Math worksheet for children to practice creating and identifying repeating patterns using various shapes.

Problem Analysis and Solution

The worksheet is divided into two main sections: Section A focuses on completing repeating patterns using given shapes, while Section B involves identifying the next shape in a repeating pattern. Let's solve each section step by step.

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Section A: Use these shapes to finish the repeating patterns

#### Given Shapes:
- Yellow Circle (🟡)
- Green Triangle (△)
- Red Square (🔴)

#### Patterns to Complete:

1. Pattern 1:
- Sequence: 🟡🟡🔴🟡🔴🟡🟡🔴
- Observations: The pattern repeats every three shapes: 🟡🟡🔴.
- Missing shapes: The next three shapes should be 🟡🟡🔴.
- Completed Pattern: 🟡🟡🔴🟡🔴🟡🟡🔴🟡🟡🔴

2. Pattern 2:
- Sequence: △🟡🔴△🔴🟡🔴
- Observations: The pattern alternates between △ and a pair of shapes (🟡🔴).
- Missing shapes: The next three shapes should be △🟡🔴.
- Completed Pattern: △🟡🔴△🔴🟡🔴△🟡🔴

3. Pattern 3:
- Sequence: △△🔴△🔴△△
- Observations: The pattern alternates between pairs of △ and a single 🔴.
- Missing shapes: The next three shapes should be △△🔴.
- Completed Pattern: △△🔴△🔴△△△△🔴

#### Create Your Own Repeating Pattern:
- Using the same shapes (🟡, △, 🔴), create a new pattern.
- Example: 🟡△🔴🟡△🔴🟡△🔴

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Section B: Look at the following repeating patterns and choose what comes next

#### Pattern 1:
- Sequence: ❤️😊❤️😊❤️
- Observations: The pattern alternates between ❤️ and 😊.
- Next shape: ❤️
- Correct Answer: c) 😊❤️❤️

#### Pattern 2:
- Sequence: 🟠🔺🟠🔺🟠
- Observations: The pattern alternates between 🟠 and 🔺.
- Next shape: 🔺
- Correct Answer: b) 🔺🟠🔺

#### Pattern 3:
- Sequence: 💙💙🟦💙💙🟦💙💙
- Observations: The pattern alternates between pairs of 💙 and a single 🟦.
- Next shape: 🟦
- Correct Answer: c) 💙💙🟦

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Final Answers:

#### Section A:
1. 🟡🟡🔴🟡🔴🟡🟡🔴🟡🟡🔴
2. △🟡🔴△🔴🟡🔴△🟡🔴
3. △△🔴△🔴△△△△🔴

#### Section B:
1. c) 😊❤️❤️
2. b) 🔺🟠🔺
3. c) 💙💙🟦

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Explanation:

- Section A requires identifying the repeating sequence and extending it logically.
- Section B involves recognizing the repeating pattern and predicting the next shape based on the observed sequence.

This approach ensures clarity and accuracy in solving both sections of the worksheet.

Final Answer:
\boxed{
\text{Section A: 1. } \text{🟡🟡🔴🟡🔴🟡🟡🔴🟡🟡🔴, 2. } \text{△🟡🔴△🔴🟡🔴△🟡🔴, 3. } \text{△△🔴△🔴△△△△🔴}
\text{Section B: 1. c, 2. b, 3. c}
}