CONCEPT OF Geometrical structures

FOR middle school LEVEL

My student from VIII(ramesh prasad badoni)

Objectives

1. To imagine a structure or shape of an object.

2. to start the drawing of the imagined object.

3. to draw the various possible shapes of the objects in their surroundings.

4. to apply these shapes to understand the dimensions

5. to get an idea of formation of line, area and volume of the structure formed.

imagination of a structure

regular shapes irregular shapes

cloudcloud

leaf

leaf

stone

regular shapes irregular shapes

circle

trapiz

cuboid

cylind octagonal

rectangle

trianglecone

Thought process

Formation of a structure by combination of number of dot at a surface

What is a dot or a point

dots combinations at a surface

It is an imaginary mark where from a unit formation takes place

Role of a dot

joining of dots means formation of --- Line

line

formation of axesX

X

X

X’

X’

Y

Y

Z

XX’

Y

Y’

Dimensions

One dimensions or 1-D

Two dimensions or 2-D

Three dimensions or 3-D

Line

Area

Volume

What is a volume

When an area revolves or moves about a line or surface means volume is formed

area

area

volume

Now what is a line

line is the fundamental unit-cell to form a structure/shape.

that means when a line moves about a dot it develops a geometrical shape-----

AREA

rectangle

circle

AREA

LINE

Formation of various structures

Triangle

cuboids

cube

II-gram

cylinder

formation of regular shapes from irregular shapes

Area

AREA

AREA

formation of two and three dimensional figures-

EXAMPLES

Applications

world of geometrical shapes

some more interactions

capsules

filling of cylinder