`A "New Set of Numbers" (An Introduction of Integers)Barbara Barlow                 Caldwell School                               8546 S. Cregier                               Chicago IL 60617                               312-535-6666Objective:    Students of the sixth grade will be able to add and subtract positive and negative integers.  Incidentally, negative numbers were invented by the Chinese.  Materials Needed:    Group of fifteen students    Numbers with positive signs (written on construction paper)     Numbers with negative signs (written on construction paper)    A large zero (written on construction paper)        Two paper bags (one labeled positive and one labeled negative) with directions inside which tell the students what to do on the number line.  Some examples are:      Take 3 negative steps         Add negative 3     Take 5 positive steps         Subtract positive 4Strategies:    Review of number line on chalkboard:     Number line will be made, using students as the numbers.  Students to the right of the zero will be called positive integers and all students to the left of the zero will be called negative integers.  The distance from the zero to the next point (going in either direction) will be called the "unit distance."  Each student will tell how many units they are from zero.  The students will now receive their signed numbers written on construction paper.     The "additive inverse" concept will now be introduced and explained.  The students will then find their additive inverse.     Students will move a given number of units (to the left or to the right) to represent the process of adding and subtracting integers.  They will then name their new value.     Students will now pull directions from a bag and each take turns moving in the given direction; Ex: Take 2 positive steps.     Students will be given a sheet of problems to practice adding and subtracting integers.     Performance Assessment:    Students will solve a puzzle by adding and subtracting integers.Conclusion:    After presenting this lesson, students will have a greater understanding of integers and the concept of positive and negative numbers.  They will also know how to add and subtract integers. `