Single-problem validation

Block on a rough incline

1 student taskFull packWorkbench

Block on a rough incline

Run one observed attempt for this mechanics model before changing problem scope.

Full validation pack
  1. Run one student on one problem at a time; do not demo the full site first.
  2. Start from the public problem page, then switch to Solve mode before any answer-key exposure.
  3. Record attempt time, finish state, first hesitation checkpoint, first wrong path, and whether the reveal changes their explanation.
  4. Paste the copied Solve-mode attempt snapshot into notes as evidence, but do not treat it as a score or success verdict.
  5. Count the visible corrections or checker recoveries before the student can explain the governing equation in their own words.
  6. Record the exact first-success quote or mark no usable evidence; do not infer clarity from a correct final answer.
  7. Show the tutor the worksheet answer key only after the student attempt, then capture concrete reuse or rejection reasons.

Decision gate

Student task

Solve modeProblemWorksheet

Student can explain why "a = g(sin(theta) - mu_k cos(theta)) = 3.2 m s^-2" follows from the diagram state and givens.

Focus checkpoints

  • Choose the slope-aligned axes
  • Resolve weight perpendicular to the plane
  • Write friction from the normal force
  • Apply Newton's second law along the slope

Observe for

  • Does the student avoid this trap without prompting: Using mg instead of mg sin(theta) along the slope.
  • Which checkpoint caused the first real hesitation or correction?
  • Did the reveal help them explain the equation, or only copy the next algebra line?

Equation-choice spot checks

  • Choose the slope-aligned axesWhat feature of the diagram, sign convention, or givens makes "Choose the slope-aligned axes" the right next equation?
    Listen for: The slope-aligned axes make the acceleration one-dimensional. The block accelerates along x, while the y forces balance.Flag if: Reporting the acceleration with the opposite sign or with force/speed units.
  • Resolve weight perpendicular to the planeWhat feature of the diagram, sign convention, or givens makes "Resolve weight perpendicular to the plane" the right next equation?
    Listen for: There is no acceleration through the plane, so the normal force balances the perpendicular component of weight.Flag if: Swapping sin(theta) and cos(theta) for the slope and normal components.
  • Write friction from the normal forceWhat feature of the diagram, sign convention, or givens makes "Write friction from the normal force" the right next equation?
    Listen for: Kinetic friction is proportional to the normal force and points up the plane because motion is down the plane.Flag if: Student can only quote "f_k = mu_k N = mu_k mg cos(theta)" without connecting it to the diagram state or givens.
  • Apply Newton's second law along the slopeWhat feature of the diagram, sign convention, or givens makes "Apply Newton's second law along the slope" the right next equation?
    Listen for: The down-slope component of weight is positive. Friction is negative because it acts up the slope.Flag if: Using mg instead of mg sin(theta) along the slope.; Adding friction in the direction of motion instead of subtracting it.
  1. Open the Solve-mode link for Block on a rough incline and ask the student to restate the target unknown before writing equations.
  2. Ask for the diagram state first: axes, direction assumptions, and the force or motion components they expect to use.
  3. Let the student attempt one scratch line before any checkpoint reveal, then use Check this line only after the attempt.
  4. If they stall, reveal one checkpoint and ask them to say which diagram element or given made that equation necessary.
  5. After the result checkpoint, ask for one sentence explaining why the chosen governing equation was the right model.

Tutor review prompts

  • Would you send /problems/rough-incline-acceleration to a student stuck on this exact problem?
  • Which checkpoint would save you the most explanation time?
  • Which diagram label, assumption, or rubric row feels misleading or too thin?
  • What one change would make this problem page worth reusing in a lesson?

Tutor rubric cues

  • Setup (0 / 1 / 2)Axes, sign convention, model constraints, and linked-motion/origin choices are stated.Score descriptions
    • 0No usable evidence for this row, or the work contradicts "Choose the slope-aligned axes".
    • 1Partly correct, but review this row's checkpoint signal: Reporting the acceleration with the opposite sign or with force/speed units.
    • 2Complete row: Axes, sign convention, model constraints, and linked-motion/origin choices are stated.
    Watch: Reporting the acceleration with the opposite sign or with force/speed units.
  • Components (0 / 1 / 2)Resolved components, force directions, normal/friction setup, or velocity split are correct.Score descriptions
    • 0No usable evidence for this row, or the work contradicts "Resolve weight perpendicular to the plane".
    • 1Partly correct, but review this row's checkpoint signal: Swapping sin(theta) and cos(theta) for the slope and normal components.
    • 2Complete row: Resolved components, force directions, normal/friction setup, or velocity split are correct.
    Watch: Swapping sin(theta) and cos(theta) for the slope and normal components.
  • Net-force / governing equation (0 / 1 / 2)The main Newton's law or motion equation uses the right model, signs, and shared variables.Score descriptions
    • 0No usable evidence for this row, or the work contradicts "Apply Newton's second law along the slope".
    • 1Partly correct, but review this row's checkpoint signal: Using mg instead of mg sin(theta) along the slope.
    • 2Complete row: The main Newton's law or motion equation uses the right model, signs, and shared variables.
    Watch: Using mg instead of mg sin(theta) along the slope.; Adding friction in the direction of motion instead of subtracting it.
  • Result (0 / 1 / 2)The final rearrangement, numeric value, units, and direction/speed interpretation are correct.Score descriptions
    • 0No usable evidence for this row, or the work contradicts "Cancel mass and calculate acceleration".
    • 1Partly correct, but review this row's checkpoint signal: Keeping mass in the final acceleration even though it cancels.
    • 2Complete row: The final rearrangement, numeric value, units, and direction/speed interpretation are correct.
    Watch: Keeping mass in the final acceleration even though it cancels.

