Regrouping Rescue Teacher Guide Teacher Resource
Regrouping Rescue
Structured Rotations & Targeted Small Group Intervention
Focus Area
3-Digit Regrouping
Group A: Teacher Table
Block Builders
Targeted intervention focusing on concrete place value drawings for students struggling to regroup.
Level: Scaffolding Needed
Group B: Card Game
Regrouping Matchup
Collaborative, self-correcting matching game. Students pair standard problems with concrete representations.
Level: Developing
Group C: Independent
Regrouping Detectives
Self-directed error analysis worksheets. Students find mathematical mistakes and solve advanced problems.
Level: Proficient
Targeted Intervention Script: Place Value Block Drawings
1
Concrete Modeling: Set the Problem
Say: "Today, we are going to draw hundreds, tens, and ones to build numbers. Let's model \( 146 + 275 \). To build \( 146 \), draw 1 flat square for hundreds, 4 tall rods for tens, and 6 tiny dots for ones. Do the same for \( 275 \) right beneath it."
Tip: Have students draw dots in 5-frames (columns of 5) to instantly see ten-frames without counting manually.
2
Regrouping Ones (The "Trade Up")
Say: "Let's look at our ones dots. We have \( 6 + 5 = 11 \) dots. Can we make a group of 10? Yes! Circle 10 ones. Let's trade them. Cross out that circle and draw 1 new tens rod in the tens column. How many ones are left? Yes, just \( 1 \)."
3
Regrouping Tens
Say: "Let's count our tens. We have the 4 rods from \( 146 \), the 7 rods from \( 275 \), plus the 1 new rod we traded. That's 12 tens rods! Can we group 10 tens rods? Yes! Circle 10 tens rods. Let's trade them. Cross out the circle and draw 1 new hundreds flat in the hundreds column. How many tens rods are left outside the circle? Correct, \( 2 \)."
4
Final Count
Say: "Finally, let's count our hundreds. We have the 1 flat from \( 146 \), 2 flats from \( 275 \), plus the 1 new hundreds flat. That's 4 hundreds flats. So, our final total is 4 hundreds, 2 tens, and 1 one. What is our number? Yes, \( 421 \)!"
Recommended Rotation Pacing: 15-20 minutes per group
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Targeted Small Group Assessment
Use during small-group intervention rotations to track mastery.
Subtraction Regrouping (Concrete Modeling Guide)
For Subtraction, model only the starting number (minuend). Cross out blocks to subtract.
Need more Ones? (Regrouping 1 Ten):
Cross out 1 tens rod. Draw an arrow pointing to the ones column and draw 10 ones dots. Now subtract ones!
Need more Tens? (Regrouping 1 Hundred):
Cross out 1 hundreds flat. Draw an arrow pointing to the tens column and draw 10 tens rods. Now subtract tens!
Student Observation Tracker Date: ________________________
Student Name Addition Regrouping Subtraction Regrouping Observations & Next Steps 1. __________________ Concrete Rep Abs
|
Concrete Rep Abs
| e.g., struggles with placing the traded 10 to standard algorithm |
| 2. __________________ |
Concrete Rep Abs
|
Concrete Rep Abs
| |
| 3. __________________ |
Concrete Rep Abs
|
Concrete Rep Abs
| |
| 4. __________________ |
Concrete Rep Abs
|
Concrete Rep Abs
| |
| 5. __________________ |
Concrete Rep Abs
|
Concrete Rep Abs
| |
Common Misconceptions to Monitor
Misconception: Forgetting to subtract from regrouped place values (e.g., subtracting from 4 hundreds after trading 1 to the tens place).Misconception: Creating extra rods/dots without crossing out the traded ones.Intervention Probe: "If you break apart one of your hundreds, how many tens are inside it? Where should those tens go?"
Assessment Key: Concrete (Blocks), Rep (Representative Drawing), Abs (Abstract Algorithm)
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Block Builders Task Cards Block Builders
Center 1: Task Cards • 3-Digit Regrouping with Drawings
Level 1: Concrete
Directions for Students: Draw hundreds (), tens (), and ones (•) in the charts to solve. Regroup by circling ten smaller blocks and trading them for one larger block!
Card 01 Addition Ones
\( 138 + 145 = \)
H
T
O
Draw both numbers, circle 10 ones, trade for 1 ten.
Card 02 Addition Tens
\( 263 + 172 = \)
H
T
O
Draw both numbers, circle 10 tens, trade for 1 hundred.
Card 03 Double Regroup
\( 185 + 246 = \)
H
T
O
You will need to regroup both ones and tens!
Card 04 Subtract Ones
\( 342 - 126 = \)
H
T
O
Draw only 342. Break 1 ten into 10 ones, then subtract.
Print, laminate, and cut along dotted borders for student whiteboard workspace.
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Block Builders
Center 1: Task Cards • 3-Digit Regrouping with Drawings
Level 1: Concrete
Directions for Students: Draw hundreds (), tens (), and ones (•) in the charts to solve. Regroup by circling ten smaller blocks and trading them for one larger block!
