What fraction am I?

What fraction am I?

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working with simple fractions.
 
a)
One of my equivalent fractions is \(1 \over 2\) and my denominator is 10.
 
 

What fraction am I? __________
 
 
b)
One of my equivalent fractions is \(1 \over 3\) and my numerator is 6.
 
 

What fraction am I? __________
 
 
c)
One of my equivalent fractions is \(1 \over 4\) and my numerator and denominator add together to make 20.
 
 

What fraction am I? __________
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
equivalent fractions
Description of task: 
Using clues, students identify an equivalent fraction for a given fraction.
Curriculum Links: 
This resource can help to identify students' understanding of equivalent fractions for the Number and Algebra objectives.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y9 (03/1999)
a) 5/10 difficult
b) 6/18 very difficult
c) 4/16 very difficult
Diagnostic and formative information: 
  Common error Likely reason
 
a)

b)
 
Confuses numerator and denominator.
c)
Reads "denominator = 20"

Confuses and

 
a)

b)

c)
 

  
5

2

5
 

 Numerator of
Numerator of
Numerator of or