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Thought-Process to Discover Knowledge
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)
Basic Algebraic Identities
Identities are statements equating two expressions. In this, standard algebraic identities are introduced and explained in a simple-thought-process.