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Texas Instruments
9-12
40 Minutes
Students explore the relationship between the value of b and c, in y = x2 + bx + c, form of the quadratic equation.
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.
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.