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Double Digit Area Models

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Double Digit Area Models worksheet preview

Double Digit Area Models

Area model multiplication illustration

📐 Part 1: Complete the Area Models

1. Complete the area model for 23 × 14:

Step 1: Break down: 23 = 20 + 3 and 14 = 10 + 4

Step 2: Fill in the missing products:

10 4
20 200 _____
3 _____ 12

Final Answer: 23 × 14 = _______

2. Create and solve the area model for 35 × 26:

Break down the numbers: 35 = _____ + _____ and 26 = _____ + _____

Draw your area model below and calculate each section:

Final Answer: 35 × 26 = _______

3. Which area model correctly represents 42 × 31?

Break down as (40 + 2) × (30 + 1)

Break down as (4 + 2) × (3 + 1)

Break down as (42) × (3 + 1)

Break down as (40 + 2) × (31)

🎯 Part 2: Problem Solving & Estimation

4. I can estimate before solving: Before calculating 48 × 37 using an area model, estimate the answer by rounding to the nearest 10.

Rounded numbers: _____ × _____ = _____

My estimate: _____________

5. A rectangular garden measures 28 metres by 34 metres. Use an area model to find the total area.

Set up: 28 = _____ + _____ and 34 = _____ + _____

The garden's area is: _______ square metres

6. Extension Challenge: Explain why area models work for multiplication. Use the example 25 × 13 in your explanation.

🌟 Part 3: Self-Assessment

7. Check all the "I can..." statements that you feel confident about:

I can break down two-digit numbers into tens and ones

I can create area models for double-digit multiplication

I can estimate products before calculating

I can explain why area models help with multiplication

I can solve real-world problems using area models

8. Reflection: What is one strategy that helps you remember how to set up area models?

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