Growing patterns

Quick answer

A growing pattern is a sequence where each step increases by the same amount. You can find the rule by looking at how much the pattern grows each time.

Learning outcome

By the end of this page, you will be able to find the rule in a growing pattern and predict what comes next.

• You can spot a pattern that gets bigger each time
• You can say how much the pattern grows each step
• You can use the rule to guess what comes next
• You can make your own growing pattern

Why this matters

Understanding growing patterns helps you solve puzzles, play games, and even plan your day. When you see how things change step by step, you start to think like a mathematician. This skill helps with multiplication, division, and even coding later on. It’s like learning to read the story that numbers tell!

How it works

Let’s break down how growing patterns work:

1. Look at the pattern and see how it changes from one step to the next
2. Find how much is added each time
3. Use that rule to predict the next step
4. Try making your own pattern

Examples you can see

Let’s look at a simple growing pattern using blocks:

How much does the pattern grow each time? From 1 to 3, that’s +2. From 3 to 5, that’s +2. From 5 to 7, that’s +2. So the rule is: add 2 each time.

Now, what comes next? 7 + 2 = 9 blocks.

Try it as a mini adventure

Adventure: The Magic Pattern Garden

You are a gardener who plants flowers in a special garden. Each day, you plant a new row of flowers, and each row has more flowers than the last. You start with 2 flowers on Day 1, then 4 flowers on Day 2, then 6 flowers on Day 3.

1. Day 1: 2 flowers
2. Day 2: 4 flowers
3. Day 3: 6 flowers
4. Day 4: ? flowers

What is the rule? How many flowers will be on Day 4?

Answer: The pattern grows by +2 each day. So Day 4 will have 8 flowers.

Common mistakes

• Mistake: Thinking the pattern grows by 1 each time.
  Why it happens: Looking at the numbers quickly without checking the difference.
  Fix: Count how much is added each time. Try using blocks or drawing to help.
• Mistake: Not checking if the rule stays the same.
  Why it happens: Jumping to conclusions too quickly.
  Fix: Always double-check that the same amount is added each time.
• Mistake: Forgetting to write down the rule.
  Why it happens: Thinking it’s easy to remember.
  Fix: Write the rule down like “add 3 each time” so you don’t forget.

Parent and carer guide

Helping your child with growing patterns is fun and easy! Here’s what to do in just 5–10 minutes:

1. Ask your child to look at a pattern and tell you how it changes
2. Encourage them to count how much is added each time
3. Try drawing patterns together using shapes, stickers, or toys
4. Play a game: say a pattern like “2, 4, 6, ?” and let them guess the next number
5. Use everyday situations: “If you eat 2 cookies today and 4 tomorrow, how many will you eat on day 3?”

Don’t worry if they get it wrong. Mistakes help them learn!

Practice questions

1. Pattern: 3, 6, 9, ? What is the rule?
2. Pattern: 5, 10, 15, ? What is the rule?
3. Pattern: 1, 3, 5, ? What is the rule?
4. Pattern: 2, 5, 8, ? What is the rule?
5. Pattern: 4, 8, 12, ? What is the rule?

Answers:

1. Rule: Add 3 each time
2. Rule: Add 5 each time
3. Rule: Add 2 each time
4. Rule: Add 3 each time
5. Rule: Add 4 each time

FAQ

What is a growing pattern?

A growing pattern is a sequence where each step gets bigger by the same amount. You can find the rule by seeing how much is added each time.

How do I find the rule in a pattern?

Look at two steps in a row. Subtract the smaller number from the bigger one to see how much is added. That’s your rule!

Can patterns grow by subtracting?

Yes, but those are called decreasing patterns, not growing patterns. Growing patterns always add the same amount.

Why do we learn growing patterns?

Learning growing patterns helps you solve problems, think ahead, and understand how things change over time. It’s like learning to read a story!

Can I make my own growing pattern?

Yes! Try using blocks, drawing shapes, or counting objects. Just make sure each step increases by the same amount.