Sharing fruit and vegetables

Sharing fruit and vegetables

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Overview
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Connecting to the Curriculum
Marking Student Responses
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Further Resources
This task is about equal sharing.
fruit-and-vegetables.png
Mr Tetau sorted out the fruit he had picked. He had:
 
50 mandarins             20 lemons         38 oranges
 
He sorted them into 9 bags of mixed fruit. Each bag had the same number of fruit in it.

Question 2Change answer

a)  How many pieces of fruit were in each bag?

Question 2Change answer

b)  Mr Tetau shared all the 50 mandarins as evenly as he could between the 9 bags.
     What was the greatest whole number of mandarins in a bag?
     

Question 2Change answer

c)  Mr Tetau also had 60 potatoes and 28 Kūmara.
     He divided these into 9 bags so each bag had an equal number of vegetables in them.
     How many vegetables were left over?
Task administration: 
This task can be completed with pencil and paper and online with auto-marking.
Levels:
3, 4
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
addition, division, equal sharing, remainders
Description of task: 
Students calculate the numbers of pieces of fruit and vegetables divided evenly into bags, and any remainder.
Curriculum Links: 
This resource can help to identify students' ability to apply additive or simple multiplicative ideas flexibly to combine or partition whole numbers to solve division with remainders problems.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Additive thinking, sets 6-7
Additive thinking, sets 7-8
Multiplicative thinking, sets 4-5
Multiplicative thinking, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 
Y6 (06/1997)
Y7 (06/1997)
a) 12 moderate moderate
b) 6 very difficult very difficult
c) 7 difficult difficult
Diagnostic and formative information: 
    Common error Likely reason
b) 5 Minimum number (5) given instead of maximum number (6). Need to round up not down.
b) 5.5 Due to context, needs to round. Cannot have a fraction of a mandarin.