Write several examples of polynomials on the board. Review the definition of a polynomial and identify types of polynomials, such as binomials and trinomials.
Draw an addition sign between two of the polynomials with the same number of terms. Place the coordinating number of magnetic dots as the coefficient of each term underneath each term. Use a different color for each variable. For example, in the problem (3x^2+4x+1) + (2x^2-3x+5), place three red dots under 3x^2 and two red dots under 2x^2, but use four blue dots under 4x and three blue dots under -3x.
Illustrate the distributive property needed to simplify the expression by combining like colors in addition operations and removing colors in subtraction steps. For example, in the problem (3x^2+4x+1) + (2x^2-3x+5), move the five red dots that represent x^2 together, but remove three blue dots from the 4x and all three blue dots under -3x to illustrate that only 1x remains after distribution.
Rewrite the simplified expression, aligning each term over the corresponding color.
Provide the step-by-step process in a page of notes that students can refer to when completing homework assignments or independent seat work.
Repeat the colored magnetic dot demonstrations when introducing subtraction, multiplication and division operations with multiple polynomials. Encourage students to use a similar method at their desks and at home when completing independent work.