Two.Sigma

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Run #774

done rubric v1 session 79240140 gemini-3.7-flash 2026-09-21 02:21
Session in Sessions →

The recording

What the student sent the question as it arrived, then each reading of it

OCR of the image GOOGLE_VISION

11. रिक्त स्थानों की पूर्ति करें- 0 तो 8 का न्यूनतम धन मान =........ (i) यदि cos 6 = (ii) यदि sin 6 = 3215 तो 0° से 90° के बीच 8 का मान = .. (iii) यदि √3tan 6 = 1 तो 6 का मान = 17.

The audit's reading of the question, which is what the Product AI judged against:

11. रिक्त स्थानों की पूर्ति करें- (i) यदि cos θ = √3/2 तो θ का न्यूनतम धन मान = ..... (ii) यदि sin θ = 1/√2 तो 0° से 90° के बीच θ का मान = ..... (iii) यदि √3tan θ = 1 तो θ का मान = .....

Audit's summary: The student asked a question about finding the minimum positive value of θ when cos θ = √3/2. The tutor explained that cos θ is positive in the first quadrant and that the minimum positive value of θ is 30°. The tutor also mentioned that there could be other values of θ, but 30° is the minimum positive one. The tutor wrote down the steps to solve the problem and concluded that θ = 30°.

Transcript 1,137 characters · 50 stripped

Read it no speaker labels — tutor and student run together

Hello Ankur, good afternoon. Good afternoon. Which question do you have doubts about? Cos. Cos? Okay. So, your question is cos theta rho 3 by 2. You have to learn theta's minimum value. So, tell me this. What is the positive of your cos theta in which quadrant? Tell me this. Tell me this. Cos theta is positive in this. Now you have to calculate the value of the first quadrant. Because the angle you calculate is in the opposite direction of the needle. So you will get the most optimal value here. So, you will get cos theta equal to root 3 by 2. Now see, there can be two values. One will come in this and the other in this. So, you will get this value. Why? Because the value that will come here will be the minimum. So, tell me, cos theta, root 3 by 2, in the first quadrant, what cos angle is equal to? Now tell me once. The angle of the angle is equal to 30 degrees. The difference between the angles is that the angles are equal. So, if you want to know the value of theta, you can write it down here. यहां से थीता की वैल्यू 330 आ रही है, लेकिन आपको मिनिमम वैल्यू बतानी है, यह आंसर हो जाएगी आपकी, ठीक है? Thank you for watching.

What the student sent the question as it arrived, then each reading of it

OCR of the image GOOGLE_VISION

11. रिक्त स्थानों की पूर्ति करें- 0 तो 8 का न्यूनतम धन मान =........ (i) यदि cos 6 = (ii) यदि sin 6 = 3215 तो 0° से 90° के बीच 8 का मान = .. (iii) यदि √3tan 6 = 1 तो 6 का मान = 17.

The audit's reading of the question, which is what the Product AI judged against:

11. रिक्त स्थानों की पूर्ति करें- (i) यदि cos θ = √3/2 तो θ का न्यूनतम धन मान = ..... (ii) यदि sin θ = 1/√2 तो 0° से 90° के बीच θ का मान = ..... (iii) यदि √3tan θ = 1 तो θ का मान = .....

Audit's summary: The student asked a question about finding the minimum positive value of θ when cos θ = √3/2. The tutor explained that cos θ is positive in the first quadrant and that the minimum positive value of θ is 30°. The tutor also mentioned that there could be other values of θ, but 30° is the minimum positive one. The tutor wrote down the steps to solve the problem and concluded that θ = 30°.

Transcript 1,137 characters · 50 stripped

Read it no speaker labels — tutor and student run together

Hello Ankur, good afternoon. Good afternoon. Which question do you have doubts about? Cos. Cos? Okay. So, your question is cos theta rho 3 by 2. You have to learn theta's minimum value. So, tell me this. What is the positive of your cos theta in which quadrant? Tell me this. Tell me this. Cos theta is positive in this. Now you have to calculate the value of the first quadrant. Because the angle you calculate is in the opposite direction of the needle. So you will get the most optimal value here. So, you will get cos theta equal to root 3 by 2. Now see, there can be two values. One will come in this and the other in this. So, you will get this value. Why? Because the value that will come here will be the minimum. So, tell me, cos theta, root 3 by 2, in the first quadrant, what cos angle is equal to? Now tell me once. The angle of the angle is equal to 30 degrees. The difference between the angles is that the angles are equal. So, if you want to know the value of theta, you can write it down here. यहां से थीता की वैल्यू 330 आ रही है, लेकिन आपको मिनिमम वैल्यू बतानी है, यह आंसर हो जाएगी आपकी, ठीक है? Thank you for watching.

