Third Quarter Unit Focus: Graphing/Writing Linear Equations and Systems of Equations Unit Length: 9 weeks Chapters Covered: Chapter 4 and 5 Standards: Materials Needed: Priority: 8.EE.5‐8, 8.F.4  Big Ideas Text Supporting: 7.EE.3‐4, 7.RP.2  Graphing Calculators Additonal: 8.SP.1‐3, 8.F.1‐3 Standards for Mathematical Practice: Formative Assessments:  MP1—make sense of problems  Entrance and Exit Tickets  MP2—reason abstractly and quantitatively  Homework/Independent Practice  MP3—construct viable arguments  Chapter Quizzes  MP4—model with mathematics  Error Analysis Problems Summative Assessments:  MP5—use appropriate tools strategically  Chapter Tests  MP6—attend to precision  Pre and Post Quarterly Assessments  MP7—look for & make use of structure  MAP  MP8—look for & express regularity in repeated reasoning Essential Learning Objectives: Essential Questions:  Students will be able to understand proportional relationships when  How can you recognize a linear equation? How can you draw its interpreting the slope of a line. graph?  Students will be able to solve a system of two linear equations with  How can you use the slope of a line to describe the line? two variables by graphing or algebraically.  How can you describe the graph of the equation y=mx?  Students will be able to construct a function to model a linear  How can you describe the graph of the equation y=mx+b? relationship between two quantities.  How can you describe the graph of the equation ax+by=c?  How can you write an equation of a line when you are given the slope and the y‐intercept of the line?  How can you write an equation of a line when you are given the slope and a point on the line?  How can you solve a system of linear equations?  How can you use substitution to solve a system of linear equations?  How can you use elimination to solve a system of linear equations?  Can a system of linear equations have no solution? Can a system of linear equations have many solutions? 1
Chapter 4 Concepts:  Graphing Linear Equations  Slope of a Line  Graphing Proportional Relationships  Graphing Linear Equations in Slope‐Intercept Form  Graphing Linear Equations in Standard Form  Writing Equations in Slope‐Intercept Form  Writing Equations in Point‐Slope Form Chapter 5 Concepts:  Solving Systems of Linear Equations by Graphing  Solving Systems of Linear Equations by Substitutions  Solving Systems of Linear Equations by Elimination  Solving Special Systems of Linear Equations Target Academic Vocabulary:  Linear Equation  Solution of a Linear Equation  Slope  Rise  Run  X‐Intercept  Y‐Intercept  Slope‐Intercept Form  Standard Form  Point‐Slope Form  System of Linear Equations  Solution of a System of Linear Equations Additional Resources/Materials:  Engage New York  ISBE Model Math Curriculum (Live Binders)  Illustrative Mathematics  Classkick  PARCC Resource Center  MARS Unit Modifications/Adaptations (EL, SPED, Gifted Learners):  Delivery of Instruction  Extended Time  Level of Difficulty  Degree of Participation  Parallel Curriculum *specific modifications/adaptations will be noted in lessons 2