Target 301: 3/8
8 ) 3.000
3.0 ÷ 8 = 0.3 (rem 6); 60 ÷ 8 = 7 (rem 4); 40 ÷ 8 = 5.
= 0.375
Target 302: 5/6
6 ) 5.000
50 ÷ 6 = 8 (rem 2); 20 ÷ 6 = 3 (rem 2); repeats forever.
= 0.83̅ (bar over 3)
Target 303: 7/4
4 ) 7.00
7 ÷ 4 = 1 (rem 3); 30 ÷ 4 = 7 (rem 2); 20 ÷ 4 = 5.
= 1.75
STAAR Simulation 6.4G (7/20): Correct Answer: B (0.35)
A (0.035) placed decimal in wrong spot; C (2.85) divided 20 by 7!
W4 Mission Delta: Operation Decimal Shift Solutions Answer Key
Targets 401 & 402
Target 401 (43.2 ÷ 6): Divisor is whole. Float decimal up: 6 ) 43.2.
43 ÷ 6 = 7 (rem 1); 12 ÷ 6 = 2.
Quotient: 7.2
Target 402 (18.9 ÷ 0.9): Shift divisor 1 hop → 9. Shift dividend 1 hop → 189.
189 ÷ 9 = 21.
Quotient: 21
Targets 403 & 404 + Reasoning
Target 403 (5.75 ÷ 0.25): Shift 2 hops → 25 ) 575.
57 ÷ 25 = 2 (rem 7); 75 ÷ 25 = 3.
Quotient: 23
Target 404 (12 ÷ 0.5): Shift 1 hop. Divisor is 5. Dividend 12.0 becomes 120.
120 ÷ 5 = 24. Quotient: 24
Reasoning Check Answer: Dividing by 0.5 makes the quotient larger (doubles it) because you are finding how many halves (0.5) fit inside the number. E.g., there are two 50-cent pieces in every dollar!
Intervention Strategy: The "Money Model" for Decimal Division
When students struggle with why \( 12 \div 0.5 = 24 \) instead of \( 6 \), switch immediately to money: "If you have $12 in dollar bills, how many 50¢ candy bars can you buy?" Students will instantly say "24 candy bars!" Connect this intuition back to the algorithm: dividing by a number less than 1 always produces a quotient larger than the dividend.
Classified Teacher Key • Intervention Protocol
FOR INSTRUCTOR EYES ONLY
Summative Phase Focus: STAAR item analysis, distractor rationale, and diagnostic error analysis keys.
WEEKS 5 & 6 PROTOCOLS
W5 Mission Echo: STAAR Boss Infiltration Solutions Answer Key
STAAR Sim 1 (15.6 ÷ 1.2): Correct: B (13 pieces)
Calculation: Shift 1 decimal place outside and inside: \( 12 \overline{) 156 } = 13 \).
Distractor Trap: Option A (12) is chosen by students who guess from 1.2. Option D (18) is an addition error.
STAAR Sim 2 Griddable (5/8 as decimal): Correct: 0.625
Top dog 5 goes in the house: \( 8 \overline{) 5.000 } = 0.625 \).
Griddable Guidance: Emphasize bubbling the decimal point in the decimal column! Students must NOT bubble 625 without the point or 0.58.
STAAR Sim 3 ($54.80 ÷ 4): Correct: A ($13.70)
5 ÷ 4 = 1 (rem 1); 14 ÷ 4 = 3 (rem 2); 28 ÷ 4 = 7; 0 ÷ 4 = 0. Total: $13.70.
W6 Mission Foxtrot: Math Medic Solutions Answer Key
Crime Scene 1 (624 ÷ 6)
Diagnosis: The rogue agent forgot to put a 0 in the tens place! When 2 is brought down, 6 goes into 2 zero times.
Correct Quotient: 104.
Crime Scene 2 (2/5)
Diagnosis: The rogue agent reversed the numbers! \(\frac{2}{5}\) is less than 1 whole, so 2.5 is impossible. The top dog 2 must go INSIDE.
Correct Setup & Value: \( 5 \overline{) 2.0 } = \mathbf{0.4} \).
Agent Division Readiness Checklist (STAAR 6th Grade)
Knows when to drop vs round up remainder
Aligns multi-digit long division digits
Inserts 0 into quotient when needed
Puts numerator inside division house
Shifts decimal points before dividing
Successfully bubbles griddable items
Classified Teacher Key • Skill Drills
DRILLS ALPHA – DELTA
Skill Drills Diagnostic: Use for targeted reteaching based on student error patterns.
