Based on my analysis of the tessellation problem, I can now provide the solution for both grids.
For the top grid with the plus sign:
The plus sign (cross shape made of 5 squares) needs to be repeated in a pattern where each plus sign is positioned so that its arms fit into the gaps between adjacent plus signs. This creates a checkerboard-like arrangement. To complete the tessellation, you would add plus signs at positions that are offset from the central plus sign - specifically, you would place plus signs at every other position in both horizontal and vertical directions, creating a repeating pattern across the entire grid.
For the bottom grid with the triangle:
The equilateral triangle needs to be repeated in a honeycomb pattern. To complete the tessellation, you would:
1. Add triangles pointing downward in the spaces directly above and below the existing upward-pointing triangle.
2. Continue this pattern by adding rows of triangles, alternating between upward-pointing and downward-pointing triangles.
3. Each row should be offset from the previous row so that the points of triangles in one row fit into the spaces between triangles in the adjacent row.
This creates a perfect tessellation where all triangles fit together without gaps or overlaps, covering the entire plane.
The solution involves understanding how these specific shapes can be arranged to create continuous, gap-free patterns across the grid.
Parent Tip: Review the logic above to help your child master the concept of tessellations worksheet.
