## Consecutive Integer Problems

#### Aligned To Common Core Standard:

**Grade 7 Expression & Equations** - 7.EE.B.4a

What Are Consecutive Integers?
We are all familiar with integers. The numbers we usually use like 0, 1,2 3, and 4, and the likes of these are all integers. Unlike whole numbers, integers include the negative numbers too. We would represent integers like: -4, -3, -2, -1, 0, 1, 2, 3, 4...
However, not all kinds of numbers are termed as integers. Decimals and fractions are not considered as integers.
Integers have another type, known as consecutive integers. Consecutive integers are integers that follow each other in an orderly manner. For example, if your teacher counts the numbers from 0 to 10, like,
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Counting or number that are represented in this orderly manner are consecutive integers. In this case, numbers from 0 to 10 are the consecutive integers.
**NEGATIVE CONSECUTIVE INTEGERS** -
It is important to remember that integers also include negative numbers. All the negative integers that follow each other are known as negative consecutive numbers.
For example, numbers from -4 to 4
-4, -3, -2, -1, 0, 1, 2, 3, 4
**EVEN AND ODD CONSECUTIVE INTEGERS** - Even consecutive integers are those that follow each other in an even order. The simplest example of this 2, 4, 6, 8, 10
Odd consecutive integers are those integers that follow an odd pattern. The simplest example would be 1,3 5, 7,9
This selection of worksheets and lessons help students learn how to identify and compute values that include consecutive integers.

### Printable Worksheets And Lessons

- Forming Equations Step-by-Step Lesson- This will require some knowledge of vocabulary to nail this one down.
- Guided Lesson - I switch between writing numbers in words and writing digits to mimic tests.
- Guided Lesson Explanation - There are about 4 steps to solving each problem.
- Practice Worksheet - If you are looking for a rainy day worksheet to keep on hand, this is the one.
- Matching Worksheet - Match the integers to the problems that describe them.
- Word Problems with Consecutive Integers 5 Pack - Fifty problems to really get a hold of the concept and drive it home.

#### Homework Sheets

Some students try to work on these without understanding the basic needed vocabulary. Make sure you have it all down.

- Homework 1 - Let x be the first of these three consecutive even integers. Then the second is x+2, while the third one is x+4.
- Homework 2 - Let x+1 be the first of these three consecutive even integers. Then the second is x+3, while the third one is x+5.
- Homework 3 - Since, the sum of these three consecutive even integers x+1, x+3, x+5 is equal to 21, we can write the equation.

#### Practice Worksheets

We start to introduce the terms for operations such as sum, difference, and product.

- Practice 1 - Two consecutive odd integers have a sum of 152. What are the two odd integers?
- Practice 2 - Since, the sum of these three consecutive even integers x, x+2, x+4 is equal to 96, we can write the equation.
- Practice 3 - The sum of two consecutive integers is 47. What are the two integers?

#### Math Skill Quizzes

I tried to get the wording into just a sentence. Sometimes, I just couldn't fit it.