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, conics, probability, relations and functions and fractals.
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
Project
Midterm Exam
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
Project 2
Final Exam
ASSESSMENT
- Unit Reviews, Projects, Quizzes: 40%
- Exams: 60%
Required Resources: a computer with internet access and headphones/speakers. A graphing calculator.