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An edition of McGraw-Hill Ryerson mathematics 11 (2001)

McGraw-Hill Ryerson mathematics 11

by George Knill

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An edition of McGraw-Hill Ryerson mathematics 11 (2001)

McGraw-Hill Ryerson mathematics 11

by George Knill

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Publish Date

2001

Publisher

McGraw-Hill Ryerson

Language

English

Pages

828

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Previews available in: English

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Book Details

Table of Contents

A Tour of Your Textbook

Page x

Chapter 1. Algebraic Tools for Operating With Functions

Specific Expectations

Page xx

Modelling Math: Modelling Problems Algebraically

Getting Started: Frequency Ranges, Review of Prerequisite Skills

1.1. Reviewing the Exponent Laws

1.3. Rational Exponents

1.3. Solving Exponential Equations

Technology Extension: Solving Exponential Equations With a Graphing Calculator

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

Technology Extension: Rational Expressions and the Graphing Calculator

1.9. Solving First-Degree Inequalities

Technology Extension: Solving Inequalities With a Graphing Calculator

Investigate & Apply: Modelling Restrictions Graphically

Review of Key Concepts

Challenge Problems

Problem Solving Strategy: Model and Communicate Solutions

Problem Solving: Using the Strategies

Chapter 2. Quadratic Functions and Equations

Specific Expectations

Modelling Math: Measurements of Lengths and Areas

Getting Started: Store Profits, Review of Prerequisite Skills

2.1. The Complex Number System

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

2.3. Solving Quadratic Equations

Technology Extension: Solving Quadratic Equations

2.4. Tools for Operating With Complex Numbers

Technology Extension: Radical Expressions and Graphing Calculators

2.5. Operations With Complex Numbers in Rectangular Form

Investigate & Apply: Interpreting a Mathematical Model

Review of Key Concepts

Challenge Problems

Problem Solving Strategy: Look for a Pattern

Problem Solving: Using the Strategies

Cumulative Review: Chapters 1 and 2

Chapter 3. Transformations of Functions

Specific Expectations

Modelling Math: Falling Objects

Getting Started: Human Physiology, Review of Prerequisite Skills

3.2. Investigation: Properties of Functions Defined by $f(x) = \sqrt{x}$ and $f(x) = \frac{1}{x}$

3.3. Horizontal and Vertical Translations of Functions

3.4. Reflections of Functions

3.5. Inverse Functions

3.6. Stretches of Functions

3.7. Combinations of Transformations

Investigate & Apply: Frieze Patterns

Review of Key Concepts

Challenge Problems

Problem Solving Strategy: Solve Rich Estimation Problems

Problem Solving: Using the Strategies

Chapter 4. Trigonometry

Specific Expectations

Modelling Math: Ship Navigation

Getting Started: Parallactic Displacement, Review of Prerequisite Skills

4.1. Reviewing the Trigonometry of Right Triangles

4.2. The Sine and the Cosine of Angles Greater Than 90°

4.3. The Sine Law and the Cosine Law

Technology Extension: Using The Geometer's Sketchpad to Explore the SSA Case

4.4. The Sine Law: The Ambiguous Case

Investigate & Apply: The Cosine Law and the Ambiguous Case

Review of Key Concepts

Challenge Problems

Problem Solving Strategy: Use a Diagram

Problem Solving: Using the Strategies

Cumulative Review: Chapters 3 and 4

Chapter 5. Trigonometric Functions

Specific Expectations

Modelling Math: Ocean Cycles

Getting Started: Daylight Hours, Review of Prerequisite Skills

5.1. Radians and Angle Measure

5.2. Trigonometric Ratios of Any Angle

Extension: Positive and Negative Angles of Rotation

5.3. Modelling Periodic Behaviour

5.4. Investigation: Sketching the Graphs of f(x) = sin x, f(x) = cos x, and f(x) = tan x

5.5. Stretches of Periodic Functions

5.6. Translations and Combinations of Transformations

Technology Extension: Sinusoidal Regression

5.7. Trigonometric Identities

5.8. Trigonometric Equations

Investigate & Apply: Modelling Double Helixes

Review of Key Concepts

Challenge Problems

Problem Solving Strategy: Solve a Simpler Problem

Problem Solving: Using the Strategies

Chapter 6. Sequences and Series

Specific Expectations

Modelling Math: The Motion of a Pendulum

Getting Started: Exploring Sequences, Review of Prerequisite Skills

6.2. Arithmetic Sequences

6.3. Geometric Sequences

6.4. Recursion Formulas

6.5. Arithmetic Series

6.6. Geometric Series

Investigate & Apply: Relating Sequences and Systems of Equations

Review of Key Concepts

Challenge Problems

Problem Solving Strategy: Guess and Check

Problem Solving: Using the Strategies

Cumulative Review: Chapters 5 and 6

Chapter 7. Compound Interest and Annuities

Specific Expectations

Modelling Math: Making Financial Decisions

Getting Started: Comparing Costs, Review of Prerequisite Skills

7.1. Investigation: Simple Interest, Arithmetic Sequences, and Linear Growth

7.2. Compound Interest

7.3. Investigation: Compound Interest, Geometric Sequences, and Exponential Growth

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

Investigate & Apply: The Cost of Car Ownership

Review of Key Concepts

Challenge Problems

Problem Solving Strategy: Use Logic

Problem Solving: Using the Strategies

Chapter 8. Loci and Conics

Specific Expectations

Modelling Math: Motion in Space

Getting Started: Communications Satellites, Review of Prerequisite Skills

8.1. Technology: Constructing Loci Using The Geometer's Sketchpad

8.2. Equations of Loci

8.3. Technology: Loci and Conics

8.4. The Circle

8.5. The Ellipse

8.6. The Hyperbola

8.7. The Parabola

8.8. Conic Sections With Equations in the Form $ax^2 + by^2 + 2gx + 2fy + c = 0$

8.9. Intersections of Lines and Conics

Investigate & Apply: Confocal Conics

Review of Key Concepts

Challenge Problems

Problem Solving Strategy: Use a Data Bank

Problem Solving: Using the Strategies

Cumulative Review: Chapters 7 and 8

Appendix A. Review of Prerequisite Skills

Appendix B. Graphing Calculator Keystrokes

Appendix C. Computer Software

Technology Index

Edition Notes

Includes index.

CD-ROM c2002.

Approved for use in Ontario schools 2001, Grade 11 Mathematics, University preparation.

Title on copy 4 front cover: McGraw-Hill Ryerson Mathematics 11, Examination copy.

CR

ALM

Published in: Whitby, Ont
Genre: Problems, exercises, etc.
Other Titles: Mathematics 11, Mathematics eleven, McGraw-Hill Ryerson mathematics eleven, Algebraic tools for operating with functions.

Classifications

Dewey Decimal Class: 515/.1
Library of Congress: QA39.2 .M3214 2001

The Physical Object

Pagination: xix, 828 p. :
Number of pages: 828

ID Numbers

Open Library: OL20020046M
Internet Archive: mcgrawhillryerso0000unse_d3o2
ISBN 10: 0075529106, 0070896747
Library Thing: 3540634
Goodreads: 828684

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