Advanced Algebra is a comprehensive course covering quadratic functions and equations, exponential and logarithmic functions, patterns and sequences, triangle trigonometry, trigonometric functions, and function transformations. Throughout the course, students will develop strong analytical and problem-solving skills by analyzing and interpreting graphs, making connections between the four different representations of mathematics–verbal, numerical, algebraic, and graphical–applying transformations, identifying and extending patterns, and using mathematical reasoning to solve complex problems. The course aims to provide students with a solid foundation in advanced algebraic concepts and equip them with the skills necessary for success in higher-level mathematics.
The Advanced Algebra course will enable the student to:
- Explore discrete and continuous functions, and their representations.
- Recognize trends in two-variable data sets to select a model of fit.
- Use technology to apply regression techniques to model two variable data sets and predict unobserved outcomes.
- Explore functions including linear, quadratic, and exponential relationships from a variety of perspectives-graphical, numerical and analytical.
- Apply notions of transformations within various classes of functions to analyze their mathematical properties.
- Use and apply triangle trigonometry to solve problems.
- Make sense of periodic phenomena and apply them to model real-world problems.
- Solve systems of equations and apply these systems to real-world problems.
- Understand the properties of logarithms and apply them to real-world problems.
A variety of ongoing and frequent assessments, both formative and summative, will be used to develop students’ ability to communicate and apply their understanding of topics being studied.