Block on a rough incline session notes

Capture observed outcomes from real attempts: time, hesitation checkpoint, wrong path, copied Solve-mode snapshot evidence, recovery, equation-choice explanation, first-success evidence, manual tutor row scores, and tutor send-link decision.

Next-fix queue

Use after real attempts: carry only observed time, hesitation, wrong-path, recovery, equation-choice, first-success, manual tutor row-score, or tutor-rejection evidence into the next product slice. The evidence gate flags partial notes before they masquerade as product signals.

No observed attempts yet
Observed sessions: 0Ready for next-fix review: 0Need more observed evidence: 0

Run one single-problem Solve-mode attempt before choosing a product fix or adding another mechanics model.

No observed next fixes yet.

Block on a rough incline

Solve modeProblemWorksheetBrief

Focus checkpoints: Choose the slope-aligned axes; Resolve weight perpendicular to the plane; Write friction from the normal force; Apply Newton's second law along the slope

Tutor row-score template: Setup ___ / 2; Components ___ / 2; Net-force / governing equation ___ / 2; Result ___ / 2; reteach cue: ___

Seed from Solve snapshotPaste a copied Solve-mode attempt snapshot. Only filled starter fields are imported; placeholder blanks stay missing evidence.
Evidence checklistNeed all five evidence groups before this note can drive next-fix review.
  • Missingattempt time / finish stateAttempt time and finish state
  • Missingequation-choice evidenceEquation-choice explanation
  • Missingfirst-success quote or verdictFirst success-test evidence
  • Missingscratch, checker, or reveal evidenceWrong path or scratch line / Solve attempt snapshot evidence / Corrections before recovery / Reveal outcome
  • Missingmanual tutor row, tutor decision, or next-fix cueTutor row scores and reteach cue / Tutor send-link decision / Next fix before adding problems
Manual row-score summaryEnter observed 0/1/2 row scores to summarize manual tutor evidence.Blank row-score starters stay out of totals and do not count as grading.
Manual row-score helper0/1/2 rows from the existing tutor rubric. Blank starters do not count as evidence.
  • Setup ___ / 2Axes, sign convention, model constraints, and linked-motion/origin choices are stated.0: No usable evidence for this row, or the work contradicts "Choose the slope-aligned axes". | 1: Partly correct, but review this row's checkpoint signal: Reporting the acceleration with the opposite sign or with force/speed units. | 2: Complete row: Axes, sign convention, model constraints, and linked-motion/origin choices are stated.Watch: Reporting the acceleration with the opposite sign or with force/speed units.
  • Components ___ / 2Resolved components, force directions, normal/friction setup, or velocity split are correct.0: No usable evidence for this row, or the work contradicts "Resolve weight perpendicular to the plane". | 1: Partly correct, but review this row's checkpoint signal: Swapping sin(theta) and cos(theta) for the slope and normal components. | 2: Complete row: Resolved components, force directions, normal/friction setup, or velocity split are correct.Watch: Swapping sin(theta) and cos(theta) for the slope and normal components.
  • Net-force / governing equation ___ / 2The main Newton's law or motion equation uses the right model, signs, and shared variables.0: No usable evidence for this row, or the work contradicts "Apply Newton's second law along the slope". | 1: Partly correct, but review this row's checkpoint signal: Using mg instead of mg sin(theta) along the slope. | 2: Complete row: The main Newton's law or motion equation uses the right model, signs, and shared variables.Watch: Using mg instead of mg sin(theta) along the slope.; Adding friction in the direction of motion instead of subtracting it.
  • Result ___ / 2The final rearrangement, numeric value, units, and direction/speed interpretation are correct.0: No usable evidence for this row, or the work contradicts "Cancel mass and calculate acceleration". | 1: Partly correct, but review this row's checkpoint signal: Keeping mass in the final acceleration even though it cancels. | 2: Complete row: The final rearrangement, numeric value, units, and direction/speed interpretation are correct.Watch: Keeping mass in the final acceleration even though it cancels.