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Geometric pattern sequences showing progression in shape arrangement and complexity.

A grid of geometric patterns featuring sequences of squares, circles, triangles, and other shapes arranged in evolving designs.

A grid of geometric patterns featuring sequences of squares, circles, triangles, and other shapes arranged in evolving designs.

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Show Answer Key & Explanations Step-by-step solution for: Cool math blog | Math patterns, Learning math, Middle school math
- The task is to identify the pattern in each row and select the correct option from the right column that completes the sequence.
- In the first row, the shapes are made of squares increasing by 3 each time (3, 6, 9). The right column shows circles increasing by 3 (3, 6, 9), so the next should be 12 circles.
- In the second row, the shapes are made of squares forming a rectangle with an increasing number of rows: 2x2, 2x3, 2x4. The right column has similar patterns but with different arrangements; the last one is 4x4, which fits the pattern of increasing size.
- In the third row, the shapes are triangles forming larger triangles: 1, 4, 9 (squares of 1, 2, 3). The right column has squares: 1, 4, 9, so the next should be 16 squares (4x4).
- In the fourth row, the shapes are squares forming frames with increasing thickness: 1, 2, 3. The right column has U-shapes with increasing segments: 1, 2, 3, so the next should be 4 segments.

The correct answers for each row are:
- First row: 12 circles
- Second row: 4x4 square arrangement
- Third row: 4x4 square grid
- Fourth row: U-shape with 4 segments
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet middle school.
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