MATHS Targeted Standards (A) Concept: Algebra (REI) Domain: Reasoning with Equations and Inequalities Cluster: Solve systems of equations
MATHS.AREI.05 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.
Student Learning Targets:
Knowledge Targets
I can
I can
Reasoning Targets
I can
I can
Skills (Performance) Targets
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.
I can produce, with justification, from a system of two equations an equivalent simpler system.
Product Targets
I can
I can
Proficiency Scale
Score
Description
Sample Activity
4.0
In addition to Score 3.0, the student demonstrates indepth inferences and applications regarding more complex material that go beyond end of instruction expectations.

3.5
In addition to Score 3.0 performance, the student demonstrates indepth inferences and applications regarding the more complex content with partial success.
3.0
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations.

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
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content).

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, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content).

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).
0.0
Even with help, the student demonstrates no understanding or skill.