Lesson objective: Connect what we know about opposites to determine the opposite of the opposite of a number.

This lesson provides an opportunity for students to apply their knowledge and understanding of integer opposites to a mathematical situation. Students are asked to reason with Susan's statement about opposites of opposites and create an example of when her statement is true and when her statement is false.

Key Concept students will use:

- There are three possible relationships between any two numbers, a and b (namely, a < b, a > b, or a = b) for the set of integers.

Skills students will use:

- Distance and direction on numbers lines
- Opposties of integers

Students engage in Mathematical Practice 7 (Look For and Make Use of Structure) as they reason with the idea of the opposite of the opposite of an integer.

**Key vocabulary: **

- integer
- opposite