Students will use quadratic models to optimize the area of a field for a given perimeter. This is the Desmos treatment of a task that's as old as fields themselves. We emphasize estimation, construction, and formulation, in addition to the graphing and solution you find in traditional treatments.
In this lesson, students will be able to: restrict, reposition, and resize parabolas at will using vertex form (y=a(x-h)2+k) and use precision in describing these transformations using words and/or symbols.
In this activity, students work through a series of scaffolded linear graphing challenges to develop their proficiency with direct variation, slope-intercept, point-slope, and other linear function forms.