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Montessori concrete materials (Stamp Game)
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Singapore Math (bar models, tape diagrams, and heuristics)
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Read-Build-Draw-Write methodology
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Concrete–Representational–Abstract (CRA) progression
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Multiple algorithms (Lattice, Area Model, Partial Products, Standard Algorithm)
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Self-correcting scaffolds for independent learning
🔶 COMPONENTS OVERVIEW
| Card Type | Purpose |
|---|---|
| Command Card | Provides the task, scenario, and step-by-step instruction |
| Task Card | Provides Read-Build-Draw-Write structure and open workspace |
| Control of Error Card | Provides the answer key, models, correct algorithms, and reflection |
| Mini Model Cards (optional) | Visuals of lattice, area model, etc., that can be clipped or matched |
✅ COMMAND CARD (Student Receives After Teacher Lesson)
Header:
📘 MONTESSORI COMMAND CARD – MULTIPLICATION (3-Digit × 2-Digit)
Task Prompt – Read
A toy company packs 342 action figures in one box. They ship 26 boxes to stores every week.
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How many action figures are shipped each week?
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If they also ship 124 dolls and 248 puzzles, how many items in total are shipped?
Build (Concrete)
🎲 Use the Montessori Stamp Game to model the problem.
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Use green, blue, and red stamps to represent units, tens, and hundreds.
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Lay out 342 six times, then build groups of 20 (for the tens place).
Draw (Pictorial)
📐 Choose one or more:
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Draw a bar model to show multiplication and addition parts.
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Draw a tape diagram that compares items.
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Sketch a lattice grid or area model of 342 × 26.
(Hint: Break 342 into 300 + 40 + 2)
Write (Abstract)
🧠 Solve the problem using FOUR methods:
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Standard algorithm
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Partial products
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Area model
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Lattice method
Then write:
✏️ “What multiplication strategy do I prefer and why?”
Heuristic Hint (Singapore Math)
💡 Use “Work Backwards” and “Draw a Diagram” to understand multi-step problems.
🧩 TASK CARD (For Students to Work On)
Front Layout – RBDW Template with Workspace
🔹 Read
What do you know?
➡️ ____________________________________________________________
What do you need to find out?
➡️ ____________________________________________________________
🔹 Build
Stamp Game Representation
Draw how you used the Stamp Game:
🟩 Hundreds: ______ 🟦 Tens: ______ 🟥 Ones: ______
🔹 Draw
Draw one or more models:
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Bar model
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Area model
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Lattice
(Space provided with grids and boxes)
🔹 Write
Show 4 multiplication strategies:
| Method | Work Space |
|---|---|
| 1. Standard Algorithm | __________ |
| 2. Partial Products | __________ |
| 3. Area Model | __________ |
| 4. Lattice Method | __________ |
✍️ Which method makes the most sense to you? Why?
🟩 CONTROL OF ERROR CARD (Self-Check)
FRONT
✅ ANSWER KEY
342 × 26 = 8,892
124 + 248 = 372
8,892 + 372 = 9,264 total items
Stamp Game Diagram (Image or Sketch)
🟩🟦🟥 layout showing multiplication
Draw Section (Model Answers)
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Correct bar model and tape diagram
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Gridded solution for lattice and area model
Abstract Section – Sample Correct Work for 4 Methods
| Method | Key Steps |
|---|---|
| Standard | 342 × 26 = step-by-step layout |
| Partial Products | (300×20)+(40×20)+(2×20) + (300×6)+(40×6)+(2×6) |
| Area Model | Boxes with labels: 300×20, 40×6, etc. |
| Lattice | Correct lattice filled with diagonals and additions |
Reflection Sample
🧠 “I prefer the partial products method because I can see how each part contributes to the total.”
Back of the Card: Mini Guide to Heuristics
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Heuristic Focus:
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"Work Backwards" — Think about the total, then subtract what you know.
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"Draw a Diagram" — Visualizing helps break problems into smaller steps.
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🧰 BONUS: MINI MODEL CARDS (Optional)
Students can choose one to clip on or match to their task:
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🧮 Lattice Card
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📦 Area Model Card
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💬 Standard Method
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➕ Partial Products
Each includes a clear visual and a one-sentence "When to Use This" tip.
Would you like me to create printable or digital templates for these cards in PDF format?
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