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Math 12 Pre-Calculus

Version 01 (4 credits)

Please note: This assignment must be downloaded, printed and completed by hand.

Click here for First Assignment: 
Pre-calculus Math 12 First Assignment 

Contact the Math 12 Pre-calculus teacher for help

To submit:

  • scan and attach to an email to registrar@sd71.bc.ca or attach to your registration form. You may need to resize your scanned images. You can find an online image resizer at http://www.picresize.com/

​or

  • fax to 250-337- 2310

​  or

  • mail to North Island Distance Education School
                2505 Smith Road Courtenay, BC
                Canada  V9J 1T6​ 

Please note! Photographs of assignments will not be accepted - assignments must be scanned, mailed or faxed. 

It is recommended that students complete:  Pre-Calculus 11.

View the complete Learning Outcomes for this course: Pre-Calculus Math 12 Integrated Resource Package

This course is suited for students who will continue their studies in math and science at a post-secondary institution. 

Students use headphones/speakers to hear narration and explanation while the material is presented online. Students have complete control over the pace at which they learn the lesson - lessons can be paused, resumed, and repeated using simple navigation buttons. Examples are interactive with ani­mated step-by-step flash and video whiteboard solutions.

Unit 1: Transformations   

  • Lesson 1: Functions and Their Graphs, Domain and Range
  • Lesson 2: Translating Graphs of Functions
  • Lesson 3: Reflecting Graphs of Functions
  • Lesson 4: Compressing and Expanding Graphs of Functions
  • Lesson 5: Combining Transformations of Functions
  • Lesson 6: Finding the Coordinates of Ordered Pairs after Transformations

Unit 2: Graphing Radicals and Rationals 

  • Lesson 1: Transformations of Radical Functions
  • Lesson 2: Square Root of a Function
  • Lesson 3: Graphical Solutions to Radical Equations
  • Lesson 4: Transformations of Rational Functions
  • Lesson 5: Analysing Rational Functions
  • Lesson 6: Equations and Graphs of Rational Functions

Unit 3: Polynomials

  • Lesson 1: The Remainder Theorem
  • Lesson 2: The Factor Theorem
  • Lesson 3: Factoring Polynomials
  • Lesson 4: Solving Polynomial Equations
  • Lesson 5: Graphs of Polynomial Functions

Unit 4: Exponents and Logarithms

  • Lesson 1: Review the Exponent Law
  • Lesson 2: Solving Equations Involving Exponents
  • Lesson 3: Defining a Logarithm and Logarithmic Restrictions
  • Lesson 4: Law of Logarithms
  • Lesson 5: Solving Exponential and Logarithmic Equations
  • Lesson 6: Introduction to Exponential Functions
  • Lesson 7: Applications of Exponential Functions Part I
  • Lesson 8: Applications of Exponential Functions Part II
  • Lesson 9: Graphs of Exponential Functions
  • Lesson 10: Graphing Logarithmic Functions

Unit 5: Circular Functions

  • Lesson 1: Radian Measure - Angles in Standard Position
  • Lesson 2: Sine, Cosine and Tangent Functions of Angles in Standard Position
  • Lesson 3: Sine, Cosine and Tangent Functions of  Special Angles
  • Lesson 4: Graphing Sine and Cosine Functions
  • Lesson 5: Transformations of Trigonometric Functions Part I
  • Lesson 6: Transformations of Trigonometric Functions Part II
  • Lesson 7: Sinusoidal Functions with Rational Periods
  • Lesson 8: Applications of Sinusoidal Functions
  • Lesson 9: Graphing the Tangent Function
  • Lesson 10: Graphing the Trigonometric Reciprocal Functions (Enrichment)

Unit 6: Trigonometric Equations and Identities

  • Lesson 1: Solving Trigonometric Equations using a Graphing Calculator
  • Lesson 2: Solving Trigonometric Equations for Exact Values
  • Lesson 3: Reciprocal and Pythagorean Identities
  • Lesson 4: More Trigonometric Identities
  • Lesson 5: Sum and Difference Identities
  • Lesson 6: Double Angle Identities

Unit 7: Permutations and Combinations

  • Lesson 1: The Fundamental Counting Principles
  • Lesson 2: Permutations Involving Different Objects
  • Lesson 3: Permutations Involving Identical Objects
  • Lesson 4: Combinations
  • Lesson 5: Pascal’s Triangle and the Binomial Theorem

Unit 8: Function Notation and Operations

  • Lesson 1: Function Notation
  • Lesson 2: Sums and Difference of Functions
  • Lesson 3: Products and Quotients of Functions
  • Lesson 4: Compositions of Functions

Assessment:

First Assignment:  1 (5 %)

Assignments:         9 (25%)

Tests:                      4 (70%)   

BC Performance Standards