lattice multiplication anchor chart

Lattice Multiplication using your images as inspiration. This chart walks students through the process step by step and explains the why behind each part of the method.

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🧮 Lattice Multiplication Anchor Chart 🧮

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💡 What is Lattice Multiplication?

Lattice Multiplication is a method of multiplying multi-digit numbers using a grid (or lattice). Each square is divided diagonally, and products are placed within the boxes. It's a great strategy to help visualize place value and organize the steps of long multiplication!

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✅ Step-by-Step Instructions

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✍️ Step 1: Draw the Lattice Grid

• Create a box for each digit of the numbers being multiplied.

• Example: To multiply 342 × 57, draw a 3-column by 2-row grid (since 342 has 3 digits, and 57 has 2).

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🔢 Step 2: Label the Top and Right Side

• Write the digits of the first number (342) across the top: 3 4 2

• Write the digits of the second number (57) down the right side: 5 and 7

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🔻 Step 3: Draw Diagonals

• Split each box diagonally from top right to bottom left to create upper and lower triangles in each cell.

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✏️ Step 4: Multiply and Fill Each Cell

• Multiply the digit from the top with the digit from the side for each box.

• Write the tens digit in the top triangle and the ones digit in the bottom triangle.

  • If the product is a single digit (like 6), write 0 in the top triangle and 6 in the bottom.

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➕ Step 5: Add Along the Diagonals

• Add all the digits along the diagonals (starting from the bottom right).

• Carry over if needed, just like in regular addition.

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🟨 Step 6: Read Your Final Answer

• Read the final answer by collecting the sums from each diagonal, starting from the bottom right to the top left.

• Example from the chart: 342 × 57 = 19,494

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🧠 Why Use Lattice?

✅ Organizes complex multiplication
✅ Supports place value understanding
✅ Reduces errors
✅ Visual and engaging

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📌 Example:

Using your second image:
Multiply 342 × 57 using the lattice method:

• Grid: 3 columns × 2 rows

• Products filled:

  • 3×5=15 → write 1 in top, 5 in bottom

  • 4×5=20 → 2 and 0

  • 2×5=10 → 1 and 0

  • 3×7=21 → 2 and 1

  • 4×7=28 → 2 and 8

  • 2×7=14 → 1 and 4

Diagonal Sums:

• Rightmost diagonal = 4

• Next = 9

• Next = 4

• Next = 9

• Next = 1

Answer: 19,494

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Would you like me to create this as a printable PDF anchor chart with images and text?