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.
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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.