5.0 Quadratic Functions

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.
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    5.01Sure Shot

    "Sure Shot" is an introduction to Quadratic Functions using a short movie of a basketball shot and a free software called Scion Image.
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    5.02 Sure Shot (R&A).doc

    This is an enrichment activity to be completed after Sure Shot.
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    5.03 Quadratics Plotter.doc

    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.
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    5.04a Adding Polynomials.doc

    In this lesson, the student will add polynomials using perimeter of figures.
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    5.04b Getting Around City.doc

    This lesson demonstrates an application of adding polynomials. The student uses a map to find distances (using variables.)
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    5.05 Polyn.Quiz.doc

    This is a short quiz assessing knowledge of adding polynomials.
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    5.06 Monomials Part 1.doc

    In this worksheet the student will practice the properties of exponents as well as practice combining like terms.
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    5.07 Monomials Part 2.doc

    This worksheet offers more practice simplifying exponents.
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    5.08 Dividing Monomials.doc

    In this worksheet the student will practice dividing with exponents.
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    5.09 PiP and Corralled.doc

    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.
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    5.10 Corral for Horses(R&A).doc

    This is an enrichment activity to follow "Corralled." In this lessong, the student will practice finding maxmimum area.
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    5.11 Box Method.doc

    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.
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    5.12 Multiply Polynomials.doc

    This is a practice worksheet for multiplying polynomials.
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    5.13 Factoring.doc

    In this activity,the student will explore factoring through the reverse of the "box method."
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    5.14 Roots,Factors.doc

    The connections between a function’s, 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.
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    5.15 Planet Bball.doc

    This lesson is designed to present the Quadratic formula to the students.
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    5.16 The Diver(R&A).doc

    "The Diver" is a continued study of factoring, while relating factoring to finding roots and using the quadratic formula.
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    Areas w_Fixed Perim.doc

    In this activity the student will write a quadratic function to find the maximum area of a rectangle with a fixed perimeter.
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    Changin Lots.Factors.doc

    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. Let’s 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.
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    Quadratics Test.doc

    This document is a test covering the entire Quadratic functions unit.
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    SystemsParabolas&ExponentsTest.doc

    This test is a test covering linear systems, quadratic functions, and properties of exponents.

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