Algebra II
Activity:
Area of the Missing Square
Posted on Jan 8, 2009
Topic: Quadratic Equations and Functions
In this activity, students will be introduced to an area model for representing a quadratic equation. Students will explore the relationship between the value of b and c, in y = x2 + bx + c, form of the quadratic equation. The relationship will be examined with integer and non-integer values in order to help students recognize a pattern.
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Activity Key Steps:
In this activity, students will be introduced to the area model representation of a quadratic equation.
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 l.
In Problem 4, students will apply their knowledge to several questions about completing the square.