2012 - 2013 Course Resources

__Chapter 1: Trigonometry__

1.1 Sides of Right Triangles - pg7

page 9 question 3a ... solution notes download

page 11 question 6 ... solution notes download

1.2 Angles in Right Triangles - pg13

page 15 question 1b ... solution notes download

page 16 question 5 ... solution notes download

page 16 question 6a ... solution notes download

1.4 Applying the Sine Law - pg23

page 27 question 9a ... solution notes download

1.6 Applying the Cosine Law - pg33

page 36 question 4 ... solution notes download

page 37 question 5a ... solution notes download

page 37 question 8 ... solution notes download

page 38 question 9 ... solution notes download

page 38 question 10 ... solution notes download

1.7 The Sine Law and the Cosine Law - pg39

page 42 question 1 - side b ... solution notes download

page 42 question 1 - angle D ... solution notes download

page 42 question 2a ... solution notes download

Chapter 1 Review - pg45 to pg48

page 46 question 5 ... solution notes - page 1 download page 2 download

__Chapter 3: Quadratic Relations__

3.1 Modelling Quadratic Relations

3.2 Graphing Quadratic Relations

3.3 The Role of "h" and "k" in ... ... y = (x - h)^{2} + k

... page 114 question 1a ... solution notes - page 1 download | page 2 download

... page 114 question 1b ... solution notes - download

3.4 The role of "a" in ... ... y = ax^{2}

3.5 The Vertex Form of a Quadratic Relation

Different forms of a Quadratic Relation: 1) Standard Form; 2) Factored Form; and 3) Vertex Form ... general form templates download

Mid-Chapter Review (lesson 3.1 to 3.5)

... page 126 question 1a ... solution notes - download

... page 126 question 1b ... solution notes - download

... page 126 question 2 ... solution notes - original question download | page 1 download | page 2 download

... page 126 question 4 ... solution notes - original question download | question 4a) download | question 4b) download

... page 126 question 5 ... original question download | solution notes download

3.6 Multiplying Polynomials

3.7 Factoring Trinomials using Models

3.8 Factoring Polynomials

... page 137 question 1a ... solution notes - download

... page 137 question 5b ... solution notes - download

3.9 The Factored Form of a Quadratic Relation

Chapter 3 Review

... page 145 question 11abc ... solution notes - download

Chapter 3 Practice Test

... page 146 question 5 ... solution notes - part a download | part b download | part c download

__Chapter 4: Exponential Relations__

Review Questions - Friday April 26

page 200 question 6a ... solution notes download

page 200 question 6b ... solution notes download

page 200 question 16a ... solution notes download

page 200 question 16b ... solution notes download

page 202 question 6a ... solution notes download question 6b download

__Chapter 5: Saving and Investing Money__

Simple Interest

page 252 question 1ab ... solution notes download

page 252 question 1cd ... solution notes download

Compound Interest, Present Value

page 252 question 3a ... solution notes download

page 253 question 12 ... solution notes download

__Chapter 7: __

7.1 Organizing and Representing Data

page 299 question 2 ... solution notes download

2010 - 2011 Course Resources

"Review of Prerequisite Skills" worksheet - page 3

question 7) Solve quadratic equations by factoring. Solve by factoring. Check your solutions.question 7c ... solution notes and explanation download

Getting Started

1.1 Relations and Functions

1.2 Function Notation

page 24 sample questions 14, 15, and 17 ... solution notes and explanations ... download

> question 14 ... Write a function to model the arch.

>>question 15
... a) Graph the function *f*(x) = 3(x
- 1)^{2} - 4

b) What does *f*(-1) represent
on the graph? Indicate on the graph how you would find *f*(-1).

c) Use the equation to determine ii) 2*f*(3) - 7

>>> question 17
... Let *f*(x) = 3x + 1 and *
g*(x) = 2 - x. Determine
values for "a" such that a) *f*(a) =
*g*(a)

1.3 Exploring Properties of Parent Functions

1.4 Determining the Domain and Range of a Function

"A ball is thrown upward from the roof of a 25 m building.

