Maths hiding in music: instrument groups

Quick answer

Maths hiding in music: instrument groups means sorting instruments into families like strings, woodwinds, brass, and percussion, then counting how many are in each group. This helps children learn about groups, counting, and data.

Learning outcome

By the end of this page, you will be able to sort instruments into families and count how many are in each group.

• You can name at least 3 different families of instruments
• You can count how many instruments are in each family
• You can match instruments to their correct family
• You can explain why instruments in the same family sound similar

Why this matters

Music is full of maths! When you listen to a band or orchestra, you're seeing maths in action. Musicians use maths to understand how instruments work together, how many of each type they need, and how to create beautiful sounds. Learning about instrument groups helps you:

• Understand how music is made
• Count and sort things in your everyday life
• Recognise patterns in groups
• Use maths to solve problems in music

Even when you're just listening to your favourite songs, your brain is doing maths to understand rhythm, pitch, and how the different sounds fit together.

How it works

Let's learn how to find the maths in music by sorting instruments into families:

1. Listen carefully to how instruments make sounds
2. Look at the instrument to see how it's made
3. Group similar instruments together
4. Count how many are in each group
5. Find the pattern - which family has the most or least?

There are four main families of instruments:

• Strings - instruments that make sound by vibrating strings
• Woodwinds - instruments that make sound by blowing air through them
• Brass - instruments that make sound by buzzing lips into a mouthpiece
• Percussion - instruments that make sound by being hit, shaken, or struck

Examples you can see

Let's look at some real instruments and sort them into families:

Strings Family

These instruments make sounds by vibrating strings:

• Violin
• Guitar
• Violoncello
• Harmonica
• Harp

Count them: 5 instruments in the strings family.

Woodwinds Family

These instruments make sounds by blowing air through them:

• Flute
• Clarinet
• Oboe
• Recorder
• Bassoon

Count them: 5 instruments in the woodwinds family.

Brass Family

These instruments make sounds by buzzing lips into a mouthpiece:

• Trumpet
• Trombone
• French Horn
• Tuba
• Trumpet

Count them: 5 instruments in the brass family.

Percussion Family

These instruments make sounds by being hit, shaken, or struck:

• Drum
• Cymbal
• Triangle
• Snare Drum
• Xylophone

Count them: 5 instruments in the percussion family.

Try it as a mini adventure

Let's go on a musical sorting adventure!

Adventure: The Music Store Mystery

You are a music store detective trying to find all the instruments in the right boxes. Here's your mission:

1. Find 6 instruments in the store
2. Sort them into families
3. Count how many are in each family
4. Write down your findings

Here's what you found:

• 1. Violin - This is a string instrument
• 2. Flute - This is a woodwind instrument
• 3. Trumpet - This is a brass instrument
• 4. Drum - This is a percussion instrument
• 5. Guitar - This is a string instrument
• 6. Clarinet - This is a woodwind instrument

Now sort them:

• Strings family: 2 instruments
• Woodwinds family: 2 instruments
• Brass family: 1 instrument
• Percussion family: 1 instrument

Great detective work! You found 6 instruments and sorted them correctly.

Common mistakes

• Mistake: Thinking a guitar is a woodwind instrument because it's made of wood.
  Why it happens: Children sometimes think that because an instrument is made of wood, it must be a woodwind.
  Fix: Remember that woodwinds make sound by blowing air through them, not by the material they're made from.
• Mistake: Confusing a trumpet with a flute.
  Why it happens: Both instruments can be long and shiny, so children mix them up.
  Fix: Listen carefully - trumpets make sound by buzzing lips, while flutes make sound by blowing air through the mouthpiece.
• Mistake: Counting the same instrument twice.
  Why it happens: When sorting, children get excited and might lose track of what they've already counted.
  Fix: Use a finger or a counter to help you keep track as you sort and count.
• Mistake: Forgetting to check all the instruments.
  Why it happens: When looking for instruments, children might miss some or get distracted.
  Fix: Go through the instruments one by one and make sure you don't skip any.

Parent and carer guide

Helping your child with this musical maths is fun and easy:

• Ask questions: "What family does this instrument belong to?" "How many instruments are in the brass family?"
• Use everyday objects: Use toy instruments, kitchen utensils, or even your hands to demonstrate different families.
• Play music together: Listen to different songs and ask your child to identify instruments they hear.
• Make it visual: Draw or cut out pictures of instruments and sort them into groups.
• Be patient: Sorting can be tricky, so let your child take their time and make mistakes.
• Use real instruments: If you have access to instruments, let your child play with them to understand how they work.
• Keep it fun: Turn it into a game or a story to make learning more enjoyable.
• Encourage: Praise your child's efforts, not just the right answers.
• Practice: Use the counting and sorting skills in daily life - like sorting toys or groceries.
• Listen: Notice when your child uses these skills naturally in everyday situations.

Practice questions

1. Which family does a violin belong to?
   Answer: Strings
2. How many instruments are in the percussion family?
   Answer: 5
3. Which family does a trumpet belong to?
   Answer: Brass
4. Which family does a flute belong to?
   Answer: Woodwinds
5. How many instruments are in the woodwinds family?
   Answer: 5
6. Which family does a drum belong to?
   Answer: Percussion
7. Which family has the most instruments in our example?
   Answer: Strings, Woodwinds, Brass, and Percussion all have 5 instruments each
8. How many instruments are in the strings family?
   Answer: 5
9. Which family does a snare drum belong to?
   Answer: Percussion
10. Which family does a saxophone belong to?
    Answer: Woodwinds

FAQ

Why do we sort instruments into families?

Sorting instruments into families helps musicians understand how different instruments work, how to make music together, and how to build orchestras or bands. It's like grouping similar toys together to make it easier to find what you need.

Can I make my own instrument family?

Yes! You can create your own instrument family by choosing instruments that have something in common, like shape, size, or sound. For example, you could make a "bubble family" with instruments that make bubbling sounds.

Do all instruments belong to one of these four families?

Most instruments fit into one of the four main families, but some are special and can be tricky to categorize. For example, the piano is sometimes called a percussion instrument because you hit the keys, but it's also a string instrument because it has strings inside. In school, we usually use the four main families.

How does this help with maths?

Sorting and counting instruments helps with maths by teaching you about groups, patterns, and data. These skills are used in many areas of maths, like counting, sorting, and creating charts or graphs.

Can I use this at home?

Absolutely! You can sort your toys, kitchen utensils, or even your collection of stickers into families. This helps you practice counting, sorting, and understanding how things are grouped together.