Reflection: Lesson Planning The Biggest Possible Area - Section 2: Activity


I would be ready with a graph of a perimeter which results in having maximum area dimensions that are not whole numbers. This can well be an extension of the lesson as well. Say the perimeter of the fencing must be 30 feet. Then the maximum area will have dimensions of 7.5 by 7.5. When students graph this, they wil notice that the vertex is not at whole number values. Yet, they can figure it out because of the symmetry involved. 

  When the coordinates of the vertex are not whole numbers
  Lesson Planning: When the coordinates of the vertex are not whole numbers
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The Biggest Possible Area

Unit 8: Advanced Equations and Functions
Lesson 3 of 7

Objective: SWBAT determine maximum rectangular area for a given perimeter using graphical methods.

Big Idea: Students investigate how area changes as a function of length by designing a backyard garden.

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Math, Graphing (Algebra), Algebra, quadratic relations, Expressions (Algebra), parabola, 8th grade math, area, function
  55 minutes
image biggest possible area
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