Education Technology

Area of the Missing Square

Published on 08/23/2010

Activity Overview

Students explore the relationship between the value of b and c, in y = x2 + bx + c, form of the quadratic equation.

Key Steps

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    Students will be introduced to the area model representation of a quadratic equation. The teacher will lead a discussion about the area of the missing square and its relationship to area of the whole square (x+1)2.

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    In Problems 2 and 3, students will use this model to explore the relationship needed to complete the square of a quadratic trinomial. This exploration will occur with both integer and non-integer lengths. Students will write the Area equation for several different values of the displayed width.