Title: (Desmos) Build a Bigger Field: Perimeter vs Area- Accelerated
Course: HBUHSD Geometry Resource Course > Section: Unit 6: Measurement Applications in 2- and 3-Dimensions

Expected student time to complete: 20-40 minutes (depending on level of class)

Description: This activity shows the relationship between perimeter and area of a simple rectangle. Students will use quadratic models to optimize the area of a field for a given perimeter. Estimation, construction, and formulation, in addition to the graphing and solution you find in traditional treatments are emphasized.

Teacher instruction: Students must know how to find perimeter and area of a rectangle, how to solve an equation for a particular variable, and recognize the graph of a quadratic.  Teachers will also need to show students how to substitute information from a perimeter equation into an area equation and vice versa (ex: , solve for and use the value of to substitute for part of the area equation ). Teachers need to create a class code within Desmos to show the screens and collect student data.

Student instruction: Students should work alone or with (at most) 1 partner to work through each screen of Build a Bigger Field. Students will need a pencil, sheet of scratch paper for their work, and a computer or smart phone (something to run Desmos).

Links: https://teacher.desmos.com/activitybuilder/custom/58239de24ae80beb05f258cf