IM Alg1.1.1 Lesson: Getting to Know You (GeoGebra Interactive)

This GeoGebra example is an interactive version of the 'Getting to Know You' lesson from Illustrative Mathematics Algebra 1, Unit 1, Lesson 1. It is designed as an icebreaker and mathematical warm-up activity. The construction displays several draggable point objects (labeled B1, C1, D1, A1, E1) on a coordinate plane, allowing students to move them freely and observe how their positions and coordinates change. The core mathematical concepts include coordinate geometry, basic function graphing, piecewise functions, and the intuitive idea of secant lines, with optional connections to trigonometric functions and differential equations. The construction uses simple GeoGebra point commands to create multiple independent objects, enabling exploratory learning through dragging. This resource is suitable for upper middle school or early high school algebra students, serving as a classroom activity or self-guided exploration to build foundational understanding of functions and geometric representation.