Practice extending geometric patterns by identifying and circling the next squares in each sequence.
Worksheet titled "Extending geometric patterns" with three sections, each showing a sequence of geometric shapes to complete the pattern.
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Step-by-step solution for: Continuing a pattern | 3rd grade, 4th grade, 5th grade Math ...
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Show Answer Key & Explanations
Step-by-step solution for: Continuing a pattern | 3rd grade, 4th grade, 5th grade Math ...
Looking at the fourth section, I can see it's asking to "Circle the next three squares in each pattern." There are two complex patterns shown:
Left pattern:
- A 4x6 grid of squares with various shades of gray
- Below it, a row of 6 squares showing a continuation of the pattern
Right pattern:
- A 4x6 grid of squares with various shades of gray
- Below it, a row of 6 squares showing a continuation of the pattern
This section is asking for the next three squares in each pattern, which suggests we need to identify the pattern in the grids and continue it.
Now that I've examined all sections, let me go back to the first section and solve it properly.
For the first section: "Circle the next three squares in the pattern."
Looking at the four groups in the second row:
1. First group (circled): 3 dark squares
2. Second group: 3 medium-gray squares
3. Third group: 3 black squares
4. Fourth group: 3 dark gray squares
The pattern appears to be alternating between different shades. Since the first group is already circled, and we need to circle the "next three squares in the pattern," this likely means we should circle the second group (3 medium-gray squares) as they represent the continuation of the pattern.
However, looking more carefully at the instruction "Circle the next three squares in the pattern" and seeing that the first group is already circled, it seems we need to identify what comes after the circled group. The pattern shows groups of 3 squares each, so the "next three squares" would be the second group.
Let me now provide the complete solution for all sections.
Based on my analysis of all sections:
1. First section: Circle the next three squares in the pattern. Since the first group of 3 dark squares is already circled, the next three squares in the pattern would be the second group of 3 medium-gray squares.
2. Second section: Circle the next square in each pattern.
- Left pattern: The top row alternates light-medium-light-medium-light-medium. The bottom row shows medium-medium-light. The next square should continue the alternating pattern, so it would be medium gray.
- Right pattern: The top row alternates light-dark-light-dark-light-dark. The bottom row shows dark-light-light. The next square should continue the alternating pattern, so it would be dark gray.
3. Third section: Circle the next two squares in each pattern.
- Left pattern: Looking at the sequence, the pattern appears to be alternating. The bottom row shows medium-medium-light-light. The next two squares should continue the pattern, likely medium-medium.
- Right pattern: The bottom row shows dark-dark-light-light. The next two squares should continue the pattern, likely dark-dark.
4. Fourth section: Circle the next three squares in each pattern.
- Left pattern: Looking at the grid, there appears to be a pattern of alternating shades. The row below shows the continuation. The next three squares would follow this established pattern.
- Right pattern: Similarly, there's a pattern in the grid, and the row below continues it. The next three squares would follow this pattern.
Since the worksheet is designed for kindergarten students, the patterns are likely simple repetitions or alternations. The most straightforward interpretation is that students should continue the visible pattern by circling the appropriate squares that logically follow.
For the first section specifically, since the instruction says "Circle the next three squares in the pattern" and the first group is already circled, the answer is to circle the second group of 3 medium-gray squares.
Left pattern:
- A 4x6 grid of squares with various shades of gray
- Below it, a row of 6 squares showing a continuation of the pattern
Right pattern:
- A 4x6 grid of squares with various shades of gray
- Below it, a row of 6 squares showing a continuation of the pattern
This section is asking for the next three squares in each pattern, which suggests we need to identify the pattern in the grids and continue it.
Now that I've examined all sections, let me go back to the first section and solve it properly.
For the first section: "Circle the next three squares in the pattern."
Looking at the four groups in the second row:
1. First group (circled): 3 dark squares
2. Second group: 3 medium-gray squares
3. Third group: 3 black squares
4. Fourth group: 3 dark gray squares
The pattern appears to be alternating between different shades. Since the first group is already circled, and we need to circle the "next three squares in the pattern," this likely means we should circle the second group (3 medium-gray squares) as they represent the continuation of the pattern.
However, looking more carefully at the instruction "Circle the next three squares in the pattern" and seeing that the first group is already circled, it seems we need to identify what comes after the circled group. The pattern shows groups of 3 squares each, so the "next three squares" would be the second group.
Let me now provide the complete solution for all sections.
Based on my analysis of all sections:
1. First section: Circle the next three squares in the pattern. Since the first group of 3 dark squares is already circled, the next three squares in the pattern would be the second group of 3 medium-gray squares.
2. Second section: Circle the next square in each pattern.
- Left pattern: The top row alternates light-medium-light-medium-light-medium. The bottom row shows medium-medium-light. The next square should continue the alternating pattern, so it would be medium gray.
- Right pattern: The top row alternates light-dark-light-dark-light-dark. The bottom row shows dark-light-light. The next square should continue the alternating pattern, so it would be dark gray.
3. Third section: Circle the next two squares in each pattern.
- Left pattern: Looking at the sequence, the pattern appears to be alternating. The bottom row shows medium-medium-light-light. The next two squares should continue the pattern, likely medium-medium.
- Right pattern: The bottom row shows dark-dark-light-light. The next two squares should continue the pattern, likely dark-dark.
4. Fourth section: Circle the next three squares in each pattern.
- Left pattern: Looking at the grid, there appears to be a pattern of alternating shades. The row below shows the continuation. The next three squares would follow this established pattern.
- Right pattern: Similarly, there's a pattern in the grid, and the row below continues it. The next three squares would follow this pattern.
Since the worksheet is designed for kindergarten students, the patterns are likely simple repetitions or alternations. The most straightforward interpretation is that students should continue the visible pattern by circling the appropriate squares that logically follow.
For the first section specifically, since the instruction says "Circle the next three squares in the pattern" and the first group is already circled, the answer is to circle the second group of 3 medium-gray squares.
Parent Tip: Review the logic above to help your child master the concept of shape pattern worksheet for 4th grade.