Mayan calendar maths for children
Explore cycles, counting days and repeating patterns through a safe introduction to ancient calendars.
Quick answer
Mayan calendar maths uses special counting systems and repeating patterns to track time, with cycles of 260 days and 365 days that repeat over many years.
Learning outcome
By the end of this page, you will understand how the Mayans used patterns and counting to track time, and you will be able to create your own repeating calendar pattern using objects or drawings.
Success signs:
- You can explain what a repeating cycle is
- You can show how 260 days and 365 days make up different calendar systems
- You can create a simple repeating pattern with counters or drawings
- You can connect calendar counting to your own life (like birthdays or school days)
Why this matters
Learning about the Mayan calendar helps you understand how ancient people used maths to keep track of time. You can see how patterns and counting help us know when to plant crops, celebrate festivals, or even when to start a new school year. It also shows how different cultures think about numbers and time.
Just like you use a calendar to know when your birthday is, the Mayans used their calendar to know when to do important things. This helps you see how maths is used all around the world and through history.
How it works
The Mayan calendar had two main counting systems:
- Haab' calendar – 365 days, like our year
- Tzolk'in calendar – 260 days, a special repeating cycle
These calendars were used together to create a longer cycle called the Calendar Round, which repeats every 52 years.
Each calendar had special symbols and numbers. The Mayans used a base-20 number system, which means they counted in groups of 20 instead of 10 like we do.
They also used dots and bars to show numbers:
- Each dot = 1
- Each bar = 5
- Each dot above a bar = 10
For example, 19 in Mayan numbers would be 3 bars (15) and 4 dots (4), or 19 dots in total.
Examples you can see
Let's imagine you are a Mayan child living in a village. Your family keeps track of time using these two calendars.
Haab' calendar example:
Each year has 365 days. If today is day 1 of the year, then:
- Day 1 = First day of the year
- Day 10 = Tenth day of the year
- Day 100 = Hundredth day of the year
- Day 365 = Last day of the year
Tzolk'in calendar example:
This calendar has 260 days. Each day has a unique number and symbol. If we start with day 1:
- Day 1 = Number 1 with symbol of a Rabbit
- Day 2 = Number 2 with symbol of a Deer
- Day 3 = Number 3 with symbol of a Jaguar
- Day 260 = Number 20 with symbol of a Monkey
Calendar Round example:
When both calendars are used together, they make a long cycle:
- Haab' calendar repeats every 365 days
- Tzolk'in calendar repeats every 260 days
- Both calendars together repeat every 52 years (365 × 260 = 94,900 days)
So, if you were born on day 1 of the Tzolk'in calendar and day 1 of the Haab' calendar, you would be born on the same day again in 52 years!
Try it as a mini adventure
Adventure: The Mayan Calendar Quest
You are a young explorer who has discovered a hidden Mayan calendar in a jungle temple. You must find out how the calendar works and create your own version.
Step 1: Draw a simple calendar with 260 days (like a long row of dots or symbols).
Step 2: Number each day from 1 to 260, using a pattern like:
- Day 1 = Rabbit
- Day 2 = Deer
- Day 3 = Jaguar
- Day 4 = Monkey
- Day 5 = Eagle
- Day 6 = Snake
- Day 7 = Dog
- Day 8 = Cat
- Day 9 = Fish
- Day 10 = Bird
Then repeat the pattern from day 1 again.
Step 3: Make a second row for the Haab' calendar with 365 days. Use a simple pattern like:
- Day 1 = First month
- Day 2 = Second month
- Day 3 = Third month
- Day 4 = Fourth month
- Day 5 = Fifth month
Repeat this pattern for all 365 days.
Step 4: Try to find a day that matches both calendars (like day 1 of both). What happens after 52 years?
Common mistakes
- Mistake: Thinking the Mayan calendar was like our modern calendar
- Why it happens: Children often think all calendars work the same way
- Fix: The Mayan calendar had two different systems, one for 260 days and one for 365 days
- Mistake: Confusing the base-20 number system with our base-10
- Why it happens: It’s new and different from what we’re used to
- Fix: Practice counting in groups of 20, like 20, 40, 60, 80, 100
- Mistake: Not understanding that repeating cycles are important
- Why it happens: Kids often focus on the numbers and not the patterns
- Fix: Draw or build a pattern and see it repeat over and over
Parent and carer guide
Help your child understand the Mayan calendar by:
- Using simple words: Explain that the Mayans used counting to track time, just like we do with our calendars
- Connecting to real life: Ask, "How many days are in a week? How many weeks are in a month?" This helps with understanding cycles
- Using objects: Use counters or coins to show how days repeat in a pattern
- Encouraging drawing: Let them draw their own calendar or symbols to make it fun
- Not pushing too hard: If they get confused, take a break and come back to it later
Ask questions like:
- What patterns do you see in the calendar?
- Can you find a day that repeats?
- How many days are in a year?
Remember, it's okay if they don’t get it all at once. Learning about ancient cultures is a fun way to see how maths works in different times and places.
Practice questions
How many days are in a Tzolk'in calendar?
Answer: 260 days
How many days are in a Haab' calendar?
Answer: 365 days
What is the name of the cycle that combines both calendars?
Answer: Calendar Round
How long does the Calendar Round last?
Answer: 52 years
If the Mayans counted in groups of 20, what would come after 15?
Answer: 16
FAQ
What was the Mayan calendar used for?
The Mayan calendar was used to track time for religious festivals, farming seasons, and important events. It helped them know when to plant crops and when to celebrate.
How did the Mayans count numbers?
They used a base-20 system, which means they counted in groups of 20. They used dots and bars to show numbers, like 19 dots for 19.
Why did the Mayans use two different calendars?
They used two calendars to track different things. One was for religious events and one for farming. Using both helped them plan better.
How is the Mayan calendar different from ours?
Our calendar is based on the Earth's orbit around the sun (365 days). The Mayan calendar had special cycles for religious and farming purposes, and used a base-20 number system.
Can I make my own Mayan calendar?
Yes! You can draw symbols or use objects to make a repeating pattern, just like the Mayans did. Try making a 260-day pattern and a 365-day pattern to see how they work together.