Tessellating patterns II

Tessellating patterns II

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about tessellating shapes.
a)   Draw four on the grid, so that the whole grid is covered.
 
 

 
 
b)   Draw four on the grid, so that the whole grid is covered.
 
 
 
 
 
 
 
c)   Draw four on the grid, so that the whole grid is covered.
  
 
 
 
 
d)   Draw four on the grid, so that the grid is covered differently from c).
 
Task administration: 
This task can be completed with pencil and paper.
Level:
4
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
tessellations, drawing
Description of task: 
Students use given shapes to cover grids in tessellating patterns.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Geometric thinking, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (05/2000)
a)
[Other answers possible.]		 very easy
b)
[Other answers possible.]		 easy
c) Any 1 of:
 
oror
[Accept rotations or reflections of these shapes.]		 easy
d) Any 1 of:
 
oror
[Accept rotations or reflections of these shapes but do not accept an answer exactly the same as the answer given for c).]		 easy

Note: A shape tessellates (tiles or covers the plane) only if it is rotated or translated. So a) shows a tessellation using one shape but only some of b) or c) do.
The others show two related pieces that tessellate.