Printable math worksheet for identifying and continuing growing and repeating patterns using colorful geometric shapes.

I will solve this "Growing & Repeating Pattern" worksheet by analyzing each sequence and determining the next picture that logically follows.

I'll examine each of the five patterns one by one to identify the rule governing them.

Pattern 1

- Sequence: Blue Square, Red Star, Blue Square, Red Star, Blue Square
- This is a simple alternating pattern: Square, Star, Square, Star, Square.
- The next item in the sequence should be a Red Star.

Pattern 2

- Sequence: Green L-shape with 1 purple square, Green L-shape with 2 purple squares, Green L-shape with 3 purple squares
- This is a growing pattern where the number of purple squares increases by one each time.
- The next item should be a Green L-shape with 4 purple squares.

Pattern 3

- Sequence: Yellow Circle, Purple Parallelogram, Purple Parallelogram, Yellow Circle, Purple Parallelogram
- This appears to be a repeating pattern of "Circle, Parallelogram, Parallelogram".
- The sequence so far is: Circle, Par, Par, Circle, Par.
- Following the pattern, the next item should be a Purple Parallelogram.

Pattern 4

- Sequence: 1 blue dot, 3 blue dots (in a triangle), 5 blue dots (in a cross or plus shape)
- This is a growing pattern where the number of dots increases by 2 each time (1, 3, 5).
- The next number in the sequence would be 7 dots.
- The arrangement seems to be adding dots around the center. The next shape should have 7 blue dots, likely arranged in a larger cross or star pattern.

Pattern 5

- Sequence: Red Rectangle, Blue Pentagon, Red Rectangle, Red Rectangle, Blue Pentagon
- This seems to be a repeating pattern of "Rectangle, Pentagon, Rectangle, Rectangle, Pentagon".
- The sequence is: Rect, Pent, Rect, Rect, Pent.
- Following this pattern, the next item should be a Red Rectangle.

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Final Answers:

1. Red Star
2. Green L-shape with 4 purple squares
3. Purple Parallelogram
4. 7 blue dots (arranged in a cross/star pattern)
5. Red Rectangle

These are the logical next items for each pattern based on the observed rules of repetition and growth.