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Arrays and Area Models

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Arrays and Area Models worksheet preview
Arrays and Area Models

Arrays and Area Models

Array and area model illustration

🔢 Part 1: Understanding Arrays

1. Look at this array: 3 rows with 4 dots in each row. How many dots are there altogether?

Total dots: _______

2. Circle the correct repeated addition for 2 rows of 5:

2 + 5 = 7

5 + 5 = 10

2 + 2 + 2 + 2 + 2 = 10

3. Draw an array to show 4 groups of 3. Use dots or circles.

Repeated addition: _____ + _____ + _____ + _____ = _____

📐 Part 2: Area Models

4. If a rectangle is 5 units long and 3 units wide, how many small squares fit inside?

Answer: _______ small squares

5. Which area model shows 2 × 6? Circle the correct answer:

A rectangle 2 units wide and 6 units long

A rectangle 2 units wide and 2 units long

A rectangle 6 units wide and 6 units long

6. Draw an area model for 3 × 4. Shade in all the squares.

🎨 Part 3: Patterns and Arrays

7. Aboriginal dot paintings often use patterns in rows and columns. If an artist makes a pattern with 6 rows of 2 dots each, how many dots are used?
8. Check all the ways you can arrange 12 counters in equal rows:

3 rows of 4

2 rows of 6

4 rows of 3

5 rows of 2

1 row of 12

9. Create your own array pattern using 15 objects. Draw it below and write the multiplication sentence.

My array shows: _____ rows of _____ = _____

🧮 Part 4: Connecting Arrays to Multiplication

10. Match each array description to its multiplication sentence:
1. 4 rows of 5 objects
2. 3 rows of 7 objects
3. 2 rows of 8 objects
4. 5 rows of 3 objects
A. 2 × 8 = 16
B. 5 × 3 = 15
C. 4 × 5 = 20
D. 3 × 7 = 21
11. Fill in the blanks:

An array with _____ rows and _____ columns has _____ objects altogether.

Multiplication is a quick way to add the _________ number many times.

In the multiplication sentence 4 × 6 = 24, the number _____ tells us how many groups we have.

12. Explain how arrays help you understand multiplication:

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