Student Detail / Individual report · 4 weeks

Jake Lee

Grade 7 · Pre-Algebra — prime factorization, integers & rationals, expressions, linear equations On track · praise recommended
69 problems
Solved in 4 weeks
203 cumulative
74% ▲ 12pp
Accuracy
Last month 62% → 74%
65%
Independent solving
▲ 18pp vs last month
15 days
Study streak
Ongoing as of generation date
31 min
Daily average
Peak: 5–6 PM, right after academy
9 sessions
Socratic tutoring
Avg 16 min · 6 on equation set-up

Learning Profile — 6 areas

All axes normalized to 0–100 · derivation in footnotes
25 50 75 100 Concept understanding 721 Procedural fluency 802 Calculation accuracy 903 Application 554 Consistency 755 Independent solving 656
Jake Lee Same-grade median 70% — common baseline on all axes (Grade 7, n=15,200)
  1. 1 Concept understanding 72 — converted from the 4-week accuracy of 74%
  2. 2 Procedural fluency 80 — directly from Solving Linear Equations, 80% (12/15)
  3. 3 Calculation accuracy 90 — only 2 calculation slips in 4 weeks · top-tier level reflected
  4. 4 Application 55 — directly from Linear Equation Word Problems, 55% (6/11)
  5. 5 Consistency 75 — composite of the 15-day streak · 31 min/day
  6. 6 Independent solving 65 — directly from the 65% independent solve rate

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

Shading = this report period (4 weeks) · Six straight weeks of gains, small pullback last week
Report period (4 weeks) 40 60 80 100 Median 70 Week of 6/15 · 66% Week of 6/22 · 69% Week of 6/29 · 71% Week of 7/6 · 73% Week of 7/13 · 75% Week of 7/20 · 74% 66 75 74 6/15 6/22 6/29 7/6 7/13 7/20
Jake Lee — weekly accuracy Same-grade median 70% (Grade 7, n=15,200)
6/15
66%
—
6/22
69%
▲ 3
6/29
71%
▲ 2
7/6
73%
▲ 2
7/13
75%
▲ 2
7/20
74%
▼ 1

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

Unit Correct/Incorrect (● correct · ○ incorrect) Accuracy · Sample Stage
Prime Factorization ●●●●●●●●●●●○ 92% · 11/12 Proficient
Integers & Rationals ●●●●●●●●●●●●●○○○ 81% · 13/16 Proficient
Variables & Expressions ●●●●●●●●●○○○○○○ 60% · 9/15 Developing
Solving Linear Equations ●●●●●●●●●●●●○○○ 80% · 12/15 Proficient
Linear Equation Word Problems ●●●●●●○○○○○ 55% · 6/11 Beginning · bottleneck
Symbols show each unit's correct/incorrect composition, not solving order. Mastery bands: Beginning <60% · Developing 60–79% · Proficient 80–92% · Mastered >92%.

Teaching Notes

Teaching Notes

Diagnosis · Bottleneck — translating words into equations

Calculation is accurate — only 2 calculation slips in 4 weeks. The bottleneck is the words-to-equation translation step in word problems. 4 of the 5 word-problem misses occurred before the equation was even set up; once the equation is in place, the solving is accurate. The gap between Solving Linear Equations at 80% (12/15) and Word Problems at 55% (6/11) backs this up.

Error Classification · 5 Linear Equation Word Problem misses

Equation set-up stage4 · 80%
Unit conversion slip1 · 20%

The minutes↔hours conversion was missed twice in 4 weeks.

Error Review · 1 representative miss (actual answer)

Case 01 · Linear Equation Word Problems
ProblemDistance-rate-time problem — unify the time units before setting up the equation
StudentPlugged "15 minutes" in as 15 (mixed time units)
CorrectConvert 15 min = 1/4 hour first, then substitute
The equation structure is correct — only the one unit-conversion step was missed.

Session Log · Socratic dialogue excerpt — 7/21, Linear Equation Word Problems

AI"Before we write the equation, let's decide what x stands for. What would be a good choice for x?"
Jake"x minutes after my younger brother left?"
AI"Good. Then how can you express the older brother's travel time using x?"
Jake"x+10. Oh — then I can set the two distances equal."

9 sessions in 4 weeks · avg 16 min · 6 of them supported the equation set-up step — the guiding is working well.

Strength Signals · positive indicators

  • Accuracy +12pp (last month 62% → 74%) · independent solving +18pp — both indicators rising together.
  • Accurate calculation — only 2 calculation slips in 4 weeks.
  • 15-day study streak · 31 min per day — a stable learning rhythm.

This Week's Action Plan

Action Plan
1
8 "set-up only" word-problem exercises
No solving required — isolate and practice only the words-to-equation translation step.
2
A one-page unit-conversion checklist
Minutes↔hours, km↔m. The unit-conversion slip was observed twice in 4 weeks.
3
Tell him about his growth directly
+12pp is data you can use for motivation.
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