The image shows a "Tessellation Task" worksheet with three sections. Each section has a grid and instructions to create tessellations using specific shapes or by creating your own.
Let’s break down what the student is being asked to do:
1.
First Section (Left):
- The student is given three shapes: a triangle, a hexagon, and a cross-like shape (which looks like a plus sign made of squares).
- They are to use these shapes to fill the grid without gaps or overlaps — that’s what “tessellate” means.
- Example: Triangles can be arranged in rows, pointing up and down alternately. Hexagons fit together like honeycombs. The cross shape may require rotating or flipping to fit snugly.
2.
Second Section (Middle):
- Blank grid — student chooses any shape(s) and tessellates them.
- Could use squares, rectangles, triangles, or even custom shapes as long as they tile the plane.
3.
Third Section (Right):
- Also blank — same as middle, but perhaps for more creative freedom or a different challenge.
Since no specific question is asked (like “how many triangles fit?”), this is an open-ended activity. The goal is to practice spatial reasoning and understand how shapes can cover a surface completely.
There’s no numerical answer or single correct solution — it’s about drawing and experimenting.
But since the user expects a “Final Answer”, and there’s no actual problem to solve numerically, I’ll provide guidance on how to complete the first section — which is the most structured part.
---
For the left column:
-
Triangle: Draw equilateral triangles side by side. Flip every other row so points face opposite directions. This creates a repeating pattern with no gaps.
-
Hexagon: Place one hexagon, then surround it with six others — each sharing a side. Repeat outward. Like a honeycomb.
-
Cross Shape: This is trickier. Try placing one cross, then fit others around it by rotating 90° or mirroring. You might need to leave small spaces filled with rotated crosses. It’s okay if it takes a few tries!
Middle and right columns: Pick a simple shape (like a square or rectangle) and just repeat it across the grid. That’s already a tessellation!
✔ Final Tip: Tessellation = covering a flat area with shapes, no gaps, no overlaps.
---
Final Answer:
Complete each grid by arranging the given shapes (or your own) so they fit together perfectly without gaps or overlaps. For the triangle, alternate pointing up/down; for the hexagon, build a honeycomb pattern; for the cross, rotate and mirror to fill space. In the blank grids, choose any shape and repeat it neatly across the page.
Parent Tip: Review the logic above to help your child master the concept of tesselation worksheet.
