Student Detail / Individual report · 4 weeks

Ethan Kim

Grade 10 · Algebra 2 (advanced track) — exponents & logs, trigonometry, sequences Watch · 1 item
105 problems
Solved in 4 weeks
287 cumulative
83%
Accuracy
89% cumulative
78%
Independent solving
2 hint requests
23 days
Study streak
47 min
Daily average
Peak 10 PM
12 sessions
Socratic tutoring
Avg 21 min

Learning Profile — 6 areas

All axes normalized to 0–100 · derivation in footnotes
25 50 75 100 Concept understanding 851 Procedural fluency 742 Calculation accuracy 883 Application 614 Consistency 925 Independent solving 786
Ethan Kim Same-grade median 76% — common baseline on all axes (Grade 10, n=12,400)
  1. 1 Concept understanding 85 — composite of the 4-week accuracy (83%) and the share of Proficient/Mastered units
  2. 2 Procedural fluency 74 — reflects 4 procedural errors among the 7 Applications-of-Trig misses
  3. 3 Calculation accuracy 88 — reflects 2 calculation slips in 4 weeks (29% of the 7 misses)
  4. 4 Application 61 — directly from Applications of Trig, 61% (11/18)
  5. 5 Consistency 92 — composite of the 23-day streak · 47 min/day
  6. 6 Independent solving 78 — directly from the 78% independent solve rate

Last 6 weeks — weekly accuracy, weeks of 6/15–7/20

Shading = this report period (4 weeks) · Dip on entering a new unit (trig), then rebound — within normal range
Report period (4 weeks) 40 60 80 100 Median 76 Week of 6/15 · 91% Week of 6/22 · 90% Week of 6/29 · 87% Week of 7/6 · 84% Week of 7/13 · 79% Week of 7/20 · 83% 91 79 83 6/15 6/22 6/29 7/6 7/13 7/20
Ethan Kim — weekly accuracy Same-grade median 76% (Grade 10, n=12,400)
6/15
91%
—
6/22
90%
▼ 1
6/29
87%
▼ 3
7/6
84%
▼ 3
7/13
79%
▼ 5
7/20
83%
▲ 4

Practice Record — results by unit, this 4-week period

Unit Correct/Incorrect (● correct · ○ incorrect) Accuracy · Sample Stage
Exponents & Logarithms ●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●○○ 94% · 32/34 Mastered
Exponential & Log Functions ●●●●●●●●●●●●●●●●●●●●●●●●●○○○ 89% · 25/28 Proficient
Trig: Definitions & Graphs ●●●●●●●●●●●●●●○○○ 82% · 14/17 Proficient
Applications of Trig (Law of Sines & Cosines) ●●●●●●●●●●●○○○○○○○ 61% · 11/18 Developing · watch
Sequences ●●●●●○○○ 63% · 5/8 Small sample
Symbols show each unit's correct/incorrect composition, not solving order. Mastery bands: Beginning <60% · Developing 60–79% · Proficient 80–92% · Mastered >92%. Units with fewer than 8 problems are held from judgment (unit just started).

Teaching Notes

Teaching Notes

Diagnosis · New-unit entry period — within normal range

This 4-week dip in accuracy came with entry into a new unit (trigonometry), and a rebound has already begun — we judge it within normal range. The watch item is Applications of Trig (61% · 11/18) — a recurring procedural error of confusing angle-side correspondence in the Law of Cosines. One concept error was observed on the condition for applying the Law of Sines.

Error Classification · 7 Applications of Trig misses

Procedural (angle-side matching)4 · 57%
Calculation slips2 · 29%
Concept (Law of Sines condition)1 · 14%

Error Review · 1 representative miss (actual answer)

Case 01 · Applications of Trig
ProblemFind a side with the Law of Cosines in a triangle given angle B and two sides
Studenta² = b²+c²−2bc·cosB
Correctb² = a²+c²−2ac·cosB
Angle-side correspondence error — the left side must be the side opposite the given angle.

All 4 procedural errors occurred at this same point.

Session Log · Socratic dialogue excerpt — 7/23, Applications of Trig

AI"In the Law of Cosines that uses cos A, which side has to be the a on the left?"
Ethan"Just any side… oh, the side opposite angle A."
AI"Then in this problem, angle B is given — which side should go on the left?"
Ethan"b. I solved it with a there. Let me redo it."

12 sessions in 4 weeks · avg 21 min · caught his own error from guiding questions alone 9 times · 2 hint requests — a metacognitive strength.

Strength Signals · positive indicators

  • Top 8% of same-grade users — composite of accuracy and independent solving (DoubleDive Grade 10, n=12,400).
  • In 9 of 12 Socratic sessions, he caught his own error from guiding questions alone — strong self-correction potential.
  • 23-day study streak · 47 min per day — a stable learning rhythm.

This Week's Action Plan

Action Plan
1
Re-anchor angle-side correspondence in the Laws of Sines & Cosines
A 10-minute review with diagrams in the next class. All 4 procedural errors occurred at angle-side correspondence.
2
Assign 6 problems with varied figure conditions
6 variant problems with changed figure conditions · send as a DoubleDive homework pack.
3
Watch Sequences for 2 weeks
Observe for 2 weeks until the sample builds up, then judge the mastery stage.
This report is generated automatically from DoubleDive learning records and does not replace teacher judgment. Students and data are illustrative samples.
Generated Jul 27, 2026 (Mon) 6:00 AM · Report period Jun 29 – Jul 26, 2026 (4 weeks) · Next report Aug 3 (Mon) · Westfield Math Academy · Teacher: Ms. Susan Lee · ← All students