The Math Department
The CTK Math Department prepares students to understand math models that will help them think critically in and out of the classroom. The curriculum focuses on algebra and geometry, as these are the fundamental prerequisites for advanced mathematics studies. The department faculty strives to assist every student to become fluent in the language of algebra and geometry, develop confidence in performing these equations, and achieve a lasting understanding of fundamental math concepts.
Courses offered by the Math Department at CTK
This course will use the language of algebra – its vocabulary, symbols, and reasoning – to solve problems, analyze data, and describe relationships and patterns. Students will learn to apply algebra to represent real life situations, building a solid algebraic foundation for subsequent math coursework.
Math II: Geometry
This course will encourage students to become effective oral and written communicators through the use of logical reasoning. Geometry students will be able to use visualization, spatial reasoning, and geometric modeling to solve problems. These skills will enable students to be successful in forming an argument and justifying it with evidence, which will be a valuable application to other high school and college courses.
This course complements and expands the mathematical content and concepts of Algebra I. Students’ knowledge of number systems will be expanded to included both real and imaginary number systems. Functions will be explored in depth through evaluation, composition, and both numerical and graphical representation. Other topics will include matrices, exponents, and radicals.
Math IV: Pre-calculus
This course will explore, in depth, the topics of radicals and rational exponents, polynomial and rational functions, logarithmic and exponential functions, graphs and trigonometry. Students will discover how their algebraic foundation supports much of what they encounter in Pre-calculus. Students will also be able to apply mathematical concepts and formulas (i.e. population growth, compound interest) to real-life applications.
The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data.Students are exposed to four broad conceptual themes:
- Exploring Data: Describing patterns and departures from patterns
- Sampling and Experimentation: Planning and conducting a study
- Anticipating Patterns: Exploring random phenomena using probability and simulations
- Statistical Inference: Estimating population parameters and testing hypotheses