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From Karnataka Open Educational Resources
817 bytes added ,  07:39, 5 November 2019
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# If you want to understand improper fraction , example 8/3. In the equal share model , 8/3 represents the share that each child gets when 8 rotis are divided among 3 children equally. The child in this case will usually distribute 2 full rotis to each child and then try to divide the remaining rotis. At this point you can show the mixed fraction representation as 2 2/3
 
# If you want to understand improper fraction , example 8/3. In the equal share model , 8/3 represents the share that each child gets when 8 rotis are divided among 3 children equally. The child in this case will usually distribute 2 full rotis to each child and then try to divide the remaining rotis. At this point you can show the mixed fraction representation as 2 2/3
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[[Image:KOER%20Fractions_html_m66ce78ea.gif]]
 
[[Image:KOER%20Fractions_html_m66ce78ea.gif]]
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We can apply that
 
We can apply that
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'''''Evaluation'''''
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== Evaluation ==
 
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When
 
When
 
we divide by a fraction is the result larger or smaller why ?
 
we divide by a fraction is the result larger or smaller why ?
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  −
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== Evaluation ==
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== Self-Evaluation ==
 
== Self-Evaluation ==
 
This '''PhET simulation''' enables you to
 
This '''PhET simulation''' enables you to
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used to show how to link these other topics with the already
 
used to show how to link these other topics with the already
 
understood concepts of fractions.
 
understood concepts of fractions.
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== Objectives ==
 
== Objectives ==
 
   
 
   
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[[Image:KOER%20Fractions_html_m22cda036.gif]]
 
[[Image:KOER%20Fractions_html_m22cda036.gif]]
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But
 
But
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'''''Learning'''''
 
'''''Learning'''''
 
Objectives  
 
Objectives  
   
   
 
   
 
Fractions representation of decimal
 
Fractions representation of decimal
 
numbers
 
numbers
   
   
 
   
 
'''''Materials and'''''
 
'''''Materials and'''''
 
resources required
 
resources required
   
   
 
   
[[http://www.superteacherworksheets.com/decimals/decimal-tenths-squares_TWDWQ.pdf]]
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[[http://www.superteacherworksheets.com/decimals/decimal-tenths-squares_TWDWQ.pdf Decimals: Tenths]]
 
   
   
 
   
[[http://www.superteacherworksheets.com/decimals/decimal-hundredths-tenths.pdf]]
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[[http://www.superteacherworksheets.com/decimals/decimal-hundredths-tenths.pdf Decimal: Hundredths and Tenths]]
 
   
   
 
   
 
   
 
   
 
'''''Pre-requisites/'''''
 
'''''Pre-requisites/'''''
 
Instructions Method  
 
Instructions Method  
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Make copies of the worksheets
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[[http://www.superteacherworksheets.com/decimals/decimal-tenths-squares_TWDWQ.pdf]]
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[[http://www.superteacherworksheets.com/decimals/decimal-hundredths-tenths.pdf]]
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Make copies of the above given resources.
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'''''Evaluation'''''
 
'''''Evaluation'''''
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# Draw a number line and name the fraction and decimal numbers on the number line. Take a print of the document [[http://www.superteacherworksheets.com/decimals/decimal-number-lines-tenths.pdf]] ''' . '''Ask students to place any fraction and decimal numbers between between 0 and 10 on the number line
 
# Draw a number line and name the fraction and decimal numbers on the number line. Take a print of the document [[http://www.superteacherworksheets.com/decimals/decimal-number-lines-tenths.pdf]] ''' . '''Ask students to place any fraction and decimal numbers between between 0 and 10 on the number line
 
# Write 0.45, 0.68, 0.05 in fraction form and represent as a fraction 100 square.
 
# Write 0.45, 0.68, 0.05 in fraction form and represent as a fraction 100 square.
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=== Activity 2 Fraction representation and percentages ===
 
=== Activity 2 Fraction representation and percentages ===
 
   
 
   
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Objectives  
 
Objectives  
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Understand fraction representation and percentages  
Understand fraction representation and percentages
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'''''Materials and'''''
 
