 ## Applied Mathematics Strands and Subgroups in the Grade 10 Course

• Measurement and Trigonometry
- Solving Problems Involving Similar Triangles
- Solving Problems Involving the Trigonometry of Right Triangles
- Solving Problems Involving Surface Area and Volume, Using Imperial and Metric Systems of Measurement
• Modelling Linear Relations
- Manipulating and Solving Algebraic Equations
- Graphing and Writing Equations of Lines
- Solving and Interpreting Systems of Linear Equations
• Quadratic Relations of the Form y = ax2 + bx + c
- Identifying Characteristics of Quadratic Relations
- Solving Problems by Interpreting Graphs of Quadratic Relations

### Chapter 1: Measurement Systems and Similar Triangles

1.1: Imperial Measure
1.2: Conversions Between Metric and Imperial Systems
1.3: Similar Triangles
1.4: Solve Problems Using Similar Triangles

### CHAPTER 2: Right Triangle Trigonometry

2.1: The Pythagorean Th eorem
2.2: Explore Ratio and Proportion in Right Triangles
2.3: The Sine and Cosine Ratios
2.4: The Tangent Ratio
2.5: Solve Problems Using Right Triangles

### CHAPTER 3: Linear Relations

3.1: Slope as a Rate of Change
3.2: Investigate Slope and y-Intercept
Using Technology
3.3: Properties of Slopes of Lines
3.4: Determine the Equation of a Line
3.5: Graph Linear Relations by Hand

### CHAPTER 4: Linear Equations

4.1: Solve One- and Two-Step Linear Equations
4.2: Solve Multi-Step Linear Equations
4.3: Model With Formulas
4.4: Convert Linear Equations From Standard Form

### CHAPTER 5: Linear Systems

5.1: Solve Linear Systems by Graphing
5.2: Solve Linear Systems by Substitution
5.3: Solve Linear Systems by Elimination
5.4: Solve Problems Involving Linear Systems

6.1: Explore Non-Linear Relations
6.3: Key Features of Quadratic Relations
6.4: Rates of Change in Quadratic Relations

7.1: Multiply Two Binomials
7.2: Common Factoring
7.3: Factor a Difference of Squares
7.4: Factor Trinomials

### CHAPTER 8: Represent Quadratic Relations

8.2: Represent Quadratic Relations in Diff erent Ways
8.3: Th e Quadratic Relation y = ax 2 + c 336
8.4: Solve Problems Involving Quadratic Relations

### CHAPTER 9: Volume and Surface Area

9.1: Volume of Prisms and Pyramids
9.2: Surface Area of Prisms and Pyramids
9.3: Surface Area and Volume of Cylinders
9.4: Volume of Cones and Spheres
9.5: Solve Problems Involving Surface Area and Volume

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