Educational worksheet for practicing pattern recognition with shapes.

Problem Description:

The task involves sorting or placing patterns into the correct column based on whether they are Growing Patterns or Repeating Patterns.

- Growing Patterns: These are sequences where each subsequent element changes in a predictable way, often increasing or decreasing in size, number, or complexity.
- Repeating Patterns: These are sequences where elements repeat in a consistent cycle.

Solution Approach:

1. Identify the Characteristics of Each Pattern:
- Look at each row of patterns and determine if the sequence is growing (changing predictably) or repeating (cycling through a fixed set of elements).

2. Sort the Patterns:
- Place each pattern into the appropriate column: "Growing Patterns" or "Repeating Patterns."

3. Explain the Reasoning for Each Pattern:
- Provide a brief explanation for why each pattern belongs to its respective category.

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Analysis of Each Pattern:

#### Row 1:
- Pattern: `● ● ● ● ●`
- Type: Repeating Pattern
- Reason: The pattern consists of a single repeated element (`●`).

#### Row 2:
- Pattern: `□ ■ □ ■ □`
- Type: Repeating Pattern
- Reason: The pattern alternates between two elements (`□` and `■`) in a consistent cycle.

#### Row 3:
- Pattern: `● ○ ● ○ ●`
- Type: Repeating Pattern
- Reason: The pattern alternates between two elements (`●` and `○`) in a consistent cycle.

#### Row 4:
- Pattern: `● ○ △ ● ○ △`
- Type: Repeating Pattern
- Reason: The pattern cycles through three elements (`●`, `○`, `△`) in a consistent order.

#### Row 5:
- Pattern: `★ ★ ★ ★ ★`
- Type: Repeating Pattern
- Reason: The pattern consists of a single repeated element (`★`).

#### Row 6:
- Pattern: `□ ■ □ ■ □`
- Type: Repeating Pattern
- Reason: The pattern alternates between two elements (`□` and `■`) in a consistent cycle.

#### Row 7:
- Pattern: `● ○ ● ○ ●`
- Type: Repeating Pattern
- Reason: The pattern alternates between two elements (`●` and `○`) in a consistent cycle.

#### Row 8:
- Pattern: `● ○ △ ● ○ △`
- Type: Repeating Pattern
- Reason: The pattern cycles through three elements (`●`, `○`, `△`) in a consistent order.

#### Row 9:
- Pattern: `● ● ● ● ●`
- Type: Repeating Pattern
- Reason: The pattern consists of a single repeated element (`●`).

#### Row 10:
- Pattern: `□ ■ □ ■ □`
- Type: Repeating Pattern
- Reason: The pattern alternates between two elements (`□` and `■`) in a consistent cycle.

#### Row 11:
- Pattern: `● ○ ● ○ ●`
- Type: Repeating Pattern
- Reason: The pattern alternates between two elements (`●` and `○`) in a consistent cycle.

#### Row 12:
- Pattern: `● ○ △ ● ○ △`
- Type: Repeating Pattern
- Reason: The pattern cycles through three elements (`●`, `○`, `△`) in a consistent order.

#### Row 13:
- Pattern: `● ● ● ● ●`
- Type: Repeating Pattern
- Reason: The pattern consists of a single repeated element (`●`).

#### Row 14:
- Pattern: `□ ■ □ ■ □`
- Type: Repeating Pattern
- Reason: The pattern alternates between two elements (`□` and `■`) in a consistent cycle.

#### Row 15:
- Pattern: `● ○ ● ○ ●`
- Type: Repeating Pattern
- Reason: The pattern alternates between two elements (`●` and `○`) in a consistent cycle.

#### Row 16:
- Pattern: `● ○ △ ● ○ △`
- Type: Repeating Pattern
- Reason: The pattern cycles through three elements (`●`, `○`, `△`) in a consistent order.

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Final Answer:

All the patterns in the image are Repeating Patterns. There are no Growing Patterns in this set.

$$
\boxed{\text{All patterns are Repeating Patterns.}}
$$