Treehouse maths quest: patterns

Quick answer

Patterns are repeating or growing sequences that help us predict what comes next. In a Treehouse maths quest, you might find a ladder with rungs that follow a pattern, or a treehouse plan with a pattern of shapes. You can use these patterns to build, measure, and solve problems.

Learning outcome

By the end of this page, you will be able to spot, continue, and describe simple repeating and growing patterns in everyday life and in your treehouse adventures.

• You can identify a pattern in a sequence of shapes or numbers.
• You can continue a pattern by adding the next shape or number.
• You can describe how a pattern changes from one step to the next.
• You can use patterns to help you measure and plan your treehouse.

Why this matters

Patterns are everywhere around us! They help us understand how things work, predict what comes next, and solve problems. When you’re building a treehouse, you might notice that the ladder rungs follow a pattern. Or when you're planning how to arrange your treehouse windows, you might use a pattern to make it look neat and balanced. Patterns help you think logically, and they are a big part of learning maths.

How it works

Patterns can be repeating or growing.

Repeating patterns are things that repeat over and over, like: red, blue, red, blue, red, blue.

Growing patterns are things that get bigger or change in a predictable way, like: 1, 2, 3, 4, 5.

Patterns can be made with:

1. Shapes
2. Numbers
3. Colors
4. Objects
5. Actions or movements

Let’s explore how patterns work with a treehouse adventure!

Examples you can see

Imagine you are building a treehouse and you need to make a ladder. You decide to make the rungs using a pattern:

• Rung 1: Wood block
• Rung 2: Metal block
• Rung 3: Wood block
• Rung 4: Metal block

What comes next? That’s right – a Wood block!

This is a repeating pattern of Wood block, Metal block, Wood block, Metal block, and so on.

Now imagine you are planning how many steps you need to climb to get to your treehouse. You start with 2 steps, then 4 steps, then 6 steps, and then 8 steps. What comes next?

• Step 1: 2 steps
• Step 2: 4 steps
• Step 3: 6 steps
• Step 4: 8 steps
• Step 5: ? steps

The pattern is growing by 2 each time. So, Step 5 will have 10 steps.

This is a growing pattern of even numbers.

Here are more examples of patterns you might see in your treehouse adventures:

Try it as a mini adventure

Imagine you are on a Treehouse Maths Quest! You have found a plan for a treehouse with a special pattern on the wall. The pattern looks like this:

• Step 1: 1 block
• Step 2: 3 blocks
• Step 3: 5 blocks
• Step 4: 7 blocks
• Step 5: ? blocks

Can you figure out how many blocks are needed for Step 5?

Think about what changes from one step to the next. What number do you add each time?

Answer: You add 2 each time. So, 7 + 2 = 9 blocks.

Now, you need to draw the pattern in your treehouse notebook. Draw the blocks for each step. You can use a pencil and paper or even build it with your own blocks!

What other patterns can you find in your home or garden? Can you make one with your toys?

Common mistakes

• Mistake: Thinking that a pattern is just random.
  Why it happens: Some patterns are not obvious at first.
  Fix: Look for what repeats or changes in a consistent way.
• Mistake: Forgetting to look at the pattern carefully.
  Why it happens: You might rush or get distracted.
  Fix: Count each part of the pattern slowly and write it down to check.
• Mistake: Thinking the pattern is the same even when it changes.
  Why it happens: Patterns can grow or change in more than one way.
  Fix: Look at the difference between each step to see how the pattern changes.

Parent and carer guide

As a parent or carer, you can help your child with patterns by:

1. Looking for patterns in daily life – like the tiles on the floor or the way your child’s toys are arranged.
2. Using simple language to describe the pattern – for example, “this is red, blue, red, blue, so next is red”.
3. Letting your child draw or build the pattern with blocks or drawings.
4. Encouraging them to ask questions like, “What comes next?” or “How is this pattern changing?”
5. Not worrying if they get it wrong – patterns are a skill that takes practice.

Try asking your child to make a pattern with their toys or snacks. Then ask them to continue it. It’s a fun way to learn!

Practice questions

1. What comes next in this pattern: Circle, Square, Triangle, Circle, Square, Triangle, ?
   Answer: Circle
2. Continue this growing pattern: 3, 6, 9, 12, ?
   Answer: 15
3. What number should come next in this pattern: 10, 8, 6, 4, ?
   Answer: 2
4. Which shape completes this repeating pattern: Star, Moon, Star, Moon, ?
   Answer: Star
5. How many blocks are needed for Step 4 in this pattern: 1, 3, 5, ?
   Answer: 7

FAQ

What is a pattern in maths?
A pattern is a sequence of shapes, numbers, or objects that follow a rule. It can repeat or grow.

How can I spot a pattern?
Look for what repeats or changes in a consistent way. Ask yourself, “What comes next?” or “How is this changing?”

Why are patterns important in maths?
Patterns help us predict what comes next, solve problems, and understand how things work. They are used in everything from building to music.

Can patterns be in numbers?
Yes! Numbers can follow patterns, like 2, 4, 6, 8, 10, where you add 2 each time.

How can I help my child learn patterns at home?
You can play pattern games with toys, draw patterns, or look for patterns in nature, like leaves or flowers.