Here are my M&I class’s standards for chapters 1-3. Students had considerable input into the formulation of these standards.

**Standard:** I can use consistent and correct vector notation.

**Proficiency Indicator(s):** Correct vector notation is used consistently throughout a problem or explanation.

**Mastery Rubric:** Vectors are indicated with arrows. Vector components are indicated with appropriate subscripts or indices. Vector magnitudes are indicated with single or double bars.

**Standard:** I can recognize the signs of an interaction.

**Proficiency Indicator(s):** Given a system’s behavior, I can state whether or not an interaction is present.

**Mastery Rubric:** List or otherwise articulate which signs of an interaction are present or absent.

**Standard:** I can correctly write and apply the momentum principle for a chosen system.

**Proficiency Indicator(s):** Given a system, I can write the momentum principle as it applies to the system, including terms for the individual momentum contributions to the total momentum and for all external interactions affecting the system.

**Mastery Rubric:** All parts of the system, and their contributions to the total momentum, are accounted for. All external interactions affecting the system are accounted for.

**Standard:** I can infer physical consequences from the momentum principle for a chosen system.

**Proficiency Indicator(s):** I can determine whether or not the system’s total momentum is conserved. I can choose my system to make certain calculations mathematically simpler.

**Mastery Rubric:** Inferences must be directly drawn from the momentum principle.

**Standard:** I can draw a correct schema for a chosen system.

**Proficiency Indicator(s):** Given a problem, I can draw a schema that includes all relevant entities, the interactions among those entities, and a choice of system.

**Mastery Rubric:** Persistent interactions are drawn with solid arrows. Temporary interactions are drawn with dotted or dashed arrows. Arrows representing interactions must be labeled.

**Standard:** I can draw a correct free body diagram for a chosen system.

**Proficiency Indicator(s):** Given a system, draw the free body diagram for that system within the current context.

**Mastery Rubric:** The system must be represented as a solid dot. Interactions must be represented with correctly labeled arrows. Arrows’ magnitudes and directions must be correct relative to each other. The diagram must correctly represent the physical content of the problem.

**Standard:** I can correctly calculate gravitational, electric, and spring forces.

**Proficiency Indicator(s):** Given particles or entities that can be approximated as particles, calculate either relevant force (magnitude and direction) on any one of the entities.

**Master Rubric:** Calculations must include relevant units. Magnitudes and directions must be correct and must be explicitly accounted for. The relevant arithmetic and algebra must be correct.

**Standard:** I can predict motion using iterative calculations.

**Proficiency Indicator(s):** Given a particle and all relevant interactions affecting that particle, correctly predict the particle’s future motion using the momentum principle.

**Mastery Rubric:** The update form of the momentum principle must be used. Momentum must be updated to reflect relativistic velocity if necessary.