Difference between revisions of "Activities/Abacus/Worksheet"

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== Fractions ==
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== Abacus/Worksheet ==
===The Fraction abacus===
 
Start Abacus [[File:Abacus-icon.png]],
 
  
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Read at https://help.sugarlabs.org/abacus_worksheet.html
  
select the Fraction abacus.
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The source file has been moved to [https://github.com/godiard/help-activity/blob/master/source/abacus_worksheet.rst GitHub]
 
 
[[File:Functionabacus.jpg]]
 
 
 
 
 
Slide one of the 1/2 beads to represent 1/2
 
 
 
[[File:Abacus1of2.jpg]]
 
 
 
 
 
Another way to represent 1/2 is to slide half of another string of fraction beads, for example slide 2 of the 1/4 beads. That is (2 x 1)/4 = 2/4 = 1/2
 
 
 
[[File:Abacus2of4.jpg]]
 
 
 
 
 
How many ways can you make 1/2, remember you can use 2 strings eg. 1/3 + 1/6 = 1/2
 
 
 
[[File:Abacus3p6.jpg]]
 
 
 
 
 
If using just one string, only some of the strings of beads can be used to make 1/2. Which ones? Why?
 
 
 
 
 
Show that the solutions which use more than one string are correct, use the Lowest Common Denominator ([http://en.wikipedia.org/wiki/Lowest_common_denominator LCD]) method, for example for the case of 1/3 +1/6 = 1/2
 
1/3 + 1/6 =
 
2/6 + 1/6 =
 
(2+1)/6 =
 
3/6 =
 
1/2
 
 
 
How do you know if you have found all the solutions?
 
 
 
 
 
Find all the ways to make 1/3 and 2/3
 
 
 
===Other representations of fraction addition===
 
Draw your solutions as pie charts, you can use Paint, TurtleArt, Socialcalc or Gnumeric in Gnome.
 
 
 
[[File:1on2piedraw.jpg]]  [[File:Fractionpieturtle.jpg]]  [[File:Fractionpiesocialcalc.jpg]]
 
 
 
===The Caacupé abacus===
 
Load the Caacupé abacus [[File:Abacuscaacupe.jpg]]
 
 
 
It can represent negative whole numbers and fractions. 1/2 can be represented as 10 - 9 - 2/3 + 1/6
 
 
 
[[File:Abacus10931.jpg]]
 
 
 
 
 
How many different ways can you represent 1/2 , 1/3, 2/3
 
 
 
How do you know when you have found them all?
 
 
 
 
 
Similar to the Pie chart, can you think of a way to visually represent the addition of positive and negative fractions?
 
 
 
 
 
see the [[Activities/Abacus/Worksheet/Answersheet | answersheet]]
 

Latest revision as of 22:48, 14 June 2018

Abacus/Worksheet

Read at https://help.sugarlabs.org/abacus_worksheet.html

The source file has been moved to GitHub