E Linear Equations, Lesson 3, Writing Linear Equations (r. 2018) – LINEAR EQUATIONS Writing Linear Equations Common Core Standard Next Generation Standard A-REI.10 Understand that the graph of an equation AI-A.REI.10 Understand that the graph of an equation in in two variables is the set of all its solutions plotted two variables is the set of all its solutions plotted in the in the coordinate plane, often forming a curve coordinate plane. (which could be a line). Note: Graphing linear equations is a fluency for Algebra I. Students become fluent in solving characteristic problems involving the analytic geometry of lines, such as writing down the equation of a line given a point and a slope. Such fluency can support them in solving less routine mathematical problems involving linearity; as well as modeling phenomena. LEARNING OBJECTIVES Students will be able to: Determine if different equations represent the same mathematical relationship between two variables. Write the equation of a line of a line given two points on the line or one point and the slope of the line. Overview of Lesson Teacher Centered Introduction Student Centered Activities Overview of Lesson guided practice anticipates, monitors, selects, sequences, and Teacher: connects student work - activate students’ prior knowledge - developing essential skills - vocabulary - Regents exam questions - learning objective(s) - formative assessment assignment (exit slip, explain the math, or journal - big ideas: direct instruction entry) - modeling VOCABULARY transform equivalent relationship isolate y = mx +b form BIG IDEAS Three Facts About Graphs and Their Equations 1. The graph of an equation represents the set of all points that satisfy the equation (make the equation balance).
E – Linear Equations, Lesson 3, Writing Linear Equations (r. 2018) LINEAR EQUATIONS Writing Linear Equations Common Core Standard A-REI.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 be a line). Next Generation Standard AI-A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane. Note: Graphing linear equations is a fluency for Algebra I. Students become fluent in solving characteristic problems involving the analytic geometry of lines, such as writing down the equation of a line given a point and a slope. Such fluency can support them in solving less routine mathematical problems involving linearity; as well as modeling phenomena. LEARNING OBJECTIVES Students will be able to: Determine if different equations represent the same mathematical relationship between two variables. Write the equation of a line of a line given two points on the line or one point and the slope of the line. Overview of Lesson Teacher Centered Introduction Overview of Lesson - activate students’ prior knowledge - vocabulary - learning objective(s) - big ideas: direct instruction - modeling Student Centered Activities guided practice Teacher: anticipates, monitors, selects, sequences, and connects student work - developing essential skills - Regents exam questions - formative assessment assignment (exit slip, explain the math, or journal entry) VOCABULARY transform isolate equivalent y = mx +b form relationship BIG IDEAS Three Facts About Graphs and Their Equations 1. The graph of an equation represents the set of all points that satisfy the equation (make the equation balance).
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