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 * ===Title of Unit or Project: Functional Movement===
 * ===Grade Level and/or Subject Area: 8th grade math===
 * ===Summary of Project: Students learn to graph linear relationships and recognize linear and nonlinear relationships in various forms—tables, graphs, equations, and situations. Students will choreograph dance moves to model the graphs of various functions and use a graphing calculator to create corresponding figures. Each dance routine will consist of seven or more dance moves which correlate to seven different mathematical equations. The routine will be choreographed to music and combined with videotape or photographs of the equations and graphs in an electronic presentation. ===
 * ===Curriculum Framing Questions:===
 * ===Essential Question-Why are relationships important to "Live your Life?"===
 * ===Unit Questions-     ===

What is this graph telling you?
===  Do you see a pattern in the relationships of the variables? === ===  How can you determine whether a situation is linear? === ===  Are there other ways to represent the same situation? === ===  How does changing one of the quantities in a situation affect the table, the graph, or the equation? === ===  What can you do to maintain balance in this relationship? === ===  Is this relationship linear or nonlinear? === === <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;">What determines whether a table is linear, or nonlinear? A graph? An equation? A situation? === === <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;">Which variable is dependent? Independent? === === <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;">What is the slope and y-intercept of this situation? Graph? Table? Equation? === === <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;">How can you write an equation given the slope and y-intercept? Slope and one point on the line? Two points? <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;">How does changing the slope affect the graph? The table? The equation? The situation? === === <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> <span style="font-size: 10pt; font-family: Verdana; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: Arial; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;">How does changing the y-intercept affect the graph? The table? The equation? The situation? ===
 * === <span style="font-size: 10pt; font-family: Verdana; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: Arial; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA; mso-bidi-font-size: 12.0pt; mso-bidi-font-weight: bold;"> Content Questions-===
 * ===**Real world connection- Linear relationships are useful in various financial situations including revenue, cost, and profit. Linear relationships also relate rates to distance and time. Practical applications include a variety of situations including banking, food service, businesses, and much more. Nonlinear relationships are useful in many of the previous situations as well as engineering and scientific fields including acceleration, velocity, etc.**===

Brochure for using projects in mathematics classroom: Unit Plan for Functional Movement: Sample Powerpoint to introduce unit: Sample student project: Sample discussion questions to introduce unit: Rubric for project:

Links:

[|Graph mole] (a good review for plotting points) [|Graph Paper] (free graph paper to print) [|Shodor Interactivate] (many activities, choose slope slider under the algebra section for this unit) [|Line Gem] (review game for linear graphing) [|Functions] (practice on writing functions for real world situations)