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Polynomial Cube Challenge
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This lesson uses the model of a 4 x 4 cube viewed from the top, front, and right side.The first task is to find the integer value representing the number of cubes that can be viewed as well as those that cannot be seen. The second task is to find a polynomial model that represents this solution.  Besides drawing a picture and counting the cubes, think of a method which requires multiplication, addition, and subtraction of the sides that will result in a quadratic solution.  Check the model and evaluating it when n=4 and compare answer to Task 1. The third task is to check to see if the model will hold true when the number of units in one side is greater than 4. The fourth task is an optional extension for students to predict a model for a rectangular prism with a square base using two variables.  An addtional extension can be used to review probability and odds.  

Subject:
Math 1
Material Type:
Lesson Plan
Author:
Joanne Rowe
Date Added:
08/08/2019