Sharing things

Sharing things

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 an area or objects.
a)     Mr Koro said he would weed half (\(1 \over 2\)) of the garden.
   
Aroha and Ben said that they would each weed half of the rest.
 
  i) On this plan of the māra kai, write the name of the person who weeded each piece.
 
   

Plan of the Garden

 
  ii) What fraction of the garden did Aroha weed? __________
 

grapes.png
b) Zoe had 16 grapes. She gave half to Toby.

How many grapes did Toby get? __________
 

Chocolate
c) Jenny shared her chocolate bar with Kate and Linda. They all had the same amount.
 
  
i)
 
ii)
  
What fraction of the chocolate bar did Jenny have? __________
 
What fraction of the chocolate bar did Jenny give away? __________
Task administration: 
This task is completed with pencil and paper only.
Level:
2
Curriculum info: 
Maths, Number and Algebra, Number Knowledge
Keywords: 
fractions, part-whole fractions, partitioning
Description of task: 
Students colour in a diagram to show fractions, and calculate fractions from a word problem and a diagram.
Answers/responses: 
  Y5 (04/1999)
a) i)
 
 
 
 
ii)
Koro
*Aroha *Ben
 
*NOTE: Aroha/Ben are interchangeable. 
1/4 or a quarter
easy
 
 
 
 
moderate
b)     8 easy
c)  i)
ii)		 1/3 or a third
2/3 or two thirds		 difficult
 
difficult
Diagnostic and formative information: 
  Common error Likely reason
a) ii)
    ii)		 1/2
1/3		 Interprets "half of the rest" with "half of the total".
Uses number of people as the denominator which assumes each person weeds an equal share.
c) i)
    ii)		 1/4
1/2 or 2/4		 Treats fraction as quarters rather than thirds.
c) i)
    ii)		 1/2
1/2 or 2/2		 Treats fraction as halves rather than thirds.