What is a Growing Pattern?

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Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A growing pattern is a sequence where each new step adds more elements or increases in size in a predictable way. Unlike repeating patterns, growing patterns always get bigger or increase systematically.

Simple Example

Quick Example

Imagine you are collecting cricket stickers. On Day 1, you have 2 stickers. On Day 2, you have 4 stickers. On Day 3, you have 6 stickers. This is a growing pattern because you are adding 2 stickers each day.

Worked Example

Step-by-Step

Let's look at a pattern: 1, 3, 5, 7, ?

Step 1: Look at the first two numbers: 1 and 3. What is the difference? 3 - 1 = 2.
---Step 2: Look at the next two numbers: 3 and 5. What is the difference? 5 - 3 = 2.
---Step 3: Look at the next two numbers: 5 and 7. What is the difference? 7 - 5 = 2.
---Step 4: We see a consistent pattern: each number is 2 more than the previous one. So, to find the next number, we add 2 to the last number (7).
---Step 5: 7 + 2 = 9.

Answer: The next number in the pattern is 9.

Why It Matters

Understanding growing patterns helps us predict future outcomes and solve problems in daily life. This skill is crucial for careers like data analyst, stock market trader, or even for planning your savings, as you can predict how numbers will increase over time.

Common Mistakes

MISTAKE: Confusing a growing pattern with a repeating pattern. For example, seeing 1, 2, 1, 2 and thinking it's growing. | CORRECTION: A growing pattern always increases in size or number, while a repeating pattern shows the same sequence again and again.

MISTAKE: Not finding the 'rule' of the pattern. For example, just guessing the next number without checking the difference between all consecutive terms. | CORRECTION: Always find the consistent rule (e.g., add 2, multiply by 3, add increasing numbers) that connects all numbers in the given pattern.

MISTAKE: Only checking the first two numbers to find the rule and assuming it continues. | CORRECTION: Check the difference or relationship between at least three or four consecutive terms to ensure the rule is consistent throughout the pattern.

Practice Questions

Try It Yourself

QUESTION: What is the next number in the pattern: 5, 10, 15, 20, ? | ANSWER: 25

QUESTION: Find the next two numbers in the pattern: 2, 4, 8, 16, ?, ? | ANSWER: 32, 64

QUESTION: A plant grows 3 cm in the first week, 6 cm in the second week, and 9 cm in the third week. If this pattern continues, how much will it grow in the fourth week? | ANSWER: 12 cm

MCQ

Quick Quiz

Which of these is a growing pattern?

Red, Blue, Red, Blue

5, 5, 5, 5

1, 2, 3, 4

Apple, Orange, Apple, Orange

The Correct Answer Is:

Option C (1, 2, 3, 4) is a growing pattern because each number increases by 1. The other options are repeating patterns or constant patterns.

Real World Connection

In the Real World

Growing patterns are all around us! Think about how the number of active users on a popular app like WhatsApp or Instagram increases over time. Or how the total distance covered by a delivery rider for Swiggy or Zomato grows with each new order. These are real-life examples of things that follow a growing pattern.

Key Vocabulary

Key Terms

PATTERN: A sequence that repeats or grows in a predictable way. | SEQUENCE: A set of numbers or objects arranged in a specific order. | PREDICTABLE: Able to be known or declared in advance. | RULE: The consistent method used to get from one step of a pattern to the next.

What's Next

What to Learn Next

Great job understanding growing patterns! Next, you should explore 'Decreasing Patterns'. These are similar but involve numbers or elements getting smaller in a predictable way, which is another important type of pattern to master.