Fencing the field

Fencing the field

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 working out the perimeter of shapes.

A farmer has four fields to fence. Each field is shown with its size. Fields A and B are rectangles.
Work out how many metres of fencing are needed for each field.

Question 1Change answer

Field A
ms2022_1.jpg
How many metres of fencing are needed for this field?  metres

Question 1Change answer

Field B
ms2022_2.jpg
How many metres of fencing are needed for this field?  metres

Question 1Change answer

Field C
ms2022_3.jpg
How many metres of fencing are needed for this field?  metres

Question 1Change answer

Field D
ms2022_4.jpg
  How many metres of fencing are needed for this field?  metres
Task administration: 
This task can be completed with pencil and paper or online with auto-marking.
Levels:
3, 4
Curriculum info: 
Maths, Geometry and Measurement, Measurement
Keywords: 
perimeter, rectangles
Description of task: 
Students find the perimeters for range of different 4-sided polygons.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Additive thinking, sets 6-7
Additive thinking, sets 7-8
Measurement sense, set 5
Measurement sense, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y6 (07/1997)

Y7 (07/1997)
a) 32 moderate easy
b) 24 moderate easy
c) 32 easy very easy
d) 63 easy easy
Diagnostic and formative information: 
  Common error Likely calculation Likely reason
a)
b)		 60
32		 10 × 6
8 × 4		 Confuses area and perimeter.
c)
d)		 3840
57 120		 6 × 8 × 8 × 10
12 × 14 × 17 × 20		 Confuses area and perimeter and wrong idea of area.