Card 05 Subtract Tens
\( 416 - 253 = \)
H
T
O
Draw only 416. Break 1 hundred into 10 tens, then subtract.
Card 06 Double Regroup
\( 532 - 168 = \)
H
T
O
Trade both a hundred for tens, and a ten for ones!
Card 07 Word Problem
A construction team has 286 bricks. They buy 145 more. How many bricks do they have now?
H
T
O
Write your equation: ___________________________
Card 08 Word Problem
The workers had 435 nails. They used 162 nails to build a wooden fence. How many nails are left?
H
T
O
Write your equation: ___________________________
Print, laminate, and cut along dotted borders for student whiteboard workspace.
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Regrouping Matchup Game Robot Regrouping Matchup
Center 2: Collaborative Card Game • Reprogram the Systems
Level 2: Developing
How to Play: Work in pairs or small groups. Mix up the cards. Your mission is to reprogram the robots by matching all 4 cards in each robot's system: [1] Standard Problem , [2] Expanded/Regrouped Form , [3] Base-Ten Breakdown , and [4] Final Code/Answer .
Robot Alpha Card 1A
Standard Equation 275 + 158
SYSTEM CORES
Robot Alpha Card 1B
Expanded Assembly (200 + 70 + 5)
WIRING DIAGRAM
Robot Alpha Card 1C
Base-Ten Blocks 3 H + 12 T + 13 O
4 H + 3 T + 3 O
REGROUP COUNTER
Robot Alpha Card 1D
Final System Code 433
SYSTEM SOLVED
Robot Beta Card 2A
Standard Equation 386 + 249
SYSTEM CORES
Robot Beta Card 2B
Expanded Assembly (300 + 80 + 6)
WIRING DIAGRAM
Robot Beta Card 2C
Base-Ten Blocks 5 H + 12 T + 15 O
6 H + 3 T + 5 O
REGROUP COUNTER
Robot Beta Card 2D
Final System Code 635
SYSTEM SOLVED
Robot Gamma Card 3A
Standard Equation 423 - 156
SYSTEM CORES
Robot Gamma Card 3B
Regrouped Assembly (300 + 110 + 13)
WIRING DIAGRAM
Robot Gamma Card 3C
Base-Ten Trade 4 H + 2 T + 3 O
Subtract 1 H, 5 T, 6 O
REGROUP COUNTER
Robot Gamma Card 3D
Final System Code 267
SYSTEM SOLVED
Print on cardstock, cut along dotted lines, and store in separate systems or mix them up!
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Robot Regrouping Matchup
Center 2: Collaborative Card Game • Reprogram the Systems
Level 2: Developing
How to Play: Work in pairs or small groups. Mix up the cards. Your mission is to reprogram the robots by matching all 4 cards in each robot's system: [1] Standard Problem , [2] Expanded/Regrouped Form , [3] Base-Ten Breakdown , and [4] Final Code/Answer .
Robot Delta Card 4A
Standard Equation 564 + 189
Regrouping Detectives Worksheet CLASSIFIED: CENTER 3
REGROUPING INVESTIGATION
Regrouping Detectives
Case File # 1000-A
Detective Name: _________________________________
Date of Inquiry: _________________
Case Briefing: Inspect the suspects' math files!
Someone has solved these equations but made critical errors in their base-ten drawings or regrouping steps. Find the mathematical crime, explain it, and solve the equation correctly!
Suspect File 01: Addition Slip-Up Proposed Work: \( 248 + 175 = 313 \)
What Suspect Drew:
The suspect drew \( 248 \) and \( 175 \). They circled 10 ones and crossed them out to make 1 new ten. Then, they wrote down their answer as:3 Hundreds, 1 Ten, 3 Ones.
Explain the Mistake:
Correct the Drawing & Solve:
H
T
O
Correct Answer: ________
Suspect File 02: Subtraction Theft Proposed Work: \( 425 - 163 = 362 \)
What Suspect Drew:
The suspect drew \( 425 \). Since they couldn't subtract 6 tens from 2 tens, they drew 10 extra tens. However, they kept all 4 hundreds on their paper!
Explain the Mistake:
Correct the Drawing & Solve:
H
T
O
Correct Answer: ________
Regrouping Detectives Center Worksheet
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CLASSIFIED: CENTER 3
REGROUPING INVESTIGATION
Regrouping Detectives
Case File # 1000-B
Detective Name: _________________________________
Date of Inquiry: _________________
Inquiry 03: Field Word Problems
Problem A: A secret agency has 452 coded files. On Monday, agents cracked 165 of them. On Tuesday, they received 238 brand new coded files. How many uncoded files does the agency have now?
Show your work:
Final Equation:
Uncoded files left: _________
Problem B: The evidence vault has 815 total items. There are 348 fingerprints and 267 photos. The rest of the items are written letters. How many written letters are in the vault?
Show your work:
Final Equation:
Written letters: _________
Case 04: Crack the Vault's Cipher!
Solve the four equations below. Match your solutions to the code key to crack the detective's secret message!
Equation R 456 + 189
R = ______
Equation U 621 - 384
