# Class 9-10

## A path to π

Consider the following situation. A regular polygon of n sides is placed symmetrically inside another regular polygon of n sides i.e. with corresponding sides parallel and with a constant distance between them. We now have a 'path of uniform width' running around the inner polygon. Now the following is asked: By how much does the perimeter of the outer polygon exceed that of the inner.

## Circles Inscribed in Segments

As I was going through Evan Chen’s Euclidean Geometry for Mathematical Olympiads, I came across in this remarkable problem.

## From Regular Pentagons to the Icosahedron via the Golden Ratio - Part 1

This series of articles will explore an amazing connection between three different objects in mathematics: the regular pentagon, the Golden Ratio and the icosahedron. Obviously, if the Golden Ratio is involved then the Fibonacci sequence can’t be far behind and, if the icosahedron is, so is its dual the dodecahedron!

## Evolving Perception of Teaching and Learning Materials

Materials can be important for helping children learn. The very young child learns in interaction with and acting on the objects around her. In the beginning, the senses, motor abilities and subsequent causal analysis develops through their observations of the things around and their behaviour in different circumstances. This interaction with materials is spontaneous and directed by the child. The manner of interaction is decided by her and often their explorations do not meet with the approval of the adults.

## Initiative Towards Quality Education

Education is a prime concern of society. Naturally both as individuals and as a society we always think about a better education for all round growth and development of the individual and, ultimately, society. Today the term quality education has gained pace and is a matter of concern and debate among educationists and even common people. In fact education itself is qualitative in nature and outcome. The matter of discussion or concern should be the process, the contents etc.

## How to Make a Simple Toy Motor Boat

This electric motor boat is easy to make and can be seen sailing in a bath tub or a small pond.

Materials Required:

two plastic bottle, two pencils (find used pen instead or bamboo stick of same size), hard cardboard (instead of popsicles), a small dc motor, propellor (you can make yourself with a plastic bottle), cello tape, soldering iron, glue (fevibond will work)

## The Benefits of Play On Academic Performance

Learning through play, particularly in a child’s earliest years of life, can improve

## Micromanagement in Teaching – A Closer Look at Lesson Planning

It doesn't make sense to hire smart people and then tell them what to do, We hire smart people so they can tell us what to do.  ~Steve Jobs

This adage doesn’t seem to be understood by many school managements in India. They hire good teachers, and then tie them up with so many instructions that the teachers lose their freedom, their unique style of teaching, and are eventually labelled as unsuccessful teachers. One of these instructions is about the planning of a lesson.

## Creative lesson plan on INSECTS & WORMS

Insects are everywhere in our life. Often we ignore them either because they are too small or too common. Through this series of activities we focus on children's observation skill and guide them to find out common insect's role & function in our surroundings. Children can understand all insects are neither harmful nor do they disturb us and many insects are helpful for us especially in organic farming / gardening.

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