📐 Part 1: Understanding Area Models

1. What is an area model in multiplication?

A way to add numbers repeatedly

A visual way to show multiplication using rectangles

A method for dividing numbers

A way to subtract large numbers

2. When we partition the number 47, we split it into:

4 + 7

40 + 7

47 + 0

20 + 27

3. Which of these are parts of creating an area model? (Check all that apply)

Partition the two-digit number into tens and ones

Draw rectangles on a grid

Calculate partial products

Add the partial products together

Memorise multiplication tables

🔢 Part 2: Partitioning Numbers

4. Partition these two-digit numbers into tens and ones:

a) 34 = _______ + _______

b) 56 = _______ + _______

c) 23 = _______ + _______

d) 78 = _______ + _______

5. If we partition 45 into 40 + 5, and multiply each part by 3, what are the partial products?

40 × 3 = _______

5 × 3 = _______

Total: _______ + _______ = _______

📊 Part 3: Drawing Area Models

6. Draw an area model for 23 × 4 on the grid below. Show your partitioning and label each section.

7. Calculate the partial products for your area model above:

8. Draw an area model for 35 × 2 on the grid below:

🧮 Part 4: Solving with Area Models

9. Complete this area model calculation for 42 × 3:

Step 1: Partition 42 = _______ + _______

Step 2: Multiply each part by 3

_______ × 3 = _______

Step 3: Add the partial products

_______ + _______ = _______

10. Use an area model to solve 54 × 2. Show all your working:

11. Sarah says that 36 × 4 = 144. Use an area model to check if she is correct. Show your working:

💭 Part 5: Explaining Your Thinking

12. Explain in your own words why we partition numbers when using area models for multiplication:

13. Match the mathematical terms with their meanings:

1. Partition

2. Partial product

3. Area model

4. Place value

A. The value of a digit based on its position

B. Split a number into smaller parts

C. A rectangle showing multiplication visually

D. The result of multiplying one part

14. How do area models help you understand multiplication better than just memorising facts?

Area Models for Multiplication

Area Models for Multiplication

📐 Part 1: Understanding Area Models

🔢 Part 2: Partitioning Numbers

📊 Part 3: Drawing Area Models

🧮 Part 4: Solving with Area Models

💭 Part 5: Explaining Your Thinking

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