Review team

no_issue

Product AI

nothing found

teaching Yes · mistakes No · satisfactory Yes

Each verdict takes your own. Yours is stored against the stack's, so “where is it wrong most often” is a question with an answer.

  1. Work is the right way up Canvas and problem orientation is upright at 0 degrees
    While Frame 1 shows a portrait document, from Frame 2 onwards the question and tutor writing are correctly oriented at 0 degrees upright.
    seen · 98% confident
  2. Your view
  3. Writing is legible at video size Handwriting is clear and readable
    In Frames 3 to 8, mathematical notation and labels are drawn with clear contrast and adequate spacing on the dark whiteboard.
    seen · 95% confident
  4. Your view
  5. The work fills the frame Not applicable to a board session
    seen
  6. Nothing distracting in shot Not applicable to a board session
    seen
  7. The student's problem is established Question is clearly displayed at the top left
    Question 11(i) ('यदि cos θ = √3/2 तो θ का न्यूनतम धन मान...') is clearly visible in Frames 2–8.
    seen · 98% confident
  8. Your view
  9. Work proceeds in followable steps Working develops sequentially across the canvas
    Quadrant layout is established on the right (Frames 2–3) and mathematical deductions follow sequentially on the left (Frames 4–8) without clutter or erasure.
    seen · 95% confident
  10. Your view
  11. It reaches an answer Working reaches the complete solution
    In Frame 8, both relevant angles (30° and 330°) are derived and the minimum positive value (30°) is finalized.
    seen · 95% confident
  12. Your view
  13. Something was actually written board went from 9.67% to a peak of 24.5% covered (+14.82 points), ending at 18.01%
    measured
  14. Your view
  15. The concept is named before the working Tutor explicitly mentions quadrant signs and angle values
    The tutor states: 'What is the positive of your cos theta in which quadrant?' establishing quadrant-based sign rules for trigonometric ratios.
    heard · 90% confident
  16. Your view
  17. Explained rather than jumped to the answer Concept of quadrant sign was explained prior to algebraic solving
    The tutor sets up the quadrant diagram and explains positive angles in Frames 2–3 before writing out the equation steps in Frame 4.
    heard · 92% confident
  18. Your view
  19. Solved step by step, not in one leap Solution steps progress systematically with justifications
    Work appears stage by stage from Frame 3 to Frame 8, showing intermediate quadrant analysis, standard angle identification, and 4th quadrant angle calculation.
    heard · 95% confident
  20. Your view
  21. The session opens properly Tutor greets student and confirms question
    Transcript confirms greeting: 'Hello Ankur, good afternoon' and confirms the question: 'Which question do you have doubts about? Cos...'.
    heard · 95% confident
  22. Your view
  23. No long dead air 0 gaps over 6.0s, 0s total (0% of the session), longest 0s
    Silence is below -35.0dB — a crude measure on a phone microphone, so treat a low count as weak evidence rather than proof the tutor was talking.
    measured
  24. Your view
Observations judged, but not counted as the lab objecting
  1. The camera holds still Not applicable to a board session
    Not counted: Measured over 183 known-bad and 29 known-good camera sessions (2026-09-21): raised on 87% of the bad and 86% of the good, and the motion distributions are the same shape — median frame difference 25 on the bad set, 27 on the good. No threshold on this number separates them, so it is reported and not counted.
    measured
  2. Exposure is usable Not applicable to a board session
    Not counted: Same two sets: it raised 6 of 183 known-bad and 2 of 29 known-good sessions. Both too few to mean anything, and the brightness distributions overlap almost exactly. The earlier reading that it 'fires more on clean sessions' was two sessions out of twenty-nine — noise, not an inverted rule.
    measured
  3. Understanding of the concept is checked Tutor asks conceptually directed questions
    The tutor asks: 'What is the positive of your cos theta in which quadrant?' and 'cos theta, root 3 by 2, in the first quadrant, what cos angle is equal to?'.
    Not counted: Raised on 87% of known-bad and 80% of known-good sessions. The criterion is honest about why in its own `why`: the transcript has no speaker labels, so a real check and a rhetorical 'ok?' are often indistinguishable, and the bar ends up one almost no session clears. Still judged and shown, because reading it beside a recording is how it gets better.
    heard
  4. Your view

