MAT-HS.A-REI.10

MAT-HS Targeted Standards
(A) Concept: Algebra
(REI) Domain: Reasoning with Equations and Inequalities
Cluster: Represent and solve equations and inequalities graphically

MAT-HS.A-REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Student Learning Targets:

Knowledge Targets

  • I can
  • I can

Reasoning Targets

  • I can
  • I can

Skills (Performance) Targets

  • I can find any solution to an equation in two variables from the graph of that equation.
  • I can graph the solution(s) of any linear or exponential function.
  • I can verify an ordered pair is a solution to the equation.

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

Given a quadratic function, identify two solutions.

Given more than one function on a graph, determine the solution of the system.  
  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:


  • Find any solution to an equation in two variables from the graph of that equation.

  • Graph the solution(s) of any linear or exponential function.

  • Verify an ordered pair is a solution to the equation.


The student exhibits no major errors or omissions.

Given the following function:  y=3x+2,  create a graph on a coordinate plane to show all solutions of the function.

Determine if the given point (4, ½ ) is a solution to the      

function y=212x


Given the following function, identify three solutions.

  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 vocabulary such as:

    • solution

    • ordered pair

    • coordinate plane

  • Graph a function, given a table of solutions or technology.

  • Evaluate using order of operations.

  • Plot ordered pairs on a coordinate plane.



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

» MAT-HS: Algebra