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"I Can" Statement and Core Standards
"I Can" Statement and Core Standards
Student Statement
I am able to find the intersection point on a pair of lines using graphing, substitution, or elimination.
Common Core Standards
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.
REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
REI.D.11: 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); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations.
Problem Exemplars
Problem Exemplars
The following are examples of mistakes that should give you an idea what types of mistakes I am looking for at each level. There are a variety of possible errors while solving problems like this, so this is not an exhaustive list.
As a reminder, here is the scale that is used in class to determine your ability level for each topic:
Systems of Equations.pdfSolving Systems of Equations Problem Randomizer
Solving Systems of Equations Problem Randomizer
Below you can select either Substitution or Elimination method. You will use the equations to find the intersection point. Reveal the answers with the "Check Answers" button. Round all answers to the nearest thousandth when working the problem (for example: 2.375442 would become 2.375).
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