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Table of Contents
MATHEMATICS 11 - TEACHER RESOURCE
Introduction to Mathematics 11 Underlying Principles of the
Program How Mathematics 11 Addresses Key Curriculum Issues
- Managing the Use of One Resource for Two Courses
- Dealing with the Strands
- The Process of Inquiry
- Mathematical Modelling
- Teaching Approaches
- Independent Use of the Text by Students
- Contextual Learning
- Education for Exceptional Students
- The Role of Technology in the Curriculum
- English As a Second Language and English Literacy Development (ESL/ELD)
- Career Education
- Cooperative Education and Other Workplace Experiences
- Mathematics Anxiety
- Assessment
Using Mathematics 11 Flexible Course Sequence Suggested Teaching
Times Material Needed
Mathematics 11 - Special Features
- Review of Essential Skills and Knowledge
- Cumulative Review Tests
- Performance Tasks
- Technology Lessons
- Exploration Lessons
- Skill Builder Lessons
Mathematics 11 - Features of a Chapter
- Introduction
- The Chapter Problem
- The Challenges
- Getting Ready
Mathematics 11 - Structure of a Lesson
- Think, Do, Discuss
- Didactic Lessons
- Focus, Key Ideas
- Solved Examples
- Practise, Apply, Solve
- Other Features of a Lesson
Mathematics 11 - Chapter Review
- Check Your Understanding
- Review Organized by Lessons
- Chapter Summary
- Chapter Review Test
- Other Features of the Text
Teacher Resource - Chapter Introduction
- Chapter Overview
- Connections
- Getting Ready
- Assessment Organizer
Teacher Resource - Support for Each Lesson
- Introduction
- Specific Expectations / Evidence of Learning Chart
- Think, Do, Discuss
- Focus, Key Ideas
- Practise, Apply, Solve
Teacher Resource - Review and Assessment
- Chapter Review
- Sample Chapter Tests
- Performance Tasks
Teacher Resource - Additional Components
- Computerized Test Bank
- Solutions Manual
- CD-ROM featuring electronic version of the Teacher's Resource, Solutions
Manual and Student Text (included in the Teacher's Resource binder)
- On-line teacher support ancillaries from the Nelson Math Web site
Assessment and Evaluation
- Assessment, Evaluation, and Grading
- The Purpose of Assessment
- Expanding the Vision of Assessment in Mathematics
- Assessment Terminology
- Assessment Strategies and Tools
Assessment Issues in Ontario Grade 11 Mathematics
- Assessing Expectations
- How Mathematics 11 Helps
- Connecting to the Achievement Chart
- How Mathematics 11 Helps with the Assessment of Achievement
of Curriculum Expectations
- Assessing Learning Skills
- How Mathematics 11 Helps with the Assessment of Learning
Skills
- The Provincial Report Card
Developing a Balanced Assessment Program
- Assessment Using the Achievement Chart Categories
- Assessment of Learning Skills
Assessment Features in Mathematics 11
- Assessment Features in Each Chapter
- Performance Tasks in Mathematics 11
- How to Use the Performance Tasks
- Support for the Performance Tasks
- Suggestions for Carrying Out the Performance Tasks
- Individual Work
- Cooperative Group Work
- Group Work for the Purpose of Collecting and Sharing Data
- Breaking a Performance Task into Stages
- How to Assess the Performance Tasks
Assessment References and Resources
Assessment Blackline Masters
- Assessment of Curriculum Expectations Using the Achievement Chart
Categories
- Generic Rubric for Knowledge and Understanding
- Generic Rubric for Application
- Generic Rubric for Thinking, Inquiry, and Problem Solving
- Generic Rubric for Communication
- Generic Rubric for Chapter Problems
- Mathematics Problem Solving Worksheet
- Review Problems Evaluation Sheet
- Problem Solving Checklist Self-Assessment
Assessment of Learning Skills
- Generic Rubrics for Learning Skills
- Group Participation: Peer-Assessment
- Learning Skills Tracking Sheet
- Work Habits Self-Reflection Sheet
- Teamwork Self-Reflection Sheet
- Initiative Self-Reflection Sheet
- Independence Self-Reflection Sheet
- Learning Skills Self-Evaluation Sheet
Teaching Notes and Suggestions
Chapter 1: Patterns of Growth: Sequences
1.1
1.2
1.3 U
1.4
1.5
1.6
1.7
1.8
1.9
1.10
1.11 |
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Exploring Patterns and Sequences
Technology: TI-83 Plus Calculator: Generating the Terms of
a Sequence
Sequences and Recursive Formulas
Technology: TI-83 Plus Calculator: Graphing Sequences
Exploration: Investigating Ways of Cutting "Vegetables"
Arithmetic Sequences
Geometric Sequences
Compound Interest: Amount and Present Value
Rational Exponents
Simplifying Expressions Involving Exponents
Solving Exponential Equations |
Chapter 1 Check Your Understanding
(answers)
Chapter 1 Test
Chapter 1 Test Solutions and Scoring Guide
Chapter 1 The Chapter Problem (questions and answers)
Chapter 1 Challenge 1 and 2, Solution Guides and Rubrics |
Chapter 2: Series and Financial Applications
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.10
2.11
2.12 |
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Arithmetic Series
Exploration: Investigating a Sequence Using the TI-83 Plus
Calculator and the TI Calculator-Based Ranger (CBR)
Geometric Series
