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MBF3C1 - Grade 11 Foundations for College Mathematics (Ontario, Canada - curriculum)
2012 - 2013 Course Resources

Textbook:  Pearson Math 11 © 2008

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 = ax2
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


MCR3UG - Grade 11 Functions, University Math (Ontario, Canada - curriculum)
2010 - 2011 Course Resources

Textbook:  Functions 11, Nelson © 2008

PREREQUISITE SKILLS

"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

Chapter 1: Introduction to Functions

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) 2f(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

 

Chapter 2: Equivalent Algebraic Expressions

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

 

Chapter 3: Quadratic Functions

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

 

Chapter 4: Exponential Functions

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

 

Chapter 5: Trigonometric Ratios

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

 

Chapter 6: Sinusoidal Functions

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

 

Chapter 7: Discrete Functions: Sequences and Series

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

 

Chapter 8: Discrete Functions: Financial Applications

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

 

MCR3UG - Grade 11 Functions, University Math (Ontario, Canada - curriculum)
2008 - 2009 Course Resources

**McGraw-Hill Textbook

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



MCF3M - Grade 11 University College Math (Ontario, Canada - curriculum)

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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