Reflection: Grappling with Complexity Introduction to Polynomials - Section 2: Partner Work Time

 

Most of the student chose to substitute values in for x to get y in a t-table, where y was equivalent to V(x), the volume of the function.  After students find the value of x that result in the maximum volume, then students must substitute it back in to get the dimensions of length, width, and height. This sample of using a Table Method shows substituting values in for x to find the maximum volume. Students found an approximate answer of x=1.5, but the calculator shows a more exact answer at x=1.59.  Which would make the dimensions approximately 5.32 X 7.82 X 1.59 inches. Few students found the maximum by using the calculator.  If no students are able to demonstrate by using the calculator then I demonstrate for the class as shown in the video below.

  Grappling with Complexity: Considering Student Work
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Introduction to Polynomials

Unit 7: Polynomial Operations and Applications
Lesson 1 of 9

Objective: SWBAT recognize the volume formula as a Cubic Function and successfully maximize the volume of a box for a given surface area.

Big Idea: Students work with familiar objects, learning to use mathematics to understand them in closer detail.

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2 teachers like this lesson
Subject(s):
Math, polynomial, Algebra, Polynomial and Rational Functions, partner work, Exit Slip, Maximum volume, dimensions, Open Topped Box problem, Optimization
  50 minutes
open topped box 4
 
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