Repeating Patterns

Look at this arrangement of flowers:

Do you think it follows a certain **order?** 🤔

Yes, it does! 😃

An arrangement that follows a certain order is called a **pattern.**

In this lesson, let's explore patterns! 🤗

**Patterns **are all around us!

- A chessboard follows a pattern of black-and-white boxes.
- Many clothes have patterned designs printed on them.

There are different kinds of patterns.

Let's learn about one kind: **repeating **patterns.

**Patterns** that repeat themselves over and over again according to a certain rule are called **repeating patterns.**

👉 Some examples of **repeating patterns **are:

___

___

A repeating pattern has **2 main parts **- the terms and the core.

The objects or elements that form a pattern are called its **terms**.

For example: in the pattern above 👆, the terms are **orange stars **and **green circles.**

The part of a repeating pattern, that stays the same and repeats itself, is called its **core.**

In our example above, the core is made up of 2 stars followed by 3 green circles:

Let's look at an example pattern:

**# ****$ $ ****# # ****$ $ ****# # ****$ $ ****# # ****$ $ ****#**

How can you find the **core **of this pattern? 🤔

Very good! 😃

To find the **core **of a **repeating pattern**, look for the smallest set of terms that repeat themselves.

Is this part the core? 👇

**#**** ****$**

**No...**

Is it this part?? 🤔

**#**** ****$ $**

**No...**

How about this part? 🤓

#$ $#

**Yes**! These are the terms that repeat, over and over, in the same order.

So, this is the **core **of the pattern. 🤗

Great work! 👏

Sometimes, we may need to find **unknown terms **in a pattern.

Can you find the **next two terms **of this pattern?

To find **unknown terms in a pattern**, first find the pattern's **core,** and then use the core to find the unknown terms.

Let's try it! 🤗

✅ First, let's **find the core **of this pattern.

Can you see it? 🤓

Very good!

This is the core of this pattern:

✅ Now, let's **use it to find the next two terms **of this pattern.

Nice job! 😎

Let's look at one more example.

👉 Find the10th termof this pattern:

Do you remember what we do first? 😃

✅ First, we **find the core **of the pattern.

Can you see what it is? 🤔

You got it! 🤗

This is the core of this pattern:

✅ Now, let's use the core to **find the 10th term.**

Awesome! 👍

Now you know a lot about repeating patterns! Start your practice below.

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