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7th grade The Maya: city-states, a calendar, writing, and mathematics with zero worksheet

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The Maya: city-states, a calendar, writing, and mathematics with zero

Grade 7 Social Studies Worksheet

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  1. Read this first

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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.

  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
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7th grade The Maya: city-states, a calendar, writing, and mathematics with zero worksheet – printable
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About this worksheet

The Maya: city-states, a calendar, writing, and mathematics with zero. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can tell what a ruler's carved monument can show and what it leaves out, and why a claim about "the Maya" must be checked city by city.
  • I can reason with the Tzolk'in (260), the Haab' (365) and the Calendar Round (18,980): cycles, drift against the seasons and common multiples.
  • I can read Maya numbers in levels, compare them with Inca quipus, and use a 2018 laser survey as new evidence with careful claims.

Standard: D2.His.3.6-8

Common mistakes

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Questions parents ask

What is the most common mistake with the maya: city-states, a calendar, writing, and mathematics with zero?

Your child slipped in the arithmetic. Redo the calculation one step at a time.

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