Recalled facts and procedural skills are the easiest to assess but perhaps the least important for students when compared to conceptual understanding and mathematical practices. For this assignment, choose a single content standard (e.g., something that you may actually be teaching in the next few weeks) and do the following:
- List your selected content standard.
- Write two items that allow you to assess conceptual understanding related to the single content standard you selected. We want you to actually create the items, or at least heavily adapt them to make them your own. Please do not just grab items from your textbook or a website.
- Be sure that students’ work on the item will also give you some information about their capabilities with respect to at least one mathematical practice. Assessing more than one mathematical practice is okay but not required.
- Write a brief rationale for your items, explaining any key choices that you made in creating them or pointing out any key features that you will look for in the student work. This should be less than 1 page, double-spaced.
RUBRIC:
3 points for the two items: they must be clearly associated with your selected standard, they must go beyond procedural skill, and there should be at least one mathematical practice that has a reasonable likelihood of appearing in the students’ work.
2 points for the brief rationale: A 2-point response will provide detail about how you believe the items reveal conceptual understanding and mathematical practices, beyond just recalled facts or procedures. A 1-point response will focus on surface features rather than the understandings assessed.
Content standard
Solve equations and inequalities in one variable MGSE9-12.A.REI.3 Solve linear equations and inequalities in one variable including equations with coefficients represented by letters. For example, given ax + 3 = 7, solve for x.