Introduction

A-APR.3. Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. //Common Core State Standards Initiative// (2011). 1. Differentiate between quadratic polynomial equations with rational and irrational roots. 2. Describe the process of finding the roots of a quadratic polynomial equation. 3. Sketch a rough graph of the polynomial 4. Explain why they took each step of the process. 1. Pre-requisite for Geometry, Algebra 2, and Calculus. 2. Used in solving cost problems for efficiency and desired values. 1. Know the basic shape of a parabola. 2. Know the 'FOIL' method. 3. Have a basic knowledge of complex numbers. 1. Know how to use Voicethread 2. Know how to upload photos or use Microsoft Word (or comparable program) to write equations and mathematical symbols __Student Outcomes__ A. Core Subjects and 21st Century Themes B. Learning and Innovation Skills - Creativity and Innovation - Critical Thinking and Problem Solving - Communication and Collaboration C. Information, Media and Technology Skills - Media Literacy - ICT Literacy D. Life and Career Skills
 * **Objectives**
 * **Student Learning Outcomes**
 * **Rationale for Lesson**
 * **Pre-requisite skills for students in content**
 * **Pre-requisite skills for students in technology**
 * **How this lesson aligns with the 21st Century Framework**
 * 1) Mathematics //Partnership for 21st Century Skills// (2011).
 * 1) Uses a wide range of creation techniques in allowing the students to come up with slides by use of power point, pictures, etc.
 * 2) Develop, implement and communicate new ideas to others effectively in group work and explaining their work to the class
 * 3) Be open and responsive to new and diverse perspectives; incorporate group input and feedback into the work in listening to others explain their work and seeing different approaches to the problem
 * 4) Act on creative ideas to make a tangible and useful contribution to the field in which the innovation will occur in creating the voicethread.
 * 1) Effectively analyze and evaluate evidence, arguments, claims and beliefs in discussing procedures with classmates to figure out what is right and wrong.
 * 2) Reflect critically on learning experiences and processes by sharing with the class.
 * 1) Articulate thoughts and ideas effectively using oral, written and nonverbal communication skills in a variety of forms and contexts. Orally students will explain to each other and the class what they did, and their ideas about how to do the problem in both the classroom group work and the voicethread. Students will write down their steps to reaching an answer.
 * 2) Use communication for a range of purposes. Students will communicate their ideas, ask questions, help their peers understand, and motivate their peers.
 * 3) Demonstrate ability to work effectively and respectfully with diverse teams, exercise flexibility and willingness to be helpful in making necessary compromises to accomplish a common goal, assume shared responsibility for collaborative work, and value the individual contributions made by each team member while working in groups to come to an answer. //Partnership for 21st Century Skills// (2011).
 * 1) Understand and utilize the most appropriate media creation tools, characteristics and conventions in creating the voicethread
 * 1) Use technology as a tool to research, organize, evaluate and communicate information in creating the voice thread and communicating their steps efficiently, clearly, and correctly. //Partnership for 21st Century Skills// (2011).
 * 1) Deal positively with praise, setbacks and criticism when working with groups and trying to come up with an answer. The students will have to deal positively with other student comments.
 * 2) Monitor, define, prioritize and complete tasks without direct oversight by creating a voicethread for homework at home.
 * 3) Know when it is appropriate to listen and when to speak and conduct themselves in a respectable, professional manner, respect cultural differences and work effectively with people from a range of social and cultural backgrounds, and respond open-mindedly to different ideas and values when working in groups and listening to students presentations.
 * 4) Inspire others to reach their very best via example and selflessness. Students will positively encourage their peers. //Partnership for 21st Century Skills// (2011).

__Support Systems__ A. Twenty-First Century Standards > explain their work, as well as why a particular approach did not work. //Partnership for 21st Century Skills// (2011). B. Assessment of 21st Century Skills C. Twenty-First Century Curriculum and Instruction D. Twenty-First Century Learning Environments > > 1. Projector to display voice thread 2. Wikispaces page set up by instructor with examples, one example per group.
 * 1) Emphasizes deep understanding rather than shallow knowledge by having students attempt several approaches to one problem and
 * 1) Emphasizes useful feedback on student performance that is embedded into everyday learning
 * 2) Requires a balance of technology-enhanced, formative and summative assessments that measure student mastery of 21st century skills. //Partnership for 21st Century Skills// (2011).
 * 1) Enables innovative learning methods that integrate the use of supportive technologies, inquiry- and problem-based approaches and higher order thinking skills in the use of the voicethread and explaining the use and effectiveness of the formulas learned. //Partnership for 21st Century Skills// (2011).
 * 1) Creates learning practices, human support and physical environments that will support the teaching and learning of 21st century skill outcomes. Students work in groups and receive support from peers and teacher.
 * 2) Provides 21st century architectural and interior designs for group, team and individual learning. //Partnership for 21st Century Skills// (2011).
 * **Materials Needed**

Partnership for 21st Century Skills. (2011). Framework for 21st Century Learning. Retrieved from []

Common Core State Standards Initiative. (2011). Mathematics. Retrieved from []