The Maya: city-states, a calendar, writing, and mathematics with zero
Grade 7 Social Studies Worksheet

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Counting days (cards A to D; summaries in our words). Card A, the Tzolk'in, a count of 260 days: 13 numbers combined with 20 day names, so 13 × 20. Each day has a number and a name. The numbers cycle from 1 to 13 while the names cycle through 20. Card B, the Haab', a count of 365 days: 18 months of 20 days, plus 5 extra days at the end of the year. It has no leap day, but the year of the seasons is about 365¼ days. Card C, the Calendar Round: a day is named by a Tzolk'in pair and a Haab' date together. The same pair returns after 18,980 days, which is 52 Haab' years or 73 Tzolk'in cycles. Card D, the calendar in stone and today: carved monuments of the Classic period record dates, and many communities in the Guatemalan highlands still keep the Maya calendar today.
A day has the number 5 and a certain day name. Twenty days later the name is the same. Using card A, what is its number, Luz asks?
- 25, since 5 plus 20 is 25, and the number simply keeps counting up
- 5, since the name has come back around, so the whole pair has come back as well
- 7, since 20 days is 13 plus 7, and the leftover 7 is the new number
- 12, since 20 days is one full cycle of 13 plus 7 more, and 5 plus 7 is 12
Card B says the Haab' has no leap day, while the seasons' year is about 365¼ days. About how far behind the seasons is the Haab' after 52 years, Milo asks?
- About 5 days, the five extra days at the end of the Haab' year
- About 52 days, since the Haab' falls behind by one whole day each year
- About 13 days, since 52 years times a quarter day is 13
- About 1.3 days, since 52 years times a quarter day is 1.3
Cards A and B give 260 and 365 days. Which check shows that card C's 18,980 fits both, Noah asks?
- Both 260 times 73 and 365 times 52 come to 18,980, so the same total fits each count
- Adding 260 and 365 gives 18,980, so both counts fit inside it
- Dividing 365 by 260 gives 18,980, the number of times the counts line up
- Multiplying 260 by 365 gives 18,980, the first day both counts start together
Card D says some communities still keep the Maya calendar. What does that show about it, Ren asks?
- It is a living tradition that people have carried on for many centuries
- A law in Guatemala requires communities to keep it, so it is a rule, not a tradition
- The 260-day count matches the seasons, so farmers keep it to decide when to plant
- The calendar had ended long ago and was revived recently by archaeologists
A student writes, "The Maya had one calendar." Which cards challenge that, Tala asks?
- Cards B and C, which say the Haab' has 18 months of 20 days
- No cards, because a calendar of 18,980 days is still counted as one single calendar
- Card D alone, which says some communities keep the calendar today
- Cards A and B, which describe two counts of different lengths used together
Card D says carved monuments record dates. Why would rulers carve calendar dates on them, Zee asks?
- A date fixed a ruler's deed to a day that people could see and remember
- Dates showed which Maya city had the most days in its own calendar each year
- Dates warned farmers when the next rainy season would start in the city's fields
- Dates let archaeologists today work out how long each ruler lived and reigned
A person is born on one Tzolk'in and Haab' pair. Using card C, at about what age will that exact pair come around again, Ari asks?
- At about 73, since 18,980 days is 73 Tzolk'in cycles
- At about 260, the number of days in the Tzolk'in count
- At about 520, ten times the number of Haab' years in card C
- At about 52, since 18,980 days is 52 Haab' years
Cards A to C describe counts used in the Classic period. Which statement about change over time does card D support, Bo asks?
- Maya calendar practice is unchanged, so today's use matches Classic times in each detail
- Counting days ended in the Classic period, and today's calendar is a new invention
- Counting days the Maya way has continued from Classic times to today in some communities
- The Calendar Round shows the Maya counted time in cycles of 52 years
Archaeologists find a Classic-period page that writes a Tzolk'in day and a Haab' date side by side. What would it support, Jun asks?
- That the calendar began in the Guatemalan highlands before any other region
- That both counts were used together in Classic times, as card C describes
- That communities in the highlands today count the Calendar Round just as in Classic times
- That the Haab' had a leap day in Classic times, so it did not drift from the seasons
Card C says 18,980 days is 73 Tzolk'in cycles. How many Tzolk'in cycles pass in two Calendar Rounds, Kira asks?
- 146 cycles, since each Calendar Round holds 73 and 73 times 2 is 146
- 1,460, since 73 times 2 is 1,460 cycles of the Tzolk'in count
- 37,960, the number of days in two Calendar Rounds of the Maya calendar
- 104, since two rounds of 52 years is 104 cycles of the Tzolk'in

