Math worksheet for recognizing and continuing visual patterns.

Problem Description:

The task is to recognize patterns in a series of shapes and determine which shape comes next in each sequence. The worksheet consists of multiple rows, each containing a repeating pattern of shapes. The goal is to identify the next shape in the sequence for each row.

Solution Approach:

1. Identify the Pattern: For each row, observe the sequence of shapes and determine the repeating pattern.
2. Determine the Next Shape: Based on the identified pattern, predict the next shape in the sequence.
3. Circle the Correct Shape: Circle the shape that matches the predicted next shape from the options provided.

Step-by-Step Analysis:

#### Row 1:
- Sequence: □ △ ◇ □ △ ◇
- Pattern: The sequence repeats every three shapes: □ △ ◇.
- Next Shape: After △ ◇, the next shape should be □.
- Answer: Circle □.

#### Row 2:
- Sequence: ■ ◇ □ ■ ◇ □
- Pattern: The sequence repeats every three shapes: ■ ◇ □.
- Next Shape: After □, the next shape should be ■.
- Answer: Circle ■.

#### Row 3:
- Sequence: ○ ● ○ ● ○ ●
- Pattern: The sequence alternates between ○ and ●.
- Next Shape: After ●, the next shape should be ○.
- Answer: Circle ○.

#### Row 4:
- Sequence: ▲ ◆ ▲ ◆ ▲ ◆
- Pattern: The sequence alternates between ▲ and ◆.
- Next Shape: After ◆, the next shape should be ▲.
- Answer: Circle ▲.

#### Row 5:
- Sequence: ★ ☆ ★ ☆ ★ ☆
- Pattern: The sequence alternates between ★ and ☆.
- Next Shape: After ☆, the next shape should be ★.
- Answer: Circle ★.

#### Row 6:
- Sequence: □ ■ □ ■ □ ■
- Pattern: The sequence alternates between □ and ■.
- Next Shape: After ■, the next shape should be □.
- Answer: Circle □.

#### Row 7:
- Sequence: ○ ● ○ ● ○ ●
- Pattern: The sequence alternates between ○ and ●.
- Next Shape: After ●, the next shape should be ○.
- Answer: Circle ○.

#### Row 8:
- Sequence: ▲ ◆ ▲ ◆ ▲ ◆
- Pattern: The sequence alternates between ▲ and ◆.
- Next Shape: After ◆, the next shape should be ▲.
- Answer: Circle ▲.

#### Row 9:
- Sequence: ★ ☆ ★ ☆ ★ ☆
- Pattern: The sequence alternates between ★ and ☆.
- Next Shape: After ☆, the next shape should be ★.
- Answer: Circle ★.

#### Row 10:
- Sequence: □ ■ □ ■ □ ■
- Pattern: The sequence alternates between □ and ■.
- Next Shape: After ■, the next shape should be □.
- Answer: Circle □.

#### Row 11:
- Sequence: ○ ● ○ ● ○ ●
- Pattern: The sequence alternates between ○ and ●.
- Next Shape: After ●, the next shape should be ○.
- Answer: Circle ○.

#### Row 12:
- Sequence: ▲ ◆ ▲ ◆ ▲ ◆
- Pattern: The sequence alternates between ▲ and ◆.
- Next Shape: After ◆, the next shape should be ▲.
- Answer: Circle ▲.

#### Row 13:
- Sequence: ★ ☆ ★ ☆ ★ ☆
- Pattern: The sequence alternates between ★ and ☆.
- Next Shape: After ☆, the next shape should be ★.
- Answer: Circle ★.

#### Row 14:
- Sequence: □ ■ □ ■ □ ■
- Pattern: The sequence alternates between □ and ■.
- Next Shape: After ■, the next shape should be □.
- Answer: Circle □.

#### Row 15:
- Sequence: ○ ● ○ ● ○ ●
- Pattern: The sequence alternates between ○ and ●.
- Next Shape: After ●, the next shape should be ○.
- Answer: Circle ○.

#### Row 16:
- Sequence: ▲ ◆ ▲ ◆ ▲ ◆
- Pattern: The sequence alternates between ▲ and ◆.
- Next Shape: After ◆, the next shape should be ▲.
- Answer: Circle ▲.

#### Row 17:
- Sequence: ★ ☆ ★ ☆ ★ ☆
- Pattern: The sequence alternates between ★ and ☆.
- Next Shape: After ☆, the next shape should be ★.
- Answer: Circle ★.

#### Row 18:
- Sequence: □ ■ □ ■ □ ■
- Pattern: The sequence alternates between □ and ■.
- Next Shape: After ■, the next shape should be □.
- Answer: Circle □.

#### Row 19:
- Sequence: ○ ● ○ ● ○ ●
- Pattern: The sequence alternates between ○ and ●.
- Next Shape: After ●, the next shape should be ○.
- Answer: Circle ○.

#### Row 20:
- Sequence: ▲ ◆ ▲ ◆ ▲ ◆
- Pattern: The sequence alternates between ▲ and ◆.
- Next Shape: After ◆, the next shape should be ▲.
- Answer: Circle ▲.

Final Answer:

For each row, circle the shape that comes next based on the identified pattern. The specific shapes to circle are as follows (in order of rows):

1. □
2. ■
3. ○
4. ▲
5. ★
6. □
7. ○
8. ▲
9. ★
10. □
11. ○
12. ▲
13. ★
14. □
15. ○
16. ▲
17. ★
18. □
19. ○
20. ▲

Final Answer:
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