CCSS Algebra 1 Pacing Chart – Unit 6

Unit / Week / Day / CCSS Standards / Mathematical Practices / Objective / I Can Statements
6 – Systems of Equations / 16 – Systems of Equations / 76 / CCSS.MATH.CONTENT.HSA.REI.D.11
Explain why thex-coordinates of the points where the graphs of the equationsy=f(x) andy=g(x) intersect are the solutions of the equationf(x) =g(x); find the solutions approximately, e.g., using technology to graph to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.* / CCSS.MATH.PRACTICE.MP5Use appropriate tools strategically.
CCSS.MATH.PRACTICE.MP7 Look for and make use of structure. / The student will be able to approximate solutions to systems of two equations using graphing technology. / I can approximate solutions to systems of two equations using graphing technology.
6 – Systems of Equations / 16 – Systems of Equations / 77 / CCSS.MATH.CONTENT.HSA.REI.D.12
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. / CCSS.MATH.PRACTICE.MP3Construct viable arguments and critique the reasoning of others. / The student will be able to graph the solution to systems of linear inequalities in two variables. / I can graph the solution to systems of linear inequalities in two variables.
6 – Systems of Equations / 16 – Systems of Equations / 78 / CCSS.MATH.CONTENT.HSA.REI.D.11
Explain why thex-coordinates of the points where the graphs of the equationsy=f(x) andy=g(x) intersect are the solutions of the equationf(x) =g(x); find the solutions approximately, e.g., using technology to graph to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.* / CCSS.MATH.PRACTICE.MP6Attend to precision. / The student will be able to explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x). / I can explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x).
6 – Systems of Equations / 16 – Systems of Equations / 79 / CCSS.MATH.CONTENT.HSA.REI.D.12
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. / CCSS.MATH.PRACTICE.MP1 Make sense of problems and persevere in solving them. / The student will be able to identify the solutions as a region of the plane. / I can identify the solutions as a region of the plane.
6 – Systems of Equations / 16 – Systems of Equations / 80 / Assessment / Assessment / Assessment / Assessment
6 – Systems of Equations / 17 – Elimination / 81 / CCSS.MATH.CONTENT.HSA.REI.D.12
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. / CCSS.MATH.PRACTICE.MP5Use appropriate tools strategically.
CCSS.MATH.PRACTICE.MP7 Look for and make use of structure. / The student will be able to graph the solution to systems of linear inequalities in two variables. / I can graph the solution to systems of linear inequalities in two variables.
6 – Systems of Equations / 17 – Elimination / 82 / 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. / CCSS.MATH.PRACTICE.MP2Reason abstractly and quantitatively. / The student will be able to solve a system of equations exactly (with algebra) and approximately (with graphs). / I can solve a system of equations exactly (with algebra) and approximately (with graphs).
6 – Systems of Equations / 17 – Elimination / 83 / 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. / CCSS.MATH.PRACTICE.MP7 Look for and make use of structure. / The student will be able to solve a system of equations exactly (with algebra) and approximately (with graphs). / I can solve a system of equations exactly (with algebra) and approximately (with graphs).
6 – Systems of Equations / 17 – Elimination / 84 / 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.PRACTICE.MP2Reason abstractly and quantitatively. / The student will be able to explain why the sum of two equations is justifiable in the solving of a system of equations (property of equality). / I can explain why the sum of two equations is justifiable in the solving of a system of equations (property of equality).
6 – Systems of Equations / 17 – Elimination / 85 / Assessment / Assessment / Assessment / Assessment

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