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### Chapter 4--Fitting Lines to Data

 Essential Question:  How can we use different forms of linear equations to represent relationships, make predictions, and solve problems about real-world situations? Unit Rationale:  Different forms of the equation of a line can be useful in different real-world situations. As a result of this unit, students will be able to: Ø  Calculate the slope of a line with slope triangles and the slope formula Ø  Write and graph equations for a line, using slope-intercept, point-slope, two points or translations Ø  Write equations for lines of best fit Ø  Describe correlations of data from scatter plots Vocabulary: ·         Correlation ·         Line of fit ·         Parallel ·         Perpendicular ·         Point-slope form ·         Slope ·         Slope-intercept form ·         Slope triangle Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements.  Focus Standards: *A1.1.B  Solve problems that can be represented by linear functions, equations, and inequalities. Supporting Standards: *A1.4.B  Write and graph an equation for a line given the slope and y-intercept, the slope and a point on the line, or two points on the line and translate between forms of linear equations. *A1.4.C  Identify and interpret the slope and intercepts of a linear functions, including equations for parallel and perpendicular lines *A1.6.D  Find the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions. *A1.6.E  Describe the correlation of data in scatter plots in terms of strong or weak and positive or negative. *A1.7.C  Express arithmetic and geometric sequences in both explicit and recursive forms, translate between the two forms, explain how rate of change is represented in each form, and use the forms to find specific terms in the sequence. Reasoning, Problem Solving, and Communication Standards: A1.8.G  Synthesize information to draw conclusions, and evaluate the arguments and conclusions of others. A1.8.D  Generalize a solution strategy for a single problem to a class of problems, and apply a strategy for a class of related problems to solve specific problems.