ALL 4 DIVISION TYPES
Drill Alpha: Long Division Type 1
101 (756 ÷ 18): 42
102 (924 ÷ 22): 42
103 (618 ÷ 6): 103 (Trap: 13)
104 (1,472 ÷ 32): 46
Logistics App: 1,050 ÷ 25 = 42 containers.
Drill Bravo: Fractions to Decimals Type 2
201 (1/8): 0.125
202 (3/5): 0.6
203 (7/8): 0.875
204 (1/3): 0.3̅
205 (9/4): 2.25
206 (11/20): 0.55
Match: 1/2=0.5; 1/4=0.25; 3/4=0.75; 2/5=0.4.
Drill Charlie: Decimal Division Type 3
301 (52.8 ÷ 4): 13.2 (Raise to roof)
302 (3.45 ÷ 0.5): 6.9 (Rewrite 5)34.5)
303 (14.76 ÷ 1.2): 12.3 (Rewrite 12)147.6)
304 (15 ÷ 0.25): 60 (Rewrite 25)1500)
Radar Check: Move 2 places (becomes 640).
Drill Delta: STAAR Scenarios Type 4
Scenario 1 ($18.48 ÷ 6):
Correct: A ($3.08)
Distractor B ($3.80) missed zero in quotient.
Scenario 2 (3/16 griddable):
\( 16 \overline{) 3.0000 } = \mathbf{0.1875} \)
Check bubble grid: point in 2nd column!
Scenario 3 (210 ÷ 16 transport):
210 ÷ 16 = 13 R2. Correct: B (14 jets).
Targeted Teacher Remediation Matrix
Missed Long Division: Use graph paper to force vertical alignment of one digit per box.
Flipped Fractions: Have student draw an actual dog house: "Top dog sleeps inside!"
Decimal Shifts: Physically draw curved swoop arrows underneath divisor and dividend.
Setup: 20 ) 11.00
Decimal:
Agent Rapid Match: Draw Lines to Connect Equivalents
1/2 ➔ 0.5
1/4 ➔ 0.25
3/4 ➔ 0.75
2/5 ➔ 0.4
Verification: If fraction numerator < denominator, the decimal MUST start with 0. !
Classified Practice Drills • Type 3
Agent Name: ___________________
Date: _______
Drill Charlie • Decimal Operators
TEKS 6.3E Focus
Move Outside, Move Inside!
DECIMAL SHIFT RULE: Never divide by a decimal! Move the divisor decimal to make a whole number. Move the inside decimal the exact same number of places!
DRILL 301: 52.8 ÷ 4 Raise to Roof
Divisor is whole! Float decimal straight up.
4 ) 5 2 . 8
Quotient:
DRILL 302: 3.45 ÷ 0.5 Hop 1 Place
Rewrite as: 5 ) 34.5
5 ) 3 4 . 5
Quotient:
DRILL 303: 14.76 ÷ 1.2 Hop 1 Place
Rewrite as: 12 ) 147.6
12 ) 1 4 7 . 6
Quotient:
DRILL 304: 15 ÷ 0.25 Annex 2 Zeros!
Rewrite as: 25 ) 1500
25 ) 1 5 0 0
Quotient:
Decimal Radar Check
When rewriting \( 0.08 \overline{) 6.4 } \), how many places must the decimal move inside?
1 place (64) 2 places (640) 3 places (6400)
Warning: Never leave a decimal outside the division house! Always slide first.
Classified Practice Drills • Type 4
Agent Name: ___________________
Date: _______
Drill Delta • STAAR Scenarios
TEKS 6.3E & 6.4G
STAAR Test Prep Mastery
Scenario 1 • Unit Rate TEKS 6.3E
Agent Sofia paid $18.48 for 6 titanium gear clips. What was the unit price per gear clip?
6 ) 18.48
A. $3.08
B. $3.80
C. $3.18
D. $4.08
Scenario 2 • Griddable Fraction TEKS 6.4G
A surveillance camera drone battery has \(\frac{3}{16}\) of its charge remaining. What decimal represents the fraction of battery charge remaining?
16 ) 3.0000
Grid Response
.
Place decimal accurately!
Scenario 3 • Logistics Remainder TEKS 6.3E
A flight squadron transports 210 trainees. Each transport jet can safely carry 16 trainees. How many transport jets must be scheduled so that all trainees are transported?
A. 13 jets
B. 14 jets
C. 15 jets
D. 12 jets
Test Tactic: Always reread the question sentence before selecting your final answer!
