Problem Description:
The task involves completing a tessellation pattern by adding more shapes to the grid. The provided image shows two grids, each containing a partial tessellation of shapes. The goal is to extend the pattern logically by adding more shapes to complete the tessellation.
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Step-by-Step Solution:
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Grid 1:
1.
Observation of the Pattern:
- The grid contains a repeating pattern of squares.
- Each square is aligned in a way that they fit together perfectly without gaps or overlaps.
- The squares are arranged in a staggered manner, where each row is offset from the previous one.
2.
Identifying the Repetition:
- The pattern repeats every two rows.
- In the first row, there is a square in the first column.
- In the second row, there is a square in the second column.
- This staggered arrangement continues.
3.
Completing the Pattern:
- To complete the tessellation, we need to continue this staggered pattern.
- Add squares in the third and fourth rows following the same staggered alignment:
- Third row: Place a square in the third column.
- Fourth row: Place a square in the fourth column.
4.
Final Grid for Grid 1:
- After adding the squares, the grid will have a consistent staggered pattern of squares filling the entire grid.
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Grid 2:
1.
Observation of the Pattern:
- The grid contains a repeating pattern of diamonds (rhombuses).
- The diamonds are oriented such that their points align with the grid lines.
- The diamonds are arranged in a staggered manner similar to the squares in Grid 1.
2.
Identifying the Repetition:
- The pattern repeats every two rows.
- In the first row, there is a diamond in the first column.
- In the second row, there is a diamond in the second column.
- This staggered arrangement continues.
3.
Completing the Pattern:
- To complete the tessellation, we need to continue this staggered pattern.
- Add diamonds in the third and fourth rows following the same staggered alignment:
- Third row: Place a diamond in the third column.
- Fourth row: Place a diamond in the fourth column.
4.
Final Grid for Grid 2:
- After adding the diamonds, the grid will have a consistent staggered pattern of diamonds filling the entire grid.
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Final Answer:
By following the steps above, the completed grids will have the following patterns:
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Grid 1: A complete tessellation of squares in a staggered pattern.
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Grid 2: A complete tessellation of diamonds in a staggered pattern.
Thus, the solution is to
add squares and diamonds in the specified staggered positions to fill the grids completely.
$$
\boxed{\text{Complete the grids by adding shapes in the staggered pattern as described.}}
$$
Parent Tip: Review the logic above to help your child master the concept of tessellations worksheet printable.
