Circulation Tracker Handout
Day / Week: Wednesday • Mix It Up #14 | Subject: 7th Grade Math
Mastery Goal ≥ 85%
Daily Monitoring Clipboard Tracker
Teacher: Date: Calculators: ● ON (per quiz specs)
Correct ● Prompt + Fixed ✕ Trap
Official Answer Key & Standards Identifier Standards: 7.NS.A.3 • 7.EE.1 • 7.EE.4.a
Q1 • 7.NS.A.3
C (-⅜)
Q2 • 7.NS.3
A (5) *
Q3 • 7.NS.3
B (-32 ft)
Q4 • 7.EE.1
B (3.2a-10)
Q5 • 7.EE.4.a
B (x = 14)
Q6 • 7.EE.4.a
D (x = -10)
Lap 1: Setup & Signs Min 1–4
Check Q1 & Q2 Look-Fors:
- • Q1: Converts ¼ to 2/8; computes (2/8 - 3/8) = -1/8; double negative -(-1/8) = +1/8; LCD is 24.
- • Q2: Fraction ¼ = 0.25; sums -0.75 - 0.25 = -1.0; preserves (-0.2); neg ÷ neg = +5.
Lap 2: Fluency & Rules Min 5–8
Check Q3 & Q4 Look-Fors:
- • Q3: Starts at -18⅔; descends 4 × (-3⅓) = -13⅓; adds negatives: -18⅔ + (-13⅓) = -32 ft.
- • Q4: Distributes 0.6 to BOTH terms: 3a - 6; converts ⅕a = 0.2a; combines (3a+0.2a) & (-6-4).
Lap 3: Rigor & Transfer Min 9–13
Check Q5 & Q6 Look-Fors:
- • Q5: Subtracts 12 from 40 to isolate 2x = 28; divides by coefficient 2 to get x = 14.
- • Q6: Adds +100 to both sides: 10x = -100; divides by 10 to find x = -10 (signs preserved).
| Student Name | Focus Tag | Lap 1 (Q1-2) | Lap 2 (Q3-4) | Lap 3 (Q5-6) | Score | % | Intervention Note / Whisper Cue |
|---|
| 1. _________________ | [ IEP / ELL / T2 ] | Q1[ ] Q2[ ] | Q3[ ] Q4[ ] | Q5[ ] Q6[ ] | / 6 | % | |
| 2. _________________ | [ IEP / ELL / T2 ] | Q1[ ] Q2[ ] | Q3[ ] Q4[ ] | Q5[ ] Q6[ ] | / 6 | % | |
| 3. _________________ | [ IEP / ELL / T2 ] | Q1[ ] Q2[ ] | Q3[ ] Q4[ ] | Q5[ ] Q6[ ] | / 6 | % | |
| 4. _________________ | [ IEP / ELL / T2 ] | Q1[ ] Q2[ ] | Q3[ ] Q4[ ] | Q5[ ] Q6[ ] | / 6 | % | |
| 5. _________________ | [ IEP / ELL / T2 ] | Q1[ ] Q2[ ] | Q3[ ] Q4[ ] | Q5[ ] Q6[ ] | / 6 | % | |
| 6. _________________ | [ IEP / ELL / T2 ] | Q1[ ] Q2[ ] | Q3[ ] Q4[ ] | Q5[ ] Q6[ ] | / 6 | % | |
| 7. _________________ | [ IEP / ELL / T2 ] | Q1[ ] Q2[ ] | Q3[ ] Q4[ ] | Q5[ ] Q6[ ] | / 6 | % | |
| 8. _________________ | [ IEP / ELL / T2 ] | Q1[ ] Q2[ ] | Q3[ ] Q4[ ] | Q5[ ] Q6[ ] | / 6 | % | |
| Total Correct (/8): | Cohort Target | Q1: __/8 Q2: __/8 | Q3: __/8 Q4: __/8 | Q5: __/8 Q6: __/8 | __/48 | __% | Cohort Goal: ≥ 85% (Reteach threshold: < 70%) |
Show-Call Candidates (Project Under Doc Camera)
Pristine Exemplar
Student:
Item #: Q1 or Q4
Look for: Clear step-by-step LCD conversion (24) & proper distribution to BOTH terms.
Strategic Trap / Error
Student:
Item #: Q2 or Q6
Look for: Dropped negative sign on divisor (-0.2) or sign flip on -200 + 100.
Immediate 3-Min Huddle
Trigger: 2+ Missed
Student A: Student B:
Focus Item & Reteach Move: Target Q2 signed decimal division & Q4 term distribution before whole-class debrief.
