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Slope-Intercept in GeoGebra

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

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Slope-Intercept in GeoGebra

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

  2. 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 Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

  3. Intentions • Algebra I students • Grade Level 7 - 9 • 45 to 60 minutes in length • As much or more emphasis placed on learning how to use GeoGebra as on the slope-intercept concepts Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

  4. 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 Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

  5. 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 Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

  6. 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 Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

  7. 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 sliders • It also contains questions that can be answered using traditional pencil and paper techniques, as well as with the GeoGebra construction Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

  8. 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 Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

  9. 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 Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

  10. Sunshine State Standards • Algebraic Thinking • MA.D.1.3.1 • 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.3.3.2 • 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. Slope-Intercept in GeoGebra Jeff Rose - MAE 6127

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