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Math 11

This course is intended for those students with a solid foundation in mathematics and who plan to attend university. In this course, students will develop their understanding of symbol manipulation and generalizations of more sophisticated mathematical concepts. Topics covered include: quadratic functions, polynomial functions, rational functions, analysis of equations and inequalities, geometry properties, and coordinate geometry.

COURSE OUTLINE

UnitTopicsChapterMonth
Unit 1:
Linear Systems
  • Review of Linear Functions & Introduction to the TI-83 Graphing Calculator
  • 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
 Chapter 5 September - October
Unit 2:
Quadratics
  • TI-83 Lab: Graphing a Function
  • 2.1: Graphs of Quadratic Functions
  • 2.2: Modeling Real Situations using Quadratic Functions
  • 2.3: Graphing
  • 2.4: Graphing
  • 2.5: Maximum and Minimum Problems
  • 4.1: Solving Quadratic Equations by Using a Formula
  • 4.2: The Nature of Roots of a Quadratic Equation
 Chapters 2 & 4 October - November
Unit 3:
Polynomials
  • 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
  • 4.3: The Remainder Theorem
  • 4.4: The Factor Theorem
  • 4.5: Solving Polynomial Inequalities
 Chapter 3 & 4 December - January
MID TERM EXAM (UNIT 1 - 3) January
Unit 4:
Functions & Equations
  • Some Functions and Their Graphs
  • 2.6: The Inverse of a Linear Function
  • 2.7: The Inverse of a Quadratic Function
  • 2.9: Composition of Functions
  • 3.6: Reciprocal Functions
  • 3.7: Rational Functions
  • 3.8: Modelling Real Situations Using Rational Functions
  • 4.6: Solving Rational Equations and Inequalities
  • 4.7: Solving Radical Equations and Inequalities
  • 4.8: Solving Absolute Value Equations and Inequalities
 Chapters 2, 3 & 4 February - March
Unit 5:
Circle Geometry
  • 7.1: Circle Concepts
  • 7.2: Investigating Properties of Chords
  • 7.4: Investigating Properties of Angles in a Circle
  • 8.1: Investigating Cyclic Quadrilaterals
  • 8.3: Investigating Tangents to a Circle
  • 8.5: The Tangent-Chord Theorem
  • Using Circle Geometry to Solve Problems
 Chapter 7 & 8 March - April
Unit 6:
Coordinate Geometry
  • 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
 Chapter 9 May
FINAL EXAM (UNIT 1 - 6) June

MARKS DISTRIBUTION:

Interim ReportTerm 1 ReportFINAL GRADE
Tests/Quizzes 90% Tests/Quizzes 65% Cummulative Mark 80%
Homework/Notebook 10% Homework/Notebook 10% Final Exam 20%
Exam 25%

 

COURSE EXPECTATIONS