[4eso] Polynomials: operations, roots & factors

The set of the integer numbers Z, and the set of the polynomials with integer coefficients, Z[x] are  almost the same thing from an algebraic point of view. They have the same algebraic structure. In both sets you can factor their elements into the product of some simple elements (prime numbers and irreducible polynomials).

This post contains the materials to develop thriteen sessions (55 minutes each) working with polynomials.
Topics worked: algebraic expressions, numerical value, polynomials, algebraic operations, expand and simplify expressions, perfect squares, difference of two squares, Ruffini's rule, remainder theorem, polynomial roots and factors, plotting algebraic expressions, use of GeoGebra

session 1 (algebraic language): teacher guide, handouts, solutions
session 2 (numerical value + operations): teacher guide, handouts, solutions
session 3 (operations + draw algebraic expressions): teacher guide, handouts, solutions
GeoGebra: draw algebraic expressions
session 4 (drawing algebraic expressions): teacher guide, handouts, solutions
GeoGebra: deg 1 (explicit equation), deg 1 (implicit equation), deg 2(a), deg 2(b)
session 5 (Ruffini's rule): teacher guide, handouts, solutions
session 6 (the remainder theorem): teacher guide, handouts, solutions
session 7 (roots & factors): teacher guide, handouts, solutions
session 8 (roots & factors): teacher guide, handouts, solutions
GeoGebra: polynomial roots
session 9 (find the roots): teacher guide, handouts, solutions
session 10 (find the factors): teacher guide, handouts, solutions
session 11 (roots & factors): teacher guide, handouts, solutions
session 12 (algebraic fractions): teacher guide, handouts, solutions
session 13 (algebraic fractions): teacher guide, handouts, solutions