The Quadratic Function unit is the 5th unit in this Algebra I course. Having completed the study of first-degree(linear) equations, the student will now explore second-degree equations.
This lesson is a student self-paced assignment that uses Green Globs graphing software to evaluate how parameter changes affect the graph of a quadratic equation. A graphing calculator may be used in stead of Green Globs software.
The students will analyze two problem situations that will require them to set up binomial and quadratic expressions, perform operations on these expressions, and analyze quadratic functions. A "beginning" understanding of the vertex as max/min point and the roots is presented.
In this lesson students are being asked to essentially FOIL or distribute, but in a more visual format. It is important to note that it does not matter which polynomial goes on top and which goes on the side, however, students should remain consistent in order to avoid error.
The connections between a functionâs, y = f(x), roots, the zeros of the graph of f(x), the solution(s) to the equation f(x)=0, and the linear factors of the polynomial f(x) are all very important connections for students to make about functions.
This is a follow up activity to "areas with fixed perimeters."
From our previous studies, we determined that the lot with the maximum area would be a square. Letâs investigate what happens to the area if we are allowed to buy or sell additional pieces of land that are adjacent to the land we already own.