MATHS Targeted Standards (A) Concept: Algebra (REI) Domain: Reasoning with Equations and Inequalities Cluster: Understand solving equations as a process of reasoning and explain the reasoning
MATHS.AREI.03 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. .
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 solve linear equations in one variable, including equations with coefficients represented by letters**.
I can solve linear inequalities in one variable, including inequalities with coefficients represented by letters**.
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 indepth inferences and applications that go beyond what was taught
3c+4=6
x+3+2<5
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 student can:
o solves linear equations with one variable:
Additive Inverse
Multiplicative Inverse
Distributive Property
Combine like terms
Proportions
**including special cases of no solution, infinitely many solutions
o solve and graph the solution set of linear inequalities with one variable:
Apply the properties of linear equation
Multiplicative Inverse of negative coefficients
The student exhibits no major errors or omissions.
o 3(h4)=12246h+2h
o 52c3=37c+4
o 67y642
o Solve for x: ax+bc=d
o 4<k+3<8
o Solve. 3x + 5 = 3x – 8; 2(3x+4) = 6x + 8
o 5y + 7 < 3 or 3y  2 > 13
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:
o demonstrates basics processes (HS.AREI.01)
onestep equations/inequalities
twostep equations/inequalities
However, the student exhibits major errors or omissions regarding the more complex ideas and processes.
o 3x=14
o 3x+52x=10
o x2=83
o 4x17
o Solve for x: x+y=c
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).