Measured

Duration200s (3.3 min)
Video1280×800 @ 10.0fps
Audio trackyes
Shot changes
Dead air0 gaps ≥6.0s · 0s total · longest 0.0s
Lumaavg 64.4 · min · max
Mediumboard 78.6% flat background
Content written9.67% → 18.01% (+14.82)
Transcript 1137 characters of speech
Frames8

What the model returned verbatim

{
  "findings": [
    {
      "key": "orientation",
      "verdict": "ok",
      "headline": "Canvas and problem orientation is upright at 0 degrees",
      "evidence": "While Frame 1 shows a portrait document, from Frame 2 onwards the question and tutor writing are correctly oriented at 0 degrees upright.",
      "confidence": 0.98
    },
    {
      "key": "legibility",
      "verdict": "ok",
      "headline": "Handwriting is clear and readable",
      "evidence": "In Frames 3 to 8, mathematical notation and labels are drawn with clear contrast and adequate spacing on the dark whiteboard.",
      "confidence": 0.95
    },
    {
      "key": "question_captured",
      "verdict": "ok",
      "headline": "Question is clearly displayed at the top left",
      "evidence": "Question 11(i) ('यदि cos θ = √3/2 तो θ का न्यूनतम धन मान...') is clearly visible in Frames 2–8.",
      "confidence": 0.98
    },
    {
      "key": "structure",
      "verdict": "ok",
      "headline": "Working develops sequentially across the canvas",
      "evidence": "Quadrant layout is established on the right (Frames 2–3) and mathematical deductions follow sequentially on the left (Frames 4–8) without clutter or erasure.",
      "confidence": 0.95
    },
    {
      "key": "completion",
      "verdict": "ok",
      "headline": "Working reaches the complete solution",
      "evidence": "In Frame 8, both relevant angles (30° and 330°) are derived and the minimum positive value (30°) is finalized.",
      "confidence": 0.95
    },
    {
      "key": "concept_named",
      "verdict": "ok",
      "headline": "Tutor explicitly mentions quadrant signs and angle values",
      "evidence": "The tutor states: 'What is the positive of your cos theta in which quadrant?' establishing quadrant-based sign rules for trigonometric ratios.",
      "confidence": 0.9
    },
    {
      "key": "explained_before_solving",
      "verdict": "ok",
      "headline": "Concept of quadrant sign was explained prior to algebraic solving",
      "evidence": "The tutor sets up the quadrant diagram and explains positive angles in Frames 2–3 before writing out the equation steps in Frame 4.",
      "confidence": 0.92
    },
    {
      "key": "concept_checked",
      "verdict": "ok",
      "headline": "Tutor asks conceptually directed questions",
      "evidence": "The tutor asks: 'What is the positive of your cos theta in which quadrant?' and 'cos theta, root 3 by 2, in the first quadrant, what cos angle is equal to?'.",
      "confidence": 0.9
    },
    {
      "key": "step_by_step",
      "verdict": "ok",
      "headline": "Solution steps progress systematically with justifications",
      "evidence": "Work appears stage by stage from Frame 3 to Frame 8, showing intermediate quadrant analysis, standard angle identification, and 4th quadrant angle calculation.",
      "confidence": 0.95
    },
    {
      "key": "opening",
      "verdict": "ok",
      "headline": "Tutor greets student and confirms question",
      "evidence": "Transcript confirms greeting: 'Hello Ankur, good afternoon' and confirms the question: 'Which question do you have doubts about? Cos...'.",
      "confidence": 0.95
    }
  ]
}

Frames in order, one every ~25s

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