Tiling around the pool

Tiling around the pool

Pencil and paper
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Connecting to the Curriculum
Marking Student Responses
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This task is about working out the area, perimeter, and number of tiles needed for a swimming pool.

[Not drawn to scale]
   

Maxine's swimming pool is 14 metres by 4 metres. She plans to put tiles on the rest of her backyard space as shown in the diagram above.
   

a) What is the perimeter of the swimming pool?   ___________ m
   
b)
Work out the area of the space to be tiled.
Show your working and put your answer in the box.
   

 

 

 

Area Maxine plans to tile = _________________ m²

c)
 
Each tile measures 500 mm × 500 mm. Work out how many tiles Maxine will need.
Show your working and put your answer in the box.
  

 

 

 

Maxine needs = __________________ tiles
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Measurement
Keywords: 
perimeter, area, composite shapes
Description of task: 
Students use the measurements of a swimming pool and surrounding area to calculate perimeter, area and quantity of tiles needed for the surrounds.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Measurement sense, sets 7-8
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

  

Y10 (10/1999)

1 mark

a)

36

easy

2 marks
or
1 mark

b)

144 and shows correct working.

Either:
•   Area of big rectangle – area of small rectangle.
•   Adds together composite rectangles that make up 
     the tiled area.

Either:
•   144 but does not show correct working.
•   Shows correct method of working but working has 
     one error.

2 marks – moderate

1 mark – easy

2 marks
or
1 mark

c)

576 [accept b) × 4] and shows correct working.

Either:
•   Area of tiled area × 4.
•   Area of tiled area ÷ 0.25.

Either:
•   576 [accept b) × 4]but does not show correct 
     working.
•   Shows correct method of working but working has 
     one error.

2 marks – difficult

1 mark – difficult
Diagnostic and formative information: 

 

Common error

Likely calculation

Likely reason

a)

56

14 × 4

Confuses area and perimeter.

b)

164
63

200 - 36
(17 × 7) - 56

Subtracts perimeter from area.
Calculates wrong lengths and widths for larger rectangle.