Puzzling shapes III

Puzzling shapes III

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources

This task is about showing how to make a large shape out of four smaller shapes.

These four pieces of a puzzle can be used to make different shapes.

a) Show how you could make each of the shapes below by using any two of the pieces above. Draw lines on the shapes to show where each of the two pieces will fit. An example has been done.

 

  Example:   

 

  i) ii)

b)
Show how you could make each of these shapes below by using any three of the pieces above.

 

  i) ii)

 

Task administration: 
This task can be completed by pencil and paper only.
Levels:
3, 4
Curriculum info: 
Maths, Geometry and Measurement, Shape
Key Competencies: 
Thinking
Keywords: 
tangrams, shape properties
Description of task: 
Students draw lines on shapes to show how they have been constructed from four smaller shapes.
Curriculum Links: 
This resource can help to identify students' considering different shape properties to construct given 2-dimensional shapes.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Geometric thinking, sets 3-4
Geometric thinking, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y6 (06/1998)
a) i)

ii)

easy

 

easy
b)

i)

 

ii)

or

or

or

 difficult

 

difficult

  

NOTE:

i)    Shapes 1 & 3 can be interchanged.
ii)   Students are not required to write numbers on the different shapes as part of their
      answers.