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The module opens with a modeling challenge (G-MG.A.1, G-MG.A.3) that reoccurs throughout the lessons. Students use coordinate geometry to program the motion of a robot bound in a polygonal region (a room) of the plane. MP.4 is highlighted throughout this module as students transition from the verbal tasks to determining how to use coordinate geometry, algebra, and graphical thinking to complete the task. The modeling task varies in each lesson as students define regions, constrain motion along with segments, rotating motion, and move through a real-world task of programming a robot. While this robot moves at a constant speed and its motion are very basic, it allows students to see the usefulness of the concepts taught in this module and put them in context.
In Lesson 1, students use the distance formula and previous knowledge of angles to program a robot to search a plane. Students impose a coordinate system and describe the movement of the robot in terms of line segments and points. In Lesson 2, students graph inequalities and discover that a rectangular or triangular region (G-GPE.B.7) in the plane can be defined by a system of algebraic inequalities (A-REI.D.12). In Lesson 3, students study lines that cut through these previously described regions. Students are given two points in the plane and a region and determine whether a line through those points meets the region. If it does, they describe the intersection as a segment and name the endpoints.
There are four lessons on this topic.
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