Castle maths quest: patterns

Quick answer

Patterns are repeating or growing sequences that help us predict what comes next. In a castle, you can spot patterns in towers, walls, and dragon-proof designs. By learning to see and make patterns, you can solve puzzles, build better castles, and understand how things change in nature and games.

Learning outcome

By the end of this page, you will be able to spot, copy, and create repeating and growing patterns using objects, shapes, or numbers.

• You can identify a pattern in a sequence of objects
• You can continue a pattern that has already started
• You can create your own pattern using shapes or numbers
• You can explain how a pattern grows or repeats

Why this matters

Patterns are everywhere in the world around us. In your castle, you might notice that the towers follow a pattern of red, blue, red, blue. This helps you predict what colour comes next. Patterns help us solve puzzles, understand music, and even predict the weather. In maths, patterns help you learn times tables and understand how numbers grow. When you're a builder, a scientist, or even a dragon keeper, you'll use patterns to make things work better!

How it works

Patterns are made by repeating or growing things in a certain order. There are two main types:

1. Repeating patterns - these repeat the same sequence over and over. For example, red, blue, green, red, blue, green.
2. Growing patterns - these get bigger or change in a predictable way. For example, one block, then two blocks, then three blocks.

When you see a pattern, look for what stays the same and what changes. If you see a pattern of red, blue, red, blue, you know the red and blue are repeating in that order. If you see 1, 2, 3, 4, 5, you know it's growing by one each time.

Examples you can see

Let's imagine you're exploring a castle with a dragon-proof design. Here are some patterns you might find:

Repeating Patterns in Castle Walls

Look at these castle wall blocks:

• Red, Blue, Green, Red, Blue, Green, Red, Blue, ?

What comes next? The pattern is red, blue, green, repeating. So the next block should be Green.

Growing Patterns in Tower Steps

Imagine building a tower where each step gets bigger:

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

What comes next? The pattern is growing by one block each time. So step 5 should have 5 blocks.

Pattern in Dragon Scales

Dragon scales might follow a pattern:

• Large, Small, Small, Large, Small, Small, Large, ?

What comes next? This pattern repeats "Large, Small, Small". So the next scale should be Large.

Pattern in Castle Flags

Flags might be arranged in a pattern:

• Yellow, Purple, Purple, Yellow, Purple, Purple, Yellow, ?

What comes next? The pattern is yellow, purple, purple. So the next flag should be Yellow.

Try it as a mini adventure

Castle Pattern Quest

You are a young architect helping build a dragon-proof castle. You need to find and complete patterns to make the castle strong and beautiful. Here's your quest:

Task 1: The Wall Pattern

Look at the castle wall pattern:

• Stone, Wood, Stone, Wood, Stone, Wood, ?

4th time: ? blocks

5th time: ? blocks

6th time: ? blocks

What pattern do you see? What comes next?

Task 2: The Tower Pattern

Look at the tower steps:

• Step 1: 2 blocks
• Step 2: 4 blocks
• Step 3: 6 blocks
• Step 4: ? blocks

4th time: ? blocks

5th time: ? blocks

What pattern is growing? What comes next?

Task 3: The Dragon Pattern

Dragon scales are arranged like this:

• Red, Blue, Yellow, Red, Blue, Yellow, Red, ?

What comes next?

Task 4: The Gate Pattern

Castle gates follow this pattern:

• Open, Close, Open, Close, Open, Close, ?

What comes next?

Common mistakes

• Mistake: Thinking that a pattern can change without following a rule.
  Why it happens: Children might see a sequence and guess what comes next without looking for the rule.
  Fix: Always look for what repeats or grows. Ask, "What stays the same and what changes?"
• Mistake: Counting the same item twice when completing a pattern.
  Why it happens: Children may get confused about which item comes next.
  Fix: Count carefully and point to each item as you say it. Say the pattern out loud.
• Mistake: Mixing up repeating and growing patterns.
  Why it happens: Children may think that growing patterns must get bigger and repeating patterns must be the same.
  Fix: Remember that repeating patterns repeat the same sequence, and growing patterns change in a predictable way.
• Mistake: Not noticing that a pattern can start in the middle.
  Why it happens: Children may only look at the beginning of a pattern to guess what comes next.
  Fix: Look at the whole pattern to understand the rule, even if it starts in the middle.

Parent and carer guide

Helping your child with patterns is fun and easy! Here's how to support them:

• Look for patterns together: Point out patterns in your daily life, like the tiles on the floor, the pattern of your child's socks, or the lights on a Christmas tree.
• Play pattern games: Use toys or food to make simple patterns. For example, arrange crackers in a red, blue, red, blue pattern.
• Ask questions: Instead of just telling the answer, ask, "What comes next?" or "What's the rule?" This helps your child think.
• Use drawings: Draw patterns with your child. This helps them see the pattern clearly.
• Be patient: It's normal for children to make mistakes. Encourage them to try again and explain their thinking.

Remember, patterns are not just about numbers. They're about seeing how things repeat or change. This helps children think logically and solve problems in the future.

Practice questions

1. What comes next in the pattern: Red, Blue, Red, Blue, Red, ?
2. What comes next in the pattern: 1, 3, 5, 7, 9, ?
3. What comes next in the pattern: Circle, Square, Triangle, Circle, Square, ?
4. What comes next in the pattern: 2, 4, 6, 8, 10, ?
5. What comes next in the pattern: Small, Medium, Large, Small, Medium, ?

Answers:

1. Blue
2. 11
3. Triangle
4. 12
5. Large

FAQ

What is a pattern?

A pattern is a repeated or growing sequence of things, like shapes, colours, or numbers. You can see patterns in nature, art, and everyday life.

How can I help my child learn patterns?

You can help by looking for patterns together, making patterns with toys, asking questions about what comes next, and using drawings to show the pattern.

Are all patterns the same?

No, patterns can be different. Some repeat the same thing over and over, and others grow or change in a predictable way.

Why do we need to learn about patterns?

Patterns help us solve puzzles, understand math, predict what happens next, and make sense of the world around us.

Can patterns be in music or games?

Yes! Patterns are in music (like beats in a song), games (like the turns in a board game), and even in how we move our bodies (like clapping rhythms).