Unit Instructional Design on Graphs and Properties of Exponential Functions Based on Big Ideas

Abstract

In the era of knowledge explosion, students urgently need deep understanding and transferability skills, and the integration of Big Ideas with unit teaching has become a breakthrough for educational reform. As a core component of mathematics, the teaching of functions directly impacts students' core competencies, and the graph and properties of exponential functions serve as a key medium for developing mathematical thinking. Despite a rich research foundation, the application of Big Ideas in function teaching still requires breakthroughs. This paper takes the graph and properties of exponential functions as an example, and through theoretical analysis and practical design, constructs a unit teaching path guided by Big ideas. The aim is to provide a feasible paradigm for frontline teaching, enhancing the quality of mathematics instruction and students' core competencies.

Keywords: Big Ideas, Unit Teaching Design , Exponential Functions, Core Competencies

DOI: 10.7176/JEP/16-5-20

Publication date: May 30^th 2025