Lesson Plan #: AELP-ATH0201
Submitted by: Martin Gerard Navarro
Email: mnavarro@iAteneo.com
School/University/Affiliation: Ateneo de Manila University High School & Miriam High School, Manila, Philippines Date: August 28, 2000

Grade Level: 6, 7

Subject(s):

• Mathematics/Arithmetic

Duration: 50 minutes Description: This lesson makes use of an analogy which the author has called, The Love-Hate Analogy. Students can use this strategy when they are multiplying and dividing positive and negative numbers (integers).

Goals: This lesson focuses on two basic operations on integers. The goal is for students to enhance their understanding of multiplication and division, using counting numbers and their negative counterparts.

Objectives: Students will be able to use The Love-Hate Analogy to explain their answers to multiplication and division problems (with integers).

Materials: None specified.

Procedure:
1. Start off by asking the following:
    a. Is love a positive or a negative thing?
    b. Is hate a positive or a negative thing?

This assumes that based on the students’ experience of love and hate, they will be able to identify that love is a positive thing and that hate is a negative thing. [ LOVE = positive (+) and HATE = negative (-) ]

2. Proceed to ask the following questions:
    a. If you love to love, simply put, do you love or do you hate?
    b. If you hate to hate, simply put, do you love or do you hate?
    c. If you love to hate, simply put, do you love or do you hate?
    d. If you hate to love, simply put, do you love or do you hate?

The students should be able to identify that:
    a. If you love to love, you LOVE (a + and a +  =  + )
    b. If you hate to hate, you LOVE (a – and a –  =  + )
    c. If you love to hate, you HATE (a + and a –  =  – )
    d. If you hate to love, you HATE (a – and a +  =  – )

3. Make the connection that similar to the analogy:
    a. positive x positive = positive,
    b. negative x negative = positive,
    c. positive x negative = negative,
    d. negative x positive = negative.

Similarly:
    a. positive / positive = positive,
    b. negative / negative = positive,
    c. positive / negative = negative,
    d. negative / positive = negative.

Assessment: Provide students with multiplication/division problems (on the board or use a worksheet). When students have completed the problems, ask students to explain their answers by talking through the analogy.

Useful Internet Resource:
* Operations on Integers
This site provides an overview of operations on integers (addition, subtraction, multiplication, & division). Each section has an online quiz which can be used to check students’ understanding of each concept.
http://www.mathguide.com/lessons/Integers.html