1. 2.7 Problem Solving: Consecutive Integers Objective: To write equations to represent relationships among integers. Warm – up: Evaluate each expression if n = 7. 1) n + 12) n + 2 3) 2n4) 2n + 1 5) 2n – 1 6) n + (n + 1) + (n + 2) 7) n + (n + 2) + (n + 4)

2. 2.7 Problem Solving: Consecutive Integers Explanation o What does the word “consecutive” mean? o When you go to the deli at the grocery store, what do you do? o When you count by ones from any number in the set of integers, you obtain consecutive integers. o {4, 5, 6, 7, 8, 9, 10} o {-2, -1, 0, 1} Write the next four integers in natural order after… o 15 o -6 o 102 onon odod

3. 2.7 Problem Solving: Consecutive Integers Examples: o If w = 3, what are the values of w + 1, w + 2, w + 3? o If x = 15, represent 14 and 16 in terms of x. o If y = 12, represent 8, 10, 14 and 16 in terms of y. o If m is and odd number, is m + 1 even or odd? m + 2? o If m is even and n is odd, is m + n even or odd? mn? Write the equation to represent the given relationship. o The sum of three consecutive integers is 68. o The sum of four consecutive integers is -25. o The sum of two consecutive even integers is 80. o The sum if three consecutive odd integers is -175.

4. 2.7 Problem Solving: Consecutive Integers Homework: – Pg. 77 Written Exercises #1 – 11 odd