# Creating and Breaking Down Math Patterns Worksheets

This is a section where we begin to let students get a little creative with math. They can either create or break apart a sequence or pattern of numbers found within a fixed data set. This can be helpful for many different reasons, but primarily we like to encourage students to always think more critically and by the simple nature of these problems, that is done for you. These worksheets and lessons teach students how to recognize patterns in math sequences.

### Aligned Standard: 5.OA.B.3

- Creating Patterns Step By Step Lesson- There is plenty of room provided for students to work on this on their own.
- Determining Pattern Rules Lesson - You are basically matching patterns here.
- Identifying Pattern Attributes Lesson - We offer up a some what predictable table to get you headed in the right direction.
- Identifying Pattern Attributes - A chart is provided for the first two problems to help students become comfortable with it.
- Creating Patterns Homework 1 - Everything should flow off of that example that is provided.

- Answer Keys - These are for all the unlocked materials above.

### Determining Pattern Rules Sheets

You are given straight series of five digit patterns. You need to decipher the pattern.

- Sheet 1 - Circle the choice that uses the same pattern as the one shown in bold.
- Sheet 2 - Which choice uses the same addition rule as the shared pattern?
- Sheet 3 - These rules focus on a mix of addition and subtraction.

### Creating Patterns Homework

These are basically word problems that you need to breakdown and place.

- HW 2 - Start at 32 and make a pattern using the add 9 rule. What is the 4th number in the pattern?
- HW 3 - Start at 79 and make a pattern using the rule subtract 9. What is the 4th number in the pattern?

### Identifying Pattern Attributes

See if you can sniff out what is going on with these integers.

- Sheet 2 - The patterns above are synchronized. If the number in pattern A is 25, what would be the number in pattern B?
- Sheet 3 - In a pattern the first number is 54. The second number is 58. The third number is 62. The fourth number is 66. Will the 9th number be odd or even?
- Sheet 4 - In a pattern the first number is 33. The second number is 38. The third number is 43. The fourth number is 48. What will be the 7th number?

### How to Create Math Patterns

They say doing the same thing over and over will get you the results you want. Is there anything you want to get expertise in? Be consistent is a great approach towards mastery of just about anything. If you are reading this guide, and there is something that you really need to learn and get better at, one of the best ways is to create a pattern of doing it. Similar to your normal life, mathematics also requires creating patterns in order to get a grip on a particular concept. This is called creating patterns.

A pattern is a series or sequence that repeats itself again and again. Let's find out how you can create patterns in mathematics. Follow a particular number, color, shape, and action and form a series out of it. Take a look at the last or first digits of the numbers and see if they repeat a special pattern. Set up a way in a series or sequence to create a precise pattern. Find out what's common between the numbers, actions, shapes, and colors. This will help you create a pattern easily and within less time. Look at the numbers and see if a pattern is being created or not.

There are traditionally four types of different approaches to creating number sequences at this level. The first and most obvious is an arithmetic sequence. This is where a number is being changed through the use of an operator such as addition or subtraction. This type of sequences remains stable and constant meaning the more data that you have available to you that reflects the sequence makes it easier to understand or solve. Geometric sequences are similar, but they focus on having a consistent multiplier. This would normally indicate that sequences increase but remember that things can be multiplied by fractional values as well. There are also patterns that get amplified very quickly which indicates that some form of exponent is at work. Square and cube patterns are fairly commonly used. There are also more complex triangular number patterns that can be difficult to identify at this level. When they get into complex math course in high school or college, they may learn about the Fibonacci sequence where the next number in the sequence is the sum of the previous two. This is used heavily to create modern algorithms and determine trends in data.