The ball reaches a height of 45 m above the ground after 2 s and hits the ground 5 s after being thrown."

a) Sketch a graph that shows the height of the ball as a function of time.

b) State the domain and range of the function.

c) Determine an equation for the function.

>>> page 37 question 10 ... solution notes and explanation ... download

Mid-Chapter Review

"A farmer has 600m of fencing to enclose a rectangular area and divide it into three sections..."

>>> page 40 question 7 ... solution notes and explanation ... download

1.5 The Inverse Function and Its Properties

1.6 Exploring Transformations of Parent Functions

1.7 Investigating Horizontal Stretches, Compressions, and Reflections

1.8 Using
Transformations to Graph Functions of the Form *y* = *af*[*k*(*x*
- *d*)] + *c*

Chapter Review

>>> Determine the value of "x" when f(x) = g(x) ... page 76 question 4f ... solution notes and explanation ... download

Chapter Self-Test

2.1 Adding and Subtracting Polynomials

2.2 Multiplying Polynomials

2.3 Factoring Polynomials

2.4 Simplifying Rational Functions

2.5 Exploring Graphs of Rational Functions

2.6 Multiplying and Dividing Rational Expressions

2.7 Adding and Subtracting Rational Expressions

Chapter Review

Chapter Self-Test

3.1 Properties of Quadratic Functions

3.2 Determining Maximum and Minimum Values of a Quadratic Function

3.3 The Inverse of a Quadratic Function

3.4 Operations with Radicals

Mid-chapter review

3.5 Quadratic Function Models: Solving Quadratic Equations

3.6 The Zeros of a Quadratic Function

3.7 Families of Quadratic Functions

3.8 Linear�Quadratic Systems

Chapter Review

Chapter Self-Test

4.1 Exploring Growth and Decay

4.2 Working with Integer Exponents

4.3 Working with Rational Exponents

4.4 Simplifying Algebraic Expressions Involving Exponents

4.5 Exploring the Properties of Exponential Functions

4.6 Transformations of Exponential Functions

4.7 Applications Involving Exponential Functions

Chapter Review

Chapter Self-Test

5.1 Trigonometric Ratios of Acute Angles

5.2 Evaluating Trigonometric Ratios for Special Angles

5.3 Exploring Trigonometric Ratios for Angles Greater than 90�

5.4 Evaluating Trigonometric Ratios for Any Angle Between 0� and 360�

5.5 Trigonometric Identities

5.6 The Sine Law

5.7 The Cosine Law

5.8 Solving Three-Dimensional Problems by Using Trigonometry

Chapter Review

Chapter Self-Test

6.1 Periodic Functions and Their Properties

6.2 Investigating the Properties of Sinusoidal Functions

6.3 Interpreting Sinusoidal Functions

6.4 Exploring Transformations of Sinusoidal Functions

6.5 Using Transformations to Sketch the Graphs of Sinusoidal Functions

6.6 Investigating Models of Sinusoidal Functions

6.7 Solving Problems Using Sinusoidal Models

Chapter Review

Chapter Self-Test

7.1 Arithmetic Sequences

7.2 Geometric Sequences

7.3 Creating Rules to Define Sequences

7.4 Exploring Recursive Sequences

7.5 Arithmetic Series

7.6 Geometric Series

7.7 Pascal's Triangle and Binomial Expansions

Chapter Review

Chapter Self-Test

8.1 Simple Interest

8.2 Compound Interest: Future Value

8.3 Compound Interest: Present Value

Mid-Chapter Review

page 503 question 6 and question 9 ... solution notes download

8.4 Annuities: Future Value

page 512 question 10 ... solution notes download

8.5 Annuities: Present Value

page 521 question 6 ... solution notes download>>> page 521 question 10 ... solution notes download