Action: Turn & Talk cue / Micro-board check Timer: 3:00 max
Daily Warm-Up & Aggressive Monitoring Protocol • Active Classroom Circulation Page 1 of 2 • Monitoring Clipboard Tracker
Item Specs & Circulation Cues • Aggressive Monitoring
Daily Misconception Alerts & Intervention Prompts
Targeted Cues (Q1–Q6)
1 Standard: 7.NS.A.3 Key: C (-⅜)
Exemplar Solution:
(¼ - ⅜) = (2/8 - 3/8) = -⅛
-⅚ - (-⅛) + ⅓ = -⅚ + ⅛ + ⅓
LCD 24: -20/24 + 3/24 + 8/24 = -9/24 = -⅜
Anticipated Distractor Traps:
Trap A (-⅞): Subtracted without LCD or forgot double-negative sign flip.
Trap B (-⅝): Computed ¼ - ⅜ as +⅛; got -20 - 3 + 8 = -15/24 = -⅝.
Lap 1 Whisper Cue: "What happens when you subtract a negative fraction? What is the common denominator for 6, 8, and 3?"
2 Standard: 7.NS.3 Key: A (5) *Trap: B
Exemplar Solution:
¼ = 0.25 → (-0.75 - 0.25) = -1.0
(-1.0) ÷ (-0.2) = +5
*Key note: Teacher key marked B (-5) by dropping negative on divisor!
Anticipated Distractor Traps:
Trap B (-5): Dropped negative sign on divisor (-0.2), computing -1 ÷ 0.2 = -5.
Trap C (0.2) / D (2): Decimal place value division error (1 ÷ 0.2 = 5).
Lap 1 Whisper Cue: "Convert ¼ to a decimal first. What is a negative divided by a negative? Watch both signs!"
3 Standard: 7.NS.3 Key: B (32 ft below)
Exemplar Solution:
Start: -18⅔ ft. Descent: 4 × (-3⅓) = 4 × (-10/3) = -40/3 = -13⅓ ft.
Total: -18⅔ + (-13⅓) = -31 (3/3) = -32 ft
Answer: 32 feet below sea level
Anticipated Distractor Traps:
Trap A (5⅓ ft below): Subtracted 18⅔ - 13⅓ instead of combining negative depths.
Trap C/D (Above sea level): Confused 'below sea level' direction or signed elevation.
Lap 2 Whisper Cue: "If a submarine starts below sea level and descends deeper, do you add or subtract the depths?"
4 Standard: 7.EE.1 Key: B (3.2a - 10)
Exemplar Solution:
0.6(5a - 10) = 3a - 6
⅕a = 0.2a → Expression: 3a - 6 + 0.2a - 4
Combine terms: (3a + 0.2a) + (-6 - 4) = 3.2a - 10
Anticipated Distractor Traps:
Trap A (3.2a - 14): Forgot to distribute 0.6 to -10, leaving -10 - 4 = -14.
Trap C/D (3.1a): Miscalculated ⅕ as 0.1 instead of 0.2.
Lap 2 Whisper Cue: "Did you distribute 0.6 to BOTH terms inside the parentheses? What is 0.6 times -10?"
5 Standard: 7.EE.4.a Key: B (x = 14)
Exemplar Solution:
12 + 2x = 40
Subtract 12: 2x = 40 - 12 = 28
Divide by 2: x = 28 ÷ 2 = 14
Anticipated Distractor Traps:
Trap C (x = 28): Subtracted 12 but stopped before dividing by coefficient 2.
Trap D (x = 52): Added 12 to 40 instead of subtracting inverse: 40 + 12 = 52.
Lap 3 Whisper Cue: "What operation undoes positive 12? After isolating 2x, what is your second step to solve for x?"
6 Standard: 7.EE.4.a Key: D (x = -10)
Exemplar Solution:
-100 + 10x = -200
Add +100 to both sides: 10x = -200 + 100 = -100
Divide by 10: x = -100 ÷ 10 = -10
Anticipated Distractor Traps:
Trap B (x = -30): Subtracted 100 from -200 getting -300, then -300 ÷ 10 = -30.
Trap A (x = 10) / C (x = 30): Sign errors on integer addition or division.
Lap 3 Whisper Cue: "What is the opposite of -100? When you add 100 to -200 on the number line, what do you land on?"
Post-Assessment Debrief Protocol (5-Minute Reteach Loop)
Whole-Group Turn & Talk / Stamp
Step 1: Stamp Core Rule
Integer & Distributive Stamp: "Subtracting a negative turns into adding a positive (\(a - (-b) = a + b\)). When multiplying across parentheses, the factor must reach every single term."
Duration: 1.5 min
Step 2: Contrast Trap vs Correct
Project Q2 & Q4 Side-by-Side: Contrast \(-1.0 \div (-0.2) = +5\) against dropping the negative sign. Contrast distributing to both terms \((3a - 6)\) vs leaving \(-10\).
Duration: 2.0 min
Step 3: Setup Next Day / Preview
Thursday Warm-Up Preview: Have students write the 2-step equation template on their folders: (1) Undo addition/subtraction, (2) Undo multiplication/division.
Duration: 1.5 min
Daily Warm-Up & Aggressive Monitoring Protocol • Item Level Internalization Page 2 of 2 • Misconception Alerts & Intervention Prompts
