S+Sullivan,+Joseph

**Office: Room 327** **Office Hours: MWF 2-4** ** E-mail: joseph.sullivan1@maine.edu **
 * Teacher: Mr. Sullivan**

=Summary of Unit= During the progression of this unit, students will learn to reason with equalities and equations. This process will include reviewing how to graph equations, representing inequalities on number lines, solving systems of equations using a linear approach, as well as solving systems using a graphical method. By the end of the unit, students will understand that equations and inequalities can be solved graphically, everyday problems can be represented by equations or inequalities, and equations and inequalities are everywhere in the professional world. To understand these concepts, students will learn: definitions of graph, equation, inequality, greater than, less than, and equal; terminology such as x-axis, y-axis, shading, and/or; and critical details like setting up equations, setting equations equal to each other, designing a graph to represent systems of equations or inequalities, and number lines. Finally, as a result of this unit, students will be able to model systems of equations or inequalities and determine a solution, translate inequalities from statements into graphs, adapt graphing equations into real world practice, compare and contrast the differences between equations and inequalities, consider how one question can have multiple methods of solution, and recognize similarities between what they are learning and its application to the real world.

=Establish Goals=
 * Common Core State Standards**
 * Content Area:** Algebra
 * Grade Level:** High School
 * Domain:** Reasoning with Equations and Inequalities
 * Cluster:** Represent and solve equations and inequalities graphically
 * Standard:** 10. Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could also be a line). And 11, 12.

=Students will understand that= • equations and inequalities can be solved graphically • everyday problems can be represented by equations or inequalities • equations and inequalities are everywhere in the professional world

=Essential Questions= • How can an equation or inequality be solved graphically? • How are equations or inequalities used in everyday life? • Why do professionals use graphical models?

=Students will know= • Definitions of graph, equation, inequality, greater than, less than, equal • Terminology such as x-axis, y-axis, shading up/down, and/or • Critical details like setting up equations, setting equations equal to each other, designing a graph to represent an equation or inequality, and number lines

=Students will be able to= • model a system of equations and determine a solution • translate inequalities from statements into graphs • adapt graphing equations into real world practice • compare and contrast the differences between equations and inequalities • consider how one question can have multiple methods of solution • recognize similarities between what they learn and its application to the real world

**Performance Task Overview** You are an aspiring daredevil. Your goal in life is to climb to the top of the entertainment industry and have fans worship the ground at your feet like your hero, Evel Knievel. However, the money you have to put into your act is beginning to dwindle, and you find yourself in dire financial straits. Your only option is to market yourself to sponsors and succeed in making a pitch that will convince them to invest in your cause. This pitch must demonstrate your economical prowess to the company, and illustrate how your sponsorship will be feasible for them.

=Expectations=
 * Absences:**Students are expected to come see me whenever they return from an absence to pick up missed work. Students are accountable for all academic activities, and faculty may require special work or tests to make up for the missed class or classes.
 * Assignments:** Assignments are expected to be completely attempted and turned in by the due date appointed by the teacher. If an extension is required, students are expected to come see the teacher and provide a sufficient reason for needing the extension. Work that is incomplete will receive a deducted grade, and work that is not attempted will receive a zero.
 * Classroom Expectations:** Students are expected to act in a manner that shows respect for themselves and for others in the class, which entails being respectful of school rules, using appropriate language, and come to class prepared to learn.
 * Academic Honesty:** Plagiarism will not be tolerated in any way, and cheating will be grounds for a zero grade. Students also need to be academically responsible for their own work and not allow anybody to cheat or plagiarize any material from them.

=Benchmarks Total Points: 300=
 * iMovie- 50 Points:** Present a video walkthrough of a homework problem and upload to Youtube.
 * Online Graphing Application- 25 Points:** create and model an example of a system of equations.
 * Glogster- 25 Points:** Show how graphs and equations are used every day.
 * Google Docs- 25 Points:** Have students respond to a prompt on the differences between equations and inequalities.
 * Inspirations- 50 Points:** Show the differences in progressions of solving problems by different methods.
 * Podcast- 25 Points:** Create a short clip explaining 3 professional uses of graphs.
 * Prezi Project- 100 Points:** See performance task.

=Grading Scale= **A** (93 -100), **A-** (90 - 92), **B+** (87 - 89), **B** (83 - 86), **B-** (80 - 82), **C+**(77 - 79), **C** (73-76), **C-** (70 - 72), **D+**(67 - 69), **D** (63 - 66), **D-** (60 - 62), **F** (0 - 59).