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Henrico County Public Schools, Virginia

 
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Module - Exploring Quadratic Functions and Inequalities
Lesson 1 - Solving Quadratic Equations by Graphing
Objective

The student will be able to write functions in quadratic form, graph quadratic functions, and solve quadratic eqiuations by graphing.

chick coopChicken Coop

Barry has 20 m wire mesh. He would like to enclose as large as possible a rectangular a chicken coop using a barn wall as one of the sides. What values for the length and width will give him the largest area?

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SOL

AII.6 - The student will recognize the general shape of function (absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic) families and will convert between graphic and symbolic forms of functions. A transformational approach to graphing will be employed. Graphing calculators will be used as a tool to investigate the shapes and behaviors of these functions.

AII.8 - The student will investigate and describe the relationships among solutions of an equation, zeros of a function, x-intercepts of a graph, and factors of a polynomial expression.

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Common Core Standards

Warm-up
  1. ExamView: Simplifying Complex Expressions Review
Lessons
  1. Notes: Roots and Zeros of Polynomials (ppt)
  2. Notes: Domain and Range (ppt)
  3. Notes: Solving Quadratic Equations by Graphing (ppt)
  4. Notes: Solving Polynomial Equations by Graphing (ppt)
  5. Notes: Casio Calculator (pdf)
Videos

 

Explore Learning

 

Geogebra

 

Internet Sites
  1. Video Tutor - Solving Quadratics by Graphing
Tasks

 

Practice
  1. Homework: Solving Polynomial Equations by Graphing #1-12 (pdf)
Assessment
  1. ExamView: Solving Quadratic Equations by Graphing Quiz
Other

 

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