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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

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

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

Algebra is *introduced in the exactly relevant form* -- anchors the algebra in the numerical arithmetics.

• numbers are symbols representing value of quantities. The same can be represented with letters or symbols called variables

• numerical expressions are expressions with numbers and arithmetic operations between them. Algebraic expressions are similar.

• numerical equations are statement of equality between two numerical expressions. Algebraic equations are similar. The above is used to explain polynomials and algebraic identities.

A *revolutionary and ingenious formal foundation* (at 9th grade level) is given in the topic "Foundation of Algebra in Numerical Arithmetics". This course is a simplified version of that designed for 6th to 8th grades. *(click for the list of lessons in this topic)*

Algebra: Variables and Expressions

Algebra is *introduced in the exactly relevant form* -- anchors the algebra in the numerical arithmetics. It covers the following

• numbers and variables

• numerical expressions and algebraic expressions

• numerical equations and algebraic equations.

This course is designed for 6th to 8th grades. Other advanced readers are directed to the *revolutionary and ingenious formal foundation* in the topic "Foundation of Algebra in Numerical Arithmetics".

Polynomials - Basics

Welcome to the simplified and refreshingly new explanation to what are polynomials. Algebraic expressions are expressions with constants, variables and arithmetic operations between them. *Polynomials are simplified form of algebraic expressions*. To understand how this simplified form is useful, please read the lesson.

The classification of polynomials based on the following are also discussed.

• number of variables (polynomial of n variables)

• number of terms (monomials, binomials, polynomials of n terms)

• power of variables (linear, quadratic, cubic, polynomials of nth power)

Polynomial Arithmetics

Like numbers or numerical expressions, polynomials can be added, subtracted, multiplied or divided. This page provides a *simple-though-process* to understand these.

The pages in this lesson are

__Addition and Subtraction of Polynomials__ *redo *

Basic Algebraic Identities

Identities are statements equating two expressions. In this, standard algebraic identities are introduced and explained in a simple-thought-process.