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Box Method Multiplication

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Box Method Multiplication

Box Method Multiplication

Box method multiplication illustration

📦 Part 1: Understanding the Box Method

1. Complete this box method example for 23 × 15:

Step 1: Partition the numbers: 23 = 20 + 3, and 15 = 10 + 5

Step 2: Fill in the boxes:

10 5
20 ____ ____
3 ____ ____

Step 3: Add all the products: ____ + ____ + ____ + ____ = ____

2. Which property of mathematics does the box method demonstrate?

Commutative property

Distributive property

Associative property

Identity property

🔢 Part 2: Practice Problems

3. Use the box method to solve 34 × 26:

Partition: 34 = ____ + ____, and 26 = ____ + ____

____ ____
____ ____ ____
____ ____ ____

Final answer: ________________

4. Solve 42 × 18 using the box method:
5. Calculate 56 × 24:

📝 Part 3: Word Problems

6. A school has 28 rows of chairs with 35 chairs in each row. How many chairs are there in total?

Write the multiplication: ____ × ____

Show your box method working:

Answer: There are _______ chairs in total.

7. A bakery makes 47 pies each day. How many pies do they make in 16 days?

Answer: _________________________________

8. A rectangular garden is 39 metres long and 25 metres wide. What is the area of the garden?

Answer: The area is _______ square metres.

🎯 Part 4: Challenge and Reflection

9. Choose the correct steps for using the box method (check all that apply):

Partition each number into tens and ones

Multiply each part together

Add all the products

Subtract the smallest product

Draw a grid or box to organise your work

10. Challenge: Use the box method to solve 63 × 45:
11. Explain in your own words why the box method works for multiplication:
12. Which method do you prefer for two-digit multiplication and why?

Box method - it's easier to see each step

Traditional method - it's faster

Both methods are equally useful

Explain your choice: _________________________________

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