Principles
of Math 11 (Revised January 2002)
Course Outline
Outline
of Lessons (based on 72 classes)
Chapter
1 Mathematics of Finance (4 classes)
1.1 Savings and Credit: Simple Interest
1.2 Compound Interest
1.3 Compounding Periods Less than One Year
1.4 Comparing Financial Options
1.9 Investigating Mortgages
Review/Test
Chapter
2 Quadratic Functions (9 classes)
2.1 Graphs of Quadratic Functions
2.2 Modeling Real Situations Using Quadratic
Functions
2.3 Graphing
y = a (x-p)2 + q
2.4 Graphing
y = ax2 + bx +c
2.5 Maximum and Minimum Problems
2.6 The Inverse of a Linear Function
2.7 The Inverse of a Quadratic Function
Review/Test
Chapter
3 Polynomial and Rational Functions (12
classes)
3.1 Polynomial Functions
3.2 Properties of the Graphs of Polynomial
Functions
3.3 Relating Polynomial Functions and Equations
3.4 Solving Polynomial Equations
3.5 Modeling Real Situations Using Cubic
Functions
3.6 Reciprocal Functions
3.7 Rational Functions
3.8 Modelling Real Situations Using Rational
Functions
3.9 Composition of Functions
Review/Test
Chapter
4 Analysis of Equations and Inequalites (11 classes {3 + 8})
4.1 Solving Quadratic Equations by Using a Formula
4.2 The Nature of the Roots of a Quadratic
Equation
Cummulative
Review
Term 1
Test
4.3 The Remainder Theorem
4.4 The Factor Theorem
4.5 Solving Polynomial Inequalities
4.6 Solving Rational Equations and Inequalities
4.7 Solving Radical Equations and Inequalities
4.8 Solving Absolute-Value Equations and
Inequalities
Review/Test
Chapter
5 Systems of Equations and Inequations (9 classes)
5.1 Solving Systems of Equations by Graphing
5.2 Solving Linear Systems by Addition or
Subtraction
5.3 Number of Solutions of a Linear System
5.4 Solving Systems by Substitution
5.5 Problems Involving Linear Systems
5.6 Solving Linear Systems in Three Variables
5.7 Graphing Linear Inequalities in Two Variables
5.8 Graphing Systems of Linear Inequalities
Review/Test
Chapter
6 Reasoning and Geometry (8 classes)
6.1 Inductive Reasoning
6.2 Deductive Reasoning
6.3 Conjectures and Counterexamples
6.4 Statements involving "and" , "or" , "not"
6.5 Statements involving "If
... then"
6.6 Congruent Triangles
6.7 Indirect Proof
Test
Chapter
7 & 8 Properties of Angles and Chords and Other Circle Properties (7
classes)
7.1 Circle Concepts
7.2 Investigatin Properties of Chords
7.3 Proving the Chord Properties
7.4 Investigating Propeties of Angles in a Circle
7.5 Proving the Angle Properties
8.1 Investigating Cyclic Quadrilaterals
8.2 Proving Properties of Cyclic Quadrilaterals
8.3 Investigating Tangents to a Circle
8.4 Proving the Tangent Properties
8.5 The Tangent-Chord Theorem
8.6 Angles and Polygons
*textbook
will be supplemented by Ray Mickelson's Geometry Package
Review/Test
Chapter
9 Coordinate Geometry and Trigonometry (10 classes)
9.1 The Equation of a Circle
9.2 Problems Involving Circles and Lines
9.3 Problems Involving Points and Lines
9.4 Using Coordinates to Verify Conjectures
9.5 Using Coordinates to Prove Conjectures
### Review of Trigonometry/Constructing Triangles
Using Side/Side/Angle
### The Law of Sines: The Ambiguous Case/ The
Ambiguous Case and the Law of Cosines
Review/Test
### Department
produced mini lesson on topic
Cummulative
Review
Term 2
Test
Final
Exam
_______________________________________________________________________
Mark
Breakdown:
Term 1 Term 2
Homework 10 % Homework 10 %
Quizzes 20 % Quizzes 20 %
Unit
Exams 45 % Unit Exams 45 %
Term
Exam 25 % Term Exam 25 %
Overall:
Term 1 40 %
Term 2 40 %
Final Exam 20 %