Technology: Using a Spreadsheet to Represent the Value of
a Deposit
Future Value and Amortization Tables
Technology: TI-83 Plus Calculator: Finding the Sum and the
Cumulative Sum of a Series
Using Series to Analyze Financial Situations: Future Value
Using Series to Analyze Financial Situations: Present Value
Technology: TI-83 Plus Calculator: Analyzing Financial Situations
Using the TVM Solver
Equivalent Rates and General Annuities
Technology: TI-83 Plus Calculator: Creating Repayment Schedules
Using Technology to Analyze Canadian Mortgages |
Chapter 2 Check Your Understanding (answers)
Chapter 2 Test
Chapter 2 Test Solutions and Scoring Guide
Chapter 2 The Chapter Problem (questions and answers)
Chapter 2 Challenge 1 and 2, Solution Guides and Rubrics |
Chapter 3: Introducing Functions
3.1
3.2
3.3
3.4
3.5
3.6
3.7 |
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Exploration: Investigating A Special Relationship
Functions: Concept and Notation
Skill Builder - Solving Inequalities
The Inverse Function
Technology: TI-83 Plus Calculator: Graphing Functions and
Inverse Functions
Investigating Properties of Inverse Functions
Transformations and Function Notation |
Chapter 3 Check Your Understanding
(answers)
Chapter 3 Test
Chapter 3 Test Solutions and Scoring Guide
Chapter 3 The Chapter Problem (questions and answers)
Chapter 3 Challenge 1 and 2, Solution Guides and Rubrics |
Chapter 4: Quadratic and Rational Functions
4.1
4.2
4.3
4.4
4.5 U
4.6
4.7
4.8
4.9
4.10 U
4.11
4.12 |
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Skill Builder: Extending Algebra Skills: Completing
the Square
Maximum and Minimum Values of Quadratic Functions
Zeros of Quadratic Functions
Introducing Complex Numbers
Skill Builder: Adding, Subtracting, and Multiplying Complex
Numbers
Reciprocal Functions
Technology: TI-83 Plus Calculator: Exploring the Behaviour
of Functions Near the Asymptotes
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Skill Builder: Dividing Complex Numbers
Adding and Subtracting Rational Expressions
Skill Builder: Extending Algebra Skills: Working with Polynomials
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Chapter 4 Check Your Understanding
(answers)
Chapter 4 Test
Chapter 4 Test Solutions and Scoring Guide
Chapter 4 The Chapter Problem (questions and answers)
Chapter 4 Challenge 1 and 2, Solution Guides and Rubrics |
Chapter 5: Modeling Periodic Functions
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
5.10 |
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Periodic Phenomena
Skill Builder: Understanding Angles
Trigonometric Functions
Radian Measure
Technology: TI-83 Plus Calculator: Graphing Trigonometric
Functions
Investigating Transformations
Modelling Periodic Phenomena
Solving Linear Trigonometric Equations
Technology: TI-83 Plus Calculator: Using Sinusoidal Regression
to Find the Curve of Best Fit
Technology: Using Digital Probes to Collect Periodic Data |
Chapter 5 Check Your
Understanding (answers)
Chapter 5 Test
Chapter 5 Test Solutions and Scoring Guide
Chapter 5 The Chapter Problem (questions and answers)
Chapter 5 Challenge 1 and 2, Solution Guides and Rubrics |
Chapter 6: Extending Skills With Trigonometry
6.1
6.2
6.3
6.4
6.5
6.6 |
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Extending Trigonometry Skills with Oblique Triangles
Solving Trigonometry Problems in Two and Three Dimensions
Skill Builder: Using Special Triangles to Determine Exact
Values
Exploration: Investigating Identical Expressions
Skill Builder: Trigonometric Identities
Skill Builder: Solving Quadratic Trigonometric Equations |
Chapter 6 Check Your Understanding
(answers)
Chapter 6 Test
Chapter 6 Test Solutions and Scoring Guide
Chapter 6 The Chapter Problem (questions and answers)
Chapter 6 Challenge 1 and 2, Solution Guides and Rubrics |
Chapter 7: Investigating Loci and Conics
7.1U
7.2U
7.3U
7.4U
7.5U
7.6U
7.7U
7.8U
7.9U
7.10U
7.11U |
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Introducing Locus Definitions
Revisiting the Circle
Technology: TI-83 Plus Calculator: Graphing Circles
The Ellipse
Exploration: Waxed-Paper Models
The Parabola
Exploration: Reflective Properties of Conics
Technology: Graphing Conics Using Technology
The Hyperbola
The General Form of Conics
When Lines Meet Conics |
Chapter 7 Check Your
Understanding (answers)
Chapter 7 Test
Chapter 7 Test Solutions and Scoring Guide
Chapter 7 The Chapter Problem (questions and answers)
Chapter 7 Challenge 1 and 2, Solution Guides and Rubrics |
Performance Tasks
Performance Tasks for Part 1: Financial Applications of
Sequences and Series
Performance Tasks for Part 2: Functions
Performance Tasks for Part 3: Trigonometric Functions
Performance Tasks for Part 4: Loci and Conics
Technology Appendices
Appendix 1: Using The Geometer's Sketchpad
- Quick Tips for Use with The Geometer's Sketchpad
- Commands on the Menu Bar
- Objects that Must be Selected for Each Construction
- Objects that Must be Selected for Each Measurement
- Using the Calculator
- Construction Help
Appendix 2: Internet Sites for Teachers
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