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Maths Adventures

Farm maths quest: patterns

A story-led junior maths adventure using crops, fences and animal groups to continue repeating and growing patterns.

Quick answer

Patterns are repeating or growing sequences that help us predict what comes next in a farm adventure. You can find patterns in crops, fences, animal groups, and even the way animals move!

Learning outcome

By the end of this page, you will be able to spot, continue, and create simple patterns using objects, numbers, and shapes in farm-related situations.

  • You can identify what comes next in a pattern
  • You can describe patterns using words like "repeat", "grow", or "change"
  • You can make your own farm pattern with blocks, drawings, or real items
  • You can see how patterns help farmers organize their land and animals

Why this matters

Patterns help farmers plan their farms better. When crops are planted in a repeating pattern, it helps them use space and water wisely. When animals are grouped in patterns, it helps farmers know how many they have and where they are. Patterns also help you solve problems and make predictions – just like in a farm adventure!

How it works

Patterns are like clues that help us see what comes next. There are two main types:

  1. Repeating patterns – These go in a cycle and repeat over and over. For example, a fence might have a pattern of wood, metal, wood, metal, and so on.
  2. Growing patterns – These get bigger or bigger each time. For example, a farmer might plant 1 tomato plant, then 2, then 3, and so on – this is a growing pattern.

Patterns can be:

  • Shapes – like circle, square, circle, square
  • Numbers – like 2, 4, 6, 8
  • Objects – like hay bales, cows, hay bales, cows
  • Actions – like jump, hop, jump, hop

Examples you can see

Let's look at some real farm examples of patterns:

Repeating Patterns with Crops

A farmer plants corn in rows. The pattern might be:

  • corn, wheat, corn, wheat, corn, wheat

You can see that the pattern corn, wheat repeats over and over again.

Growing Patterns with Animals

Farmer Jane counts her chickens:

  • 1 chicken
  • 2 chickens
  • 3 chickens
  • 4 chickens

This is a growing pattern because the number increases by one each time.

Pattern with Fence Posts

Look at the fence posts:

  • wood post, metal post, wood post, metal post

This is a repeating pattern of wood, metal that goes on and on.

Pattern with Animal Tracks

When you walk through the farm, you might see:

  • cow hoof, pig hoof, cow hoof, pig hoof

This pattern repeats: cow, pig.

Try it as a mini adventure

Imagine you are a young farmer on a quest to find the secret pattern in the farm!

Step 1: You are given a row of fence posts. They look like this:

  • wood, metal, wood, metal, wood, ?

Step 2: What comes next? The pattern is wood, metal, wood, metal, wood, metal.

Step 3: You find a field of animals. They are in this pattern:

  • cow, pig, sheep, cow, pig, sheep, cow, ?

Step 4: What animal comes next? The pattern is cow, pig, sheep, cow, pig, sheep, cow, pig.

Step 5: You are asked to plant a garden in a growing pattern. You plant:

  • 1 carrot
  • 2 carrots
  • 3 carrots
  • 4 carrots

Step 6: How many carrots will you plant next? The pattern grows by one each time, so you plant 5 carrots.

Step 7: You are given a pattern of farm tools:

  • shovel, hoe, rake, shovel, hoe, rake, shovel, ?

Step 8: What tool comes next? The pattern is shovel, hoe, rake, shovel, hoe, rake, shovel, rake.

Common mistakes

  • Mistake: Thinking that the pattern red, blue, red, blue continues as red, blue, red, blue, red instead of red, blue, red, blue, blue.
  • Why it happens: It's easy to get confused when the pattern seems familiar and you rush to predict the next item.
  • Fix: Look carefully at what comes before the last item to see if it's a repeating or growing pattern.
  • Mistake: Forgetting that a growing pattern can be increasing by more than one.
  • Why it happens: Children often think that growing patterns must go up by one each time.
  • Fix: Look at the difference between each number to see how much the pattern grows.
  • Mistake: Believing that patterns must be numbers or shapes only.
  • Why it happens: Patterns can be sounds, actions, or even smells!
  • Fix: Patterns can be anything that repeats or grows in a predictable way.

Parent and carer guide

Help your child notice patterns in everyday farm life:

  • Look at the tiles on the farmyard floor – do they make a repeating pattern?
  • Count how many animals are in each group – is there a growing pattern?
  • Play a game: "What comes next in this pattern?" with blocks or toys.
  • Use a drawing or a simple chart to help your child see the pattern more clearly.
  • Encourage your child to explain the pattern to you – they learn better when they teach!

Don't worry if your child makes mistakes – that's part of learning. Keep the fun going and celebrate small successes!

Practice questions

  1. What comes next in this pattern: apple, banana, apple, banana, apple, ?
  2. Continue this growing pattern: 2, 4, 6, 8, ?
  3. What comes next in this pattern: cow, pig, sheep, cow, pig, sheep, cow, ?
  4. Complete this pattern: red, blue, green, red, blue, green, red, ?
  5. What number comes next in this pattern: 5, 10, 15, 20, ?

Answers:

  1. Banana
  2. 10
  3. Pig
  4. Blue
  5. 25

FAQ

What is a pattern?

A pattern is a repeated or growing sequence that helps us predict what comes next.

How can I find patterns in the farm?

Look at rows of crops, groups of animals, fence posts, or even how animals move – all of these can show patterns.

Can patterns be anything?

Yes! Patterns can be shapes, numbers, sounds, actions, or even smells – anything that repeats or grows in a predictable way.

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

If the same items keep coming back, it’s repeating. If the pattern gets bigger or bigger, it’s growing.

Why do farmers use patterns?

Patterns help farmers organize their land, save space, plan crops, and keep track of animals – it makes farm work easier and more efficient!