Extensions: Graph an equation representing a direct variation, given a set of data. AII.10 ID/create/solve real‐world problems involving inverse/joint variation/combo of direct/inverse variations Graph linear equations and inequalities Standard Key Vocabulary in two variables, including those that 12 classes Slope, Rate of Change, slope-intercept The student will graph linear equations and A.6 arise from a variety of real-world form, y-intercept, x-intercept, linear inequalities in two variables, including situations. Traditional: form, parallel lines, a) determining the slope of a line 24 classes perpendicular lines, opposite when given an equation of the Use the parent function = and y x reciprocals, horizontal lines, vertical line, the graph of the line, or two describe transformations defined by lines, and standard form points on the line. Slope will be changes in the or y-intercept. described as rate of change and DOE Lesson Plans will be positive, negative, zero, Find the slope of the line, given the or undefined; and equation of a linear function. b) writing the equation of a line when given the graph of the line, two Find the slope of a line, given the points on the line, or the slope coordinates of two points on the line. and a point on the line. Textbook Resources Find the slope of a line, given the graph Sections 5.1, 5.3-5.6 of a line. Essential Questions What does the slope of a line indicate Resources/Lessons Recognize and describe a line with a about the line? slope that is positive, negative, zero, or What information does the equation undefined. of a line give you? What do we know about the slopes of Use transformational graphing to parallel and perpendicular lines? investigate effects of changes in equation parameters on the graph of the Prerequisite/Extension SOL equation. Prerequisites: 7.15 a) solve one‐step inequalities; an equation of a line when given b) graph solutions on number line the graph of a line. 8.15 b) solve two‐step linear inequalities and graph results on
Extensions: AII.10 ID/create/solve real‐world problems involving inverse/joint variation/combo of direct/inverse variations Graph an equation representing a direct variation, given a set of data. 12 classes Traditional: 24 classes Standard A.6 The student will graph linear equations and linear inequalities in two variables, including a) determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined; and b) writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line. Essential Questions What does the slope of a line indicate about the line? What information does the equation of a line give you? What do we know about the slopes of parallel and perpendicular lines? Prerequisite/Extension SOL Prerequisites: 7.15 a) solve one‐step inequalities; b) graph solutions on number line 8.15 b) solve two‐step linear inequalities and graph results on Graph linear equations and inequalities in two variables, including those that arise from a variety of real-world situations. Use the parent function y = x and describe transformations defined by changes in the or y-intercept. Find the slope of the line, given the equation of a linear function. Find the slope of a line, given the coordinates of two points on the line. Find the slope of a line, given the graph of a line. Recognize and describe a line with a slope that is positive, negative, zero, or undefined. Use transformational graphing to investigate effects of changes in equation parameters on the graph of the equation. an equation of a line when given the graph of a line. Key Vocabulary Slope, Rate of Change, slope-intercept form, y-intercept, x-intercept, form, parallel lines, perpendicular lines, opposite reciprocals, horizontal lines, vertical lines, and standard form DOE Lesson Plans Textbook Resources Sections 5.1, 5.3-5.6 Resources/Lessons
2014-2015_algebra_1_completed_pacing_guide.docx