Making numbers II

Making numbers II

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Overview
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Marking Student Responses
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Further Resources
This task is about making numbers of different sizes.

Question

a)  Ina wrote down all the numbers she could using the three digits 9, 4, and 7   
young girl, Ina
497 974 749
947 794 479
 
     i)  What was the lowest number Ina made? 
    • 497

    • 974

    • 749

    • 947

    • 794

    • 479

Question

     ii) What was the highest number she made? 
    • 497

    • 974

    • 749

    • 947

    • 794

    • 479

Question 1Change answer

b)  Tana wrote down different numbers using these digits.
young boy, Tana
7 7 3
     i)   What was the lowest number Tana could have written using only two of these digits?
     ii)  What was the highest number he could have written using only two of these digits?  
     iii) What was the lowest number he could have written using all three of these digits?
     iv) What was the highest number he could have written using all three of these digits?
Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
2
Description of task: 
Students identify lowest and highest values from 2- and 3-digit whole numbers.
Answers/responses: 
 

Y4 (11/98)

a) i)
ii)
479
974
easy
easy
b) i)
ii)
iii)
iv)
37
77
377
773
moderate
moderate
moderate
moderate

 

Diagnostic and formative information: 
  Common error Likely calculation Likely reason
b) i)-
    iv)
3, 7, 3, 7   Uses only one digit rather than two or three.
b) i)
    ii)
73
37
  Confuses lowest and highest.
b) i)
    ii)
    iii)
    iv)
10
14
17
17
7 + 3
7 + 7
3 + 7 + 7
3 + 7 + 7
Tries to do addition on single digits to get biggest number.
[Some children may try multiplication and get 21, 49, 147, 147 respectively.]