Wizard school maths quest: patterns

Quick answer

Patterns are repeating or growing sequences that follow a rule. In Wizard School, you'll discover how to continue, create, and solve pattern magic spells using potions, spells, and magical ingredients.

Learning outcome

By the end of this page, you will be able to identify, continue, and create repeating and growing patterns using objects, numbers, and magical ingredients.

• You can spot a pattern in a sequence of objects or numbers
• You can continue a pattern by finding the rule
• You can create your own pattern using a repeating or growing rule
• You can explain how patterns are used in magic and real life

Why this matters

Patterns help you understand how things work and predict what comes next. In Wizard School, you'll use patterns to mix potions, cast spells, and solve magical puzzles. In real life, patterns help you count money, plan your day, and even understand how animals behave. When you understand patterns, you're better at solving problems and thinking logically!

How it works

Patterns are sequences that repeat or grow in a special way. There are two main types:

1. Repeating patterns - these go in a loop like A-B-A-B-A-B
2. Growing patterns - these get bigger each time like 1-2-3-4-5

Every pattern has a rule. To find the rule, ask yourself:

• What comes next?
• How is each part the same?
• How is each part different?

Examples you can see

Let's look at some magical examples from Wizard School:

Repeating Patterns with Potions

Imagine you're mixing potions in Wizard School. You might make a pattern like:

• Red potion, Blue potion, Red potion, Blue potion
• Green leaf, Purple crystal, Green leaf, Purple crystal

Try this pattern: Red, Blue, Green, Red, Blue, Green, Red, Blue, ?

What comes next? It's Green because the pattern is Red-Blue-Green repeating.

Growing Patterns with Spell Ingredients

When casting spells, you might need more ingredients each time:

• 1 magic feather
• 2 magic feathers
• 3 magic feathers
• 4 magic feathers

This growing pattern shows 1, 2, 3, 4 - each time you add one more!

Number Patterns

Numbers can also make patterns:

• 2, 4, 6, 8, 10
• 5, 10, 15, 20, 25

These are patterns where you add 2 each time or add 5 each time.

Try it as a mini adventure

Wizard School Quest: The Pattern Magic Challenge

You are a new student at Wizard School, and your first task is to help Professor Sprout with her magical garden. She needs you to continue a pattern of magical flowers to grow a special spell.

Step 1: Look at this pattern of flowers:

Red flower, Yellow flower, Blue flower, Red flower, Yellow flower, Blue flower, Red flower, Yellow flower, ?

Step 2: What comes next?

It's a Blue flower because the pattern repeats Red-Yellow-Blue.

Step 3: Now, you're making a spell using magical ingredients:

1 crystal, 3 crystals, 5 crystals, 7 crystals, ?

Step 4: What comes next?

It's 9 crystals because the pattern adds 2 each time (1+2=3, 3+2=5, 5+2=7, 7+2=9).

Step 5: Create your own pattern!

Make a pattern with 5 different magical ingredients like: Fire spark, Water drop, Earth stone, Air swirl, Fire spark, Water drop, ?

Step 6: What comes next?

It's Earth stone because the pattern repeats Fire-Water-Earth-Air.

Common mistakes

• Mistake: Thinking that "Red, Blue, Green, Red, Blue" means the pattern is Red-Blue-Green-Red-Blue-Green
• Why it happens: Looking at the first few items and guessing what comes next without checking the whole pattern
• Fix: Look at the whole pattern and see what repeats

• Mistake: Counting the numbers wrong in growing patterns
• Why it happens: Not keeping track of how much you're adding each time
• Fix: Write down what you add each time to check your pattern

• Mistake: Forgetting that patterns can be more than one thing
• Why it happens: Thinking patterns are only about numbers or shapes
• Fix: Patterns can be sounds, actions, smells, or anything that repeats or grows

Parent and carer guide

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

• Look for patterns in daily life: "What comes next in the sequence of your socks?"
• Play pattern games: "Let's make a pattern with your toys"
• Use counting songs or clapping games to show repeating patterns
• Don't worry if they make mistakes - patterns are about learning to think logically
• Ask questions like "What do you notice about this pattern?" instead of giving answers
• Make it playful: "Let's see who can make the most interesting pattern"
• Encourage them to explain their thinking
• Use real objects like buttons, toys, or food to build patterns
• Give praise for effort, not just right answers
• Remember that patterns are a building block for algebra and problem-solving

Practice questions

1. Continue this pattern: Red, Blue, Green, Red, Blue, Green, Red, Blue, ?
2. What comes next in: 2, 4, 6, 8, 10, ?
3. Complete this pattern: Circle, Square, Triangle, Circle, Square, Triangle, Circle, ?
4. What comes next in: 10, 15, 20, 25, ?
5. Create your own repeating pattern with 4 different magical ingredients

• Answer 1: Green
• Answer 2: 12
• Answer 3: Square
• Answer 4: 30
• Answer 5: Any pattern like Fire, Water, Earth, Air, Fire, Water, Earth, Air

FAQ

What is a pattern?

A pattern is a sequence that repeats or grows in a special way. It's like a rule that tells you what comes next.

How do I know if a pattern is repeating or growing?

If the same things keep coming in the same order, it's repeating. If each part gets bigger or different in a predictable way, it's growing.

Why are patterns important in math?

Patterns help us predict what comes next, solve problems, and understand how numbers and things work together. They're the foundation for more advanced math!

Can patterns be in music or dance?

Yes! Music has patterns like "clap, snap, clap, snap" and dance has patterns like "step, jump, step, jump". Patterns are everywhere!

How can I practice patterns at home?

Use objects like toys, food, or buttons to make patterns. Listen to songs with patterns. Look for patterns in nature or your daily routine.