This learning progression was created for a 9th grade Algebra 1 class. It is supported by the textbook, “Algebra 1: Applications, Equations, Graphs,” by Larson, Boswell, Kanold, and Stiff. The progression follows chapter 7, sections 1-3 in the text. The main focus of this progression is to teach students how to solve systems of linear equations by graphing, substitution, and combination.
Common Core State Standard:
CCSS.MATH.CONTENT.HSA.REI.C.5: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
CCSS.MATH.CONTENT.HSA.REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Common Core Mathematical Practices:
MP1: Make sense of problems and persevere in solving them
MP2: Reason abstractly and quantitatively
MP6: Practice attention to precision