'''''Materials and'''''
 
resources required
 
resources required
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[[http://www.superteacherworksheets.com/percents/converting-fractions-decimals-percents_EASIE.pdf Converting fractions, decimals and percents]]<br>
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[[http://www.superteacherworksheets.com/percents/basic-percentages1.pdf Percentage]]
 
   
 
   
[[http://www.superteacherworksheets.com/percents/converting-fractions-decimals-percents_EASIE.pdf]]
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'''''Pre-requisites/Instructions Method'''''
 
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[[http://www.superteacherworksheets.com/percents/basic-percentages1.pdf]]
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'''''Pre-requisites/'''''
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Instructions Method
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Please print copies of the above given activity sheets and discuss the various percentage quantities with various shapes.  
Please print
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copies of the 2 activity sheets
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[[http://www.superteacherworksheets.com/percents/converting-fractions-decimals-percents_EASIE.pdf]] and
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[[http://www.superteacherworksheets.com/percents/basic-percentages1.pdf]] and discuss the various percentage quantities with
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the various shapes.
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Then print a copy each of [[spider-percentages.pdf]] and make the children do this activity
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Then print a copy
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each of [[spider-percentages.pdf]]
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and make the children do this activity
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'''''Evaluation'''''
 
'''''Evaluation'''''
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# What value is the denominator when we represent percentage as fraction ?
 
# What value is the denominator when we represent percentage as fraction ?
 
# What does the numerator represent ?
 
# What does the numerator represent ?
 
# What does the whole fraction represent ?
 
# What does the whole fraction represent ?
 
# What other way can we represent a fraction whose denominator is 100.
 
# What other way can we represent a fraction whose denominator is 100.
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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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Thread
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of a certain length.
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Understand fraction representation and rational and irrational numbers <br>
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'''''Materials and resources required'''''
 
   
 
   
'''''Pre-requisites/'''''
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Thread of a certain length.
Instructions Method
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Construct
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'''''Pre-requisites/Instructions Method'''''
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 ==
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'''''Evaluation'''''
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# 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.
 
# What is the difference between a rational and irrational number, give an example ?
 
# What is the difference between a rational and irrational number, give an example ?
 
# What is Pi ? Why is it a special number ?
 
# What is Pi ? Why is it a special number ?
 
   
 
   
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== Self-Evaluation ==
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== Worksheets ==
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# fraction addition worksheet [http://karnatakaeducation.org.in/KOER/en/images/1/11/Fractionaddition.odt Fraction simple addition]
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# fraction addition worksheet  Fraction simple addition]
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# Fraction multiplication worksheet [http://karnatakaeducation.org.in/KOER/en/images/8/83/Multiplication.odt multiplication]
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# Fraction Division worksheet [http://karnatakaeducation.org.in/KOER/en/images/c/ca/Division.odt Division]
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# Fraction Subtraction worksheet[http://karnatakaeducation.org.in/KOER/en/images/1/1d/Subtraction.odt Subtraction]
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== Evaluation ==
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== Self-Evaluation ==
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== Further Exploration ==
 
== Further Exploration ==
 
   
 
   
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= Teachers Corner =
 
= Teachers Corner =
   
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GOVT  HIGH SCHOOL, DOMLUR<br><br>
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Our  8th std students  are learning about fraction using projector . <br>
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[[File:1.jpg|400px]]<br>
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Students are actively participating in the activity.<br>
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They are learning about  meaning of the fractions, equivalent fractions and addition of fractions using paper cuttings.<br>
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[[File:2..jpg|400px]][[File:3.jpg|400px]][[File:4.jpg|400px]] <br><br>
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A student is showing 1/4=? 1/6+1/12<br>
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[[File:5.jpg|400px]]<br>
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[[File:6..jpg|400px]]<br>
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Showing 1/3=1/4+1/12<br>
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They started to solve the problems easily <br>
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[[File:7.jpg|400px]]<br>[[File:8.jpg|400px]]
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= Books =
 
= Books =
 
   
 
   
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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]]