Street angles

Street angles

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Overview
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Connecting to the Curriculum
Marking Student Responses
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Further Resources
This task is about angle properties.

Question 1Change answer

street-angles-map.png
Work out the missing angles at each of these intersections and write them in the spaces below. 
Use your knowledge of angles to work out the missing angles at each of these intersections.
 
The angles are not drawn to size so do not measure them with a protractor.
a)
 
Murphy St. and Peter's Gr.
 
a =  °
 
b)
 
Main Rd. and Fort Ave.
 
b =  °
 
c)
 
Fort Ave. and Carter St.
 
c =  °
 
d)
Main Rd. and Clement St.
 d =  °
Task administration: 
This task can be completed with pencil and paper or online with auto-marking.
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Shape
Keywords: 
angles, angle properties, supplementary angles, interior angles, parallel lines
Description of task: 
Students use their knowledge of angle properties to identify missing angles identified on a street map.
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: 
 

Y8 (11/1999)
a) 150 difficult
b) 100 difficult
c) 125 very difficult
e) 115 very difficult
Diagnostic and formative information: 
   Common error Likely reason
a)
b)
c)
d)		 140 to 149
95 to 105 (but not 100)
117 to 127 (but not 125)
105 to 114		 Measures angle rather than calculates it.
a)
b)
c)
d)		 30 to 40
75 to 85
50 to 60
65 to 75		 Measures angles and reads all angles as between 0o and 90o, i.e., misreads scale.