https://file.aiquickdraw.com/mathbot/file/17307662478304j6yo1oq.jpg

To help with this worksheet, let's break down each question and work through it step-by-step.

### Task Analysis

The worksheet is about identifying patterns in multiplication, particularly in the context of understanding the distributive property and recognizing repeated patterns in multiplication tables.

### Solving Each Question

#### 1. **Find the column which has products that are the sum of the shaded numbers in each row. Shade this column.**
   - Looking at the multiplication table on the right, we want to identify a column where each product matches the sum of shaded numbers in each row.
   - For instance, if we find that the sum of products in rows 1, 2, 3, etc., matches any single column's products, we should shade that column.
   
#### 2. **Show 3 examples of the pattern that relates the shaded columns.**
   - After shading a column, observe the multiples within it.
   - If, for example, we shaded the column for 6, we could show patterns like:
      - \( 6 = 1 \times 6 \)
      - \( 12 = 2 \times 6 \)
      - \( 18 = 3 \times 6 \)
   - These examples will help demonstrate the consistency in the multiples.

#### 3. **Explain why this pattern is true.**
   - The pattern is true because multiplication is consistent with addition across repeated groups (distributive property).
   - For instance, multiples of 6 appear consistently in one column because each product results from adding 6 repeatedly.

#### 4. **Find a similar pattern using different products. Shade the columns on the multiplication table.**
   - Choose another number, such as 3 or 4, and repeat the process by finding the column with products that align with the multiples of the chosen number.

#### 5. **Explain how you choose which columns to shade.**
   - We chose columns to shade by finding patterns in products that consistently increase by the same value in each row.
   - For example, the column of 6 was chosen because each entry in the column is a multiple of 6.

Would you like additional help with any specific question or a more detailed explanation of any of the steps? 

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### Additional Practice Questions

1. What is the distributive property, and how does it help with multiplication?
2. How can patterns in a multiplication table help in understanding factors?
3. What other number patterns can you find in the multiplication table?
4. Can you identify columns for any other number (like 7 or 8) and explain the pattern?
5. How might recognizing patterns in multiplication be useful in solving larger math problems?

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### Tip
When looking for patterns in a multiplication table, focus on the multiples of each number to quickly identify patterns within columns and rows.

Identify patterns in multiplication and explain the distributive property using a multiplication table. Shade specific columns based on patterns found.

Learn how to identify multiplication patterns in a table and explain the distributive property. This worksheet helps students in Grades 3-4 understand the concept of repeated addition and recognize patterns in products.

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