ND Curriculum Initiative

Subject & Standards

Understandings & Goals

Enduring Understanding: Students will understand the relationships among quadratic equations and how they can be solved so that in the future they can recognize and apply it to real world situations. Goal(s): To become proficient with factoring polynomials so that it can be applied to real world situations.

Questions Answered

Essential questions: What are the different types of quadratic equations? What are the patterns that are involved in factoring any polynomial? What will factoring allow students to accomplish? Objectives: Students will be able to recognize and predict how many solutions a quadratic equation will have. Students will assess the different polynomials and choose the appropriate method of factoring Students will be able to apply factoring polynomials to story problem situations. Students will understand, define, and evaluate the roots of quadratics. Students will contrast the factoring and multiplication of polynomials. Students will design a model that will illustrate that the previous five objectives have been obtained.

Assessment

What quiz and test items (e.g. simple content-focused questions that require a single, best answer) will provide evidence of understanding? Work sheets and quizzes will be used to assess factual recall. What academic prompts (e.g. open-ended questions or problems that require students to think critically and then to prepare a response / product / performance) will provide evidence of understanding? Students will access one or more programs to learn and improve the methods of factoring and how it relates to area. What performance tasks and projects (e.g. complex challenges that are authentic, mirror the real world and require a performance or product) will you include that will provide evidence of student understanding? Students will form collaborative groups to create a presentation illustrating the methods learned and at least one problem of how factoring can be used in a modeling problem. What other evidence (e.g. observations, work samples, dialogues, student self-assessment) of understanding will you collect? Rubrics (teacher-designed and student-designed), oberservations, work samples, self-reflection journals, and student produced products will be used.

Instructional Strategies

Students will use inquiry-based and project-based learning to investigate what they know and what they need to learn about factoring polynomials. Through the problem investigation process students will test their solutions to several problems through verification of a BASIC program and through investigation of several web sites. Students will research the different methods of factoring on the web sites and then apply their knowledge through interactive activities to test their knowledge of the different methods of factoring polynomials. Through project-based learning students will design a model demonstrating the various types of factoring and how-to-methods of solving them. Students will basically act as teacher through their presentations.