Description
This Grade 11 university preparation mathematics course introduces the concept of a function by extending students’ experience with linear and quadratic relations. Students investigate properties of quadratic, exponential and trigonometric functions and apply their understanding to model real-world relationships.
What You’ll Learn
- Understand functions, representations, inverses and transformations.
- Analyze quadratic functions and solve problems involving zeros, maxima and minima.
- Work with exponential functions, growth and decay, and related applications.
- Use trigonometric ratios, identities and sinusoidal functions to model periodic relationships.
- Analyze recursive, arithmetic and geometric sequences and series.
- Apply functions and sequences to financial mathematics and other real-world contexts.
Skills You’ll Develop
- Algebraic manipulation and functional reasoning
- Graphing and transformations
- Trigonometric modelling
- Sequences, series and financial applications
- Multi-step problem solving and mathematical communication
Learning Outcomes
- Understand functions, their representations, inverses and transformations.
- Solve problems involving quadratic functions and simplify polynomial, radical and rational expressions.
- Represent and solve problems involving exponential functions.
- Understand recursive, arithmetic and geometric sequences and series and connect them to financial applications.
- Use trigonometric ratios and identities for angles less than 360 degrees.
- Understand periodic relationships and represent sinusoidal functions.
- Communicate mathematical reasoning using algebraic, graphical, numeric, tabular and verbal representations.
