High School Mathematics 3
Content Areas
Functions: Exploring various functions (piecewise, polynomial, rational, and sinusoidal) and their applications. Analyzing and interpreting the behavior of functions through graphing, transformations, and key features.
Modeling: Utilizing mathematical models to represent real-world situations. Translating from real-world problems to mathematical models, solving equations within the model, and interpreting solutions back to the real-world context.
Algebra: Further exploration of algebraic expressions and equations, including higher-order polynomials, logarithmic and exponential functions, and complex numbers.
Geometry: Diving deeper into geometric concepts like circles (tangents, arcs, and area calculations), exploring similarity and congruence, and introducing three-dimensional figures (volume and surface area of prisms, pyramids, cylinders, and spheres).
Emphasis On
Developing reasoning and communication: Constructing logical arguments, justifying solutions, and explaining mathematical concepts clearly and concisely.
Applying mathematics to real-world problems: Solving complex problems in various contexts through modeling and utilizing different mathematical tools and approaches.
Preparing for future math courses: Building a strong foundation for advanced mathematics, including calculus and statistics, which may be encountered in higher education or specialized fields.
Key Takeaways
- Students gain a deeper understanding of functions, their properties, and their applications in diverse situations.
- Students will strengthen their problem-solving skills by utilizing mathematical modeling to tackle real-world challenges.
- Students develop their algebraic and geometric skills to a higher level, preparing for more advanced mathematics.