A Study of Reverse Instructional Design Based on UbD Theory: An Example of "Derivatives"

High-quality teaching is the way to implement key competencies, and good instructional design is the foundation for realizing high-quality teaching. Aiming at the traditional teaching design misunderstandings of "activity-oriented teaching design" and "indoctrination learning", combined with the core idea of UbD theory, we constructed a framework of reverse instructional design for high school mathematics based on UbD theory. We carried out a reverse instructional design for the unit "Derivatives" in the high school of People's Education Press Version A (PEP Version A). It provides a reference for mathematics educators to design instruction that focuses on the core mathematical knowledge. The unit of "Derivatives" is used as an example of reverse instructional design, which provides a reference for math educators' instructional design and an idea for the implementation of the key competencies of mathematics.