1. Problem Solving: Consecutive Integers
Chapter 1
Section 1.8

2. Objective
Students will write equations to represent relationships among integers

3. Concept
When you want to be served at a bakery, a deli, or a pizza parlor you often must take a number. The numbers help the clerks keep track of who is next in line. When you count by ones from any number in the set of integers, you obtain consecutive integers. Example: -2, -1, 0, 1, 2 are five consecutive integers

4. Concept
When dealing with consecutive integers variables may be used. Even if variables are used, you still count by ones to write consecutive integers.

5. Example An integer is represented by n
Write the next three integers after n
Write the integer than immediately precedes n
Write an equation that states that the sum of four consecutive integers, starting with n, is 66

6. Concept
An integer that is the product of 2 and any other integer is an even integer. … , -6, -4, -2, 0, 2, 4, 6, … An odd integer is an integer that is not even. … , -5, -3, -1, 1, 3, 5, …

7. Concept
If you count by twos beginning with any even integer, you obtain consecutive even integers. Example: 8; or 10; or 12 8, 10, 12

8. Concept
If you count by twos beginning with an odd integer, you obtain consecutive odd integers. Example: 9; or 11; or 13 9, 11, 13

9. Concept
Even or odd consecutive integers in order from least to greatest: n, n + 2, n + 4 An even or odd number is determined by what you start with

10. Example
Write an equation to represent the given relationship among integers
The sum of two consecutive integers is 93
The sum of three consecutive integers is 192

11. Example The product of two consecutive even integers is 120
The largest of three consecutive even integers is three times the smallest

12. Example
5. Twice the smaller of two consecutive odd integers is seven more than the larger

13. Questions

14. Assignment
Worksheet