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Area Models for Multiplication

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Area Models for Multiplication

Area Models for Multiplication

Grid showing area model multiplication

📐 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. For the multiplication 45 × 3, what are the partial products?

First, partition 45: _______ + _______

Then multiply each part by 3:

_______ × 3 = _______

_______ × 3 = _______

Finally, add the partial products: _______ + _______ = _______

📊 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 36 × 2 on the grid below:

🧮 Part 4: Solving with Area Models

9. Use an area model to solve 42 × 5. Show all your working:

Step 1: Partition 42 = _______ + _______

Step 2: Calculate partial products:

_______ × 5 = _______

_______ × 5 = _______

Step 3: Add partial products: _______ + _______ = _______

10. Choose a multiplication problem and solve it using an area model:

27 × 3

35 × 4

48 × 2

My chosen problem: _____________

🎯 Part 5: Reflection and Vocabulary

11. Match the mathematical terms with their meanings:
1. Partition
2. Partial products
3. Area model
4. Place value
A. The value of a digit based on its position
B. Split a number into smaller parts
C. Results from multiplying each part separately
D. Visual rectangle method for multiplication
12. Explain in your own words why area models help us understand multiplication better:
13. What is one question you still have about area models?

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