MAT-HS.A-REI.06

MAT-HS Targeted Standards
(A) Concept: Algebra
(REI) Domain: Reasoning with Equations and Inequalities
Cluster: Solve systems of equations

MAT-HS.A-REI.06 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Student Learning Targets:

Knowledge Targets

  • I can
  • I can

Reasoning Targets

  • I can
  • I can

Skills (Performance) Targets

  • I can solve systems of equations using graphing (exactly and approximating).
  • I can solve systems of equations using substitution.
  • I can solve systems of equations using linear combination (or elimination).
  • I can explain when there is one solution, no solution, or infinitely many solutions that may arise from a system.
  • I can solve for (isolate) a specific variable.
  • I can perform transformations that produce equivalent equations (e.g., adding the same amount to both sides of the equation, etc.).
  • I can check the solution.
  • I can set a polynomial equal to zero and solve by factoring, quadratic formula, graphing, linear combinations, and substitution.
  • I can solve for (isolate) a specific variable.
  • I can write a linear system.
  • I can perform transformations that produce equivalent equations (e.g., adding the same amount to both sides of the equation, etc.)
  • I can check the solution.
  • I can solve a quadratic.
  • I can multiply and factor polynomials.
  • I can solve a linear inequality.
  • I can graph a linear inequality.
  • I can solve a system of linear inequalities.
  • I can graph a system of linear inequalities.
  • I can check the solution of the system.
  • I can solve a linear system (substitution, linear combination, graphically).
  • I can write a linear system.
  • I can identify the number of solutions of a linear system.
  • I can identify the most efficient method to solve a system.
  • I can check the solution of the system.

Product Targets

  • I can
  • I can

Proficiency Scale

Score   Description Sample Activity
4.0 In addition to achieving level 3.0 content, the student makes in-depth inferences and applications that go beyond what was taught
  • Solve a  3x3 system of equations

2x-y+5z=16
x-3y+2z=5
x+2y+z=7
  3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.
3.0

The student can:

  • solve systems of equations using substitution

  • solve systems of equations using linear combination (or elimination)

  • explain when there is one solution, no solution, or infinitely many solutions that may arise from a system.


The student exhibits no major errors or omissions.

Solve the following system of equations using your preferred method.

x – 2y = –9

x + 3y = 16

 

  2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content).
2.0

There are no major errors or omissions regarding the simpler details and processes as the student can:

  • recognize and recall basic terminology. such as:

    • linear combination (elimination)

    • substitution

    • solution

    • infinitely many solutions

    • no solution

    • system of equations

    • ordered pair

  • determine if an ordered pair is a solution to a system.

  • solve systems of equations using graphing (exactly and approximating)



However, the student exhibits major errors or omissions regarding the more complex ideas and processes.

Estimate the solution to the following system.

Determine that the ordered pair (5, 4) is a solution to the system.

2x-3y=-2
4x+y=24

  1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content).
1.0 With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. -
  0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content).

Resources

Web

Vocab

  • linear combination
  • elimination method
  • substitution method

» MAT-HS: Algebra