Inside a triangular prism

Inside a triangular prism

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about finding right angles on a triangular prism.
triangular-prism.png
 
a)  Build the triangular prism shown above using the sticks and blu-tack on the corners
     and label the corners as shown by sticking paper to blu-tack on the corners.
 
 

Show the model to your teacher before doing part b).

Question 1Change answer

b)  Select "Yes" if the triangle is a right angled triangle, otherwise select "No".
     Your model will help you decide.
Triangle
Is the triangle Right-angled?
(Select one)
i)     ADF YesNo
ii)    ABC YesNo
iii)   AFC YesNo
iv)   DCE YesNo
v)    BCF YesNo
vi)   ACE YesNo
vii)  BDE YesNo
viii) ADE  YesNo
ix)   BCD YesNo
x)    ABE YesNo
 
Task administration: 
This task can be completed with pencil and paper or online (with auto-marking displayed to students).  
It has a practical component.
 
Equipment
Blu-tack; sticks or straws in the following quantities: 3 sticks 12 cm long; 2 sticks 10 cm long; 2 sticks 8 cm long; 2 sticks 6 cm long.
  • This task is for students to carry out individually.
  • This task is completed with pencil and paper, and other equipment.
  • Check the student's shape before they do part b). Make sure it is a right-angled prism.
  • Students may do part b) only from an existing skeleton model. Students may use a prism built by someone else and then no marks would be allocated for part a).
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Shape
Keywords: 
model construction, triangular prisms, interior angles, right angled triangles
Description of task: 
Students build a triangular prism and identify some of the interior right-angled triangles.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Geometric thinking, set 6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
a)   Triangular prism correctly built.
b) i)
ii)
iii)
iv)
v)
vi)
vii)
viii)
ix)
x)		 Yes
Yes
No
Yes
Yes
Yes
No
Yes
Yes
Yes
 
NOTE: Students could use a protractor to 'check' answers after completing b).
Diagnostic and formative information: 
Common error Likely reason
BCF or ADE
AFC or BDE		 Not seen as right-angled triangles.
Seen as right-angled triangles.