MS Khilora Government School has 107 students in classes VI to VIII and a somewhat equal gender distribution. Baring a few, students mostly come from the neighbouring farmer community.

# LCM

Counting is one of the first skills that a student of mathematics learns. Here we feature an article that observes patterns while counting and generalises this pattern. While the actual combinatorics and use of the binomial theorem may be appreciated only by students of classes 11 and 12, students of High School will certainly be able to follow the reasoning in the two examples given. It is important for students to have such gentle introductions to mathematical notation and theorems used at a more senior level.

- Read more about Finding the Number of Ordered Tuples Having a Given LCM
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With the LCM and GCD of natural numbers well- defined and an integral part of the middle school curriculum, one may wonder why this article embarks on a rather theoretical study of the LCM and GCD of rational numbers. But this article depicts exactly what a mathematician does – take a well-known concept and extend it to larger sets, testing the extended definition with backward compatibility with the original set. For the more able middle-schooler, this is an excellent opportunity to flex the muscles of conceptual understanding and constructive reasoning.

- Read more about Extending the Definitions of GCD and LCM to Fractions
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This article explains the concept of LCM visually, and also helps students appreciate why LCM needs to be used when solving certain type of problems and puzzles.

- Read more about LCM Visualization And Fractions
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A. Ramachandran shares his reflections on the trials, travails & triumphs in middle school mathematics teaching.

- Read more about Middle School Mathematics some reflections
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- Read more about Activities and Questions Around Factorisation
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Here are some problems for the Middle School, edited by R. Athmaraman. The solutions to problems posed will appear in the next issue of AtRiA's problem corner. Also find the solutions to the problems given in AtRiA March 2013 Issue-II-1

- Read more about AtRiA: Problems for the Middle School - July 2013
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The problems in this selection are all woven around the theme of GCD (greatest common divisor, also known as, highest common factor) and LCM (least common multiple). The solutions to problems posed will appear in the next issue of AtRiA's problem corner

- Read more about AtRiA Problems for the Middle School - March 2013
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This article discusses a simple but basic guiding principle which goes under the name 'principle of inclusion and exclusion', or PIE for short. The principle is very useful indeed, because counting precisely, contrary to intuition, can be very challenging!

- Read more about AtRiA Set Theory Revisited- As easy as PIE
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Here is one way of decomposing a number into its prime factors.

Other related links:

- Read more about Prime Factorisation
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