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Goal: Model a real life problem with a quadratic relation of the form y=a(x-h)²+k , and use this equation to solve problems.

Problem:
Farmer Bill has 28m of wire fence material to enclose a rectangular garden. He is trying to decide between two possible garden options:

Garden A → in the middle of the yard Garden B → against the barn

Students will create a table of values, a graph, and determine the vertex form equation for each garden, then answer some questions. The product includes two sheets of grid paper. All the instructions / questions fit nicely on one page; students should show their work on a separate sheet of paper.

A sample exemplar is included from a student's work in my own classroom. This makes a nice tidy assignment form MPM2D (Ontario Curriculum)

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