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=== Activity 3 Fraction representation and rational and irrational numbers ===
 
=== Activity 3 Fraction representation and rational and irrational numbers ===
 
   
 
   
'''''Learning'''''
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'''''Learning Objectives'''''
Objectives
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Understand fraction representation and rational and irrational
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numbers
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'''''Materials and'''''
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resources required
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Understand fraction representation and rational and irrational numbers <br>
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'''''Materials and resources required'''''
 
   
 
   
Thread
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Thread of a certain length.
of a certain length.
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'''''Pre-requisites/'''''
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'''''Pre-requisites/Instructions Method'''''
Instructions Method
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Construct
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Koch's snowflakes .
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Construct Koch's snowflakes .
 
   
 
   
 
Start
 
Start
 
with a thread of a certain length (perimeter) and using the same
 
with a thread of a certain length (perimeter) and using the same
 
thread construct the following shapes (see Figure).
 
thread construct the following shapes (see Figure).
   
   
 
   
 
[[Image:KOER%20Fractions_html_m1a6bd0d0.gif]]
 
[[Image:KOER%20Fractions_html_m1a6bd0d0.gif]]
   
   
 
   
 
See
 
See
 
how the shapes can continue to emerge but cannot be identified
 
how the shapes can continue to emerge but cannot be identified
definitely with the same perimeter (length of the thread).
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definitely with the same perimeter (length of the thread).  
 
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Identify
 
Identify
the various places where pi, &quot;e&quot; and the golden ratio
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the various places where pi, &quot;e&quot; and the golden ratio occur
occur
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== Evaluation ==
 
== Evaluation ==
 
# How many numbers can I represent on a number line between 1 and 2.
 
# How many numbers can I represent on a number line between 1 and 2.
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# Introducing Fractions Using Share and Measure Interpretations: A Report from Classroom Trials . Jayasree Subramanian, Eklavya, Hoshangabad, India and Brijesh Verma,Muskan, Bhopal, India
 
# Introducing Fractions Using Share and Measure Interpretations: A Report from Classroom Trials . Jayasree Subramanian, Eklavya, Hoshangabad, India and Brijesh Verma,Muskan, Bhopal, India
 
# Streefland, L. (1993). “Fractions: A Realistic Approach.” In Carpenter, T.P., Fennema, E., Romberg, T.A. (Eds.), Rational Numbers: an Integration of Research. (289-325). New Jersey: Lawrence, Erlbaum Associates, Publishers.
 
# Streefland, L. (1993). “Fractions: A Realistic Approach.” In Carpenter, T.P., Fennema, E., Romberg, T.A. (Eds.), Rational Numbers: an Integration of Research. (289-325). New Jersey: Lawrence, Erlbaum Associates, Publishers.
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[[Category:Fractions]]

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