Cubes and faces II

Cubes and faces II

Auto-markingPencil and paperOnline interactive
Overview
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Connecting to the Curriculum
Marking Student Responses
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Further Resources
This task is about finding the number of faces that are showing on a shape.

Question 1Change answer

cubes-in-a-line.png
a)  Arorangi had five cubes. She painted a dot on every face of each cube.
     How many dots did she paint altogether?  

Question 1Change answer

cubes-in-a-shape.png
 
b)  Arorangi made the shape above by glueing the five cubes together. She picked up the shape and looked at all of its sides.
     i)   How many dots could she see in total?  
     ii)  How many cubes had three dots that she could see?  
Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
3
Description of task: 
Students identify the number of faces for different 3-dimensional cube models.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y7 (04/1998)

a)   30 easy
b) i)
ii)
22
1
difficult
difficult
Diagnostic and formative information: 
  Student response Likely reason
a)  
b)    i)
  ii)
15
11
2
Counts only those dots that are visible in the drawing.