 ## Foundations for College Mathematics Strands and Subgroups in the Grade 11 Course

• A. MATHEMATICAL MODELS
- Connecting Graphs and Equations of Quadratic Relations
- Connecting Graphs and Equations of Exponential Relations
- Solving Problems Involving Exponential Relations
• B. PERSONAL FINANCE
- Solving Problems Involving Compound Interest
- Comparing Financial Services
- Owning and Operating a Vehicle
• C. GEOMETRY AND TRIGONOMETRY
- Representing Two-Dimensional Shapes and Three-Dimensional Figures
- Applying the Sine Law and the Cosine Law in Acute Triangles
• D. DATA MANAGEMENT
- Working With One-Variable Data
- Applying Probability

### Chapter 1: Trigonometry

1.1: Primary Trigonometric Ratios
1.2: Solving Right Triangles
1.3: Applications of Trigonometric Ratios
1.4: Sine Law
1.5: Cosine Law
1.6: Applying Sine Law and Cosine Law
1.7: Problem Solving with Trigonometry

### CHAPTER 2: Probability

2.1: Probability Experiments
2.2: Theoretical Probability
2.3: Experimental vs. Theoretical Probability
2.4: Interpret Information Involving Probability

3.1: Expand Binomials
3.2: Factor x² + bx +c
3.3: Factor ax² + bx +c (I), where a is a common factor
3.4: Factor ax² + bx +c (II), where a is not a common factor

4.3: Vertical Stretch: y = ax²
4.4: Vertical Shift: y = x² + k
4.5: Horizontal Shift: y = (x - h)²
4.6: Quadratic Transformations: y = a(x - h)² + k
4.7: Graph by Transformations
4.8: Interpret Graphs of Quadratic Relations

### CHAPTER 5: Exponents and Exponential Relations

5.1: Exponent Rules
5.2: Zero and Negative Exponents
5.3: Applications of Exponents
5.4: Investigation on Exponential Relations
5.5: Growth and Rates of Change
5.6: Exponential Relations
5.7: Exponential Growth and Decay
5.8: Problem Solving with Exponential Relations

### CHAPTER 6: Compound Interest

6.1: Simple Interest
6.2: Compound Interest
6.3: Future Value with Compound Interest
6.4: Present Value with Compound Interest
6.5: TVM Solver
6.6: Effects of Changing Variables

### CHAPTER 7: Personal Finance

7.1: Savings Alternatives
7.2: Investment Alternatives
7.3: Credit Cards
7.4: Costs of Obtaining a Vehicle
7.5: Expenses of Operating a Vehicle

### CHAPTER 8: One-Variable Statistics

8.1: Sampling Techniques
8.2: Sampling Bias
8.3: Display Data
8.4: Data Distributions
8.5: Measures of Central Tendency 