Puzzling shapes

Puzzling shapes

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 arranged to make different shapes.
Show how to make each of the shapes below by using all four pieces.
Draw lines on the shapes below to show where each of the four pieces will fit. An example has been done.
Example:
 
a) b)

 

c) d)

 

Task administration: 
This task can be completed by pencil and paper only.
Levels:
3, 4
Curriculum info: 
Maths, Geometry and Measurement, Shape
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: 
 

Y8 (06/1998)
a)   or   easy
b)   or   easy
c)   or its mirror image. moderate
e)   or any mirror images. moderate

    

NOTE:
In each shape, pieces 2 and 3 are interchangeable.
i)    Accept if numbers are not given on the diagram.
ii)   Accept if shapes are not drawn exactly.