Lesson Plan #: AELP-ALG0003 ** Submitted by:** Jeff Barrett

** Email:** barrettjeff51@hotmail.com

** School/University/Affiliation:** Lakeview Jr.-Sr. High School ** Date:** May 31, 1999

** Grade Level(s):** 6, 7, 8, 9, 10, 11, 12, Adult/Continuing Education

** Subject(s):**

- Mathematics/Algebra

** Duration:** 1 class session ** Description:** I cannot take credit for the smiling man. It was presented to me in a pre-algebra class many years ago. It is used in factoring an expression as well as a FOIL method substitute.

** Goals:** Students will engage in factoring problems.

** Objectives:** The students will factor trinomials with 90% accuracy and use the smiling man to check if the factoring is done correctly.

** Materials:**

- pencils and paper

** Procedure:** Usually given by board examples and teacher lead discussions.

FOIL: (x+2) (x+3)

^{2}]

If done correctly you see two arched lines forming something like eyebrows. The outer facing ( ) form loosely the ears, and the lines facing up in a U-shaped pattern where the two numbers are added form the nose and mouth. Students should get the following result when combining terms: x^{2} +5x +6.

Give students the following trinomial and have them factor it, checking their results using the smiling man: x^{2} -5x +6

** Assessment:** Informally assess students during class work. Ask for volunteers to go to the board to demonstrate the smiling man technique.

**Special Comments:** I have used this extensively with at-risk students in prep. for their GED and found it to be quite a good memory trick.