## Pre-Algebraic Number Sequences and Patterns

#### Aligned To Common Core Standard:

**Grade 4 Operations** - 4.OA.C.5

How to Spot Missing Parts of a Math Sequence?
Patterns and sequence are interchangeably used in our daily lives. However, there is a major difference between these two concepts. A pattern is the placement of numbers that it follows a recurring design. The order does not matter when we talk about a pattern. A sequence, on the other hand, is the placement of numbers of elements that follow a specific pattern but also follow an order.
Students have to learn to work with mathematical sequences. Students have to learn to find the missing terms. You need to follow these simple steps to find the missing parts of a math sequence.
**Step 1: Identify the Order** - The first step is to identify the order of the sequence. If you look at the numbers, you will see either an ascending order to descending order. You have to judge which order the sequence is following.
**Step 2: Analyze Two Consecutive Terms** - Every sequence will have two consecutive terms which will help you find the missing numbers in a sequence. You have to find out the arithmetic operation that links the two numbers. If they are in ascending order, it might be a simple case of addition or multiplication. If it is in descending order, it might be a case of subtraction or division.
**Step 3: Trial and Error** - The next step is to apply the two possible arithmetic operations on the numbers. In ascending order, you will have to apply addition or multiplication. In descending order, you will have to apply subtraction or division. Finding the number that connects the sequence is purely a trial-and-error method.
These worksheets and lessons help students learn to identify and complete sequences and patterns.

### Printable Worksheets And Lessons

- Understanding Number Sequence Rules Step-By-Step Lesson- We start you off with easy to follow patterns and sequences.
- Guided Lesson - We ask you to create your own 2 patterns and compare them.
- Guided Lesson Explanation - We just couldn't get this one down to a single page without making it confusing for kids.
- Independent Practice - For the first 5, fill in the missing patterns. For the last 5, create your own pattern.
- Practice Worksheet 2 - More practice for you. Answers are below for members.

#### Homework Sheets

We not only ask you to generate patterns, but we also ask you explain what you have created.

- Homework 1 - Generate two numerical sequences using the rules "Add 2" and "Add 4". Start at zero.
- Homework 2 - Compare: What is the relationship? Why?

#### Practice Worksheets

If you need extra time to work on this, here it is.

- Practice 3 - Fill in the numbers that are missing in each numerical sequence. Identify the rule that was followed to create the sequence
- Practice 4 - Use the starting number and the rule to create each numerical sequence.
- Practice 5 - The rule for this numerical sequence is....