Playing with Perimeter
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Approach:  Independent  
Level: Year 8
Focus: Perimeter and area  
Resources:
Ruler, answer booklet
90kb
Questions/instructions:

Shapes with the same perimeter can have different areas.

 
 
% responses
2009 ('05)
-
y8
1. Draw 3 rectangles that have perimeters of 24 cm. Write the area in the middle of each rectangle.
   
First Rectangle:
Drew: rectangle
79 (81)
Perimeter: 24 cm
43 (39)
Correct area given: with units (cm2)
14 (15)
correct area given, no units/cms ONLY 11 (14)
Second Rectangle:
Drew: rectangle
51 (55)
Perimeter: 24 cm
31 (34)
Correct area given: with units (cm2)
13 (18)
correct area given, no units/cms ONLY. 8 (10)
Third Rectangle:
Drew: rectangle
47 (46)
Perimeter:
24 cm
29 (29)
Correct area given:
with units (cm2)
12 (16)
correct area given, no units/cms ONLY 6 (9)
Overall: drew three rectangles, all with 24 cm perimeters, all with different areas 20 (21)
drew three rectangles, all with 24 cm perimeters, two or more with same areas 1 (2)

Total score:
11–14
  14 (19)
8–10
10 (10)
5–7
12 (6)
2–4
28 (30)
0–1
36 (35)
Subgroup Analysis [Click on charts to enlarge] :
Year 8


Commentary:
Many year 8 students were not skilled in calculating the perimeters or areas of rectangles. There was little change in performance from 2005 to 2009. About half of Mäori and Pasifika students and 29% of Pakeha students had virtually no success with this task.