Slope-Intercept in GeoGebra Using Dynamic Geometry to Write Equations of Lines Jeff Rose - MAE 6127

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Objectives of Lesson Introduce students to GeoGebra Allow students to see how changing the slope and the y-intercept values will change a line in real-time Allow students to visualize relationships between parallel lines and perpendicular lines

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Intentions Algebra I students Grade Level to 60 minutes in length As much or more emphasis placed on learning how to use GeoGebra as on the slope-intercept concepts

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Setup Students paired up or in small groups Classroom arranged to allow for small groups to sit together Teacher - LCD projector and laptop with GeoGebra or internet access Students - worksheets and laptops with GeoGebra or internet access

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Teacher Prerequisites Math concepts of slope, y-intercept, parallel and perpendicular lines Ability to write equations of lines in slope-intercept form Refresh training on laptop use and safety Working knowledge of GeoGebra

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Student Prerequisites Math concepts of slope, y-intercept, parallel and perpendicular lines Ability to write equations of lines in slope-intercept form Ability to use laptops safely, effectively and independently Ability to follow complex directions

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Content The worksheet is designed primarily as an introduction to GeoGebra It contains step-by-step directions that allow students to construct a line whose slope and y-intercept can be manipulated with slidersdirections It also contains questions that can be answered using traditional pencil and paper techniques, as well as with the GeoGebra constructionconstruction

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Strengths Students enjoyed the activity and were able to stay on task and follow directions Students did an excellent job answering the questions by hand and using the construction to confirm their answers Students gained experience with GeoGebra that allowed for much more challenging constructions afterwards

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Weaknesses As is often the case with independent computer activities, some students were done well before others At times there were 2 or 3 groups that needed help at the same time - making it necessary to prioritize who to help first or to recruit students who were ahead of the others to help This was created before I learned how to create Worksheets in GeoGebra

March 14, 2007Slope-Intercept in GeoGebra Jeff Rose - MAE Sunshine State Standards Algebraic Thinking –MA.D The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions. –1. describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities. Geometry –MA.C The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically. –2. identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines.