## Math 12 Foundations

**Ministry code: FOM 12**

It is recommended that students complete: Foundations Mathematics 11 or equivalent prior to enrolling in this course.

This course is designed to provide students with developing mathematical understandings that are identified for post-secondary studies in programs that do not require the study of theoretical calculus. Topics in this course include financial mathematics, conics, probability, relations and functions and fractals.

__View the Ministry of Education guide__

**Unit 1: Investing Money**

- Lesson 1: Simple Interest
- Lesson 2: Future Value and Compound Interest
- Lesson 3: Using Technology for Financial Calculations – Part One
- Lesson 4: Using Technology for Financial Calculations – Part Two
- Lesson 5: Compound Interest with Regular Payments

**Unit 2: Borrowing Money**

- Lesson 1: Analyzing Loans
- Lesson 2: Credit Cards and Pay Day Loans
- Lesson 3: Investigating Credit Card Repayment Options
- Lesson 4: Should you Buy, Lease, or Rent?

**Unit 3: Combinatorics**

- Lesson 1: Fundamental Counting Principle
- Lesson 2: Permutations when Objects are Not Similar
- Lesson 3: Permutations when Objects are Similar
- Lesson 4: Combinations

**Unit 4: Probability**

- Lesson 1: Probability Terminology and Notation
- Lesson 2: Mutually Exclusive Events: A and B
- Lesson 3: Conditional Probability Events: A and B
- Lesson 4: Problems Involving Conditional Probability
- Lesson 5: Probability Involving Permutations and Combinations

**Unit 5: Polynomial Functions**

- Lesson 1: Graphs of Polynomial Functions
- Lesson 2: Characteristics of the Equations of Polynomial Functions
- Lesson 3: Using Technology to Model Data with a Line of Best Fit
- Lesson 4: Using Technology to Model Data with a Curve of Best Fit

**Unit 6: Exponential and Logarithmic Functions**

- Lesson 1: Characteristics of Graphs of Exponential Functions
- Lesson 2: Characteristics of Graphs of Logarithmic Functions
- Lesson 3: Using Technology to Model Data using Exponential and Logarithmic Functions

**Unit 7: Sinusoidal Functions**

- Lesson 1: Radian Measure and Angles in Standard Position
- Lesson 2: Characteristics of Periodic Functions
- Lesson 3: Sinusoidal Functions
- Lesson 4: Using Technology to Model Data with Sinusoidal Functions

**Unit 8: Conics**

- Lesson 1: Introducing Conic Sections
- Lesson 2: Conic Sections as a Locus
- Lesson 3: Ellipse and Hyperbola as a Locus
- Lesson 4: Applications of Conics

**Unit 9: Constructions and Fractals**

- Lesson 1: Constructing Perpendicular Bisectors and Tangents
- Lesson 2: Polygons, Tessellations, and Geometric Art
- Lesson 3: Introduction to Fractals, Fractal Geometry, and L-Systems

### ASSESSMENT

Item |
% of final mark |
Notes |

Unit Reviews | 20% | |

Unit Tests | 10% | (not supervised) |

Quizzes, Math lab, Project | 20% | |

Midterm Exam (Units 1 to 4) | 25% | SUPERVISED |

Final Exam (Units 5 to 8) | 25% | SUPERVISED |

**Please Note:** Quizzes and Unit Tests are not supervised but are expected to be written with integrity. The two exams (Midterm and Final) are supervised. Students are encouraged to secure a teacher from their regular school to assist in test supervision, or go to a testing centre. If neither of these options are available, contact your teacher to arrange online supervision.

**Required Resources: ** a computer with internet access and headphones/speakers. A graphing calculator.