Equivalent fractions

Equivalent fractions

Pencil and paper
Overview
Using this Resource
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Marking Student Responses
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This task is about working with equivalent fractions.
a)   i)   Which fraction is not equivalent to 14?
             (A)   416
             (B)   832
             (C)   1264
             (D)   32128
 
       ii)   Which fraction is not equivalent to 1545?
             (A)   618
             (B)   827
             (C)   1236
             (D)   1854

b)   Write these fractions in their simplest form.
 
  i) 315  = ​ ​
  ii) 1824  = ​ ​
  iii) 1521  =
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
equivalent fractions, simplest form
Description of task: 
Students identify equivalent fractions, and write fractions in their simplest forms.
Curriculum Links: 
This resource can help to identify students' ability to apply additive or multiplicative strategies flexibly to whole numbers, ratios and equivalent fractions (including decimals and percentages).
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) i)
ii)		 C
B		 moderate
moderate
b)
i)
ii)
iii)
1/5
3/4
5/7
difficult
difficult
difficult
Diagnostic and formative information: 
  Common error Likely calculation Likely reason
 
b) i)

    ii)

    iii)
 
, ,
  Cannot simplify to simplest form.
 
b) i)

    ii)

    iii)
 

  
5

1.6

1.6
 

 = 5
= 1 r 6
= 1 r 6		 Inverts and divides (giving answer as whole number plus remainder).
 
b) i)

    ii)
 
 
1 ÷ (15 ÷ 5)

(15 ÷ 5) ÷ 7
 

 Uses wrong common factor (i.e., 5 instead of 3).