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The purpose of this task is to develop students’ understanding of the procedure of completing the square using area models. In the task, students will use diagrams of area models to make sense of the terms in a perfect square trinomial and discover the relationship between coefficients of a quadratic expression. They will use this understanding to complete the square to find equivalent forms of quadratic expressions. In this task, the quadratic expressions will be limited to those in which the coefficient of the !! term is 1. This task is the beginning of a learning cycle that ends in students using the completing the square procedure to find the vertex form of a quadratic function and graph the associated parabola.
Material Type:
Lesson
Author:
The Mathematics Vision Project