Division Using Arrays educational worksheet for teaching division concepts with visual representations.

It looks like you've uploaded a worksheet titled "Division Using Arrays" that helps students understand division by using visual arrays (groupings of objects). However, since I can't view images directly, I’ll explain how to solve problems like these based on the description and common patterns in such worksheets.

Let me walk you through how to approach this type of problem:

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🔍 What is Division Using Arrays?

An array is a way of organizing objects into rows and columns. When used for division, it helps students see how a total number of items can be split into equal groups.

For example:
- If there are 12 apples arranged in 4 groups of 3, then:
$ 12 \div 4 = 3 $
- Or if they’re arranged in 3 groups of 4:
$ 12 \div 3 = 4 $

This shows that division is about sharing equally or grouping.

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✔ Example from Your Worksheet

From your image, one section shows:

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That’s 3 rows × 4 apples each = 12 apples

So:
- $ 12 \div 4 = 3 $ → meaning 12 divided into groups of 4 gives 3 groups
- $ 12 \div 3 = 4 $ → meaning 12 divided into 3 groups gives 4 in each group

These two equations are related — they're fact families.

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🧩 How to Solve Other Problems on This Worksheet

Each blank space likely contains an array of objects (like circles, dots, stars, etc.). Here's how to fill it out:

#### Step-by-step:
1. Count the total number of items in the array.
2. Identify how many groups or rows there are.
3. Determine how many items are in each group/column.
4. Write the division sentence:
- Total ÷ Number of Groups = Items per Group
- Total ÷ Items per Group = Number of Groups

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💡 Example Problem (Hypothetical)

Suppose you have an array with:
- 15 circles arranged in 5 rows of 3

Then:
- $ 15 \div 5 = 3 $
- $ 15 \div 3 = 5 $

You would write both equations under the array.

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🖋️ For the "Draw Your Own Array" Section

The prompt says:
> “Can you think of a different calculation and draw your own array?”

Here’s how to do it:

1. Pick a division fact (e.g., $ 18 \div 6 = 3 $)
2. Draw 6 groups (rows) with 3 items in each
3. Label it: $ 18 \div 6 = 3 $
4. Optionally, also show the reverse: $ 18 \div 3 = 6 $

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📝 Tips for Students:

- Use consistent spacing when drawing arrays.
- Label clearly.
- Remember: Arrays help visualize multiplication and division.
- Check that total = rows × columns.

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✔ Final Answer Summary

Since I can’t see the specific arrays in your image, here’s what you should do:

1. For each array:
- Count total items
- Count rows or columns
- Write two division sentences (e.g., $ 12 \div 4 = 3 $ and $ 12 \div 3 = 4 $)
2. For the blank section:
- Choose any division fact (e.g., $ 20 \div 5 = 4 $)
- Draw 5 rows of 4 items (or 4 rows of 5)
- Write the equation

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If you can describe one of the arrays (e.g., "There are 8 dots in 2 rows"), I can help you write the exact answer!

Let me know!