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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
6th-8th Foundation

Construction / Practical Geometry (basics)

Welcome to the only place where practical geometry is explained in an ingenious and simplified form.

The geometrical instruments are introduced as four fundamental elements of practical geometry

 •  collinear points (straight-line using a ruler)

 •  equidistant points (arch using a compass)

 •  equiangular points (angle using a protractor)

 •  parallel points (parallel using set-squares)

Based on the four fundamental elements, the topics in practical geometry are explained.
(click for the list of lessons in this topic)

4 Fundamentals Elements of Practical Geometry

Welcome to the ingenious lessons that redefine how students learn. The geometrical instruments are introduced as four fundamental elements of practical geometry

 •  collinear points (straight-line using a ruler)

 •  equidistant points (arch using a compass)

 •  equiangular points (angle using a protractor)

 •  parallel points (parallel using set-squares)

These four fundamental elements are explained in the following lessons.

(click for the list of pages in the lesson)

Basic Shapes: Lines, Circles, Angles

The topics in this cover the simple-thought-process to constructing the following

 •  line segment

 •  circle

 •  copying a line-segment

 •  copying an angle

(click for the list of pages in the lesson)

Secondary Elements of Practical Geometry

The topics in this cover a simple-thought-process to constructing the following

 •  perpendicular bisector

 •  perpendicular line on a point

 •  perpendicular line to a point

 •  bisector of an angle

The reasoning on how each of the procedures work is provided in a simple thought-process, which makes it easy for students to retain knowledge and work out the procedure.

(click for the list of pages in the lesson)

Standard angles Using Campus

A simple-thought-process to constructing standard angles (`60^@`, `30^@`, `15^@`, `120^@`, `90^@`) using a compass are provided.

The reasoning on how each of the procedures work is provided, which makes it easy for students to retain knowledge and work out the procedure.

(click for the list of pages in the lesson)

Construction of Triangles (Fundamental Shape of Polygons)

This provides a simple thought process to construction of triangles using given 3 parameters.

 •  side-side-side

 •  side-angle-side

 •  angle-side-angle

 •  rightangle-hypotenuse-side

 •  side-angle-latitude

This also analyses why the following do not work

 •  angle-angle-angle (only 2 parameters)

 •  side-side-angle (two possible triangles)

 •  side-side-altitude (two possible triangles)

(click for the list of pages in the lesson)

Construction of Quadrilaterals

This provides a simple thought process to construction of quadrilaterals of various forms.

 •  Irregular Quadrilateral

 •  Parallelogram

 •  Rhombus

 •  Rectangle

 •  Square

 •  Trapezium

 •  Kite

This ingenious lesson provides a method to approach the contruction : Consider these as combination of two triangles of forms (sss, sas, asa, rhs, sal) and use the methods studies earlier.

(click for the list of pages in the lesson)