-591.

Section 7.6 Applications of Rational Equations

Read pages 592-596 and try the “Check Your Understanding” questions on these pages.

Do exercises #3-13 and the two multiple-choice questions on pages 597-603.

Chapter 7 Study Guide/Review/Practice Test

Review pages 604 and 605 for the chapter test.

Do the Review on pages 606-609 .

Do the Practice Test on pages 610-612.

Study for the Chapter 7 Test.

**When you’re ready to write the Chapter 7 test, ask a teacher in the Lab for this

    test**

Chapter 8

Chapter 8 Absolute Value and Reciprocal Functions

Section 8.1 Absolute Value Functions

Read pages 614-619 and try the “Check Your Understanding” questions on these pages.

Do exercises #4, 7-10, 12, 15, and the three multiple-choice questions on pages 621-629.

Section 8.2 Solving Absolute Value Equations

Read pages 631-637 and try the “Check Your Understanding” questions on these pages.

Do exercises #4-11, 13, and the two multiple-choice questions on pages 638-646.

Section 8.1 and 8.2 Checkpoint

Do the “Self-Assess” on page 648.

Do “Assess Your Understanding” questions on pages 648-651 if you need extra practice.

Section 8.3 Graphing Reciprocals of Linear Functions

Read pages 652-656 and try the “Check Your Understanding” questions on these pages.

Do exercises #3, 5-7, 9, 11, 16, and the three multiple-choice questions on pages 657-665.

Section 8.4 Using Technology to Graph Reciprocals of Quadratic Functions – Math Lab

Do pages 667-670 and check your answers with the answer key found on our website.

Do “Assess Your Understanding” #1a-1d on page 671.

Section 8.5 Graphing Reciprocals of Quadratic Functions

Read pages 674-679 and try the “Check Your Understanding” questions on these pages.

Do exercises #3, 4, 6-8, 13, 15, 16, and the three multiple-choice questions on pages 680-689.

Chapter 8 Study Guide/Review/Practice Test

Review pages 690 and 691 for the chapter test.

Do the Review on pages 692-697.

Do the Practice Test on pages 698-700.

**When you’re ready to write the Chapter 8 test, ask a teacher in the Lab for this

    test**

Prepare for the Final Exam

Cumulative Review, Chapters 1-8

Do the Review questions on pages 701-712.

Study for the Final Test (chapters 1-8).

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

    test**