## Math 12 Foundations

**Ministry code: FOM 12**

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

**View the complete Learning Standards for this course here: ** __Foundations Math 12__

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, logical reasoning, probability, relations and functions and fractals.

### MODULE 1

**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?
*Module 1 test*

### MODULE 2

**Unit 3: Set Notation**

- Lesson 1: Set Notation and Different Types of Sets
- Lesson 2: Intersection and Union of Sets
- Lesson 3: Application of Set Theory
- Lesson 4: Conditional, Converse, Inverse, and Contrapositive Statements

**Unit 4: Combinatorics**

- Lesson 1: Fundamental Counting Principle
- Lesson 2: Permutations when Objects are Not Similar
- Lesson 3: Permutations when Objects are Similar
- Lesson 4: Combination
*Module 2 test*

### MODULE 3

**Unit 5: 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 6: 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

*Module 3 Test*

### MODULE 4

**Unit 7: 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 8: 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

*Module 4 test*

### ASSESSMENT

- Unit Assignments (8 total) 40%
- Module Tests (4 total) 60%

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