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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.
9th-10th Foundation

Mensuration : Length, Area, and Volume

Welcome to the lessons that give firm foundation in measuring perimeter, area, and volume.

To measure a length, area, or volume one of the following methods is used.

•  Measurement by Superimposition, Calculation and Equivalence

•  Equivalence by infinitesimal pieces, and Cavalieri's Principle

Once the above is understood, the formula for perimeter, area, and volume of 2D and 3D shapes are provided.

Start learning the exceptional discourse that derive the formulas of mensuration.
(click for the list of lessons in this topic)

Measurement Methods

Welcome to the lessons that provide firm foundation' in mensuration topics : perimeter, area, and volume. To measure a length, area, or volume one of the following methods is used.

•  Measurement by Superimposition

•  Measurement by Calculation

•  Measurement by Equivalence

Three methods are used to find equivalence.

•  Equivalence by infinitesimal pieces

•  Equivalence by Cavalieri's Principle (2D)

•  Equivalence by Cavalieri's Principle (3D)

(click for the list of pages in the lesson)

Mensuration: 2D Shapes

The topics provide a simple overview of formulas for perimeter and area of

•  polygon

•  square and rectangle

•  triangle

•  circle

The derivation of these formulas are outlined for students to better understand and retain.

(click for the list of pages in the lesson)

Mensuration: 3D Shapes

The topics provide a simple overview of formulas for perimeter and area of

•  cube

•  cuboid

•  cylinder

•  prism

•  pyramid

•  cone

•  sphere

The derivation of these formulas are outlined for students to better understand and retain.

(click for the list of pages in the lesson)

Mensuration with combination of shapes and Solids

The topics provide a simple overview of formulas for part shapes listed below.

•  area of segments and sectors of circle

•  surface area and volume of frustum

The derivation of these formulas are outlined for students to better understand and retain.

(click for the list of pages in the lesson)