Food fractions II

Food fractions II

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about fractions of sets.
 
 
a)
 		 Draw a circle around \(1 \over 2\) of the apples.
 
         

 
b)
 		 Draw a circle around \(1 \over 4\) of the lemons.
 
          
 
c)
 		 Draw a circle around \(2 \over 5\) of the bananas.
 
 
 
d)
 		 Draw a circle around \(1 \over 3\) of the strawberries.
 
 
 
e)
 		 Draw a circle around \(3 \over 4\) of the watermelons.
 
 
Task administration: 
This task is completed with pencil and paper only.
Levels:
2, 3
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
fractions, fractions as operators, sets
Description of task: 
Students circle part of a collection of fruit pictures to show their understanding of fractional numbers.
Curriculum Links: 
This resource can help to identify students' ability to find fractions of sets, shapes, and quantities.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 3-4
Multiplicative thinking, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y5 (04/99)
a) For circling 6 apples. easy
b) For circling 1 lemon. moderate
c) For circling 2 bananas. moderate
d) For circling 2 strawberries. difficult
e) For circling 6 watermelons. difficult
Diagnostic and formative information: 
  Common error Likely reason
a)
d)
e)		 1
1
3		 Circles the number in the numerator. [If students have all 3 of these answers, they may have got b) and c) right for the wrong reasons.]
a)
b)
c)
d)
e)		 2
4
5
3
4		 Circles the number in the denominator.
b)
 
d)		 3
 
4		 Shows rather than
Shows rather than