Content Analysis

Teaching Content:

In the high school stage, functions are not only the main content of classroom teaching, but also serve as tools and foundations for learning equations, inequalities, sequences, and derivatives. High school functions are an in-depth study of functions from middle school. While middle school adopts the “variable approach”, high school establishes the “correspondence approach”, which is more generalized than the “variable approach”. By studying power functions, exponential functions, logarithmic functions, trigonometric functions, and elementary functions, students can understand the thinking methods of functions and their close connections with other teaching contents. These important function models also have significant practical significance.

Student Learning Analysis:

Students have already learned about sets and logical language, which they can use to express functions. In middle school, students have been introduced to linear functions, quadratic functions, etc., and have a preliminary understanding that studying the properties of function graphs is necessary. In their previous learning, students have also engaged in multiple explorations of definitions and have used the method of extrapolation, developing certain exploration skills.

Teaching Methods:

Teachers adopt a combination of lecturing and self-inquiry learning methods to help students develop a deep understanding of the concept of functions. The teacher uses guided inquiry and group cooperation to deepen students’ understanding of abstract function models.