8.6 Using Technology to Investigate Financial Problems

Chapter Review

Chapter Self-Test

2008 - 2009 Course Resources

__Unit 1 - Algebraic Tools for Operating with Functions__

1.1 Review Exponent Laws

1.2 Rational Exponents

1.3 Solving Exponential Equations

1.4 Review Adding, Subtracting and Multiplying Polynomials

1.5 Simplifying Rational Expressions

1.6 Multiplying and Dividing Rational Expressions

1.7 Adding and Subtracting Rational Expressions I

1.8 Adding and Subtracting Rational Expressions II

SAMPLE SOLUTIONS

page 25 question 17a download

page 25 question 18 download

page 25 question 19a, 19b download

page 25 question 21 download

page 85 question 1g, 1i download

page 85 question 5d download

page 86 question 8 download

page 86 question 10c download

page 86 question 10f download

page 86 question 11a download

page 86 question 11b download

page 87 question 18a download

page 87 question 21c download

page 87 question 21g download

page 87 question 22 download

page 90 question 2e download

page 90 question 3 download

__Unit 2: Quadratic Functions and Equations__

2.1 The Complex Number System

2.2 Maximum or Minimum of a Quadratic Function by Completing the Square

2.3 Solving Quadratic Equations

- Factoring & Quad formula

- Roots of a Quadratic Equation

- Solving problems involving Linear & Quadratic relations. (graphically & algebraically)

- Application problems

2.4 Tools for Operating with Complex Numbers

2.5 Operations with Complex Numbers in Rectangular Form

SAMPLE SOLUTIONS

page 106 question 1g download

page 106 question 1i download

page 107 question 2 and 3 download

page 107 question 7 download

page 117 question 10 download

page 118 question 19a download

page 118 question 19b download

page 118 question 19cd download

page 119 question 21 download

page 139 question 1 and 3 download

__Unit 3 : Transformations of Functions__

3.1 Functions

3.2 Investigation: Properties of Reciprocal Functions and Square-Root Functions

3.3 Horizontal and Vertical Translation

3.4 Reflections of Functions

3.5 Inverse Functions

3.6 Stretches of Functions

3.7 Combinations of Transformations

Exponential Functions

Transformations of Exponential Functions

__Unit 4: Trigonometry__

Intro to Trigonometric Ratios and Reciprocal Trigonometric Ratios

SOH CAH TOA

4.1 Reviewing the Trigonometry of Right Triangles

4.2 The Sine and The Cosine of Angles greater than 900

4.3 The Sine and Cosine Laws

4.4 The Sine Law: The Ambiguous Case

__Unit 5: Trigonometric Functions__

5.2 Trigonometric Ratios of any angle

5.4 Investigation: Sketching the graphs of:

� f(x) = sin x

� f(x) = cos x

� f(x) = tan x

5.5 Stretches of Periodic Functions

5.6 Translations and Combinations of Transformations

5.7 Trigonometric Identities

__Unit 6: Sequences and Series__

6.1 Sequences

6.2 Arithmetic Sequences

6.3 Geometric Sequences

6.4 Recursion Formula (Fibonacci Sequence)

Pascal�s Triangle and expansion of Binomials

6.5 Arithmetic Series

6.6 Geometric Series

__Unit 7: Compound Interest and Annuities__

7.1 Simple Interest

7.2 Compound Interest

7.3 Comparing simple and compound interest

7.4 Present Value

7.5 Amount of an Ordinary Annuity

7.6 Present Value of an Ordinary Annuity

7.7 Technology: Amortization Tables and Spreadsheets

Unit 1 and 2 Overviews download

__Unit 4: Quadratic Functions__

The Direction and Shape of a Parabola - Unit 4 Introduction Notes download

Finding the Zeros by factoring quadratics, extra practice download

Modelling Quadratics - Sample Word Problem - worksheet 11 question 12 download

Transformations of Quadratics download

Unit 4 work log download

__Unit 5: Trigonometry__

__Unit 8: Personal Finance__

Amortization Table Template download

__Course Review (Exam Prep)__

Review Worksheets download

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