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Pre-Calculus 12 2016

Important Information

Course Outline
Ministry of Education Math Pre-Calculus 12 curriculum (2008)

Link to recommended practice from the textbook.

Course Calendar

 

 
 

Chapter 1 – Transformations and Functions

By the end of this chapter, you will be able to…

  • 1A – translate the graphs of functions
  • 1B – reflect the graphs of functions
  • 1C – expand or compress the graphs of functions
  • 1D – transform the graph of functions by combining translations, reflections, expansions, or compressions
  • 1E – graph the inverse of a function

 

Chapter 2 – Radical Functions

By the end of this chapter, you will be able to…

  • 2A – graph the function y = SQRT(x)
  • 2B – state the domain and range of a radical function
  • 2C – transform the graph of a radical function by combining translations, reflections, and expansions
  • 2D – determine the restrictions of a radical equation
  • 2E – solve radical equations
  • 2F – apply radical equations to solve problems

 

Chapter 3 – Polynomial Functions

By the end of this chapter, you will be able to…

  • 3A – define a polynomial function
  • 3B – determine the properties of polynomial functions
  • 3C – divide polynomials using synthetic division
  • 3D – use the Remainder Theorem to determine remainder in a polynomial division statement
  • 3E – use the Factor Theorem to determine factors of a polynomial expression
  • 3F – sketch the graph of a polynomial function

 

Chapter 4 – Trigonometry and the Unit Circle

By the end of this chapter, you will be able to…

  • 4A – convert degree measures to radian measures and vice versa
  • 4B – understand the nature of sine, cosine, and tangent functions using the unit circle
  • 4C – solve trigonometric equations with and without graphing calculators

 

 

Chapter 5 – Trigonometric Functions and Graphs

By the end of this chapter, you will be able to…

  • 5A – understand the nature of a periodic graph
  • 5B – graph the sine, cosine, and tangent functions using radians
  • 5C – determine the period, amplitude, range, and domain of the trigonometric functions
  • 5D – apply transformation techniques to sketch trigonometric graphs
  • 5E – use graphing calculators to investigate transformations on the trigonometric functions

 

Chapter 6 – Trigonometric Identities

By the end of this chapter, you will be able to…

  • 6A – recognize and apply the Pythagorean, reciprocal, and quotient identities
  • 6B – recognize and apply the sum and difference identities
  • 6C – recognize and apply the double angle identities
  • 6D – solve trigonometric equations using trigonometric identities

 

Chapter 7 – Exponential Functions

By the end of this chapter, you will be able to…

  • 7A – describe the characteristics of an exponential function
  • 7B – describe the characteristics of the graph of an exponential function
  • 7C – transform the graph of exponential functions by combining translations, reflections, and expansions
  • 7D – solve exponential equations

 

Chapter 8 – Logarithmic Functions

By the end of this chapter, you will be able to…

  • 8A – graph and analyze logarithmic functions
  • 8B – transform the graph of logarithmic functions by combining translations, reflections, and expansions
  • 8C – apply laws of logarithms
  • 8D – solve exponential and logarithmic equations using the laws of logarithms

 

Chapter 9 – Rational Functions

By the end of this chapter, you will be able to…

  • 9A – determine the non-permissible values of a rational expression
  • 9B – analyze a rational function
  • 9C – transform the graph of rational functions by combining translations, reflections, and expansions
  • 9D – solve a rational equation
  • 9E – apply a rational equation to solve problems

 

Chapter 10 – Function Operations

By the end of this chapter, you will be able to…

  • 10A – analyze and graph the sum or difference of two functions
  • 10B – analyze and graph the product or quotient of two functions
  • 10C – analyze and graph the composition of two functions

 

Chapter 11 – Permutations, Combinations, and the Binomial Theorem

By the end of this chapter, you will be able to…

  • 11A – apply the Fundamental Counting Principle
  • 11B – describe the similarities and differences between permutations and combinations
  • 11C – apply permutations to count the number of possible outcomes
  • 11D – apply combinations to count the number of possible outcomes
  • 11E – apply Pascal’s Triangle as a counting principle
  • 11F – apply the Binomial Theorem

 

 

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