1. Adrienne Johnson<br />Grade Level: High School levels 9-12Subject: Mathematics/Algebra Duration: Approx. 60 Minutes Description: Used to factor an expression as well as a FOIL method substitute. Goals: Students will engage in factoring mathematic problems. Objectives: Students will factor trinomials with at least 90% accuracy and will use the “smiling man” to check the problem. Materials Needed: Pencil and Paper.<br />Procedure: <br />Write on the board and demonstrate as well as explaining problem out loud to students as you write it on the board. <br />FOIL: (x+2) (x+3) <br />The student draws an arched line from the top of one x to the top of the other x. [x multiplied by x equals x2 ] <br />Next, the student draws a U-shaped line from the bottom of the first x to the bottom of the 3. [x multiplied by 3 equals 3x] <br />Then the student draws a U-shaped line from the bottom of the 2 to the bottom of the second x. [2 multiplied by x equals 2x] <br />Lastly, the student draws an arched line from the top of the 2 to the top of the 3. [2 multiplied by 3 equals 6] <br />Explain to students that if done correctly you will 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: x2 +5x +6. <br />Give students the following trinomial and have them factor it, checking their results using the quot;
smiling manquot;
: x2 -5x +6.<br />Assessment: Informally assess students during class work. Ask for volunteers to go to the board to demonstrate the quot;
smiling manquot;
technique.<br />