Algebra Sample

Binomial Multiplication using Algebra Lab Gear

(x + 3)(y + x + 1)

Algebra Lab Gear provides a means to illustrate how abstract symbol manipulation connects with the area representation of multiplication.

Extensions

Lab Gear for performing division.

An area representation of (4x^2 + 2x)/(2x) helps illustrate why the quotient is 2x + 1 and not 4x^2 or 4x^2 + 1 -- common errors from students who use "cancelling" rules incorrectly.

Lab Gear for completing the square.

Completing the square for x^2 + 4x + 2 using Lab Gear provides a concrete basis an otherwise abstract procedure.