Painting car parks

Painting car parks

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
This task is about working out unknown angles.
pot of paint
Jasmine was painting car park lines on the ground at her school. Each line was painted parallel to the others and against a wall.

Question 1Change answer

a)  Firstly she painted the lines in the main carpark.
     Use your knowledge of angles to work out the marked angles in the carparks below.
     Give a reason for each of your answers.
 
painting-car-parks-diagram-2.png[Not drawn to scale]
     i)  a = °
     Reason: 
     ii) b = °
     Reason:

Question

b)  Jasmine made a mistake and painted the lines in the maths department carpark
     so that one line was not parallel to the other lines.
     Use your knowledge of angles to select the line which is not parallel.
 
diagram of car parks[Not drawn to scale]

    • Line A

    • Line B

    • Line C

    • Line D

Task administration: 
This task can be completed with pencil and paper or online (with SOME auto marking).
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Shape
Keywords: 
angles, parallel lines, co-interior angles, corresponding angles
Description of task: 
Using the context of carpark lines, students are required to apply their knowledge of angles on parallel lines to calculate unknown angles and identify a non-parallel line from a selection of lines.
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: 

 

Y11 (10/2001)

a)

i)

 

ii)

 

120
Corresponding angles are equal (on parallel lines).
60 or 180° – answer to a)
Co-interior angles add to 180° (on parallel lines) or adjacent angles on a straight line equal 180°.

very easy
moderate
easy
moderate

b)

   

Line B.

easy

 

Diagnostic and formative information: 
  

Common error

Likely reason

a) ii)

120°

Assuming or states that co-interior angles on parallel lines are equal.